{"id":5513,"date":"2023-06-29T20:16:54","date_gmt":"2023-06-29T20:16:54","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=5513"},"modified":"2024-10-18T20:50:32","modified_gmt":"2024-10-18T20:50:32","slug":"whole-numbers-and-integers-background-youll-need-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/whole-numbers-and-integers-background-youll-need-1\/","title":{"raw":"Whole Numbers and Integers: Background You\u2019ll Need 1","rendered":"Whole Numbers and Integers: Background You\u2019ll Need 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Translate between numbers and words<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>Translating numbers to their word equivalents and vice versa is an essential skill that helps us understand and communicate numerical information more effectively. Whether you are dealing with small or large numbers, being able to convert between numerical and written representations is a valuable skill in various fields, including mathematics, finance, computer science, and everyday life.<\/p>\r\n<h2>Count to Ten<\/h2>\r\n<p>The following are the numbers between [latex]0[\/latex] and [latex]9[\/latex] and how the numbers are spelled in the English language. This is called the ones place.<\/p>\r\n<ul>\r\n\t<li>[latex]0[\/latex] - Zero<\/li>\r\n\t<li>[latex]1[\/latex] - One<\/li>\r\n\t<li>[latex]2[\/latex] - Two<\/li>\r\n\t<li>[latex]3[\/latex] - Three<\/li>\r\n\t<li>[latex]4[\/latex] - Four<\/li>\r\n\t<li>[latex]5[\/latex] - Five<\/li>\r\n\t<li>[latex]6[\/latex] - Six<\/li>\r\n\t<li>[latex]7[\/latex] - Seven<\/li>\r\n\t<li>[latex]8[\/latex] - Eight<\/li>\r\n\t<li>[latex]9[\/latex] - Nine<\/li>\r\n<\/ul>\r\n<h2>Count by Tens<\/h2>\r\n<p>Similarly to the numbers from 0 to 9, we can count by tens. The following are a list of numbers counting by [latex]10[\/latex] from [latex]0[\/latex] to [latex]100[\/latex] and how they are spelled in the English language. This is called the tens place.<\/p>\r\n<ul>\r\n\t<li>[latex]0[\/latex] - Zero<\/li>\r\n\t<li>[latex]10[\/latex] - Ten<\/li>\r\n\t<li>[latex]20[\/latex] - Twenty<\/li>\r\n\t<li>[latex]30[\/latex] - Thirty<\/li>\r\n\t<li>[latex]40[\/latex] - Forty<\/li>\r\n\t<li>[latex]50[\/latex] - Fifty<\/li>\r\n\t<li>[latex]60[\/latex] - Sixty<\/li>\r\n\t<li>[latex]70[\/latex] - Seventy<\/li>\r\n\t<li>[latex]80[\/latex] - Eighty<\/li>\r\n\t<li>[latex]90[\/latex] - Ninety<\/li>\r\n\t<li>[latex]100[\/latex] - One hundred<\/li>\r\n<\/ul>\r\n<h2>Count by Hundreds<\/h2>\r\n<p>We can also count by hundreds. The following are a list of numbers counting by [latex]100[\/latex] from [latex]0[\/latex] to [latex]1,000[\/latex] and how they are spelled in the English language. This is called the hundreds place.<\/p>\r\n<ul>\r\n\t<li>[latex]0[\/latex] - Zero<\/li>\r\n\t<li>[latex]100[\/latex] - One hundred<\/li>\r\n\t<li>[latex]200[\/latex] - Two hundred<\/li>\r\n\t<li>[latex]300[\/latex] - Three hundred<\/li>\r\n\t<li>[latex]400[\/latex] - Four hundred<\/li>\r\n\t<li>[latex]500[\/latex] - Five hundred<\/li>\r\n\t<li>[latex]600[\/latex] - Six hundred<\/li>\r\n\t<li>[latex]700[\/latex] - Seven hundred<\/li>\r\n\t<li>[latex]800[\/latex] - Eight hundred<\/li>\r\n\t<li>[latex]900[\/latex] - Nine hundred<\/li>\r\n\t<li>[latex]1,000[\/latex] - One thousand<\/li>\r\n<\/ul>\r\n<h2>Count by Thousands<\/h2>\r\n<p>After understanding the hundreds place, we can move on to the thousands. The following are a list of numbers counting by [latex]1,000[\/latex] from [latex]1,000[\/latex] to [latex]10,000[\/latex]. This is called the thousands place. Here's how these numbers are spelled in English:<\/p>\r\n<ul>\r\n\t<li>[latex]1,000[\/latex] \u2013 One thousand<\/li>\r\n\t<li>[latex]2,000[\/latex] \u2013 Two thousand<\/li>\r\n\t<li>[latex]3,000[\/latex] \u2013 Three thousand<\/li>\r\n\t<li>[latex]4,000[\/latex] \u2013 Four thousand<\/li>\r\n\t<li>[latex]5,000[\/latex] \u2013 Five thousand<\/li>\r\n\t<li>[latex]6,000[\/latex] \u2013 Six thousand<\/li>\r\n\t<li>[latex]7,000[\/latex] \u2013 Seven thousand<\/li>\r\n\t<li>[latex]8,000[\/latex] \u2013 Eight thousand<\/li>\r\n\t<li>[latex]9,000[\/latex] \u2013 Nine thousand<\/li>\r\n\t<li>[latex]10,000[\/latex] \u2013 Ten thousand<\/li>\r\n<\/ul>\r\n<h2>Combining Places<\/h2>\r\n<p>Numbers between these thousands can be formed by combining the thousands place with the hundreds, tens, and ones places you've already covered. For example:<\/p>\r\n<section class=\"textbox example\">\r\n<ul>\r\n\t<li>[latex]1,234[\/latex] \u2013 One thousand two hundred thirty-four<\/li>\r\n\t<li>[latex]2,345 [\/latex]\u2013 Two thousand three hundred forty-five<\/li>\r\n\t<li>[latex]5,678[\/latex] \u2013 Five thousand six hundred seventy-eight<\/li>\r\n\t<li>[latex]7,890[\/latex] \u2013 Seven thousand eight hundred ninety<\/li>\r\n\t<li>[latex]9,101[\/latex] \u2013 Nine thousand one hundred one<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>Numbers go on forever to infinity, but for this lesson we are only going to focus on the numbers between [latex]0[\/latex] and [latex]10,000[\/latex].<\/p>\r\n<p>With this information, let's try and convert numbers to words.<\/p>\r\n<section class=\"textbox example\">Convert the number [latex]524[\/latex] to words.[reveal-answer q=\"398724\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"398724\"]The number [latex]524[\/latex] has three parts to it. Starting from the left, we see the number [latex]5[\/latex]. This is in the hundreds place, so that tells us that the first part of the word is Five hundred.\r\n\r\n<p>The next number is the [latex]2[\/latex]. This is the tens place. That tells us that next part of the word is twenty.<\/p>\r\n<p>The last number is the [latex]4[\/latex]. This is the ones place. This tells us that the last part of the word is four.<\/p>\r\n<p>When we combine all three parts, we get:<\/p>\r\n<p><strong>Five hundred twenty four<\/strong>.<\/p>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]8928[\/ohm2_question]<\/section>\r\n<p>Now lets practicing converting from the words to numbers.<\/p>\r\n<section class=\"textbox example\">Convert three hundred seventy-two to a number.[reveal-answer q=\"446174\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"446174\"]The number three hundred seventy-two has three parts to it. The first words we see are \"three hundred.\" This tells us that there is a [latex]3[\/latex] in the hundreds place.\r\n\r\n<p>The next words we see are seventy. This is the number [latex]70[\/latex], so there is a [latex]7[\/latex] in the tens place.<\/p>\r\n<p>The last words we see are two. This tells us there is a [latex]2[\/latex] in the ones place.<\/p>\r\n<p>When we combine all parts of this we get following number:<\/p>\r\n<p>[latex]372[\/latex]<\/p>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]8929[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Translate between numbers and words<\/li>\n<\/ul>\n<\/section>\n<p>Translating numbers to their word equivalents and vice versa is an essential skill that helps us understand and communicate numerical information more effectively. Whether you are dealing with small or large numbers, being able to convert between numerical and written representations is a valuable skill in various fields, including mathematics, finance, computer science, and everyday life.<\/p>\n<h2>Count to Ten<\/h2>\n<p>The following are the numbers between [latex]0[\/latex] and [latex]9[\/latex] and how the numbers are spelled in the English language. This is called the ones place.<\/p>\n<ul>\n<li>[latex]0[\/latex] &#8211; Zero<\/li>\n<li>[latex]1[\/latex] &#8211; One<\/li>\n<li>[latex]2[\/latex] &#8211; Two<\/li>\n<li>[latex]3[\/latex] &#8211; Three<\/li>\n<li>[latex]4[\/latex] &#8211; Four<\/li>\n<li>[latex]5[\/latex] &#8211; Five<\/li>\n<li>[latex]6[\/latex] &#8211; Six<\/li>\n<li>[latex]7[\/latex] &#8211; Seven<\/li>\n<li>[latex]8[\/latex] &#8211; Eight<\/li>\n<li>[latex]9[\/latex] &#8211; Nine<\/li>\n<\/ul>\n<h2>Count by Tens<\/h2>\n<p>Similarly to the numbers from 0 to 9, we can count by tens. The following are a list of numbers counting by [latex]10[\/latex] from [latex]0[\/latex] to [latex]100[\/latex] and how they are spelled in the English language. This is called the tens place.<\/p>\n<ul>\n<li>[latex]0[\/latex] &#8211; Zero<\/li>\n<li>[latex]10[\/latex] &#8211; Ten<\/li>\n<li>[latex]20[\/latex] &#8211; Twenty<\/li>\n<li>[latex]30[\/latex] &#8211; Thirty<\/li>\n<li>[latex]40[\/latex] &#8211; Forty<\/li>\n<li>[latex]50[\/latex] &#8211; Fifty<\/li>\n<li>[latex]60[\/latex] &#8211; Sixty<\/li>\n<li>[latex]70[\/latex] &#8211; Seventy<\/li>\n<li>[latex]80[\/latex] &#8211; Eighty<\/li>\n<li>[latex]90[\/latex] &#8211; Ninety<\/li>\n<li>[latex]100[\/latex] &#8211; One hundred<\/li>\n<\/ul>\n<h2>Count by Hundreds<\/h2>\n<p>We can also count by hundreds. The following are a list of numbers counting by [latex]100[\/latex] from [latex]0[\/latex] to [latex]1,000[\/latex] and how they are spelled in the English language. This is called the hundreds place.<\/p>\n<ul>\n<li>[latex]0[\/latex] &#8211; Zero<\/li>\n<li>[latex]100[\/latex] &#8211; One hundred<\/li>\n<li>[latex]200[\/latex] &#8211; Two hundred<\/li>\n<li>[latex]300[\/latex] &#8211; Three hundred<\/li>\n<li>[latex]400[\/latex] &#8211; Four hundred<\/li>\n<li>[latex]500[\/latex] &#8211; Five hundred<\/li>\n<li>[latex]600[\/latex] &#8211; Six hundred<\/li>\n<li>[latex]700[\/latex] &#8211; Seven hundred<\/li>\n<li>[latex]800[\/latex] &#8211; Eight hundred<\/li>\n<li>[latex]900[\/latex] &#8211; Nine hundred<\/li>\n<li>[latex]1,000[\/latex] &#8211; One thousand<\/li>\n<\/ul>\n<h2>Count by Thousands<\/h2>\n<p>After understanding the hundreds place, we can move on to the thousands. The following are a list of numbers counting by [latex]1,000[\/latex] from [latex]1,000[\/latex] to [latex]10,000[\/latex]. This is called the thousands place. Here&#8217;s how these numbers are spelled in English:<\/p>\n<ul>\n<li>[latex]1,000[\/latex] \u2013 One thousand<\/li>\n<li>[latex]2,000[\/latex] \u2013 Two thousand<\/li>\n<li>[latex]3,000[\/latex] \u2013 Three thousand<\/li>\n<li>[latex]4,000[\/latex] \u2013 Four thousand<\/li>\n<li>[latex]5,000[\/latex] \u2013 Five thousand<\/li>\n<li>[latex]6,000[\/latex] \u2013 Six thousand<\/li>\n<li>[latex]7,000[\/latex] \u2013 Seven thousand<\/li>\n<li>[latex]8,000[\/latex] \u2013 Eight thousand<\/li>\n<li>[latex]9,000[\/latex] \u2013 Nine thousand<\/li>\n<li>[latex]10,000[\/latex] \u2013 Ten thousand<\/li>\n<\/ul>\n<h2>Combining Places<\/h2>\n<p>Numbers between these thousands can be formed by combining the thousands place with the hundreds, tens, and ones places you&#8217;ve already covered. For example:<\/p>\n<section class=\"textbox example\">\n<ul>\n<li>[latex]1,234[\/latex] \u2013 One thousand two hundred thirty-four<\/li>\n<li>[latex]2,345[\/latex]\u2013 Two thousand three hundred forty-five<\/li>\n<li>[latex]5,678[\/latex] \u2013 Five thousand six hundred seventy-eight<\/li>\n<li>[latex]7,890[\/latex] \u2013 Seven thousand eight hundred ninety<\/li>\n<li>[latex]9,101[\/latex] \u2013 Nine thousand one hundred one<\/li>\n<\/ul>\n<\/section>\n<p>Numbers go on forever to infinity, but for this lesson we are only going to focus on the numbers between [latex]0[\/latex] and [latex]10,000[\/latex].<\/p>\n<p>With this information, let&#8217;s try and convert numbers to words.<\/p>\n<section class=\"textbox example\">Convert the number [latex]524[\/latex] to words.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q398724\">Show Answer<\/button><\/p>\n<div id=\"q398724\" class=\"hidden-answer\" style=\"display: none\">The number [latex]524[\/latex] has three parts to it. Starting from the left, we see the number [latex]5[\/latex]. This is in the hundreds place, so that tells us that the first part of the word is Five hundred.<\/p>\n<p>The next number is the [latex]2[\/latex]. This is the tens place. That tells us that next part of the word is twenty.<\/p>\n<p>The last number is the [latex]4[\/latex]. This is the ones place. This tells us that the last part of the word is four.<\/p>\n<p>When we combine all three parts, we get:<\/p>\n<p><strong>Five hundred twenty four<\/strong>.<\/p>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm8928\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=8928&theme=lumen&iframe_resize_id=ohm8928&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Now lets practicing converting from the words to numbers.<\/p>\n<section class=\"textbox example\">Convert three hundred seventy-two to a number.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q446174\">Show Answer<\/button><\/p>\n<div id=\"q446174\" class=\"hidden-answer\" style=\"display: none\">The number three hundred seventy-two has three parts to it. The first words we see are &#8220;three hundred.&#8221; This tells us that there is a [latex]3[\/latex] in the hundreds place.<\/p>\n<p>The next words we see are seventy. This is the number [latex]70[\/latex], so there is a [latex]7[\/latex] in the tens place.<\/p>\n<p>The last words we see are two. This tells us there is a [latex]2[\/latex] in the ones place.<\/p>\n<p>When we combine all parts of this we get following number:<\/p>\n<p>[latex]372[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm8929\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=8929&theme=lumen&iframe_resize_id=ohm8929&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":16,"menu_order":2,"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":"background_you_need","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\/5513"}],"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\/16"}],"version-history":[{"count":17,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5513\/revisions"}],"predecessor-version":[{"id":15113,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5513\/revisions\/15113"}],"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\/5513\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=5513"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=5513"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=5513"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=5513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}