{"id":9,"date":"2017-08-23T06:41:45","date_gmt":"2017-08-23T06:41:45","guid":{"rendered":"http:\/\/americanboard.org\/Subjects\/mathematics\/?page_id=9"},"modified":"2017-08-29T06:18:59","modified_gmt":"2017-08-29T06:18:59","slug":"absolute-values","status":"publish","type":"page","link":"https:\/\/americanboard.org\/Subjects\/mathematics\/absolute-values\/","title":{"rendered":"Absolute Values"},"content":{"rendered":"<div class=\"twelve columns\" style=\"margin-top: 10%;\">\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/fundamental-theorem-of-arithmetic\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/number-sense\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/algebraic-expressions\">Next Lesson \u27a1<\/a><\/div>\n<p><!-- CONTENT BEGINS HERE --><\/p>\n<h1 id=\"title\">Absolute Values<\/h1>\n<h4>Objective<\/h4>\n<p>In this lesson, you will learn about absolute value for real numbers.<\/p>\n<h4>Previously Covered:<\/h4>\n<p>What is absolute value?<\/p>\n<p>The <abbr title=\"the distance of a number from zero on a number line\">absolute\u00a0value<\/abbr> of a number is its distance from zero on a number line.<\/p>\n<p>The notation for &#8220;the absolute value of <em>a,<\/em>&#8221; where <em>a<\/em> is some real number, is <img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/s3_p1_1.gif\" width=\"13\" height=\"15\" name=\"graphics3\" align=\"ABSMIDDLE\" border=\"0\" vspace=\"2\" \/>.\u00a0The bars tell you to find the absolute value of the number inside.<\/p>\n<section>\n<h3>How does absolute value fit in?<\/h3>\n<p>Absolute value shows the distance a number is from zero on a\u00a0number line.<\/p>\n<section class=\"question\">\n<h4>Question<\/h4>\n<p>Which of the following numbers is closest to zero?<\/p>\n<ol>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/s3_p2_1.gif\" width=\"13\" height=\"30\" name=\"graphics3\" align=\"absmiddle\" border=\"0\" \/><\/li>\n<li><span style=\"font-family: 'Times New Roman', Georgia, Times, serif;\">0.25 <\/span><\/li>\n<li>&#8211; <span style=\"font-family: 'Times New Roman', Georgia, Times, serif;\">0.3<br \/>\n<\/span><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/s3_p2_2.gif\" width=\"27\" height=\"29\" name=\"graphics4\" align=\"absmiddle\" border=\"0\" \/><\/li>\n<\/ol>\n<p><a class=\"button button-primary q-answer\"> Reveal Answer <\/a><\/p>\n<div class=\"q-reveal\">\n<p>The correct answer is A. Find the absolute value of each\u00a0number. The choice with the smallest absolute value will be\u00a0closest to zero. Choice A has the smallest absolute value, 0.2.\u00a0Choices B and D have the same absolute value, 0.25.<\/p>\n<\/div>\n<\/section>\n<h3>How do I represent an absolute value on a number line?<\/h3>\n<p>To represent a number on the number line, plot all points with\u00a0the absolute value of the given number.<\/p>\n<p><center><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/s3_p3_1.gif\" width=\"51\" height=\"25\" name=\"graphics3\" align=\"BOTTOM\" border=\"0\" \/><\/center><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/art14.gif\" width=\"474\" height=\"42\" name=\"graphics4\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<section class=\"question\">\n<h4>Question<\/h4>\n<div>\n<p>Which number line represents the graph of\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/s3_p3_2.gif\" alt=\"graphics5\" width=\"26\" height=\"22\" name=\"graphics5\" align=\"ABSMIDDLE\" border=\"0\" \/>\u00a0?<\/p>\n<ol>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/art010.gif\" alt=\"number line with point at -3\" width=\"474\" height=\"43\" name=\"graphics6\" align=\"ABSMIDDLE\" border=\"0\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/art011.gif\" alt=\"number line with points at 3 and -3 and shading between\" width=\"474\" height=\"50\" name=\"graphics7\" align=\"ABSMIDDLE\" border=\"0\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/art012.gif\" alt=\"number line with points at 3 and -3\" width=\"474\" height=\"47\" name=\"graphics8\" align=\"ABSMIDDLE\" border=\"0\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"no_margin non_block_image\" src=\"http:\/\/americanboard.org\/Subjects\/Images\/math\/1\/images\/art013.gif\" alt=\"number line with point at 3\" width=\"534\" height=\"50\" name=\"graphics9\" align=\"ABSMIDDLE\" border=\"0\" \/><\/li>\n<\/ol>\n<\/div>\n<p><a class=\"button button-primary q-answer\"> Reveal Answer <\/a><\/p>\n<div class=\"q-reveal\">\n<p>The correct answer is D. The absolute value of \u20133 is 3.\u00a0The number line must show a point at 3.<\/p>\n<\/div>\n<\/section>\n<\/section>\n<p><!-- CONTENT ENDS HERE --><\/p>\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/fundamental-theorem-of-arithmetic\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/number-sense\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/mathematics\/algebraic-expressions\">Next Lesson \u27a1<\/a><\/div>\n<p><a class=\"backtotop\" href=\"#title\">Back to Top<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2b05 Previous Lesson\u00a0Workshop Index\u00a0Next Lesson \u27a1 Absolute Values Objective In this lesson, you will learn about absolute value for real numbers. Previously Covered: What is absolute value? The absolute\u00a0value of a number is its distance from zero on a number line. The notation for &#8220;the absolute value of a,&#8221; where a is some real number, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-9","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/pages\/9","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/comments?post=9"}],"version-history":[{"count":5,"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/pages\/9\/revisions"}],"predecessor-version":[{"id":363,"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/pages\/9\/revisions\/363"}],"wp:attachment":[{"href":"https:\/\/americanboard.org\/Subjects\/mathematics\/wp-json\/wp\/v2\/media?parent=9"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}