{"id":4592,"date":"2020-04-21T00:19:04","date_gmt":"2020-04-21T00:19:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/writing-whole-numbers-with-words\/"},"modified":"2020-04-21T00:19:04","modified_gmt":"2020-04-21T00:19:04","slug":"writing-whole-numbers-with-words","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/esc-mathforliberalartscorequisite\/chapter\/writing-whole-numbers-with-words\/","title":{"raw":"Writing Whole Numbers with Words","rendered":"Writing Whole Numbers with Words"},"content":{"raw":"\n<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n \t<li>Write a whole number given as digits in words<\/li>\n \t<li>Write a whole number given in words as digits<\/li>\n<\/ul>\n<\/div>\n&nbsp;\n<h2>Use Place Value to Name Whole Numbers<\/h2>\nWhen you write a check, you write out the number in words as well as in digits. To write a number in words, write the number in each period followed by the name of the period without the \u2018s\u2019 at the end. Start with the digit at the left, which has the largest place value. The commas separate the periods, so wherever there is a comma in the number, write a comma between the words. The ones period, which has the smallest place value, is not named.\n\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215218\/CNX_BMath_Figure_01_01_013_img.png\" alt=\"An image with three values separated by commas. The first value is \">\nSo the number [latex]37,519,248[\/latex] is written thirty-seven million, five hundred nineteen thousand, two hundred forty-eight.\nNotice that the word <em>and<\/em> is not used when naming a whole number.\n<div class=\"textbox shaded\">\n<h3 class=\"title\">Name a whole number in words<\/h3>\n<ol id=\"eip-375\" class=\"stepwise\">\n \t<li>Starting at the digit on the left, name the number in each period, followed by the period name. Do not include the period name for the ones.<\/li>\n \t<li>Use commas in the number to separate the periods.<\/li>\n<\/ol>\n<\/div>\n&nbsp;\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\nName the number [latex]8,165,432,098,710[\/latex] in words.\n\nSolution\n<table id=\"fs-id1171100715908\" class=\"unnumbered unstyled\" summary=\"Begin with the leftmost digit, which is 8. It is in the trillions place. Eight trillion. \/ The next period to the right is billions - one hundred sixty-five billion. \/ The next period to the right is millions - four hundred thirty-two million. \/ The next period to the right is thousands - ninety-eight thousand. \/ The rightmost period shows the ones - seven hundred ten.\">\n<tbody>\n<tr>\n<td>Begin with the leftmost digit, which is[latex]8[\/latex]. It is in the trillions place.<\/td>\n<td>eight trillion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is billions.<\/td>\n<td>one hundred sixty-five billion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is millions.<\/td>\n<td>four hundred thirty-two million<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is thousands.<\/td>\n<td>ninety-eight thousand<\/td>\n<\/tr>\n<tr>\n<td>The rightmost period shows the ones.<\/td>\n<td>seven hundred ten<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215220\/CNX_BMath_Figure_01_01_014_img.png\" alt=\"An image with five values separated by commas. The first value is \">\nPutting all of the words together, we write [latex]8,165,432,098,710[\/latex] as eight trillion, one hundred sixty-five billion, four hundred thirty-two million, ninety-eight thousand, seven hundred ten.\n\n<\/div>\n&nbsp;\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\nA student conducted research and found that the number of mobile phone users in the United States during one month in [latex]2014[\/latex] was [latex]327,577,529[\/latex]. Name that number in words.\n[reveal-answer q=\"692742\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"692742\"]\nIdentify the periods associated with the number.\n\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215222\/CNX_BMath_Figure_01_01_015_img.png\" alt=\"An image with three values separated by commas. The first value is \">\n\nName the number in each period, followed by the period name. Put the commas in to separate the periods.\n\n<strong>Millions period<\/strong>: three hundred twenty-seven million\n<strong>Thousands period<\/strong>: five hundred seventy-seven thousand\n<strong>Ones period<\/strong>: five hundred twenty-nine\n\nSo the number of mobile phone users in the Unites States during the month of April was three hundred twenty-seven million, five hundred seventy-seven thousand, five hundred twenty-nine.\n\n[\/hidden-answer]\n\n<\/div>\n&nbsp;\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n[ohm_question]143026[\/ohm_question]\n\n<\/div>\n&nbsp;\n<h2>Use Place Value to Write Whole Numbers<\/h2>\nWe will now reverse the process and write a number given in words as digits.\n<div class=\"textbox shaded\">\n<h3 class=\"title\">Use place value to write a whole number<\/h3>\n<ol id=\"eip-100\" class=\"stepwise\">\n \t<li>Identify the words that indicate periods. (Remember the ones period is never named.)<\/li>\n \t<li>Draw three blanks to indicate the number of places needed in each period. Separate the periods by commas.<\/li>\n \t<li>Name the number in each period and place the digits in the correct place value position.<\/li>\n<\/ol>\n<\/div>\n&nbsp;\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\nWrite the following numbers using digits.\n<ol>\n \t<li>fifty-three million, four hundred one thousand, seven hundred forty-two<\/li>\n \t<li>nine billion, two hundred forty-six million, seventy-three thousand, one hundred eighty-nine<\/li>\n<\/ol>\n[reveal-answer q=\"605912\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"605912\"]\n1.\n<ul>\n \t<li>Identify the words that indicate periods.<\/li>\n \t<li>Except for the first period, all other periods must have three places.<\/li>\n \t<li>Draw three blanks to indicate the number of places needed in each period.<\/li>\n \t<li>Separate the periods by commas.<\/li>\n \t<li>Then write the digits in each period.<\/li>\n<\/ul>\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215223\/CNX_BMath_Figure_01_01_016_img.png\" alt=\"An image with three blocks of text pointing to numerical values. The first block of text is \">\nPut the numbers together, including the commas. The number is [latex]53,401,742[\/latex].\n\n&nbsp;\n\n2.\n<ul>\n \t<li>Identify the words that indicate periods.<\/li>\n \t<li>Except for the first period, all other periods must have three places.<\/li>\n \t<li>Draw three blanks to indicate the number of places needed in each period.<\/li>\n \t<li>Separate the periods by commas.<\/li>\n \t<li>Then write the digits in each period.<\/li>\n<\/ul>\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215225\/CNX_BMath_Figure_01_01_017_img.png\" alt=\"An image with four blocks of text pointing to numerical values. The first block of text is \">\nThe number is [latex]9,246,073,189[\/latex].\n\nNotice that in part (2), a zero was needed as a place-holder in the hundred thousands place. Be sure to write zeros as needed to make sure that each period, except possibly the first, has three places.\n\n[\/hidden-answer]\n\n<\/div>\n&nbsp;\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n[ohm_question]143028[\/ohm_question]\n\n<\/div>\n&nbsp;\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\nA state budget was about [latex]\\text{\\$77}[\/latex] billion. Write the budget in standard form.\n[reveal-answer q=\"595048\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"595048\"]\n\nIdentify the periods. In this case, only two digits are given and they are in the billions period. To write the entire number, write zeros for all of the other periods.\n\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215228\/CNX_BMath_Figure_01_01_018_img.png\" alt=\"An image with four blocks of text pointing to numerical values. The first block of text is \">\nSo the budget was about [latex]\\text{\\$77,000,000,000.}[\/latex]\n\n[\/hidden-answer]\n\n<\/div>\n&nbsp;\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\nWrite each number in standard form:\n<ol>\n \t<li id=\"fs-id1800228\">The closest distance from Earth to Mars is about [latex]34[\/latex] million miles.<\/li>\n \t<li>The total weight of an aircraft carrier is [latex]204[\/latex] million pounds.<\/li>\n<\/ol>\n[reveal-answer q=\"198073\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"198073\"]\n<ol>\n \t<li>[latex]34,000,000[\/latex] miles<\/li>\n \t<li>[latex]204,000,000[\/latex] pounds<\/li>\n<\/ol>\n[\/hidden-answer]\n\n<\/div>\n&nbsp;\n\nThe video below shows more examples of how to use place value to write the name of a whole number.\n\nhttps:\/\/youtu.be\/H9HpkvY_iaE\n","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Write a whole number given as digits in words<\/li>\n<li>Write a whole number given in words as digits<\/li>\n<\/ul>\n<\/div>\n<p>&nbsp;<\/p>\n<h2>Use Place Value to Name Whole Numbers<\/h2>\n<p>When you write a check, you write out the number in words as well as in digits. To write a number in words, write the number in each period followed by the name of the period without the \u2018s\u2019 at the end. Start with the digit at the left, which has the largest place value. The commas separate the periods, so wherever there is a comma in the number, write a comma between the words. The ones period, which has the smallest place value, is not named.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215218\/CNX_BMath_Figure_01_01_013_img.png\" alt=\"An image with three values separated by commas. The first value is\" \/><br \/>\nSo the number [latex]37,519,248[\/latex] is written thirty-seven million, five hundred nineteen thousand, two hundred forty-eight.<br \/>\nNotice that the word <em>and<\/em> is not used when naming a whole number.<\/p>\n<div class=\"textbox shaded\">\n<h3 class=\"title\">Name a whole number in words<\/h3>\n<ol id=\"eip-375\" class=\"stepwise\">\n<li>Starting at the digit on the left, name the number in each period, followed by the period name. Do not include the period name for the ones.<\/li>\n<li>Use commas in the number to separate the periods.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Name the number [latex]8,165,432,098,710[\/latex] in words.<\/p>\n<p>Solution<\/p>\n<table id=\"fs-id1171100715908\" class=\"unnumbered unstyled\" summary=\"Begin with the leftmost digit, which is 8. It is in the trillions place. Eight trillion. \/ The next period to the right is billions - one hundred sixty-five billion. \/ The next period to the right is millions - four hundred thirty-two million. \/ The next period to the right is thousands - ninety-eight thousand. \/ The rightmost period shows the ones - seven hundred ten.\">\n<tbody>\n<tr>\n<td>Begin with the leftmost digit, which is[latex]8[\/latex]. It is in the trillions place.<\/td>\n<td>eight trillion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is billions.<\/td>\n<td>one hundred sixty-five billion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is millions.<\/td>\n<td>four hundred thirty-two million<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is thousands.<\/td>\n<td>ninety-eight thousand<\/td>\n<\/tr>\n<tr>\n<td>The rightmost period shows the ones.<\/td>\n<td>seven hundred ten<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215220\/CNX_BMath_Figure_01_01_014_img.png\" alt=\"An image with five values separated by commas. The first value is\" \/><br \/>\nPutting all of the words together, we write [latex]8,165,432,098,710[\/latex] as eight trillion, one hundred sixty-five billion, four hundred thirty-two million, ninety-eight thousand, seven hundred ten.<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>A student conducted research and found that the number of mobile phone users in the United States during one month in [latex]2014[\/latex] was [latex]327,577,529[\/latex]. Name that number in words.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q692742\">Show Solution<\/span><\/p>\n<div id=\"q692742\" class=\"hidden-answer\" style=\"display: none\">\nIdentify the periods associated with the number.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215222\/CNX_BMath_Figure_01_01_015_img.png\" alt=\"An image with three values separated by commas. The first value is\" \/><\/p>\n<p>Name the number in each period, followed by the period name. Put the commas in to separate the periods.<\/p>\n<p><strong>Millions period<\/strong>: three hundred twenty-seven million<br \/>\n<strong>Thousands period<\/strong>: five hundred seventy-seven thousand<br \/>\n<strong>Ones period<\/strong>: five hundred twenty-nine<\/p>\n<p>So the number of mobile phone users in the Unites States during the month of April was three hundred twenty-seven million, five hundred seventy-seven thousand, five hundred twenty-nine.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143026\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143026&theme=oea&iframe_resize_id=ohm143026&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<h2>Use Place Value to Write Whole Numbers<\/h2>\n<p>We will now reverse the process and write a number given in words as digits.<\/p>\n<div class=\"textbox shaded\">\n<h3 class=\"title\">Use place value to write a whole number<\/h3>\n<ol id=\"eip-100\" class=\"stepwise\">\n<li>Identify the words that indicate periods. (Remember the ones period is never named.)<\/li>\n<li>Draw three blanks to indicate the number of places needed in each period. Separate the periods by commas.<\/li>\n<li>Name the number in each period and place the digits in the correct place value position.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Write the following numbers using digits.<\/p>\n<ol>\n<li>fifty-three million, four hundred one thousand, seven hundred forty-two<\/li>\n<li>nine billion, two hundred forty-six million, seventy-three thousand, one hundred eighty-nine<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q605912\">Show Solution<\/span><\/p>\n<div id=\"q605912\" class=\"hidden-answer\" style=\"display: none\">\n1.<\/p>\n<ul>\n<li>Identify the words that indicate periods.<\/li>\n<li>Except for the first period, all other periods must have three places.<\/li>\n<li>Draw three blanks to indicate the number of places needed in each period.<\/li>\n<li>Separate the periods by commas.<\/li>\n<li>Then write the digits in each period.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215223\/CNX_BMath_Figure_01_01_016_img.png\" alt=\"An image with three blocks of text pointing to numerical values. The first block of text is\" \/><br \/>\nPut the numbers together, including the commas. The number is [latex]53,401,742[\/latex].<\/p>\n<p>&nbsp;<\/p>\n<p>2.<\/p>\n<ul>\n<li>Identify the words that indicate periods.<\/li>\n<li>Except for the first period, all other periods must have three places.<\/li>\n<li>Draw three blanks to indicate the number of places needed in each period.<\/li>\n<li>Separate the periods by commas.<\/li>\n<li>Then write the digits in each period.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215225\/CNX_BMath_Figure_01_01_017_img.png\" alt=\"An image with four blocks of text pointing to numerical values. The first block of text is\" \/><br \/>\nThe number is [latex]9,246,073,189[\/latex].<\/p>\n<p>Notice that in part (2), a zero was needed as a place-holder in the hundred thousands place. Be sure to write zeros as needed to make sure that each period, except possibly the first, has three places.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143028\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143028&theme=oea&iframe_resize_id=ohm143028&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>A state budget was about [latex]\\text{\\$77}[\/latex] billion. Write the budget in standard form.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q595048\">Show Solution<\/span><\/p>\n<div id=\"q595048\" class=\"hidden-answer\" style=\"display: none\">\n<p>Identify the periods. In this case, only two digits are given and they are in the billions period. To write the entire number, write zeros for all of the other periods.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215228\/CNX_BMath_Figure_01_01_018_img.png\" alt=\"An image with four blocks of text pointing to numerical values. The first block of text is\" \/><br \/>\nSo the budget was about [latex]\\text{\\$77,000,000,000.}[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p>Write each number in standard form:<\/p>\n<ol>\n<li id=\"fs-id1800228\">The closest distance from Earth to Mars is about [latex]34[\/latex] million miles.<\/li>\n<li>The total weight of an aircraft carrier is [latex]204[\/latex] million pounds.<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q198073\">Show Solution<\/span><\/p>\n<div id=\"q198073\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>[latex]34,000,000[\/latex] miles<\/li>\n<li>[latex]204,000,000[\/latex] pounds<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>The video below shows more examples of how to use place value to write the name of a whole number.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Example:  Write a Whole Number in Digits from Words\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/H9HpkvY_iaE?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-4592\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Revision and Adaptation. <strong>Authored by<\/strong>: Deborah Devlin. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Example: Write a Whole Number in Digits from Words. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/H9HpkvY_iaE\">https:\/\/youtu.be\/H9HpkvY_iaE<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><li>Question ID: 143208. <strong>Authored by<\/strong>: Leon Brin. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t 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