{"id":4918,"date":"2023-06-23T03:21:04","date_gmt":"2023-06-23T03:21:04","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=4918"},"modified":"2024-10-18T20:50:43","modified_gmt":"2024-10-18T20:50:43","slug":"whole-numbers-and-integers-get-stronger","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/whole-numbers-and-integers-get-stronger\/","title":{"raw":"Whole Numbers and Integers: Get Stronger","rendered":"Whole Numbers and Integers: Get Stronger"},"content":{"raw":"<h2>Identify Counting Numbers and Whole Numbers<\/h2>\r\n<p>In the following exercises, determine which of the following numbers are a) counting numbers and b) whole numbers.<\/p>\r\n<ol>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>,<\/mo><mfrac><mn>2<\/mn><mn>3<\/mn><\/mfrac><mo>,<\/mo><mn>5<\/mn><mo>,<\/mo><mn>8.1<\/mn><mo>,<\/mo><mn>125<\/mn><\/math>\r\n \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn><\/mn><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>,<\/mo><mfrac><mn>4<\/mn><mn>9<\/mn><\/mfrac><mo>,<\/mo><mn>3.9<\/mn><mo>,<\/mo><mn>50<\/mn><mo>,<\/mo><mn>221<\/mn><\/math>\r\n \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn><br \/>\r\n<\/mn><\/math>\r\n<\/li>\r\n<\/ol>\r\n<h2>Model Whole Numbers<\/h2>\r\n<p>In the following exercises, use place value notation to find the value of the number modeled by the base -10 blocks.<\/p>\r\n<ol style=\"list-style-type: decimal;\" start=\"3\">\r\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215303\/CNX_BMath_Figure_01_01_201_img.png\" alt=\"An image consisting of three items. The first item is five squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is six horizontal rods containing 10 blocks each. The third item is 1 individual block.\" \/>\r\n<p>&nbsp;<\/p>\r\n<\/li>\r\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215307\/CNX_BMath_Figure_01_01_203_img.png\" alt=\"An image consisting of two items. The first item is four squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 7 individual blocks.\" \/><\/li>\r\n<\/ol>\r\n<h2>Identify the Place Value of a Digit<\/h2>\r\n<p>In the following exercises, find the place value of the given digits.<\/p>\r\n<ol start=\"5\">\r\n\t<li>[latex]579,601[\/latex]\r\n\r\n<ul>\r\n\t<li>[latex]9[\/latex]<\/li>\r\n\t<li>[latex]6[\/latex]<\/li>\r\n\t<li>[latex]0[\/latex]<\/li>\r\n\t<li>[latex]7[\/latex]<\/li>\r\n\t<li>[latex]5[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t<li>[latex]56,804,379[\/latex]\r\n\r\n<ul>\r\n\t<li>[latex]8[\/latex]<\/li>\r\n\t<li>[latex]6[\/latex]<\/li>\r\n\t<li>[latex]4[\/latex]<\/li>\r\n\t<li>[latex]7[\/latex]<\/li>\r\n\t<li>[latex]0[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ol>\r\n<h2>Use Place Value to Name Whole Numbers<\/h2>\r\n<p>In the following exercises, name each number in words.<\/p>\r\n<ol start=\"7\">\r\n\t<li>[latex]1,078[\/latex]<\/li>\r\n\t<li>[latex]364,510[\/latex]<\/li>\r\n\t<li>[latex]5,846,103[\/latex]<\/li>\r\n\t<li>[latex]37,889,005[\/latex]<\/li>\r\n\t<li>The height of Mount Rainier is [latex]14,410[\/latex] feet.<\/li>\r\n\t<li>Seventy years is\u00a0[latex]613,200[\/latex] hours.<\/li>\r\n\t<li>One year is\u00a0[latex]525,600[\/latex] minutes.<\/li>\r\n\t<li>The U.S. Census estimate of the population of Miami-Dade county was\u00a0[latex]2,617,176[\/latex].<\/li>\r\n\t<li>The population of Chicago was\u00a0[latex]2,718,782[\/latex].<\/li>\r\n\t<li>There are projected to be\u00a0[latex]23,867,000[\/latex] college and university students in the US in five years.<\/li>\r\n\t<li>About twelve years ago there were\u00a0[latex]20,665,415[\/latex] registered automobiles in California.<\/li>\r\n\t<li>The population of China is expected to reach\u00a0[latex]1,377,583,156[\/latex] in\u00a0[latex]2016[\/latex].<\/li>\r\n\t<li>The population of India is estimated at\u00a0[latex]1,267,401,849[\/latex] as of July\u00a0[latex]1, 2014[\/latex].<\/li>\r\n<\/ol>\r\n<p><strong>Use Place Value to Write Whole Numbers<\/strong><\/p>\r\n<p>In the following exercises, write each number as a whole number using digits.<\/p>\r\n<ol start=\"20\">\r\n\t<li>four hundred twelve<\/li>\r\n\t<li>two hundred fifty-three<\/li>\r\n\t<li>thirty-five thousand, nine hundred seventy-five<\/li>\r\n\t<li>sixty-one thousand, four hundred fifteen<\/li>\r\n\t<li>eleven million, forty-four thousand, one hundred sixty-seven<\/li>\r\n\t<li>eighteen million, one hundred two thousand, seven hundred eighty-three<\/li>\r\n\t<li>three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen<\/li>\r\n\t<li>eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six<\/li>\r\n\t<li>The population of the world was estimated to be seven billion, one hundred seventy-three million people.<\/li>\r\n\t<li>The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.<\/li>\r\n\t<li>Lake Tahoe has a capacity of thirty-nine trillion gallons of water.<\/li>\r\n\t<li>The federal government budget was three trillion, five hundred billion dollars.<\/li>\r\n<\/ol>\r\n<h2>Round Whole Numbers<\/h2>\r\n<p>In the following exercises, round to the indicated place value.<\/p>\r\n<p>Round to the nearest ten:<\/p>\r\n<ol start=\"32\">\r\n\t<li>[latex]386[\/latex]<\/li>\r\n\t<li>[latex]2,931[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest ten:<\/p>\r\n<ol start=\"34\">\r\n\t<li>[latex]792[\/latex]<\/li>\r\n\t<li>[latex]5,647[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest hundred:<\/p>\r\n<ol start=\"36\">\r\n\t<li>[latex]13,748[\/latex]<\/li>\r\n\t<li>[latex]391,794[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest hundred:<\/p>\r\n<ol start=\"38\">\r\n\t<li>[latex]28,166[\/latex]<\/li>\r\n\t<li>[latex]481,628[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest ten:<\/p>\r\n<ol start=\"40\">\r\n\t<li>[latex]1,492[\/latex]<\/li>\r\n\t<li>[latex]1,497[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest thousand:<\/p>\r\n<ol start=\"42\">\r\n\t<li>[latex]2,391[\/latex]<\/li>\r\n\t<li>[latex]2,795[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest hundred:<\/p>\r\n<ol start=\"44\">\r\n\t<li>[latex]63,994[\/latex]<\/li>\r\n\t<li>[latex]63,949[\/latex]<\/li>\r\n<\/ol>\r\n<p>Round to the nearest thousand:<\/p>\r\n<ol start=\"46\">\r\n\t<li>[latex]163,584[\/latex]<\/li>\r\n\t<li>[latex]163,246[\/latex]<\/li>\r\n<\/ol>\r\n<h2>Adding Whole Numbers<\/h2>\r\n<h3>Use Addition Notation<\/h3>\r\n<p>In the following exercises, translate the following from math expressions to words.<\/p>\r\n<ol start=\"48\">\r\n\t<li>[latex]5+25[\/latex]<\/li>\r\n\t<li>[latex]6+36[\/latex]<\/li>\r\n\t<li>[latex]13+18[\/latex]<\/li>\r\n\t<li>[latex]15+16[\/latex]<\/li>\r\n\t<li>[latex]214+642[\/latex]<\/li>\r\n\t<li>[latex]438+113[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Addition of Whole Numbers<\/h3>\r\n<p>In the following exercises, model the addition.<\/p>\r\n<ol start=\"54\">\r\n\t<li>[latex]2+4[\/latex]<\/li>\r\n\t<li>[latex]5+3[\/latex]<\/li>\r\n\t<li>[latex]8+4[\/latex]<\/li>\r\n\t<li>[latex]5+9[\/latex]<\/li>\r\n\t<li>[latex]14+75[\/latex]<\/li>\r\n\t<li>[latex]15+63[\/latex]<\/li>\r\n\t<li>[latex]16+25[\/latex]<\/li>\r\n\t<li>[latex]14+27[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Add Whole Numbers<\/h3>\r\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\r\n<h4>Exercise 1<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215350\/CNX_BMath_Figure_01_02_216.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201c+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 1; null; 3; 4; 5; 6; null; 8; 9\u201d. The third column has the values \u201c1; 1; 2; 3; null; 5; 6; 7; null; 9; 10\u201d. The fourth column has the values \u201c2; 2; 3; 4; 5; null; 7; 8; 9; null; 11\u201d. The fifth column has the values \u201c3; null; 4; 5; null; null; 8; null; 10; 11; null\u201d. The sixth column has the values \u201c4; 4; null; 6;7; 8; null; 10; null; null; 13\u201d. The seventh column has the values \u201c5; 5; null; null; 8; 9; null; null; 12; null; 14\u201d. The eighth column has the values \u201c6; 6; 7; 8; null; null; 11; null; null; 14; null\u201d. The ninth column has the values \u201c7; 7; 8; null; 10; 11; null; 13; null; null; null\u201d. The tenth column has the values \u201c8; null; 9; null; null; 12; 13; null; 15; 16; 17\u201d. The eleventh column has the values \u201c9; 9; null; 11; 12; null; null; 15; 16; null; null\u201d.\" \/><\/p>\r\n<h4>Exercise 2<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215353\/CNX_BMath_Figure_01_02_218.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201c+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 1; 2; null; 4; 5; null; 7; 8; null\u201d. The third column has the values \u201c1; 1; 2; null; 4; 5; 6; null; 8; 9; null\u201d. The fourth column has the values \u201c2; 2; 3; 4; null; 6; null; 8; null; 10; 11\u201d. The fifth column has the values \u201c3; 3; null; null; 6; 7; 8; 9; 10; null; 12\u201d. The sixth column has the values \u201c4; 4; 5; 6; null; null; 9; null; null; 12; 13\u201d. The seventh column has the values \u201c5; null; 6; 7; null; null; null; null; 12; null; null\u201d. The eighth column has the values \u201c6; 6; null; null; 9; 10; 11; 12; null; 14; null\u201d. The ninth column has the values \u201c7; null; 8; 9; null; 11; 12; 13; null; null; 16\u201d. The tenth column has the values \u201c8; 8; null; 10; 11; null; 13; null; 15; 16; null\u201d. The eleventh column has the values \u201c9; 9; 10; null; null; 13; null; 15; 16; 17; null\u201d.\" \/><\/p>\r\n<h4>Exercises 3<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215355\/CNX_BMath_Figure_01_02_220.png\" alt=\"This table is 5 rows and 8 columns. The top row is a header row and includes the numbers 3 through 9, one number to each cell. The rows down include 6, 7, 8, and 9. There is a plus sign in the first cell. All cells are null.\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4>Exercise 4<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215358\/CNX_BMath_Figure_01_02_222.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201c+; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 3; 4; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 5<\/h4>\r\n<p>&nbsp;<\/p>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215359\/CNX_BMath_Figure_01_02_224.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201c+; 5; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 6<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215401\/CNX_BMath_Figure_01_02_226.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values \u201c+; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h3>Add Whole Numbers<\/h3>\r\n<p>In the following exercises, add.<\/p>\r\n<ol start=\"62\">\r\n\t<li>[latex]0+13[\/latex]<\/li>\r\n\t<li>[latex]13+0[\/latex]<\/li>\r\n\t<li>[latex]0+5,280[\/latex]<\/li>\r\n\t<li>[latex]5,280+0[\/latex]<\/li>\r\n\t<li>[latex]8+3[\/latex]<\/li>\r\n\t<li>[latex]3+8[\/latex]<\/li>\r\n\t<li>[latex]7+5[\/latex]<\/li>\r\n\t<li>[latex]5+7[\/latex]<\/li>\r\n\t<li>[latex]45+33[\/latex]<\/li>\r\n\t<li>[latex]37+22[\/latex]<\/li>\r\n\t<li>[latex]71+28[\/latex]<\/li>\r\n\t<li>[latex]43+53[\/latex]<\/li>\r\n\t<li>[latex]26+59[\/latex]<\/li>\r\n\t<li>[latex]38+17[\/latex]<\/li>\r\n\t<li>[latex]64+78[\/latex]<\/li>\r\n\t<li>[latex]92+39[\/latex]<\/li>\r\n\t<li>[latex]168+325[\/latex]<\/li>\r\n\t<li>[latex]247+149[\/latex]<\/li>\r\n\t<li>[latex]584+277[\/latex]<\/li>\r\n\t<li>[latex]175+648[\/latex]<\/li>\r\n\t<li>[latex]832+199[\/latex]<\/li>\r\n\t<li>[latex]775+369[\/latex]<\/li>\r\n\t<li>[latex]6,358+492[\/latex]<\/li>\r\n\t<li>[latex]9,184+578[\/latex]<\/li>\r\n\t<li>[latex]3,740+18,593[\/latex]<\/li>\r\n\t<li>[latex]6,118+15,990[\/latex]<\/li>\r\n\t<li>[latex]485,012+619,848[\/latex]<\/li>\r\n\t<li>[latex]368,911+857,289[\/latex]<\/li>\r\n\t<li>[latex]24,731+592+3,868[\/latex]<\/li>\r\n\t<li>[latex]28,925+817+4,593[\/latex]<\/li>\r\n\t<li>[latex]8,015+76,946+16,570[\/latex]<\/li>\r\n\t<li>[latex]6,291+54,107+28,635[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Math Notation<\/h3>\r\n<p>In the following exercises, translate each phrase into math notation and then simplify.<\/p>\r\n<ol start=\"94\">\r\n\t<li>the sum of [latex]13[\/latex] and [latex]18[\/latex]<\/li>\r\n\t<li>the sum of [latex]12[\/latex] and [latex]19[\/latex]<\/li>\r\n\t<li>the sum of [latex]90[\/latex] and [latex]65[\/latex]<\/li>\r\n\t<li>the sum of [latex]70[\/latex] and [latex]38[\/latex]<\/li>\r\n\t<li>[latex]33[\/latex] increased by [latex]49[\/latex]<\/li>\r\n\t<li>[latex]68[\/latex] increased by\u00a0[latex]25[\/latex]<\/li>\r\n<\/ol>\r\n<ol start=\"100\">\r\n\t<li>[latex]250[\/latex] more than [latex]599[\/latex]<\/li>\r\n\t<li>[latex]115[\/latex] more than\u00a0[latex]286[\/latex]<\/li>\r\n<\/ol>\r\n<ol start=\"102\">\r\n\t<li>the total of [latex]628[\/latex] and [latex]77[\/latex]<\/li>\r\n\t<li>the total of [latex]593[\/latex] and [latex]79[\/latex]<\/li>\r\n\t<li>[latex]1,482[\/latex] added to [latex]915[\/latex]<\/li>\r\n\t<li>[latex]2,719[\/latex] added to\u00a0[latex]682[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Add Whole Numbers in Applications<\/h3>\r\n<p>In the following exercises, solve the problem.<\/p>\r\n<h4>Home remodeling<\/h4>\r\n<p>Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost\u00a0[latex]$1,100[\/latex], the microwave cost\u00a0[latex]$250[\/latex], and the dishwasher cost\u00a0[latex]$525[\/latex]<\/p>\r\n<p>. What was the total cost of these three appliances?<\/p>\r\n<h4>Sports equipment<\/h4>\r\n<p>Aiden bought a baseball bat, helmet, and glove. The bat cost\u00a0[latex]$299[\/latex]<\/p>\r\n<p>, the helmet cost\u00a0[latex]$35[\/latex], and the glove cost\u00a0[latex]$68[\/latex]. What was the total cost of Aiden\u2019s sports equipment?<\/p>\r\n<h4>Bike riding<\/h4>\r\n<p>Ethan rode his bike\u00a0[latex]14[\/latex]\u00a0miles on Monday,\u00a0[latex]19[\/latex]<\/p>\r\n<p>miles on Tuesday,\u00a0[latex]12[\/latex]\u00a0miles on Wednesday,\u00a0[latex]25[\/latex]\u00a0miles on Friday, and\u00a0[latex]68[\/latex]\u00a0miles on Saturday. What was the total number of miles Ethan rode?<\/p>\r\n<h4>Business<\/h4>\r\n<p>Chloe has a flower shop. Last week she made\u00a0[latex]19[\/latex]<\/p>\r\n<p>floral arrangements on Monday,\u00a0[latex]12[\/latex] on Tuesday,\u00a0[latex]23[\/latex]\u00a0on Wednesday,\u00a0[latex]29[\/latex]\u00a0on Thursday, and [latex]44[\/latex]\u00a0on Friday. What was the total number of floral arrangements Chloe made?<\/p>\r\n<h4>Apartment size<\/h4>\r\n<p>Jackson lives in a [latex]7[\/latex] room apartment. The number of square feet in each room is\u00a0[latex]238,120,156,196,100,132,[\/latex] and\u00a0[latex]225[\/latex]. What is the total number of square feet in all\u00a0[latex]7[\/latex]\u00a0rooms?<\/p>\r\n<h4>Weight<\/h4>\r\n<p>Seven men rented a fishing boat. The weights of the men were\u00a0[latex]175,192,148,169,205,181[\/latex], and\u00a0[latex]225[\/latex]\u00a0pounds. What was the total weight of the seven men?<\/p>\r\n<h4>Salary<\/h4>\r\n<p>Last year Natalie\u2019s salary was\u00a0[latex]$82,572[\/latex]. Two years ago, her salary was\u00a0[latex]$79,316[\/latex], and three years ago it was\u00a0[latex]$75,298[\/latex]. What is the total amount of Natalie\u2019s salary for the past three years?<\/p>\r\n<h4>Home sales<\/h4>\r\n<p>Emma is a realtor. Last month, she sold three houses. The selling prices of the houses were\u00a0[latex]$292,540[\/latex], [latex]$505,875[\/latex], and\u00a0[latex]$423,699[\/latex]. What was the total of the three selling prices?<\/p>\r\n<h3>Finding Perimeter<\/h3>\r\n<p>In the following exercises, find the perimeter of each figure.<\/p>\r\n<h4>Exercise 1<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215402\/CNX_BMath_Figure_01_02_208_img.png\" alt=\"An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.\" \/><\/p>\r\n<h4>Exercise 2<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215403\/CNX_BMath_Figure_01_02_209_img.png\" alt=\"An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/><\/p>\r\n<h4>Exercise 3<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215404\/CNX_BMath_Figure_01_02_210_img.png\" alt=\"A rectangle 21 meters wide and 7 meters tall.\" \/><\/p>\r\n<h4>Exercise 4<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215406\/CNX_BMath_Figure_01_02_211_img.png\" alt=\"A rectangle 19 feet wide and and 14 feet tall.\" \/><\/p>\r\n<h4>Exercise 5<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215407\/CNX_BMath_Figure_01_02_212_img.png\" alt=\"A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4>Exercise 6<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215408\/CNX_BMath_Figure_01_02_213_img.png\" alt=\"A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.\" \/><\/p>\r\n<h4>Exercise 7<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215410\/CNX_BMath_Figure_01_02_214_img.png\" alt=\"This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4>Exercise 8<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215411\/CNX_BMath_Figure_01_02_215_img.png\" alt=\"This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.\" \/><\/p>\r\n<h2>Subtracting Whole Numbers<\/h2>\r\n<h3>Use Subtraction Notation<\/h3>\r\n<p>In the following exercises, translate from math notation to words.<\/p>\r\n<ol start=\"106\">\r\n\t<li>[latex]15\u22129[\/latex]<\/li>\r\n\t<li>[latex]18\u221216[\/latex]<\/li>\r\n<\/ol>\r\n<ol start=\"108\">\r\n\t<li>[latex]42\u221235[\/latex]<\/li>\r\n\t<li>[latex]83\u221264[\/latex]<\/li>\r\n\t<li>[latex]675\u2212350[\/latex]<\/li>\r\n\t<li>[latex]790\u2212525[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Subtraction of Whole Numbers<\/h3>\r\n<p>In the following exercises, model the subtraction.<\/p>\r\n<ol start=\"112\">\r\n\t<li>[latex]5\u22122[\/latex]<\/li>\r\n\t<li>[latex]8\u22124[\/latex]<\/li>\r\n\t<li>[latex]6\u22123[\/latex]<\/li>\r\n\t<li>[latex]7\u22125[\/latex]<\/li>\r\n\t<li>[latex]18\u22125[\/latex]<\/li>\r\n\t<li>[latex]19\u22128[\/latex]<\/li>\r\n\t<li>[latex]17\u22128[\/latex]<\/li>\r\n\t<li>[latex]17\u22129[\/latex]<\/li>\r\n\t<li>[latex]35\u221213[\/latex]<\/li>\r\n\t<li>[latex]32\u221211[\/latex]<\/li>\r\n\t<li>[latex]61\u221247[\/latex]<\/li>\r\n\t<li>[latex]55\u221236[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Subtract Whole Numbers<\/h3>\r\n<p>In the following exercises, subtract and then check by adding.<\/p>\r\n<ol start=\"124\">\r\n\t<li>[latex]9\u22124[\/latex]<\/li>\r\n\t<li>[latex]9\u22123[\/latex]<\/li>\r\n\t<li>[latex]8\u22120[\/latex]<\/li>\r\n\t<li>[latex]2\u22120[\/latex]<\/li>\r\n\t<li>[latex]38\u221216[\/latex]<\/li>\r\n\t<li>[latex]45\u221221[\/latex]<\/li>\r\n\t<li>[latex]85\u221252[\/latex]<\/li>\r\n\t<li>[latex]99\u221247[\/latex]<\/li>\r\n\t<li>[latex]493\u2212370[\/latex]<\/li>\r\n\t<li>[latex]268\u2212106[\/latex]<\/li>\r\n\t<li>[latex]5,946\u22124,625[\/latex]<\/li>\r\n\t<li>[latex]7,775\u22123,251[\/latex]<\/li>\r\n\t<li>[latex]75\u221247[\/latex]<\/li>\r\n\t<li>[latex]63\u221259[\/latex]<\/li>\r\n\t<li>[latex]461\u2212239[\/latex]<\/li>\r\n\t<li>[latex]486\u2212257[\/latex]<\/li>\r\n\t<li>[latex]525\u2212179[\/latex]<\/li>\r\n\t<li>[latex]542\u2212288[\/latex]<\/li>\r\n\t<li>[latex]6,318\u22122,799[\/latex]<\/li>\r\n\t<li>[latex]8,153\u22123,978[\/latex]<\/li>\r\n\t<li>[latex]2,150\u2212964[\/latex]<\/li>\r\n\t<li>[latex]4,245\u2212899[\/latex]<\/li>\r\n\t<li>[latex]43,650\u22128,982[\/latex]<\/li>\r\n\t<li>[latex]35,162\u22127,885[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\r\n<p>In the following exercises, translate and simplify.<\/p>\r\n<ol start=\"148\">\r\n\t<li>The difference of [latex]10[\/latex] and\u00a0[latex]3[\/latex]<\/li>\r\n\t<li>The difference of [latex]12[\/latex] and\u00a0[latex]8[\/latex]<\/li>\r\n\t<li>The difference of [latex]15[\/latex] and [latex]4[\/latex]<\/li>\r\n<\/ol>\r\n<ol start=\"151\">\r\n\t<li>The difference of [latex]18[\/latex] and [latex]7[\/latex]<\/li>\r\n\t<li>Subtract [latex]6[\/latex] from [latex]9[\/latex]<\/li>\r\n\t<li>Subtract [latex]8[\/latex] from [latex]9[\/latex]<\/li>\r\n\t<li>Subtract [latex]28[\/latex] from\u00a0[latex]75[\/latex]<\/li>\r\n\t<li>Subtract [latex]59[\/latex] from [latex]81[\/latex]<\/li>\r\n\t<li>[latex]45[\/latex] decreased by [latex]20[\/latex]<\/li>\r\n\t<li>[latex]37[\/latex] decreased by <span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]24[\/latex]<\/span><\/li>\r\n<\/ol>\r\n<ol start=\"158\">\r\n\t<li>[latex]92[\/latex] decreased by [latex]67[\/latex]<\/li>\r\n\t<li>[latex]75[\/latex] decreased by <span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]49[\/latex]<\/span><\/li>\r\n<\/ol>\r\n<ol start=\"160\">\r\n\t<li>[latex]12[\/latex] less than [latex]16[\/latex]<\/li>\r\n\t<li>[latex]15[\/latex] less than [latex]19[\/latex]<\/li>\r\n<\/ol>\r\n<ol start=\"162\">\r\n\t<li>[latex]38[\/latex] less than [latex]61[\/latex]<\/li>\r\n\t<li>[latex]47[\/latex] less than [latex]62[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice<\/h3>\r\n<p>In the following exercises, simplify.<\/p>\r\n<ol start=\"164\">\r\n\t<li>[latex]76\u221247[\/latex]<\/li>\r\n\t<li>[latex]91\u221253[\/latex]<\/li>\r\n\t<li>[latex]256\u2212184[\/latex]<\/li>\r\n\t<li>[latex]305\u2212262[\/latex]<\/li>\r\n\t<li>[latex]719+341[\/latex]<\/li>\r\n\t<li>[latex]647+528[\/latex]<\/li>\r\n\t<li>[latex]2,015\u22121,993[\/latex]<\/li>\r\n\t<li>[latex]2,020\u22121,984[\/latex]<\/li>\r\n<\/ol>\r\n<p>In the following exercises, translate and simplify.<\/p>\r\n<ol start=\"172\">\r\n\t<li>Seventy more than thirty-five<\/li>\r\n\t<li>Sixty\u00a0more than ninety-three<\/li>\r\n\t<li>[latex]13[\/latex] less than [latex]41[\/latex]<\/li>\r\n\t<li>[latex]28[\/latex] less than [latex]36[\/latex]<\/li>\r\n\t<li>The difference of [latex]100[\/latex] and [latex]76[\/latex]<\/li>\r\n\t<li>The difference of [latex]1,000[\/latex] and [latex]945[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Subtract Whole Numbers in Applications<\/h3>\r\n<p>In the following exercises, solve.<\/p>\r\n<h4>Temperature<\/h4>\r\n<p>The high temperature on June [latex]2[\/latex] in Las Vegas was [latex]80[\/latex] degrees and the low temperature was [latex]63[\/latex] degrees. What was the difference between the high and low temperatures?<\/p>\r\n<h4>Temperature<\/h4>\r\n<p>The high temperature on June [latex]1[\/latex] in Phoenix was [latex]97[\/latex] degrees and the low was [latex]73[\/latex] degrees. What was the difference between the high and low temperatures?<\/p>\r\n<h4>Class size<\/h4>\r\n<p>Olivia\u2019s third grade class has [latex]35[\/latex] children. Last year, her second grade class had [latex]22[\/latex]\u00a0children. What is the difference between the number of children in Olivia\u2019s third grade class and her second grade class?<\/p>\r\n<h4>Class size<\/h4>\r\n<p>There are\u00a0[latex]82[\/latex]\u00a0students in the school band and\u00a0[latex]46[\/latex]\u00a0in the school orchestra. What is the difference between the number of students in the band and the orchestra?<\/p>\r\n<h4>Shopping<\/h4>\r\n<p>A mountain bike is on sale for\u00a0[latex]$399[\/latex]. Its regular price is\u00a0[latex]$650[\/latex]. What is the difference between the regular price and the sale price?<\/p>\r\n<h4>Shopping<\/h4>\r\n<p>A mattress set is on sale for\u00a0[latex]$755[\/latex]. Its regular price is\u00a0[latex]$1,600[\/latex]. What is the difference between the regular price and the sale price?<\/p>\r\n<h4>Savings<\/h4>\r\n<p>John wants to buy a laptop that costs\u00a0[latex]$840[\/latex]. He has\u00a0[latex]$685[\/latex]\u00a0in his savings account. How much more does he need to save in order to buy the laptop?<\/p>\r\n<h4>Banking<\/h4>\r\n<p>Mason had\u00a0[latex]$1,125[\/latex]\u00a0in his checking account. He spent\u00a0[latex]$892[\/latex]. How much money does he have left?<\/p>\r\n<h2>Multiplying Whole Numbers<\/h2>\r\n<h3>Use Multiplication Notation<\/h3>\r\n<p>In the following exercises, translate from math notation to words.<\/p>\r\n<ol start=\"178\">\r\n\t<li>[latex]4\u00d77[\/latex]<\/li>\r\n\t<li>[latex]8\u00d76[\/latex]<\/li>\r\n\t<li>[latex]5\u22c512[\/latex]<\/li>\r\n\t<li>[latex]3\u22c59[\/latex]<\/li>\r\n\t<li>[latex](10)(25)[\/latex]<\/li>\r\n\t<li>[latex](20)(15)[\/latex]<\/li>\r\n\t<li>[latex]42(33)[\/latex]<\/li>\r\n\t<li>[latex]39(64)[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Multiplication of Whole Numbers<\/h3>\r\n<p>In the following exercises, model the multiplication.<\/p>\r\n<ol start=\"186\">\r\n\t<li>[latex]3\u00d76[\/latex]<\/li>\r\n\t<li>[latex]4\u00d75[\/latex]<\/li>\r\n\t<li>[latex]5\u00d79[\/latex]<\/li>\r\n\t<li>[latex]3\u00d79[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Multiply Whole Numbers<\/h3>\r\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\r\n<h4>Exercise 1<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215544\/CNX_BMath_Figure_01_04_205.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201cx; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 0; null; 0; 0; 0; 0; null; 0; 0\u201d. The third column has the values \u201c1; 0; 1; 2; null; 4; 5; 6; null; 8; 9\u201d. The fourth column has the values \u201c2; 0; 2; 4; 6; null; 10; 12; 14; null; 18\u201d. The fifth column has the values \u201c3; null; 3; 6; null; null; 15; null; 21; 24; null\u201d. The sixth column has the values \u201c4; 0; null; 8; 12; 16; null; 24; null; null; 36\u201d. The seventh column has the values \u201c5; 0; null; null; 15; 20; null; null; 35; null; 45\u201d. The eighth column has the values \u201c6; 0; 6; 12; null; null; 30; null; null; 48; null\u201d. The ninth column has the values \u201c7; 0; 7; null; 21; 28; null; 42; null; null; null\u201d. The tenth column has the values \u201c8; null; 8; null; null; 32; 40; null; 56; 64; 72\u201d. The eleventh column has the values \u201c9; 0; null; 18; 27; null, null; 54; 63; null; null\u201d.\" \/><\/p>\r\n<h4>Exercise 2<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215548\/CNX_BMath_Figure_01_04_207.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201cx; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 0; 0; null; 0; 0; null; 0; 0; null\u201d. The third column has the values \u201c1; 0; 1; null; 3; 4; 5; null; 7; 8; null\u201d. The fourth column has the values \u201c2; 0; 2; 4; null; 8; null; 12; null; 16; 18\u201d. The fifth column has the values \u201c3; 0; null; null; 9; 12; 15; 18; 21; null; 27\u201d. The sixth column has the values \u201c4; 0; 4; 8; null; null; 20; null; null; 32; 36\u201d. The seventh column has the values \u201c5; null; 5; 10; null; null; null; null; 35; null; null\u201d. The eighth column has the values \u201c6; 0; null; null; 18; 24; 30; 36; null; 48; null\u201d. The ninth column has the values \u201c7; null; 7; 14; null; 28; 35; 42; null; null; 63\u201d. The tenth column has the values \u201c8; 0; null; 16; 24; null; 40; null; 56; 64; null\u201d. The eleventh column has the values \u201c9; 0; 9; null; null; 36, null; 54; 63; 72; null\u201d.\" \/><\/p>\r\n<h4>Exercise 3<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215550\/CNX_BMath_Figure_01_04_209.png\" alt=\"An image of a table with 8 columns and 7 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 4<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215554\/CNX_BMath_Figure_01_04_211.png\" alt=\"PROD: An image of a table with 7 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 4; 5; 6; 7; 8; 9\u201d. \" \/><\/p>\r\n<h4>Exercise 5<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215555\/CNX_BMath_Figure_01_04_213.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first column has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 6<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215559\/CNX_BMath_Figure_01_04_215.png\" alt=\"An image of a table with 5 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 7<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215600\/CNX_BMath_Figure_01_04_217.png\" alt=\"PROD: An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h4>Exercise 8<\/h4>\r\n<p><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215602\/CNX_BMath_Figure_01_04_219.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\r\n<h3>Multiply Whole Numbers<\/h3>\r\n<p>In the following exercises, multiply.<\/p>\r\n<ol start=\"190\">\r\n\t<li>[latex]0\u22c515[\/latex]<\/li>\r\n\t<li>[latex]0\u22c541[\/latex]<\/li>\r\n\t<li>[latex](99)0[\/latex]<\/li>\r\n\t<li>[latex](77)0[\/latex]<\/li>\r\n\t<li>[latex]1\u22c543[\/latex]<\/li>\r\n\t<li>[latex]1\u22c534[\/latex]<\/li>\r\n\t<li>[latex](28)1[\/latex]<\/li>\r\n\t<li>[latex](65)1[\/latex]<\/li>\r\n\t<li>[latex]1(240,055)[\/latex]<\/li>\r\n\t<li>[latex]1(189,206)[\/latex]<\/li>\r\n\t<li>[latex]7\u22c56[\/latex]<\/li>\r\n\t<li>[latex]6\u22c57[\/latex]<\/li>\r\n\t<li>[latex]8\u00d79[\/latex]<\/li>\r\n\t<li>[latex]9\u00d78[\/latex]<\/li>\r\n\t<li>[latex](79)(5)[\/latex]<\/li>\r\n\t<li>[latex](58)(4)[\/latex]<\/li>\r\n\t<li>[latex]275\u22c56[\/latex]<\/li>\r\n\t<li>[latex]638\u22c55[\/latex]<\/li>\r\n\t<li>[latex]3,421\u00d77[\/latex]<\/li>\r\n\t<li>[latex]9,143\u00d73[\/latex]<\/li>\r\n\t<li>[latex]52(38)[\/la37(45)<\/li>\r\n\t<li>[latex]96\u22c573[\/latex]<\/li>\r\n\t<li>[latex]89\u22c556[\/latex]<\/li>\r\n\t<li>[latex]27\u00d785[\/latex]<\/li>\r\n\t<li>[latex]53\u00d798[\/latex]<\/li>\r\n\t<li>[latex]23\u22c510[\/latex]<\/li>\r\n\t<li>[latex]19\u22c510[\/latex]<\/li>\r\n\t<li>[latex](100)(36)[\/latex]<\/li>\r\n\t<li>[latex](100)(25)[\/latex]<\/li>\r\n\t<li>[latex]1,000(88)[\/latex]<\/li>\r\n\t<li>[latex]1,000(46)[\/latex]<\/li>\r\n\t<li>[latex]50\u00d71,000,000[\/latex]<\/li>\r\n\t<li>[latex]30\u00d71,000,000[\/latex]<\/li>\r\n\t<li>[latex]247\u00d7139[\/latex]<\/li>\r\n\t<li>[latex]156\u00d7328[\/latex]<\/li>\r\n\t<li>[latex]586(721)[\/latex]<\/li>\r\n\t<li>[latex]472(855)[\/latex]<\/li>\r\n\t<li>[latex]915\u22c5879[\/latex]<\/li>\r\n\t<li>[latex]968\u22c5926[\/latex]<\/li>\r\n\t<li>[latex](104)(256)[\/latex]<\/li>\r\n\t<li>[latex](103)(497)[\/latex]<\/li>\r\n\t<li>[latex]348(705)[\/latex]<\/li>\r\n\t<li>[latex]485(602)[\/latex]<\/li>\r\n\t<li>[latex]2,719\u00d7543[\/latex]<\/li>\r\n\t<li>[latex]3,581\u00d7724[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Math Notation<\/h3>\r\n<p>In the following exercises, translate and simplify.<\/p>\r\n<ol start=\"235\">\r\n\t<li>the product of [latex]18[\/latex] and [latex]33[\/latex]<\/li>\r\n\t<li>the product of [latex]15[\/latex] and [latex]22[\/latex]<\/li>\r\n\t<li>fifty-one times sixty-seven<\/li>\r\n\t<li>forty-eight times seventy-one<\/li>\r\n\t<li>twice\u00a0[latex]249[\/latex]<\/li>\r\n\t<li>twice\u00a0[latex]589[\/latex]<\/li>\r\n\t<li>ten times three hundred seventy-five<\/li>\r\n\t<li>ten times two hundred fifty-five<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice, Part I<\/h3>\r\n<p>In the following exercises, simplify.<\/p>\r\n<ol start=\"243\">\r\n\t<li>[latex]38\u00d737[\/latex]<\/li>\r\n\t<li>[latex]86\u00d729[\/latex]<\/li>\r\n\t<li>[latex]415\u2212267[\/latex]<\/li>\r\n\t<li>[latex]341\u2212285[\/latex]<\/li>\r\n\t<li>[latex]6,251+4,749[\/latex]<\/li>\r\n\t<li>[latex]3,816+8,184[\/latex]<\/li>\r\n\t<li>[latex](56)(204)[\/latex]<\/li>\r\n\t<li>[latex](77)(801)[\/latex]<\/li>\r\n\t<li>[latex]947\u22c50[\/latex]<\/li>\r\n\t<li>[latex]947+0[\/latex]<\/li>\r\n\t<li>[latex]15,382+1[\/latex]<\/li>\r\n\t<li>[latex]15,382\u22c51[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice, Part II<\/h3>\r\n<p>In the following exercises, translate and simplify.<\/p>\r\n<ol start=\"255\">\r\n\t<li>the difference of [latex]50[\/latex] and [latex]18[\/latex]<\/li>\r\n\t<li>the difference of [latex]90[\/latex] and [latex]66[\/latex]<\/li>\r\n\t<li>twice [latex]35[\/latex]<\/li>\r\n\t<li>twice [latex]140[\/latex]<\/li>\r\n\t<li>[latex]20[\/latex] more than [latex]980[\/latex]<\/li>\r\n\t<li>[latex]65[\/latex] more than [latex]325[\/latex]<\/li>\r\n\t<li>the product of [latex]12[\/latex] and [latex]875[\/latex]<\/li>\r\n\t<li>the product of [latex]15[\/latex] and [latex]905[\/latex]<\/li>\r\n\t<li>subtract [latex]74[\/latex] from [latex]89[\/latex]<\/li>\r\n\t<li>subtract [latex]45[\/latex] from [latex]99[\/latex]<\/li>\r\n\t<li>the sum of [latex]3,075[\/latex] and [latex]95[\/latex]<\/li>\r\n\t<li>the sum of [latex]6,308[\/latex] and [latex]724[\/latex]<\/li>\r\n\t<li>[latex]366[\/latex] less than [latex]814[\/latex]<\/li>\r\n\t<li>[latex]388[\/latex] less than [latex]925[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Multiply Whole Numbers in Applications<\/h3>\r\n<p>In the following exercises, solve.<\/p>\r\n<h4>Party supplies<\/h4>\r\n<p>Tim brought [latex]9[\/latex] six-packs of soda to a club party. How many cans of soda did Tim bring?<\/p>\r\n<h4>Sewing<\/h4>\r\n<p>Kanisha is making a quilt. She bought [latex]6[\/latex] cards of buttons. Each card had four buttons on it. How many buttons did Kanisha buy?<\/p>\r\n<h4>Field trip<\/h4>\r\n<p>Seven school busses let off their students in front of a museum in Washington, DC. Each school bus had [latex]44[\/latex] students. How many students were there?<\/p>\r\n<h4>Gardening<\/h4>\r\n<p>Kathryn bought [latex]8[\/latex] flats of impatiens for her flower bed. Each flat has [latex]24[\/latex] flowers. How many flowers did Kathryn buy?<\/p>\r\n<h4>Charity<\/h4>\r\n<p>Rey donated [latex]15[\/latex] twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?<\/p>\r\n<h4>School<\/h4>\r\n<p>There are [latex]28[\/latex] classrooms at Anna C. Scott elementary school. Each classroom has [latex]26[\/latex] student desks. What is the total number of student desks?<\/p>\r\n<h4>Recipe<\/h4>\r\n<p>Stephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses [latex]10[\/latex] cups of club soda, how much fruit juice should she use?<\/p>\r\n<h4>Gardening<\/h4>\r\n<p>Hiroko is putting in a vegetable garden. He wants to have twice as many lettuce plants as tomato plants. If he buys [latex]12[\/latex] tomato plants, how many lettuce plants should he get?<\/p>\r\n<h4>Government<\/h4>\r\n<p>The United States Senate has twice as many senators as there are states in the United States. There are [latex]50[\/latex] states. How many senators are there in the United States Senate?<\/p>\r\n<h4>Recipe<\/h4>\r\n<p>Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys [latex]30[\/latex] pounds of potatoes, how many servings of potato salad will there be?<\/p>\r\n<h4>Painting<\/h4>\r\n<p>Jane is painting one wall of her living room. The wall is rectangular, [latex]13[\/latex] feet wide by [latex]9[\/latex] feet high. What is the area of the wall?<\/p>\r\n<h4>Home d\u00e9cor<\/h4>\r\n<p>Shawnte bought a rug for the hall of her apartment. The rug is [latex]3[\/latex] feet wide by [latex]18[\/latex] feet long. What is the area of the rug?<\/p>\r\n<h4>Room size<\/h4>\r\n<p>The meeting room in a senior center is rectangular, with length [latex]42[\/latex] feet and width [latex]34[\/latex] feet. What is the area of the meeting room?<\/p>\r\n<h4>Gardening<\/h4>\r\n<p>June has a vegetable garden in her yard. The garden is rectangular, with length [latex]23[\/latex] feet and width [latex]28[\/latex] feet. What is the area of the garden?<\/p>\r\n<h4>NCAA basketball<\/h4>\r\n<p>According to NCAA regulations, the dimensions of a rectangular basketball court must be [latex]94[\/latex] feet by [latex]50[\/latex] feet. What is the area of the basketball court?<\/p>\r\n<h4>NCAA football<\/h4>\r\n<p>According to NCAA regulations, the dimensions of a rectangular football field must be [latex]360[\/latex] feet by [latex]160[\/latex] feet. What is the area of the football field?<\/p>\r\n<h2>Dividing Whole Numbers<\/h2>\r\n<h3>Use Division Notation<\/h3>\r\n<p>In the following exercises, translate from math notation to words.<\/p>\r\n<ol start=\"269\">\r\n\t<li>[latex]54\u00f79[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>56<\/mn><mn>7<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>32<\/mn><mn>8<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>42<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]48\u00f76[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>63<\/mn><mn>9<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>7<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>63<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]72\u00f78[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Division of Whole Numbers<\/h3>\r\n<p>In the following exercises, model the division.<\/p>\r\n<ol start=\"277\">\r\n\t<li>[latex]15\u00f75[\/latex]<\/li>\r\n\t<li>[latex]10\u00f75[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>14<\/mn><mn>7<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>18<\/mn><mn>6<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>20<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>3<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>15<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]24\u00f76[\/latex]<\/li>\r\n\t<li>[latex]16\u00f74[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Divide Whole Numbers<\/h3>\r\n<p>In the following exercises, divide. Then check by multiplying.<\/p>\r\n<ol start=\"285\">\r\n\t<li>[latex]18\u00f72[\/latex]<\/li>\r\n\t<li>[latex]14\u00f72[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>27<\/mn><mn>3<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n<\/ol>\r\n<ol start=\"288\">\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>30<\/mn><mn>3<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>28<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>36<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>45<\/mn><mn>5<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>35<\/mn><mn>5<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]72\/8[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>64<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>35<\/mn><mn>7<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]42\u00f77[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>15<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>12<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>12<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]43\u00f743[\/latex]<\/li>\r\n\t<li>[latex]37\u00f737[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>23<\/mn><mn>1<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>29<\/mn><mn>1<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]19\u00f71[\/latex]<\/li>\r\n\t<li>[latex]17\u00f71[\/latex]<\/li>\r\n\t<li>[latex]0\u00f74[\/latex]<\/li>\r\n\t<li>[latex]0\u00f78[\/latex]<\/li>\r\n\t<li>[latex]\\frac{5}{0}[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>9<\/mn><mn>0<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>26<\/mn><mn>0<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>32<\/mn><mn>0<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>12<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>0<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>16<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>0<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]72\u00f73[\/latex]<\/li>\r\n\t<li>[latex]57\u00f73[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>96<\/mn><mn>8<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>78<\/mn><mn>6<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>5<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>465<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>528<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]924\u00f77[\/latex]<\/li>\r\n\t<li>[latex]861\u00f77[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>5<\/mn><mo>,<\/mo><mn>226<\/mn><\/mrow><mn>6<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]3,7768[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>31<\/mn><mo>,<\/mo><mn>324<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\u00a0<\/li>\r\n\t<li>[latex]7,209\u00f73[\/latex]<\/li>\r\n\t<li>[latex]4,806\u00f73[\/latex]<\/li>\r\n\t<li>[latex]5,406\u00f76[\/latex]<\/li>\r\n\t<li>[latex]3,208\u00f74[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><mo>,<\/mo><mn>816<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>3<\/mn><mo>,<\/mo><mn>624<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]91,8819[\/latex]<\/li>\r\n\t<li>[latex]83,2568[\/latex]<\/li>\r\n\t<li>[latex]2,470\u00f77[\/latex]<\/li>\r\n\t<li>[latex]3,741\u00f77[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>55<\/mn><mo>,<\/mo><mn>305<\/mn><\/mrow><\/mover><\/math>\r\n \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>9<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>51<\/mn><mo>,<\/mo><mn>492<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]431,1745[\/latex]<\/li>\r\n\t<li>[latex]297,2774[\/latex]<\/li>\r\n\t<li>[latex]130,016\u00f73[\/latex]<\/li>\r\n\t<li>[latex]105,609\u00f72[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>5<\/mn><mo>,<\/mo><mn>735<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>4<\/mn><mo>,<\/mo><mn>933<\/mn><\/mrow><mn>21<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]56,883\u00f767[\/latex]<\/li>\r\n\t<li>[latex]43,725\/75[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>30<\/mn><mo>,<\/mo><mn>144<\/mn><\/mrow><mn>314<\/mn><\/mfrac><\/math>\r\n<\/li>\r\n\t<li>[latex]26,145\u00f7415[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>273<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>542<\/mn><mo>,<\/mo><mn>195<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]816,243\u00f7462[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice<\/h3>\r\n<p>In the following exercises, simplify.<\/p>\r\n<ol start=\"349\">\r\n\t<li>[latex]15(204)[\/latex]<\/li>\r\n\t<li>[latex]74\u22c5391[\/latex]<\/li>\r\n\t<li>[latex]256\u2212184[\/latex]<\/li>\r\n\t<li>[latex]305\u2212262[\/latex]<\/li>\r\n\t<li>[latex]719+341[\/latex]<\/li>\r\n\t<li>[latex]647+528[\/latex]<\/li>\r\n\t<li>\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>25<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>875<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\r\n<\/li>\r\n\t<li>[latex]1104\u00f723[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\r\n<p>In the following exercises, translate and simplify.<\/p>\r\n<ol start=\"357\">\r\n\t<li>the quotient of [latex]45[\/latex] and [latex]15[\/latex]<\/li>\r\n\t<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex]<\/li>\r\n\t<li>the quotient of [latex]288[\/latex] and [latex]24[\/latex]<\/li>\r\n\t<li>the quotient of [latex]256[\/latex] and [latex]32[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Divide Whole Numbers in Applications<\/h3>\r\n<p>In the following exercises, solve.<\/p>\r\n<h4>Trail mix<\/h4>\r\n<p>Ric bought\u00a0[latex]6[\/latex]4\u00a0ounces of trail mix. He wants to divide it into small bags, with\u00a0[latex]2[\/latex]\u00a0ounces of trail mix in each bag. How many bags can Ric fill?<\/p>\r\n<h4>Crackers<\/h4>\r\n<p>Evie bought a\u00a0[latex]42[\/latex]\u00a0ounce box of crackers. She wants to divide it into bags with\u00a0[latex]3[\/latex]\u00a0ounces of crackers in each bag. How many bags can Evie fill?<\/p>\r\n<h4>Astronomy class<\/h4>\r\n<p>There are\u00a0[latex]125[\/latex]\u00a0students in an astronomy class. The professor assigns them into groups of\u00a0[latex]5[\/latex]. How many groups of students are there?<\/p>\r\n<h4>Flower shop<\/h4>\r\n<p>Melissa\u2019s flower shop got a shipment of\u00a0[latex]152[\/latex]\u00a0roses. She wants to make bouquets of\u00a0[latex]8[\/latex]\u00a0roses each. How many bouquets can Melissa make?<\/p>\r\n<h4>Baking<\/h4>\r\n<p>One roll of plastic wrap is\u00a0[latex]48[\/latex]\u00a0feet long. Marta uses\u00a0[latex]3[\/latex]\u00a0feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?<\/p>\r\n<h4>Dental floss<\/h4>\r\n<p>One package of dental floss is\u00a0[latex]54[\/latex]\u00a0feet long. Brian uses\u00a0[latex]2[\/latex]\u00a0feet of dental floss every day. How many days will one package of dental floss last Brian?<\/p>\r\n<h2>Mixed Practice (Applications)<\/h2>\r\n<p>In the following exercises, solve.<\/p>\r\n<h3>Miles per gallon<\/h3>\r\n<p>Susana\u2019s hybrid car gets\u00a0[latex]45[\/latex]\u00a0miles per gallon. Her son\u2019s truck gets\u00a0[latex]17[\/latex]\u00a0miles per gallon. What is the difference in miles per gallon between Susana\u2019s car and her son\u2019s truck?<\/p>\r\n<h3>Distance<\/h3>\r\n<p>Mayra lives\u00a0[latex]53[\/latex]\u00a0miles from her mother\u2019s house and\u00a0[latex]71[\/latex]\u00a0miles from her mother-in-law\u2019s house. How much farther is Mayra from her mother-in-law\u2019s house than from her mother\u2019s house?<\/p>\r\n<h3>Field trip<\/h3>\r\n<p>The\u00a045\u00a0students in a Geology class will go on a field trip, using the college\u2019s vans. Each van can hold\u00a09\u00a0students. How many vans will they need for the field trip?<\/p>\r\n<p>Potting soil<\/p>\r\n<p>Aki bought a\u00a0[latex]128[\/latex]\u00a0ounce bag of potting soil. How many\u00a0[latex]4[\/latex]\u00a0ounce pots can he fill from the bag?<\/p>\r\n<h3>Hiking<\/h3>\r\n<p>Bill hiked\u00a0[latex]8[\/latex]\u00a0miles on the first day of his backpacking trip,\u00a0[latex]14[\/latex]\u00a0miles the second day,\u00a0[latex]11[\/latex]\u00a0miles the third day, and\u00a0[latex]17[\/latex]\u00a0miles the fourth day. What is the total number of miles Bill hiked?<\/p>\r\n<h3>Reading<\/h3>\r\n<p>Last night Emily read\u00a0[latex]6[\/latex] pages in her Business textbook,\u00a0[latex]26[\/latex]\u00a0pages in her History text,\u00a0[latex]15[\/latex]\u00a0pages in her Psychology text, and\u00a0[latex]9[\/latex]\u00a0pages in her math text. What is the total number of pages Emily read?<\/p>\r\n<h3>Patients<\/h3>\r\n<p>LaVonne treats\u00a0[latex]12[\/latex]\u00a0patients each day in her dental office. Last week she worked\u00a0[latex]4[\/latex]\u00a0days. How many patients did she treat last week?<\/p>\r\n<h3>Scouts<\/h3>\r\n<p>There are\u00a0[latex]14[\/latex]\u00a0boys in Dave\u2019s scout troop. At summer camp, each boy earned\u00a0[latex]5[\/latex]\u00a0merit badges. What was the total number of merit badges earned by Dave\u2019s scout troop at summer camp?<\/p>","rendered":"<h2>Identify Counting Numbers and Whole Numbers<\/h2>\n<p>In the following exercises, determine which of the following numbers are a) counting numbers and b) whole numbers.<\/p>\n<ol>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>,<\/mo><mfrac><mn>2<\/mn><mn>3<\/mn><\/mfrac><mo>,<\/mo><mn>5<\/mn><mo>,<\/mo><mn>8.1<\/mn><mo>,<\/mo><mn>125<\/mn><\/math><\/p>\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn><\/mn><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>,<\/mo><mfrac><mn>4<\/mn><mn>9<\/mn><\/mfrac><mo>,<\/mo><mn>3.9<\/mn><mo>,<\/mo><mn>50<\/mn><mo>,<\/mo><mn>221<\/mn><\/math><\/p>\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>\n<\/mn><\/math>\n<\/li>\n<\/ol>\n<h2>Model Whole Numbers<\/h2>\n<p>In the following exercises, use place value notation to find the value of the number modeled by the base -10 blocks.<\/p>\n<ol style=\"list-style-type: decimal;\" start=\"3\">\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215303\/CNX_BMath_Figure_01_01_201_img.png\" alt=\"An image consisting of three items. The first item is five squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is six horizontal rods containing 10 blocks each. The third item is 1 individual block.\" \/>\n<p>&nbsp;<\/p>\n<\/li>\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215307\/CNX_BMath_Figure_01_01_203_img.png\" alt=\"An image consisting of two items. The first item is four squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 7 individual blocks.\" \/><\/li>\n<\/ol>\n<h2>Identify the Place Value of a Digit<\/h2>\n<p>In the following exercises, find the place value of the given digits.<\/p>\n<ol start=\"5\">\n<li>[latex]579,601[\/latex]\n<ul>\n<li>[latex]9[\/latex]<\/li>\n<li>[latex]6[\/latex]<\/li>\n<li>[latex]0[\/latex]<\/li>\n<li>[latex]7[\/latex]<\/li>\n<li>[latex]5[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li>[latex]56,804,379[\/latex]\n<ul>\n<li>[latex]8[\/latex]<\/li>\n<li>[latex]6[\/latex]<\/li>\n<li>[latex]4[\/latex]<\/li>\n<li>[latex]7[\/latex]<\/li>\n<li>[latex]0[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h2>Use Place Value to Name Whole Numbers<\/h2>\n<p>In the following exercises, name each number in words.<\/p>\n<ol start=\"7\">\n<li>[latex]1,078[\/latex]<\/li>\n<li>[latex]364,510[\/latex]<\/li>\n<li>[latex]5,846,103[\/latex]<\/li>\n<li>[latex]37,889,005[\/latex]<\/li>\n<li>The height of Mount Rainier is [latex]14,410[\/latex] feet.<\/li>\n<li>Seventy years is\u00a0[latex]613,200[\/latex] hours.<\/li>\n<li>One year is\u00a0[latex]525,600[\/latex] minutes.<\/li>\n<li>The U.S. Census estimate of the population of Miami-Dade county was\u00a0[latex]2,617,176[\/latex].<\/li>\n<li>The population of Chicago was\u00a0[latex]2,718,782[\/latex].<\/li>\n<li>There are projected to be\u00a0[latex]23,867,000[\/latex] college and university students in the US in five years.<\/li>\n<li>About twelve years ago there were\u00a0[latex]20,665,415[\/latex] registered automobiles in California.<\/li>\n<li>The population of China is expected to reach\u00a0[latex]1,377,583,156[\/latex] in\u00a0[latex]2016[\/latex].<\/li>\n<li>The population of India is estimated at\u00a0[latex]1,267,401,849[\/latex] as of July\u00a0[latex]1, 2014[\/latex].<\/li>\n<\/ol>\n<p><strong>Use Place Value to Write Whole Numbers<\/strong><\/p>\n<p>In the following exercises, write each number as a whole number using digits.<\/p>\n<ol start=\"20\">\n<li>four hundred twelve<\/li>\n<li>two hundred fifty-three<\/li>\n<li>thirty-five thousand, nine hundred seventy-five<\/li>\n<li>sixty-one thousand, four hundred fifteen<\/li>\n<li>eleven million, forty-four thousand, one hundred sixty-seven<\/li>\n<li>eighteen million, one hundred two thousand, seven hundred eighty-three<\/li>\n<li>three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen<\/li>\n<li>eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six<\/li>\n<li>The population of the world was estimated to be seven billion, one hundred seventy-three million people.<\/li>\n<li>The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.<\/li>\n<li>Lake Tahoe has a capacity of thirty-nine trillion gallons of water.<\/li>\n<li>The federal government budget was three trillion, five hundred billion dollars.<\/li>\n<\/ol>\n<h2>Round Whole Numbers<\/h2>\n<p>In the following exercises, round to the indicated place value.<\/p>\n<p>Round to the nearest ten:<\/p>\n<ol start=\"32\">\n<li>[latex]386[\/latex]<\/li>\n<li>[latex]2,931[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest ten:<\/p>\n<ol start=\"34\">\n<li>[latex]792[\/latex]<\/li>\n<li>[latex]5,647[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol start=\"36\">\n<li>[latex]13,748[\/latex]<\/li>\n<li>[latex]391,794[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol start=\"38\">\n<li>[latex]28,166[\/latex]<\/li>\n<li>[latex]481,628[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest ten:<\/p>\n<ol start=\"40\">\n<li>[latex]1,492[\/latex]<\/li>\n<li>[latex]1,497[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest thousand:<\/p>\n<ol start=\"42\">\n<li>[latex]2,391[\/latex]<\/li>\n<li>[latex]2,795[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol start=\"44\">\n<li>[latex]63,994[\/latex]<\/li>\n<li>[latex]63,949[\/latex]<\/li>\n<\/ol>\n<p>Round to the nearest thousand:<\/p>\n<ol start=\"46\">\n<li>[latex]163,584[\/latex]<\/li>\n<li>[latex]163,246[\/latex]<\/li>\n<\/ol>\n<h2>Adding Whole Numbers<\/h2>\n<h3>Use Addition Notation<\/h3>\n<p>In the following exercises, translate the following from math expressions to words.<\/p>\n<ol start=\"48\">\n<li>[latex]5+25[\/latex]<\/li>\n<li>[latex]6+36[\/latex]<\/li>\n<li>[latex]13+18[\/latex]<\/li>\n<li>[latex]15+16[\/latex]<\/li>\n<li>[latex]214+642[\/latex]<\/li>\n<li>[latex]438+113[\/latex]<\/li>\n<\/ol>\n<h3>Model Addition of Whole Numbers<\/h3>\n<p>In the following exercises, model the addition.<\/p>\n<ol start=\"54\">\n<li>[latex]2+4[\/latex]<\/li>\n<li>[latex]5+3[\/latex]<\/li>\n<li>[latex]8+4[\/latex]<\/li>\n<li>[latex]5+9[\/latex]<\/li>\n<li>[latex]14+75[\/latex]<\/li>\n<li>[latex]15+63[\/latex]<\/li>\n<li>[latex]16+25[\/latex]<\/li>\n<li>[latex]14+27[\/latex]<\/li>\n<\/ol>\n<h3>Add Whole Numbers<\/h3>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215350\/CNX_BMath_Figure_01_02_216.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201c+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 1; null; 3; 4; 5; 6; null; 8; 9\u201d. The third column has the values \u201c1; 1; 2; 3; null; 5; 6; 7; null; 9; 10\u201d. The fourth column has the values \u201c2; 2; 3; 4; 5; null; 7; 8; 9; null; 11\u201d. The fifth column has the values \u201c3; null; 4; 5; null; null; 8; null; 10; 11; null\u201d. The sixth column has the values \u201c4; 4; null; 6;7; 8; null; 10; null; null; 13\u201d. The seventh column has the values \u201c5; 5; null; null; 8; 9; null; null; 12; null; 14\u201d. The eighth column has the values \u201c6; 6; 7; 8; null; null; 11; null; null; 14; null\u201d. The ninth column has the values \u201c7; 7; 8; null; 10; 11; null; 13; null; null; null\u201d. The tenth column has the values \u201c8; null; 9; null; null; 12; 13; null; 15; 16; 17\u201d. The eleventh column has the values \u201c9; 9; null; 11; 12; null; null; 15; 16; null; null\u201d.\" \/><\/p>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215353\/CNX_BMath_Figure_01_02_218.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201c+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 1; 2; null; 4; 5; null; 7; 8; null\u201d. The third column has the values \u201c1; 1; 2; null; 4; 5; 6; null; 8; 9; null\u201d. The fourth column has the values \u201c2; 2; 3; 4; null; 6; null; 8; null; 10; 11\u201d. The fifth column has the values \u201c3; 3; null; null; 6; 7; 8; 9; 10; null; 12\u201d. The sixth column has the values \u201c4; 4; 5; 6; null; null; 9; null; null; 12; 13\u201d. The seventh column has the values \u201c5; null; 6; 7; null; null; null; null; 12; null; null\u201d. The eighth column has the values \u201c6; 6; null; null; 9; 10; 11; 12; null; 14; null\u201d. The ninth column has the values \u201c7; null; 8; 9; null; 11; 12; 13; null; null; 16\u201d. The tenth column has the values \u201c8; 8; null; 10; 11; null; 13; null; 15; 16; null\u201d. The eleventh column has the values \u201c9; 9; 10; null; null; 13; null; 15; 16; 17; null\u201d.\" \/><\/p>\n<h4>Exercises 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215355\/CNX_BMath_Figure_01_02_220.png\" alt=\"This table is 5 rows and 8 columns. The top row is a header row and includes the numbers 3 through 9, one number to each cell. The rows down include 6, 7, 8, and 9. There is a plus sign in the first cell. All cells are null.\" \/><\/p>\n<p>&nbsp;<\/p>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215358\/CNX_BMath_Figure_01_02_222.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201c+; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 3; 4; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215359\/CNX_BMath_Figure_01_02_224.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201c+; 5; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215401\/CNX_BMath_Figure_01_02_226.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values \u201c+; 6; 7; 8; 9\u201d. The first column has the values \u201c+; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h3>Add Whole Numbers<\/h3>\n<p>In the following exercises, add.<\/p>\n<ol start=\"62\">\n<li>[latex]0+13[\/latex]<\/li>\n<li>[latex]13+0[\/latex]<\/li>\n<li>[latex]0+5,280[\/latex]<\/li>\n<li>[latex]5,280+0[\/latex]<\/li>\n<li>[latex]8+3[\/latex]<\/li>\n<li>[latex]3+8[\/latex]<\/li>\n<li>[latex]7+5[\/latex]<\/li>\n<li>[latex]5+7[\/latex]<\/li>\n<li>[latex]45+33[\/latex]<\/li>\n<li>[latex]37+22[\/latex]<\/li>\n<li>[latex]71+28[\/latex]<\/li>\n<li>[latex]43+53[\/latex]<\/li>\n<li>[latex]26+59[\/latex]<\/li>\n<li>[latex]38+17[\/latex]<\/li>\n<li>[latex]64+78[\/latex]<\/li>\n<li>[latex]92+39[\/latex]<\/li>\n<li>[latex]168+325[\/latex]<\/li>\n<li>[latex]247+149[\/latex]<\/li>\n<li>[latex]584+277[\/latex]<\/li>\n<li>[latex]175+648[\/latex]<\/li>\n<li>[latex]832+199[\/latex]<\/li>\n<li>[latex]775+369[\/latex]<\/li>\n<li>[latex]6,358+492[\/latex]<\/li>\n<li>[latex]9,184+578[\/latex]<\/li>\n<li>[latex]3,740+18,593[\/latex]<\/li>\n<li>[latex]6,118+15,990[\/latex]<\/li>\n<li>[latex]485,012+619,848[\/latex]<\/li>\n<li>[latex]368,911+857,289[\/latex]<\/li>\n<li>[latex]24,731+592+3,868[\/latex]<\/li>\n<li>[latex]28,925+817+4,593[\/latex]<\/li>\n<li>[latex]8,015+76,946+16,570[\/latex]<\/li>\n<li>[latex]6,291+54,107+28,635[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Math Notation<\/h3>\n<p>In the following exercises, translate each phrase into math notation and then simplify.<\/p>\n<ol start=\"94\">\n<li>the sum of [latex]13[\/latex] and [latex]18[\/latex]<\/li>\n<li>the sum of [latex]12[\/latex] and [latex]19[\/latex]<\/li>\n<li>the sum of [latex]90[\/latex] and [latex]65[\/latex]<\/li>\n<li>the sum of [latex]70[\/latex] and [latex]38[\/latex]<\/li>\n<li>[latex]33[\/latex] increased by [latex]49[\/latex]<\/li>\n<li>[latex]68[\/latex] increased by\u00a0[latex]25[\/latex]<\/li>\n<\/ol>\n<ol start=\"100\">\n<li>[latex]250[\/latex] more than [latex]599[\/latex]<\/li>\n<li>[latex]115[\/latex] more than\u00a0[latex]286[\/latex]<\/li>\n<\/ol>\n<ol start=\"102\">\n<li>the total of [latex]628[\/latex] and [latex]77[\/latex]<\/li>\n<li>the total of [latex]593[\/latex] and [latex]79[\/latex]<\/li>\n<li>[latex]1,482[\/latex] added to [latex]915[\/latex]<\/li>\n<li>[latex]2,719[\/latex] added to\u00a0[latex]682[\/latex]<\/li>\n<\/ol>\n<h3>Add Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve the problem.<\/p>\n<h4>Home remodeling<\/h4>\n<p>Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost\u00a0[latex]$1,100[\/latex], the microwave cost\u00a0[latex]$250[\/latex], and the dishwasher cost\u00a0[latex]$525[\/latex]<\/p>\n<p>. What was the total cost of these three appliances?<\/p>\n<h4>Sports equipment<\/h4>\n<p>Aiden bought a baseball bat, helmet, and glove. The bat cost\u00a0[latex]$299[\/latex]<\/p>\n<p>, the helmet cost\u00a0[latex]$35[\/latex], and the glove cost\u00a0[latex]$68[\/latex]. What was the total cost of Aiden\u2019s sports equipment?<\/p>\n<h4>Bike riding<\/h4>\n<p>Ethan rode his bike\u00a0[latex]14[\/latex]\u00a0miles on Monday,\u00a0[latex]19[\/latex]<\/p>\n<p>miles on Tuesday,\u00a0[latex]12[\/latex]\u00a0miles on Wednesday,\u00a0[latex]25[\/latex]\u00a0miles on Friday, and\u00a0[latex]68[\/latex]\u00a0miles on Saturday. What was the total number of miles Ethan rode?<\/p>\n<h4>Business<\/h4>\n<p>Chloe has a flower shop. Last week she made\u00a0[latex]19[\/latex]<\/p>\n<p>floral arrangements on Monday,\u00a0[latex]12[\/latex] on Tuesday,\u00a0[latex]23[\/latex]\u00a0on Wednesday,\u00a0[latex]29[\/latex]\u00a0on Thursday, and [latex]44[\/latex]\u00a0on Friday. What was the total number of floral arrangements Chloe made?<\/p>\n<h4>Apartment size<\/h4>\n<p>Jackson lives in a [latex]7[\/latex] room apartment. The number of square feet in each room is\u00a0[latex]238,120,156,196,100,132,[\/latex] and\u00a0[latex]225[\/latex]. What is the total number of square feet in all\u00a0[latex]7[\/latex]\u00a0rooms?<\/p>\n<h4>Weight<\/h4>\n<p>Seven men rented a fishing boat. The weights of the men were\u00a0[latex]175,192,148,169,205,181[\/latex], and\u00a0[latex]225[\/latex]\u00a0pounds. What was the total weight of the seven men?<\/p>\n<h4>Salary<\/h4>\n<p>Last year Natalie\u2019s salary was\u00a0[latex]$82,572[\/latex]. Two years ago, her salary was\u00a0[latex]$79,316[\/latex], and three years ago it was\u00a0[latex]$75,298[\/latex]. What is the total amount of Natalie\u2019s salary for the past three years?<\/p>\n<h4>Home sales<\/h4>\n<p>Emma is a realtor. Last month, she sold three houses. The selling prices of the houses were\u00a0[latex]$292,540[\/latex], [latex]$505,875[\/latex], and\u00a0[latex]$423,699[\/latex]. What was the total of the three selling prices?<\/p>\n<h3>Finding Perimeter<\/h3>\n<p>In the following exercises, find the perimeter of each figure.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215402\/CNX_BMath_Figure_01_02_208_img.png\" alt=\"An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.\" \/><\/p>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215403\/CNX_BMath_Figure_01_02_209_img.png\" alt=\"An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/><\/p>\n<h4>Exercise 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215404\/CNX_BMath_Figure_01_02_210_img.png\" alt=\"A rectangle 21 meters wide and 7 meters tall.\" \/><\/p>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215406\/CNX_BMath_Figure_01_02_211_img.png\" alt=\"A rectangle 19 feet wide and and 14 feet tall.\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215407\/CNX_BMath_Figure_01_02_212_img.png\" alt=\"A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.\" \/><\/p>\n<p>&nbsp;<\/p>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215408\/CNX_BMath_Figure_01_02_213_img.png\" alt=\"A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.\" \/><\/p>\n<h4>Exercise 7<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215410\/CNX_BMath_Figure_01_02_214_img.png\" alt=\"This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.\" \/><\/p>\n<p>&nbsp;<\/p>\n<h4>Exercise 8<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215411\/CNX_BMath_Figure_01_02_215_img.png\" alt=\"This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.\" \/><\/p>\n<h2>Subtracting Whole Numbers<\/h2>\n<h3>Use Subtraction Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol start=\"106\">\n<li>[latex]15\u22129[\/latex]<\/li>\n<li>[latex]18\u221216[\/latex]<\/li>\n<\/ol>\n<ol start=\"108\">\n<li>[latex]42\u221235[\/latex]<\/li>\n<li>[latex]83\u221264[\/latex]<\/li>\n<li>[latex]675\u2212350[\/latex]<\/li>\n<li>[latex]790\u2212525[\/latex]<\/li>\n<\/ol>\n<h3>Model Subtraction of Whole Numbers<\/h3>\n<p>In the following exercises, model the subtraction.<\/p>\n<ol start=\"112\">\n<li>[latex]5\u22122[\/latex]<\/li>\n<li>[latex]8\u22124[\/latex]<\/li>\n<li>[latex]6\u22123[\/latex]<\/li>\n<li>[latex]7\u22125[\/latex]<\/li>\n<li>[latex]18\u22125[\/latex]<\/li>\n<li>[latex]19\u22128[\/latex]<\/li>\n<li>[latex]17\u22128[\/latex]<\/li>\n<li>[latex]17\u22129[\/latex]<\/li>\n<li>[latex]35\u221213[\/latex]<\/li>\n<li>[latex]32\u221211[\/latex]<\/li>\n<li>[latex]61\u221247[\/latex]<\/li>\n<li>[latex]55\u221236[\/latex]<\/li>\n<\/ol>\n<h3>Subtract Whole Numbers<\/h3>\n<p>In the following exercises, subtract and then check by adding.<\/p>\n<ol start=\"124\">\n<li>[latex]9\u22124[\/latex]<\/li>\n<li>[latex]9\u22123[\/latex]<\/li>\n<li>[latex]8\u22120[\/latex]<\/li>\n<li>[latex]2\u22120[\/latex]<\/li>\n<li>[latex]38\u221216[\/latex]<\/li>\n<li>[latex]45\u221221[\/latex]<\/li>\n<li>[latex]85\u221252[\/latex]<\/li>\n<li>[latex]99\u221247[\/latex]<\/li>\n<li>[latex]493\u2212370[\/latex]<\/li>\n<li>[latex]268\u2212106[\/latex]<\/li>\n<li>[latex]5,946\u22124,625[\/latex]<\/li>\n<li>[latex]7,775\u22123,251[\/latex]<\/li>\n<li>[latex]75\u221247[\/latex]<\/li>\n<li>[latex]63\u221259[\/latex]<\/li>\n<li>[latex]461\u2212239[\/latex]<\/li>\n<li>[latex]486\u2212257[\/latex]<\/li>\n<li>[latex]525\u2212179[\/latex]<\/li>\n<li>[latex]542\u2212288[\/latex]<\/li>\n<li>[latex]6,318\u22122,799[\/latex]<\/li>\n<li>[latex]8,153\u22123,978[\/latex]<\/li>\n<li>[latex]2,150\u2212964[\/latex]<\/li>\n<li>[latex]4,245\u2212899[\/latex]<\/li>\n<li>[latex]43,650\u22128,982[\/latex]<\/li>\n<li>[latex]35,162\u22127,885[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol start=\"148\">\n<li>The difference of [latex]10[\/latex] and\u00a0[latex]3[\/latex]<\/li>\n<li>The difference of [latex]12[\/latex] and\u00a0[latex]8[\/latex]<\/li>\n<li>The difference of [latex]15[\/latex] and [latex]4[\/latex]<\/li>\n<\/ol>\n<ol start=\"151\">\n<li>The difference of [latex]18[\/latex] and [latex]7[\/latex]<\/li>\n<li>Subtract [latex]6[\/latex] from [latex]9[\/latex]<\/li>\n<li>Subtract [latex]8[\/latex] from [latex]9[\/latex]<\/li>\n<li>Subtract [latex]28[\/latex] from\u00a0[latex]75[\/latex]<\/li>\n<li>Subtract [latex]59[\/latex] from [latex]81[\/latex]<\/li>\n<li>[latex]45[\/latex] decreased by [latex]20[\/latex]<\/li>\n<li>[latex]37[\/latex] decreased by <span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]24[\/latex]<\/span><\/li>\n<\/ol>\n<ol start=\"158\">\n<li>[latex]92[\/latex] decreased by [latex]67[\/latex]<\/li>\n<li>[latex]75[\/latex] decreased by <span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]49[\/latex]<\/span><\/li>\n<\/ol>\n<ol start=\"160\">\n<li>[latex]12[\/latex] less than [latex]16[\/latex]<\/li>\n<li>[latex]15[\/latex] less than [latex]19[\/latex]<\/li>\n<\/ol>\n<ol start=\"162\">\n<li>[latex]38[\/latex] less than [latex]61[\/latex]<\/li>\n<li>[latex]47[\/latex] less than [latex]62[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"164\">\n<li>[latex]76\u221247[\/latex]<\/li>\n<li>[latex]91\u221253[\/latex]<\/li>\n<li>[latex]256\u2212184[\/latex]<\/li>\n<li>[latex]305\u2212262[\/latex]<\/li>\n<li>[latex]719+341[\/latex]<\/li>\n<li>[latex]647+528[\/latex]<\/li>\n<li>[latex]2,015\u22121,993[\/latex]<\/li>\n<li>[latex]2,020\u22121,984[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol start=\"172\">\n<li>Seventy more than thirty-five<\/li>\n<li>Sixty\u00a0more than ninety-three<\/li>\n<li>[latex]13[\/latex] less than [latex]41[\/latex]<\/li>\n<li>[latex]28[\/latex] less than [latex]36[\/latex]<\/li>\n<li>The difference of [latex]100[\/latex] and [latex]76[\/latex]<\/li>\n<li>The difference of [latex]1,000[\/latex] and [latex]945[\/latex]<\/li>\n<\/ol>\n<h3>Subtract Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Temperature<\/h4>\n<p>The high temperature on June [latex]2[\/latex] in Las Vegas was [latex]80[\/latex] degrees and the low temperature was [latex]63[\/latex] degrees. What was the difference between the high and low temperatures?<\/p>\n<h4>Temperature<\/h4>\n<p>The high temperature on June [latex]1[\/latex] in Phoenix was [latex]97[\/latex] degrees and the low was [latex]73[\/latex] degrees. What was the difference between the high and low temperatures?<\/p>\n<h4>Class size<\/h4>\n<p>Olivia\u2019s third grade class has [latex]35[\/latex] children. Last year, her second grade class had [latex]22[\/latex]\u00a0children. What is the difference between the number of children in Olivia\u2019s third grade class and her second grade class?<\/p>\n<h4>Class size<\/h4>\n<p>There are\u00a0[latex]82[\/latex]\u00a0students in the school band and\u00a0[latex]46[\/latex]\u00a0in the school orchestra. What is the difference between the number of students in the band and the orchestra?<\/p>\n<h4>Shopping<\/h4>\n<p>A mountain bike is on sale for\u00a0[latex]$399[\/latex]. Its regular price is\u00a0[latex]$650[\/latex]. What is the difference between the regular price and the sale price?<\/p>\n<h4>Shopping<\/h4>\n<p>A mattress set is on sale for\u00a0[latex]$755[\/latex]. Its regular price is\u00a0[latex]$1,600[\/latex]. What is the difference between the regular price and the sale price?<\/p>\n<h4>Savings<\/h4>\n<p>John wants to buy a laptop that costs\u00a0[latex]$840[\/latex]. He has\u00a0[latex]$685[\/latex]\u00a0in his savings account. How much more does he need to save in order to buy the laptop?<\/p>\n<h4>Banking<\/h4>\n<p>Mason had\u00a0[latex]$1,125[\/latex]\u00a0in his checking account. He spent\u00a0[latex]$892[\/latex]. How much money does he have left?<\/p>\n<h2>Multiplying Whole Numbers<\/h2>\n<h3>Use Multiplication Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol start=\"178\">\n<li>[latex]4\u00d77[\/latex]<\/li>\n<li>[latex]8\u00d76[\/latex]<\/li>\n<li>[latex]5\u22c512[\/latex]<\/li>\n<li>[latex]3\u22c59[\/latex]<\/li>\n<li>[latex](10)(25)[\/latex]<\/li>\n<li>[latex](20)(15)[\/latex]<\/li>\n<li>[latex]42(33)[\/latex]<\/li>\n<li>[latex]39(64)[\/latex]<\/li>\n<\/ol>\n<h3>Model Multiplication of Whole Numbers<\/h3>\n<p>In the following exercises, model the multiplication.<\/p>\n<ol start=\"186\">\n<li>[latex]3\u00d76[\/latex]<\/li>\n<li>[latex]4\u00d75[\/latex]<\/li>\n<li>[latex]5\u00d79[\/latex]<\/li>\n<li>[latex]3\u00d79[\/latex]<\/li>\n<\/ol>\n<h3>Multiply Whole Numbers<\/h3>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215544\/CNX_BMath_Figure_01_04_205.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201cx; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 0; null; 0; 0; 0; 0; null; 0; 0\u201d. The third column has the values \u201c1; 0; 1; 2; null; 4; 5; 6; null; 8; 9\u201d. The fourth column has the values \u201c2; 0; 2; 4; 6; null; 10; 12; 14; null; 18\u201d. The fifth column has the values \u201c3; null; 3; 6; null; null; 15; null; 21; 24; null\u201d. The sixth column has the values \u201c4; 0; null; 8; 12; 16; null; 24; null; null; 36\u201d. The seventh column has the values \u201c5; 0; null; null; 15; 20; null; null; 35; null; 45\u201d. The eighth column has the values \u201c6; 0; 6; 12; null; null; 30; null; null; 48; null\u201d. The ninth column has the values \u201c7; 0; 7; null; 21; 28; null; 42; null; null; null\u201d. The tenth column has the values \u201c8; null; 8; null; null; 32; 40; null; 56; 64; 72\u201d. The eleventh column has the values \u201c9; 0; null; 18; 27; null, null; 54; 63; null; null\u201d.\" \/><\/p>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215548\/CNX_BMath_Figure_01_04_207.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \u201cx; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9\u201d. The second column has the values \u201c0; 0; 0; 0; null; 0; 0; null; 0; 0; null\u201d. The third column has the values \u201c1; 0; 1; null; 3; 4; 5; null; 7; 8; null\u201d. The fourth column has the values \u201c2; 0; 2; 4; null; 8; null; 12; null; 16; 18\u201d. The fifth column has the values \u201c3; 0; null; null; 9; 12; 15; 18; 21; null; 27\u201d. The sixth column has the values \u201c4; 0; 4; 8; null; null; 20; null; null; 32; 36\u201d. The seventh column has the values \u201c5; null; 5; 10; null; null; null; null; 35; null; null\u201d. The eighth column has the values \u201c6; 0; null; null; 18; 24; 30; 36; null; 48; null\u201d. The ninth column has the values \u201c7; null; 7; 14; null; 28; 35; 42; null; null; 63\u201d. The tenth column has the values \u201c8; 0; null; 16; 24; null; 40; null; 56; 64; null\u201d. The eleventh column has the values \u201c9; 0; 9; null; null; 36, null; 54; 63; 72; null\u201d.\" \/><\/p>\n<h4>Exercise 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215550\/CNX_BMath_Figure_01_04_209.png\" alt=\"An image of a table with 8 columns and 7 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215554\/CNX_BMath_Figure_01_04_211.png\" alt=\"PROD: An image of a table with 7 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 4; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215555\/CNX_BMath_Figure_01_04_213.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first column has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215559\/CNX_BMath_Figure_01_04_215.png\" alt=\"An image of a table with 5 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 3; 4; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 7<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215600\/CNX_BMath_Figure_01_04_217.png\" alt=\"PROD: An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 5; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 5; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h4>Exercise 8<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215602\/CNX_BMath_Figure_01_04_219.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \u201cx; 6; 7; 8; 9\u201d. The first row has the values \u201cx; 6; 7; 8; 9\u201d.\" \/><\/p>\n<h3>Multiply Whole Numbers<\/h3>\n<p>In the following exercises, multiply.<\/p>\n<ol start=\"190\">\n<li>[latex]0\u22c515[\/latex]<\/li>\n<li>[latex]0\u22c541[\/latex]<\/li>\n<li>[latex](99)0[\/latex]<\/li>\n<li>[latex](77)0[\/latex]<\/li>\n<li>[latex]1\u22c543[\/latex]<\/li>\n<li>[latex]1\u22c534[\/latex]<\/li>\n<li>[latex](28)1[\/latex]<\/li>\n<li>[latex](65)1[\/latex]<\/li>\n<li>[latex]1(240,055)[\/latex]<\/li>\n<li>[latex]1(189,206)[\/latex]<\/li>\n<li>[latex]7\u22c56[\/latex]<\/li>\n<li>[latex]6\u22c57[\/latex]<\/li>\n<li>[latex]8\u00d79[\/latex]<\/li>\n<li>[latex]9\u00d78[\/latex]<\/li>\n<li>[latex](79)(5)[\/latex]<\/li>\n<li>[latex](58)(4)[\/latex]<\/li>\n<li>[latex]275\u22c56[\/latex]<\/li>\n<li>[latex]638\u22c55[\/latex]<\/li>\n<li>[latex]3,421\u00d77[\/latex]<\/li>\n<li>[latex]9,143\u00d73[\/latex]<\/li>\n<li>[latex]52(38)[\/la37(45)<\/li>\n<li>[latex]96\u22c573[\/latex]<\/li>\n<li>[latex]89\u22c556[\/latex]<\/li>\n<li>[latex]27\u00d785[\/latex]<\/li>\n<li>[latex]53\u00d798[\/latex]<\/li>\n<li>[latex]23\u22c510[\/latex]<\/li>\n<li>[latex]19\u22c510[\/latex]<\/li>\n<li>[latex](100)(36)[\/latex]<\/li>\n<li>[latex](100)(25)[\/latex]<\/li>\n<li>[latex]1,000(88)[\/latex]<\/li>\n<li>[latex]1,000(46)[\/latex]<\/li>\n<li>[latex]50\u00d71,000,000[\/latex]<\/li>\n<li>[latex]30\u00d71,000,000[\/latex]<\/li>\n<li>[latex]247\u00d7139[\/latex]<\/li>\n<li>[latex]156\u00d7328[\/latex]<\/li>\n<li>[latex]586(721)[\/latex]<\/li>\n<li>[latex]472(855)[\/latex]<\/li>\n<li>[latex]915\u22c5879[\/latex]<\/li>\n<li>[latex]968\u22c5926[\/latex]<\/li>\n<li>[latex](104)(256)[\/latex]<\/li>\n<li>[latex](103)(497)[\/latex]<\/li>\n<li>[latex]348(705)[\/latex]<\/li>\n<li>[latex]485(602)[\/latex]<\/li>\n<li>[latex]2,719\u00d7543[\/latex]<\/li>\n<li>[latex]3,581\u00d7724[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Math Notation<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol start=\"235\">\n<li>the product of [latex]18[\/latex] and [latex]33[\/latex]<\/li>\n<li>the product of [latex]15[\/latex] and [latex]22[\/latex]<\/li>\n<li>fifty-one times sixty-seven<\/li>\n<li>forty-eight times seventy-one<\/li>\n<li>twice\u00a0[latex]249[\/latex]<\/li>\n<li>twice\u00a0[latex]589[\/latex]<\/li>\n<li>ten times three hundred seventy-five<\/li>\n<li>ten times two hundred fifty-five<\/li>\n<\/ol>\n<h3>Mixed Practice, Part I<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"243\">\n<li>[latex]38\u00d737[\/latex]<\/li>\n<li>[latex]86\u00d729[\/latex]<\/li>\n<li>[latex]415\u2212267[\/latex]<\/li>\n<li>[latex]341\u2212285[\/latex]<\/li>\n<li>[latex]6,251+4,749[\/latex]<\/li>\n<li>[latex]3,816+8,184[\/latex]<\/li>\n<li>[latex](56)(204)[\/latex]<\/li>\n<li>[latex](77)(801)[\/latex]<\/li>\n<li>[latex]947\u22c50[\/latex]<\/li>\n<li>[latex]947+0[\/latex]<\/li>\n<li>[latex]15,382+1[\/latex]<\/li>\n<li>[latex]15,382\u22c51[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice, Part II<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol start=\"255\">\n<li>the difference of [latex]50[\/latex] and [latex]18[\/latex]<\/li>\n<li>the difference of [latex]90[\/latex] and [latex]66[\/latex]<\/li>\n<li>twice [latex]35[\/latex]<\/li>\n<li>twice [latex]140[\/latex]<\/li>\n<li>[latex]20[\/latex] more than [latex]980[\/latex]<\/li>\n<li>[latex]65[\/latex] more than [latex]325[\/latex]<\/li>\n<li>the product of [latex]12[\/latex] and [latex]875[\/latex]<\/li>\n<li>the product of [latex]15[\/latex] and [latex]905[\/latex]<\/li>\n<li>subtract [latex]74[\/latex] from [latex]89[\/latex]<\/li>\n<li>subtract [latex]45[\/latex] from [latex]99[\/latex]<\/li>\n<li>the sum of [latex]3,075[\/latex] and [latex]95[\/latex]<\/li>\n<li>the sum of [latex]6,308[\/latex] and [latex]724[\/latex]<\/li>\n<li>[latex]366[\/latex] less than [latex]814[\/latex]<\/li>\n<li>[latex]388[\/latex] less than [latex]925[\/latex]<\/li>\n<\/ol>\n<h3>Multiply Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Party supplies<\/h4>\n<p>Tim brought [latex]9[\/latex] six-packs of soda to a club party. How many cans of soda did Tim bring?<\/p>\n<h4>Sewing<\/h4>\n<p>Kanisha is making a quilt. She bought [latex]6[\/latex] cards of buttons. Each card had four buttons on it. How many buttons did Kanisha buy?<\/p>\n<h4>Field trip<\/h4>\n<p>Seven school busses let off their students in front of a museum in Washington, DC. Each school bus had [latex]44[\/latex] students. How many students were there?<\/p>\n<h4>Gardening<\/h4>\n<p>Kathryn bought [latex]8[\/latex] flats of impatiens for her flower bed. Each flat has [latex]24[\/latex] flowers. How many flowers did Kathryn buy?<\/p>\n<h4>Charity<\/h4>\n<p>Rey donated [latex]15[\/latex] twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?<\/p>\n<h4>School<\/h4>\n<p>There are [latex]28[\/latex] classrooms at Anna C. Scott elementary school. Each classroom has [latex]26[\/latex] student desks. What is the total number of student desks?<\/p>\n<h4>Recipe<\/h4>\n<p>Stephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses [latex]10[\/latex] cups of club soda, how much fruit juice should she use?<\/p>\n<h4>Gardening<\/h4>\n<p>Hiroko is putting in a vegetable garden. He wants to have twice as many lettuce plants as tomato plants. If he buys [latex]12[\/latex] tomato plants, how many lettuce plants should he get?<\/p>\n<h4>Government<\/h4>\n<p>The United States Senate has twice as many senators as there are states in the United States. There are [latex]50[\/latex] states. How many senators are there in the United States Senate?<\/p>\n<h4>Recipe<\/h4>\n<p>Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys [latex]30[\/latex] pounds of potatoes, how many servings of potato salad will there be?<\/p>\n<h4>Painting<\/h4>\n<p>Jane is painting one wall of her living room. The wall is rectangular, [latex]13[\/latex] feet wide by [latex]9[\/latex] feet high. What is the area of the wall?<\/p>\n<h4>Home d\u00e9cor<\/h4>\n<p>Shawnte bought a rug for the hall of her apartment. The rug is [latex]3[\/latex] feet wide by [latex]18[\/latex] feet long. What is the area of the rug?<\/p>\n<h4>Room size<\/h4>\n<p>The meeting room in a senior center is rectangular, with length [latex]42[\/latex] feet and width [latex]34[\/latex] feet. What is the area of the meeting room?<\/p>\n<h4>Gardening<\/h4>\n<p>June has a vegetable garden in her yard. The garden is rectangular, with length [latex]23[\/latex] feet and width [latex]28[\/latex] feet. What is the area of the garden?<\/p>\n<h4>NCAA basketball<\/h4>\n<p>According to NCAA regulations, the dimensions of a rectangular basketball court must be [latex]94[\/latex] feet by [latex]50[\/latex] feet. What is the area of the basketball court?<\/p>\n<h4>NCAA football<\/h4>\n<p>According to NCAA regulations, the dimensions of a rectangular football field must be [latex]360[\/latex] feet by [latex]160[\/latex] feet. What is the area of the football field?<\/p>\n<h2>Dividing Whole Numbers<\/h2>\n<h3>Use Division Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol start=\"269\">\n<li>[latex]54\u00f79[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>56<\/mn><mn>7<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>32<\/mn><mn>8<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>42<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]48\u00f76[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>63<\/mn><mn>9<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>7<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>63<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]72\u00f78[\/latex]<\/li>\n<\/ol>\n<h3>Model Division of Whole Numbers<\/h3>\n<p>In the following exercises, model the division.<\/p>\n<ol start=\"277\">\n<li>[latex]15\u00f75[\/latex]<\/li>\n<li>[latex]10\u00f75[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>14<\/mn><mn>7<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>18<\/mn><mn>6<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>20<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>3<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>15<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]24\u00f76[\/latex]<\/li>\n<li>[latex]16\u00f74[\/latex]<\/li>\n<\/ol>\n<h3>Divide Whole Numbers<\/h3>\n<p>In the following exercises, divide. Then check by multiplying.<\/p>\n<ol start=\"285\">\n<li>[latex]18\u00f72[\/latex]<\/li>\n<li>[latex]14\u00f72[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>27<\/mn><mn>3<\/mn><\/mfrac><\/math>\n<\/li>\n<\/ol>\n<ol start=\"288\">\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>30<\/mn><mn>3<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>28<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>36<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>45<\/mn><mn>5<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>35<\/mn><mn>5<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]72\/8[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>64<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>35<\/mn><mn>7<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]42\u00f77[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>15<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>12<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>12<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]43\u00f743[\/latex]<\/li>\n<li>[latex]37\u00f737[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>23<\/mn><mn>1<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>29<\/mn><mn>1<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]19\u00f71[\/latex]<\/li>\n<li>[latex]17\u00f71[\/latex]<\/li>\n<li>[latex]0\u00f74[\/latex]<\/li>\n<li>[latex]0\u00f78[\/latex]<\/li>\n<li>[latex]\\frac{5}{0}[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>9<\/mn><mn>0<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>26<\/mn><mn>0<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>32<\/mn><mn>0<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>12<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>0<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>16<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>0<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]72\u00f73[\/latex]<\/li>\n<li>[latex]57\u00f73[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>96<\/mn><mn>8<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mn>78<\/mn><mn>6<\/mn><\/mfrac><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>5<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>465<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>528<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]924\u00f77[\/latex]<\/li>\n<li>[latex]861\u00f77[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>5<\/mn><mo>,<\/mo><mn>226<\/mn><\/mrow><mn>6<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]3,7768[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>31<\/mn><mo>,<\/mo><mn>324<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\u00a0<\/li>\n<li>[latex]7,209\u00f73[\/latex]<\/li>\n<li>[latex]4,806\u00f73[\/latex]<\/li>\n<li>[latex]5,406\u00f76[\/latex]<\/li>\n<li>[latex]3,208\u00f74[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><mo>,<\/mo><mn>816<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>3<\/mn><mo>,<\/mo><mn>624<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]91,8819[\/latex]<\/li>\n<li>[latex]83,2568[\/latex]<\/li>\n<li>[latex]2,470\u00f77[\/latex]<\/li>\n<li>[latex]3,741\u00f77[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>55<\/mn><mo>,<\/mo><mn>305<\/mn><\/mrow><\/mover><\/math><\/p>\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>9<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>51<\/mn><mo>,<\/mo><mn>492<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]431,1745[\/latex]<\/li>\n<li>[latex]297,2774[\/latex]<\/li>\n<li>[latex]130,016\u00f73[\/latex]<\/li>\n<li>[latex]105,609\u00f72[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>5<\/mn><mo>,<\/mo><mn>735<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>4<\/mn><mo>,<\/mo><mn>933<\/mn><\/mrow><mn>21<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]56,883\u00f767[\/latex]<\/li>\n<li>[latex]43,725\/75[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>30<\/mn><mo>,<\/mo><mn>144<\/mn><\/mrow><mn>314<\/mn><\/mfrac><\/math>\n<\/li>\n<li>[latex]26,145\u00f7415[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>273<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>542<\/mn><mo>,<\/mo><mn>195<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]816,243\u00f7462[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"349\">\n<li>[latex]15(204)[\/latex]<\/li>\n<li>[latex]74\u22c5391[\/latex]<\/li>\n<li>[latex]256\u2212184[\/latex]<\/li>\n<li>[latex]305\u2212262[\/latex]<\/li>\n<li>[latex]719+341[\/latex]<\/li>\n<li>[latex]647+528[\/latex]<\/li>\n<li>\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>25<\/mn><mover><mrow><mo stretchy=\"false\">)<\/mo><mn>875<\/mn><\/mrow><mo accent=\"false\">\u00af<!-- \u00af --><\/mo><\/mover><\/math>\n<\/li>\n<li>[latex]1104\u00f723[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol start=\"357\">\n<li>the quotient of [latex]45[\/latex] and [latex]15[\/latex]<\/li>\n<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex]<\/li>\n<li>the quotient of [latex]288[\/latex] and [latex]24[\/latex]<\/li>\n<li>the quotient of [latex]256[\/latex] and [latex]32[\/latex]<\/li>\n<\/ol>\n<h3>Divide Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Trail mix<\/h4>\n<p>Ric bought\u00a0[latex]6[\/latex]4\u00a0ounces of trail mix. He wants to divide it into small bags, with\u00a0[latex]2[\/latex]\u00a0ounces of trail mix in each bag. How many bags can Ric fill?<\/p>\n<h4>Crackers<\/h4>\n<p>Evie bought a\u00a0[latex]42[\/latex]\u00a0ounce box of crackers. She wants to divide it into bags with\u00a0[latex]3[\/latex]\u00a0ounces of crackers in each bag. How many bags can Evie fill?<\/p>\n<h4>Astronomy class<\/h4>\n<p>There are\u00a0[latex]125[\/latex]\u00a0students in an astronomy class. The professor assigns them into groups of\u00a0[latex]5[\/latex]. How many groups of students are there?<\/p>\n<h4>Flower shop<\/h4>\n<p>Melissa\u2019s flower shop got a shipment of\u00a0[latex]152[\/latex]\u00a0roses. She wants to make bouquets of\u00a0[latex]8[\/latex]\u00a0roses each. How many bouquets can Melissa make?<\/p>\n<h4>Baking<\/h4>\n<p>One roll of plastic wrap is\u00a0[latex]48[\/latex]\u00a0feet long. Marta uses\u00a0[latex]3[\/latex]\u00a0feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?<\/p>\n<h4>Dental floss<\/h4>\n<p>One package of dental floss is\u00a0[latex]54[\/latex]\u00a0feet long. Brian uses\u00a0[latex]2[\/latex]\u00a0feet of dental floss every day. How many days will one package of dental floss last Brian?<\/p>\n<h2>Mixed Practice (Applications)<\/h2>\n<p>In the following exercises, solve.<\/p>\n<h3>Miles per gallon<\/h3>\n<p>Susana\u2019s hybrid car gets\u00a0[latex]45[\/latex]\u00a0miles per gallon. Her son\u2019s truck gets\u00a0[latex]17[\/latex]\u00a0miles per gallon. What is the difference in miles per gallon between Susana\u2019s car and her son\u2019s truck?<\/p>\n<h3>Distance<\/h3>\n<p>Mayra lives\u00a0[latex]53[\/latex]\u00a0miles from her mother\u2019s house and\u00a0[latex]71[\/latex]\u00a0miles from her mother-in-law\u2019s house. How much farther is Mayra from her mother-in-law\u2019s house than from her mother\u2019s house?<\/p>\n<h3>Field trip<\/h3>\n<p>The\u00a045\u00a0students in a Geology class will go on a field trip, using the college\u2019s vans. Each van can hold\u00a09\u00a0students. How many vans will they need for the field trip?<\/p>\n<p>Potting soil<\/p>\n<p>Aki bought a\u00a0[latex]128[\/latex]\u00a0ounce bag of potting soil. How many\u00a0[latex]4[\/latex]\u00a0ounce pots can he fill from the bag?<\/p>\n<h3>Hiking<\/h3>\n<p>Bill hiked\u00a0[latex]8[\/latex]\u00a0miles on the first day of his backpacking trip,\u00a0[latex]14[\/latex]\u00a0miles the second day,\u00a0[latex]11[\/latex]\u00a0miles the third day, and\u00a0[latex]17[\/latex]\u00a0miles the fourth day. What is the total number of miles Bill hiked?<\/p>\n<h3>Reading<\/h3>\n<p>Last night Emily read\u00a0[latex]6[\/latex] pages in her Business textbook,\u00a0[latex]26[\/latex]\u00a0pages in her History text,\u00a0[latex]15[\/latex]\u00a0pages in her Psychology text, and\u00a0[latex]9[\/latex]\u00a0pages in her math text. What is the total number of pages Emily read?<\/p>\n<h3>Patients<\/h3>\n<p>LaVonne treats\u00a0[latex]12[\/latex]\u00a0patients each day in her dental office. Last week she worked\u00a0[latex]4[\/latex]\u00a0days. How many patients did she treat last week?<\/p>\n<h3>Scouts<\/h3>\n<p>There are\u00a0[latex]14[\/latex]\u00a0boys in Dave\u2019s scout troop. At summer camp, each boy earned\u00a0[latex]5[\/latex]\u00a0merit badges. What was the total number of merit badges earned by Dave\u2019s scout troop at summer camp?<\/p>\n","protected":false},"author":23,"menu_order":25,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":290,"module-header":"practice","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4918"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/23"}],"version-history":[{"count":20,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4918\/revisions"}],"predecessor-version":[{"id":15182,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4918\/revisions\/15182"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/290"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4918\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4918"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4918"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4918"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}