{"id":514,"date":"2022-04-16T06:19:33","date_gmt":"2022-04-16T06:19:33","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=514"},"modified":"2025-08-19T18:10:54","modified_gmt":"2025-08-19T18:10:54","slug":"b-4absolute-value-and-opposite-integers","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/b-4absolute-value-and-opposite-integers\/","title":{"rendered":"B.4\tAbsolute value and opposite integers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Absolute value and opposite integers<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwKL5DxTU\/1OD10xLkzGpjhh0rxw9F9Q\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwKL5DxTU&#x2F;1OD10xLkzGpjhh0rxw9F9Q&#x2F;watch?utm_content=DAGwKL5DxTU&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Absolute value and opposite integers<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Definition:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The absolute value of a number is its distance from 0 on a number line, regardless of direction.<\/li>\n\n\n\n<li>It is always a non-negative number.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Notation:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The absolute value of a number aaa is denoted as \u2223a\u2223|a|\u2223a\u2223.<\/li>\n<\/ul>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u22235\u2223=5<\/li>\n\n\n\n<li>\u2223\u22125\u2223=5<\/li>\n\n\n\n<li>\u22230\u2223=0<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Properties:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2223a\u2223\u22650|a|  for any real number aaa.<\/li>\n\n\n\n<li>\u2223a\u2223=0 if and only if a=0.<\/li>\n\n\n\n<li>\u2223a\u00d7b\u2223=\u2223a\u2223\u00d7\u2223b\u2223|.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Opposite Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Two integers are opposites if they are the same distance from 0 on a number line but in opposite directions.<\/li>\n\n\n\n<li>The opposite of aaa is \u2212a-a\u2212a.<\/li>\n<\/ul>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The opposite of 7 is -7.<\/li>\n\n\n\n<li>The opposite of -3 is 3.<\/li>\n\n\n\n<li>The opposite of 0 is 0.<\/li>\n<\/ul>\n\n\n\n<p><strong>Properties:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>aa and \u2212a-a have the same absolute value: \u2223a\u2223=\u2223\u2212a\u2223.<\/li>\n\n\n\n<li>Adding opposite integers results in 0: a+(\u2212a)=0<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table aligncenter\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Practice problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the opposite of&nbsp;<sup>\u2013<\/sup>3?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The opposite of&nbsp;<sup>\u2013<\/sup>3 is 3.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the opposite of&nbsp;<sup>\u2013<\/sup>5?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The opposite of&nbsp;<sup>\u2013<\/sup>5 is 5.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the opposite of 20?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The opposite of 20 is -20.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the opposite of 65?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The opposite of 65 is -65.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the opposite of -11?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The opposite of -11 is 11.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the absolute value of&nbsp;4?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The absolute value of&nbsp;4&nbsp;is&nbsp;4.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the absolute value of&nbsp;3?<\/td><td class=\"has-text-align-center\" data-align=\"center\">The absolute value of&nbsp;3&nbsp;is&nbsp;3.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the absolute value of&nbsp;<sup>\u2013<\/sup>3?<\/td><td class=\"has-text-align-center\" data-align=\"center\">the absolute value of&nbsp;<sup>\u2013<\/sup>3&nbsp;is&nbsp;3.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the absolute value of&nbsp;8?<\/td><td class=\"has-text-align-center\" data-align=\"center\">the absolute value of&nbsp;8&nbsp;is&nbsp;8.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">What is the absolute value of&nbsp;-1?<\/td><td class=\"has-text-align-center\" data-align=\"center\">the absolute value of&nbsp;-1&nbsp;is&nbsp;1.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c6ecf5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-background-background-color has-background has-normal-font-size\">What is the absolute value of&nbsp;<sup>\u2013<\/sup>7?<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-normal-font-size\" style=\"color:#000151\">key idea: Absolute values are positive or zero.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\">solution:<\/h4>\n\n\n\n<p>The absolute value of a number is its distance from 0.<\/p>\n\n\n\n<p>Find the distance between&nbsp;<sup>\u2013<\/sup>7&nbsp;and 0 on a number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/08\/Untitled-design.png\" alt=\"\" class=\"wp-image-2334\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/08\/Untitled-design.png 1000w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/08\/Untitled-design-300x60.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/08\/Untitled-design-768x154.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p>The distance between \u20137 and 0 is 7 .<\/p>\n\n\n\n<p>So, the absolute value of \u20137 is 7.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#cff1fb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>What is the absolute value of&nbsp; <sup>\u2013<\/sup>3?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The absolute value of a number is its distance from 0.<\/p>\n\n\n\n<p>Find the distance between&nbsp;<sup>\u2013<\/sup>3&nbsp;and 0 on a number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview.png\" alt=\"\" class=\"wp-image-7635\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__3_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>The distance between \u20133 and 0 is 3 .<\/p>\n\n\n\n<p>So, the absolute value of \u20133 is 3.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Try some practice problems!<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76129\/421\/542\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-109.png\" alt=\"\" class=\"wp-image-6820\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-109.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-109-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-109-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-109-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76109\/305\/929\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-110.png\" alt=\"\" class=\"wp-image-6821\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-110.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-110-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-110-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-110-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Absolute value and opposite integers Absolute value and opposite integers by Delta publications Key Notes: Definition: Notation: Examples: Properties: Opposite Integers Definition: Examples: Properties: Practice problems What is the opposite of&nbsp;\u20133? The opposite of&nbsp;\u20133 is 3. What is the opposite of&nbsp;\u20135? The opposite of&nbsp;\u20135 is 5. What is the opposite of 20? The opposite of<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/b-4absolute-value-and-opposite-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.4\tAbsolute value and opposite integers&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-514","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/514","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=514"}],"version-history":[{"count":26,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/514\/revisions"}],"predecessor-version":[{"id":16803,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/514\/revisions\/16803"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}