{"id":10348,"date":"2017-05-26T18:39:46","date_gmt":"2017-05-26T18:39:46","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10348"},"modified":"2017-08-09T20:33:20","modified_gmt":"2017-08-09T20:33:20","slug":"summary-writing-and-identifying-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/summary-writing-and-identifying-decimals\/","title":{"raw":"Summary: Writing and Identifying Decimals","rendered":"Summary: Writing and Identifying Decimals"},"content":{"raw":"<h2 data-type=\"title\">Key Concepts<\/h2>\r\n<ul id=\"eip-279\">\r\n \t<li><strong>Name a decimal number.<\/strong>\r\n<ol id=\"eip-id1170322945699\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Name the number to the left of the decimal point.<\/li>\r\n \t<li>Write \"and\" for the decimal point.<\/li>\r\n \t<li>Name the \"number\" part to the right of the decimal point as if it were a whole number.<\/li>\r\n \t<li>Name the decimal place of the last digit.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Write a decimal number from its name.<\/strong>\r\n<ol id=\"eip-id1170322956735\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Look for the word \"and\"\u2014it locates the decimal point. Place a decimal point under the word \"and.\" Translate the words before \"and\" into the whole number and place it to the left of the decimal point.If there is no \"and,\" write a \"0\" with a decimal point to its right.<\/li>\r\n \t<li>Mark the number of decimal places needed to the right of the decimal point by noting the place value indicated by the last word.<\/li>\r\n \t<li>Translate the words after \"and\" into the number to the right of the decimal point. Write the number in the spaces\u2014putting the final digit in the last place.<\/li>\r\n \t<li>Fill in zeros for place holders as needed.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Convert a decimal number to a fraction or mixed number.<\/strong>\r\n<ol id=\"eip-id1170322956760\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Look at the number to the left of the decimal. If it is zero, the decimal converts to a proper fraction. If it is not zero, the decimal converts to a mixed number. Write the whole number.<\/li>\r\n \t<li>Determine the place value of the final digit.<\/li>\r\n \t<li>Write the fraction.\r\nnumerator\u2014the \u2018numbers\u2019 to the right of the decimal point\r\ndenominator\u2014the place value corresponding to the final digit<\/li>\r\n \t<li>Simplify the fraction, if possible.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Order decimals.<\/strong>\r\n<ol id=\"eip-id1170325313990\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Check to see if both numbers have the same number of decimal places. If not, write zeros at the end of the one with fewer digits to make them match.<\/li>\r\n \t<li>Compare the numbers to the right of the decimal point as if they were whole numbers.<\/li>\r\n \t<li>Order the numbers using the appropriate inequality sign.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Round a decimal.<\/strong>\r\n<ol id=\"eip-id1170325314005\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Locate the given place value and mark it with an arrow.<\/li>\r\n \t<li>Underline the digit to the right of the given place value.<\/li>\r\n \t<li>Is this digit greater than or equal to [latex]5[\/latex]? Yes - add [latex]1[\/latex] to the digit in the given place value. No - do not change the digit in the given place value<\/li>\r\n \t<li>Rewrite the number, removing all digits to the right of the given place value.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl id=\"fs-id1483170\" class=\"definition\">\r\n \t<dt><strong>equivalent decimals<\/strong><\/dt>\r\n \t<dd id=\"fs-id1483175\">Two decimals are equivalent decimals if they convert to equivalent fractions.<\/dd>\r\n<\/dl>","rendered":"<h2 data-type=\"title\">Key Concepts<\/h2>\n<ul id=\"eip-279\">\n<li><strong>Name a decimal number.<\/strong>\n<ol id=\"eip-id1170322945699\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Name the number to the left of the decimal point.<\/li>\n<li>Write &#8220;and&#8221; for the decimal point.<\/li>\n<li>Name the &#8220;number&#8221; part to the right of the decimal point as if it were a whole number.<\/li>\n<li>Name the decimal place of the last digit.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Write a decimal number from its name.<\/strong>\n<ol id=\"eip-id1170322956735\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Look for the word &#8220;and&#8221;\u2014it locates the decimal point. Place a decimal point under the word &#8220;and.&#8221; Translate the words before &#8220;and&#8221; into the whole number and place it to the left of the decimal point.If there is no &#8220;and,&#8221; write a &#8220;0&#8221; with a decimal point to its right.<\/li>\n<li>Mark the number of decimal places needed to the right of the decimal point by noting the place value indicated by the last word.<\/li>\n<li>Translate the words after &#8220;and&#8221; into the number to the right of the decimal point. Write the number in the spaces\u2014putting the final digit in the last place.<\/li>\n<li>Fill in zeros for place holders as needed.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Convert a decimal number to a fraction or mixed number.<\/strong>\n<ol id=\"eip-id1170322956760\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Look at the number to the left of the decimal. If it is zero, the decimal converts to a proper fraction. If it is not zero, the decimal converts to a mixed number. Write the whole number.<\/li>\n<li>Determine the place value of the final digit.<\/li>\n<li>Write the fraction.<br \/>\nnumerator\u2014the \u2018numbers\u2019 to the right of the decimal point<br \/>\ndenominator\u2014the place value corresponding to the final digit<\/li>\n<li>Simplify the fraction, if possible.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Order decimals.<\/strong>\n<ol id=\"eip-id1170325313990\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Check to see if both numbers have the same number of decimal places. If not, write zeros at the end of the one with fewer digits to make them match.<\/li>\n<li>Compare the numbers to the right of the decimal point as if they were whole numbers.<\/li>\n<li>Order the numbers using the appropriate inequality sign.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Round a decimal.<\/strong>\n<ol id=\"eip-id1170325314005\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Locate the given place value and mark it with an arrow.<\/li>\n<li>Underline the digit to the right of the given place value.<\/li>\n<li>Is this digit greater than or equal to [latex]5[\/latex]? Yes &#8211; add [latex]1[\/latex] to the digit in the given place value. No &#8211; do not change the digit in the given place value<\/li>\n<li>Rewrite the number, removing all digits to the right of the given place value.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id1483170\" class=\"definition\">\n<dt><strong>equivalent decimals<\/strong><\/dt>\n<dd id=\"fs-id1483175\">Two decimals are equivalent decimals if they convert to equivalent fractions.<\/dd>\n<\/dl>\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-10348\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><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><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"cfecadf9-afb5-458e-b26c-2a3ecac9aac2","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10348","chapter","type-chapter","status-publish","hentry"],"part":6986,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10348","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":8,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10348\/revisions"}],"predecessor-version":[{"id":14461,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10348\/revisions\/14461"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/6986"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10348\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=10348"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10348"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=10348"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=10348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}