Whole Numbers and Integers: Get Stronger Answer Key

Identify Counting Numbers and Whole Numbers

    1. Counting numbers: [latex]5, 125[/latex]
    2. Whole numbers: [latex]0, 5, 125[/latex]
    1. Counting numbers: [latex]50, 221[/latex]
    2. Whole numbers: [latex]0, 50, 221[/latex]
  3. [latex]561[/latex]
  4. [latex]407[/latex]
    1. thousands
    2. hundreds
    3. tens
    4. ten thousands
    5. hundred thousands
    1. hundred thousands
    2. millions
    3. thousands
    4. tens
    5. ten thousands
  7. One thousand, seventy-eight
  8. Three hundred sixty-four thousand, five hundred ten
  9. Five million, eight hundred forty-six thousand, one hundred three
  10. Thirty-seven million, eight hundred eighty-nine thousand, five
  11. Fourteen thousand, four hundred ten
  12. Six hundred thirteen thousand, two hundred
  13. Two million, six hundred seventeen thousand, one hundred seventy-six
  14. Twenty-three million, eight hundred sixty-seven thousand
  15. One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six
  16. [latex]412[/latex]
  17. [latex]35,975[/latex]
  18. [latex]11,044,167[/latex]
  19. [latex]3,226,512,017[/latex]
  20. [latex]7,173,000,000[/latex]
  21. [latex]39,000,000,000,000[/latex]
  22. [latex]390[/latex]
  23. [latex]790[/latex]
  24. [latex]13,700[/latex]
  25. [latex]28,200[/latex]
  26. [latex]1,490[/latex]
  27. [latex]2,000[/latex]
  28. [latex]64,000[/latex]
  29. [latex]164,000[/latex]
  30. five plus two; the sum of [latex]5[/latex] and [latex]2[/latex].
  31. thirteen plus eighteen; the sum of [latex]13[/latex] and [latex]18[/latex].
  32. 21.two hundred fourteen plus six hundred forty-two; the sum of [latex]214[/latex] and [latex]642[/latex]
  33. [latex]2 + 4 = 6[/latex]
  34. [latex]8 + 4 = 12[/latex]
  35. [latex]14 + 75 = 89[/latex]
  36. [latex]16 + 25 = 41[/latex]
  37. 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 “+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The second column has the values “0; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The third column has the values “1; 1; 2; 3; 4; 5; 6; 7; 8; 9; 10”. The fourth column has the values “2; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11”. The fifth column has the values “3; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12”. The sixth column has the values “4; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13”. The seventh column has the values “5; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14”. The eighth column has the values “6; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15”. The ninth column has the values “7; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16”. The tenth column has the values “8; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17”. The eleventh column has the values “9; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18”.
  38. This table is 5 rows and 8 columns. The cells in the first row and first column are shaded darker than the other cells. The first column has the values "+; 6; 7; 8; 9". The second column has the values "3; 9; 10; 11; 12". The third column has the values "4; 10; 11; 12; 13". The fourth column has the values "5; 11; 12; 13; 14". The fifth column has the values "6; 12; 13; 14; 15". The sixth column has the values "7; 13; 14; 15; 16". The seventh column has the values "8; 14; 15; 16; 17". The eighth column has the values "9; 15; 16; 17; 18".
  39. 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 “+; 5; 6; 7; 8; 9”. The second row has the values " 5; 10; 11; 12; 13; 14". The third row has the values "6; 11; 12; 13; 14; 15". The fourth row has the values "7; 12; 13; 14; 15; 16". The fifth row has the values "8; 13; 14; 15; 16; 17". The sixth row has the values "9; 14; 15; 16; 17; 18".
  40. [latex]13[/latex]
  41. [latex]11[/latex]
  42. [latex]78[/latex]
  43. [latex]99[/latex]
  44. [latex]85[/latex]
  45. [latex]142[/latex]
  46. [latex]493[/latex]
  47. [latex]861[/latex]
  48. [latex]1,031[/latex]
  49. [latex]6,850[/latex]
  50. [latex]22,333[/latex]
  51. [latex]1,104,860[/latex]
  52. [latex]29,191[/latex]
  53. [latex]101,531[/latex]
  54. In the following exercises, translate each phrase into math notation and then simplify.
  55. [latex]13 + 18 = 31[/latex]
  56. [latex]90 + 65 = 155[/latex]
  57. [latex]33 + 49 = 82[/latex]
  58. [latex]250 + 599 = 849[/latex]
  59. [latex]628 + 77 = 705[/latex]
  60. [latex]915 + 1,482 = 2,397[/latex]
  61. The total cost was [latex]$1,875[/latex].
  62. Ethan rode [latex]138[/latex] miles.
  63. The total square footage in the rooms is [latex]1,167[/latex] square feet.
  64. Natalie’s total salary is [latex]$237,186[/latex].
  65. The perimeter of the figure is [latex]44[/latex] inches.
  66. The perimeter of the figure is [latex]56[/latex] meters.
  67. The perimeter of the figure is [latex]71[/latex] yards.
  68. The perimeter of the figure is [latex]62[/latex] feet.
  69. fifteen minus nine; the difference of fifteen and nine
  70. forty-two minus thirty-five; the difference of forty-two and thirty-five
  71. hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty
  72. An image of 5 blocks. Two are circled with an arrow indicating their removal. The equation "5 - 2 = 3" is written below.
  73. An image of 6 blocks. Three are circled with an arrow indicating their removal. The equation "6 - 3 = 3" is written below.
  74. An image of 1 horizontal rod containing 10 blocks, followed by 8 individual blocks. Five of the individual blocks are circled with an arrow indicating their removal. The equation "18 - 5 = 13" is written below.
  75. An image of 17 individual blocks. Eight of the individual blocks are circled with an arrow indicating their removal. The equation "17 - 8 = 9" is written below.
  76. An image of 3 horizontal rods containing 10 blocks each, and 5 individual blocks. One horizontal rod and 3 individual blocks are circled, indicating their removal. The equation "35 - 13 = 22" is written below.
  77. An image of 5 horizontal rods containing 10 blocks each, and 11 individual blocks. Four horizontal rods and 7 individual blocks are circled, indicating their removal. The equation "61 - 47 = 14" is written below.
  78. [latex]5[/latex]
  79. [latex]8[/latex]
  80. [latex]22[/latex]
  81. [latex]33[/latex]
  82. [latex]123[/latex]
  83. [latex]1,321[/latex]
  84. [latex]28[/latex]
  85. [latex]222[/latex]
  86. [latex]346[/latex]
  87. [latex]3,519[/latex]
  88. [latex]1,186[/latex]
  89. [latex]34,668[/latex]
  90. In the following exercises, translate and simplify.
  91. [latex]10 − 3; 7[/latex]
  92. [latex]15 − 4; 11[/latex]
  93. [latex]9 − 6; 3[/latex]
  94. [latex]75 − 28; 47[/latex]
  95. [latex]45 − 20; 25[/latex]
  96. [latex]92 − 67; 25[/latex]
  97. [latex]16 − 12; 4[/latex]
  98. [latex]61 − 38; 23[/latex]
  99. [latex]29[/latex]
  100. [latex]72[/latex]
  101. [latex]1,060[/latex]
  102. [latex]22[/latex]
  103. [latex]75 + 35; 110[/latex]
  104. [latex]41 − 13; 28[/latex]
  105. [latex]100 − 76; 24[/latex]
  106. The difference between the high and low temperature was [latex]17[/latex] degrees
  107. The difference between the third grade and second grade was [latex]13[/latex] children.
  108. The difference between the regular price and sale price is [latex]$251[/latex].
  109. John needs to save [latex]$155[/latex] more.
  110. four times seven; the product of four and seven
  111. five times twelve; the product of five and twelve
  112. ten times twenty-five; the product of ten and twenty-five
  113. forty-two times thirty-three; the product of forty-two and thirty-three
  114. An image of 3 rows of 6 circles. The equation "3 times 6 = 18" is written below.
  115. An image of 5 rows of 9 circles. The equation "5 times 9 = 45" is written below.
  116. 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 “x; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The second column has the values “0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0”. The third column has the values “1; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The fourth column has the values “2; 0; 2; 4; 6; 8; 10; 12; 14; 16; 18”. The fifth column has the values “3; 0; 3; 6; 9; 12; 15; 18; 21; 24; 27”. The sixth column has the values “4; 0; 4; 8; 12; 16; 20; 24; 28; 32; 36”. The seventh column has the values “5; 0; 5; 10; 15; 20; 25; 30; 35; 40; 45”. The eighth column has the values “6; 0; 6; 12; 18; 24; 30; 36; 42; 48; 54”. The ninth column has the values “7; 0; 7; 14; 21; 28; 35; 42; 49; 56; 63”. The tenth column has the values “8; 0; 8; 16; 24; 32; 40; 48; 56; 64; 72”. The eleventh column has the values “9; 0; 9; 18; 27; 36, 45; 54; 63; 72; 81”.
  117. 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 “x; 4; 5; 6; 7; 8; 9”. The second column has the values “3; 12; 15; 18; 21; 24; 27". The third column has the values "4; 16; 20; 24; 28; 32; 36". The fourth column has the values "5; 20; 25; 30; 35; 40; 45". The fifth column has the values " 6; 24; 30; 36; 42; 48; 54". The sixth column has the values "7; 28; 35; 42; 49; 56; 63". The seventh column has the values "8; 32; 40; 48; 56; 64; 72". The eighth column has the values "9; 36; 45; 54; 63; 72; 81".
  118. 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 first column has the values “x; 6; 7; 8; 9”. The second column has the values "3; 18; 21; 24; 27". The third column has the values "4; 24; 28; 32; 36". The fourth column has the values "5; 30; 35; 40; 45". The fifth column has the values "6; 36; 42; 48; 54". The sixth column has the values "7; 42; 49; 56; 63". The seventh column has the values "8; 48; 56; 64; 72". The eighth column has the values "9; 54; 63; 72; 81".
  119. 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 first column has the values “x; 5; 6; 7; 8; 9”. The second column has the values "5; 25; 30; 35; 40; 45". The third column has the values "6; 30; 36; 42; 48; 54". The fourth column has the values "7; 35; 42; 49; 56; 63". The fifth column has the values "8; 40; 48; 56; 64; 72". The sixth column has the values "9; 45; 54; 63; 72; 81".
  120. In the following exercises, multiply.
  121. [latex]0[/latex]
  122. [latex]0[/latex]
  123. [latex]43[/latex]
  124. [latex]28[/latex]
  125. [latex]240,055[/latex]
  126. [latex]240,055[/latex]
  127. [latex]395[/latex]
  128. [latex]1,650[/latex]
  129. [latex]23,947[/latex]
  130. [latex]1,976[/latex]
  131. [latex]7,008[/latex]
  132. [latex]2,295[/latex]
  133. [latex]230[/latex]
  134. [latex]360[/latex]
  135. [latex]88,000[/latex]
  136. [latex]50,000,000[/latex]
  137. [latex]34,333[/latex]
  138. [latex]422,506[/latex]
  139. [latex]804,285[/latex]
  140. [latex]26,624[/latex]
  141. [latex]245,340[/latex]
  142. [latex]1,476,417[/latex]
  143. In the following exercises, translate and simplify.
  144. [latex]18 · 33; 594[/latex]
  145. [latex]51(67); 3,417[/latex]
  146. [latex]2(249); 498[/latex]
  147. [latex]2(249); 498[/latex]
  148. [latex]10(375); 3,750[/latex]
  149. [latex]1,406[/latex]
  150. [latex]148[/latex]
  151. [latex]11,000[/latex]
  152. [latex]11,424[/latex]
  153. [latex]0[/latex]
  154. [latex]15,383[/latex]
  155. [latex]50 − 18; 32[/latex]
  156. [latex]2(35); 70[/latex]
  157. [latex]20 + 980; 1,000[/latex]
  158. [latex]12(875); 10,500[/latex]
  159. [latex]89 − 74; 15[/latex]
  160. [latex]3,075 + 950; 4,025[/latex]
  161. [latex]814 − 366; 448[/latex]
  162. Tim brought [latex]54[/latex] cans of soda to the party.
  163. There were [latex]308[/latex] students.
  164. Rey donated [latex]180[/latex] t-shirts.
  165. Stephanie should use [latex]20[/latex] cups of fruit juice.
  166. There are [latex]100[/latex] senators in the U.S. senate.
  167. The area of the wall is [latex]117[/latex] square feet.
  168. The area of the room is [latex]1,428[/latex] square feet.
  169. The area of the court is [latex]4,700[/latex] square feet.
  170. fifty-four divided by nine; the quotient of fifty-four and nine
  171. thirty-two divided by eight; the quotient of thirty-two and eight
  172. forty-eight divided by six; the quotient of forty-eight and six
  173. sixty-three divided by seven; the quotient of sixty-three and seven
  174. An image showing 15 circles, grouped into 3 groups of 5 by irregular shapes drawn around the circles.
  175. An image showing 14 circles, grouped into 2 groups of 7 by irregular shapes drawn around the circles.
  176. An image showing 20 circles, grouped into 5 groups of 4 by irregular shapes drawn around the circles.
  177. An image showing 24 circles, grouped into 4 groups of 6 by irregular shapes drawn around the circles.
  178. [latex]9[/latex]
  179. [latex]9[/latex]
  180. [latex]7[/latex]
  181. [latex]9[/latex]
  182. [latex]9[/latex]
  183. [latex]5[/latex]
  184. [latex]1[/latex]
  185. [latex]1[/latex]
  186. [latex]23[/latex]
  187. [latex]19[/latex]
  188. [latex]0[/latex]
  189. undefined
  190. undefined
  191. [latex]0[/latex]
  192. [latex]24[/latex]
  193. [latex]12[/latex]
  194. [latex]93[/latex]
  195. [latex]132[/latex]
  196. [latex]871[/latex]
  197. [latex]7,831[/latex]
  198. [latex]2,403[/latex]
  199. [latex]901[/latex]
  200. [latex]704[/latex]
  201. [latex]10,209[/latex]
  202. [latex]352 R6[/latex]
  203. [latex]6,913 R1[/latex]
  204. [latex]86,234 R4[/latex]
  205. [latex]43,338 R2[/latex]
  206. [latex]382 R5[/latex]
  207. [latex]849[/latex]
  208. [latex]96[/latex]
  209. [latex]1,986 R17[/latex]
  210. In the following exercises, simplify.
  211. [latex]3,060[/latex]
  212. [latex]72[/latex]
  213. [latex]1,060[/latex]
  214. [latex]35[/latex]
  215. [latex]45 ÷ 15; 3[/latex]
  216. [latex]288 ÷ 24; 12[/latex]
  217. Ric can fill [latex]32[/latex] bags.
  218. There are [latex]25[/latex] groups.
  219. Marta can wrap [latex]16[/latex] cakes from [latex]1[/latex] roll.
  220. The difference is [latex]28[/latex] miles per gallon.
  221. They will need [latex]5[/latex] vans for the field trip
  222. Bill hiked [latex]50[/latex] miles
  223. LaVonne treated [latex]48[/latex] patients last week.