{"id":32,"date":"2022-04-12T11:54:23","date_gmt":"2022-04-12T11:54:23","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=32"},"modified":"2025-09-02T02:37:17","modified_gmt":"2025-09-02T02:37:17","slug":"b-3-compare-and-order-integers","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/b-3-compare-and-order-integers\/","title":{"rendered":"B.3 Compare and order integers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Compare and order 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\/DAGwKFVUNQQ\/3yPteFFq2wNVAPulkMR9Iw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwKFVUNQQ&#x2F;3yPteFFq2wNVAPulkMR9Iw&#x2F;watch?utm_content=DAGwKFVUNQQ&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Compare and order integers<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8f286de4e8b3262d2a38ee4ee01e687e\" style=\"color:#74008b\">key notes : <\/p>\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>Understanding Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Integers are whole numbers (not fractions or decimals) that can be positive, negative, or zero. The further a number is to the <em>right<\/em> on the number line, the <em>greater<\/em> its value. The further a number is to the <em>left<\/em> on the number line, the <em>smaller<\/em> its value.<\/p>\n\n\n\n<p><strong>Key points:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Positive integers are greater than zero.<\/li>\n\n\n\n<li>Negative integers are less than zero.<\/li>\n\n\n\n<li>Zero is neither positive nor negative.<\/li>\n\n\n\n<li>Positive integers are greater than negative integers.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table><tbody><tr><th>=<\/th><th>When two values are equal, we use the &#8220;equals&#8221; sign<\/th><th class=\"has-text-align-center\" data-align=\"center\">example:<br> 2+2 = 4<\/th><\/tr><tr><td>&lt;<\/td><td><strong>When one value is smaller than another, we can use a &#8220;less than&#8221; sign.<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>example:<\/strong><br><strong> 3 &lt; 5<\/strong><\/td><\/tr><tr><td>&gt;<\/td><td><strong>When one value is bigger than another, we can use a &#8220;greater than&#8221; sign<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>example:<\/strong><br><strong> 9 &gt; 6<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\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>Comparing Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Example 1:<\/strong><br><strong> Comparing Positive Integers<\/strong><br>Compare 5 and 2.<br><em>5 is greater than 2, so we write: 5 &gt; 2<\/em><\/td><td><strong>Example 2:<\/strong><br><strong> Comparing Negative Integers<\/strong><br>Compare -3 and -7.<br><em>-3 is to the right of -7 on the number line. So, -3 is greater than -7, and we write: -3 &gt; -7<\/em><\/td><\/tr><tr><td><strong>Example 3:<\/strong><br><strong> Comparing Positive and Negative Integers<\/strong><br>Compare 4 and -1.<br><em>4 is positive, and -1 is negative. Positive integers are always greater than negative integers. So, 4 &gt; -1<\/em><\/td><td><strong>Example 4: <\/strong><br><strong>Comparing with Zero<\/strong><br>Compare -2 and 0.<br><em>-2 is negative, and negative integers are always less than zero. So, -2 &lt; 0<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\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>How to compare and order integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Integers on the left side of 0 on the number line get smaller as we move from right to left, whereas integers on the right side of 0 get greater as we move from left to right. Therefore, to compare two integers, we can use greater than (&gt;) or less than (&lt;) symbols.<\/p>\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><strong>How to order the integers from lowest to highest? Give an example.<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">The ordering of integers can be done from lowest to highest in ascending order. For example, if we integers such as, 5, -1, 0, 3, -4, -6, 1, 2, then the order of the given integers from lowest to highest will be:<br>-6 &lt; -4 &lt; -1 &lt; 0 &lt; 1 &lt; 2 &lt; 3&lt; 5<\/p>\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><strong>Which is the smallest and largest integers among the ordered integers of -5 to 5?<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">If the integers are ordered from -5 to 5, then;<br>-5 &lt; -4 &lt; -3 &lt; -2 &lt; -1 &lt; 0 &lt; 1 &lt; 2 &lt; 3 &lt; 4 &lt; 5<br>Thus, from the above arrangement, we can say the smallest integer is -5, and the greatest integer is 5<\/p>\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>Tips and Tricks<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Number Line Visualization:<\/strong> Always visualize the number line. This helps in understanding the relative positions of integers.<\/li>\n\n\n\n<li><strong>Negative Integers:<\/strong> Remember that with negative integers, the larger the number, the smaller its value (e.g., -10 is smaller than -1).<\/li>\n\n\n\n<li><strong>Zero as a Reference:<\/strong> Use zero as a reference point. Positive numbers are always greater than zero, and negative numbers are always less than zero.<\/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>Practice Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Compare the following integers using &gt;, &lt;, or =:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) -8 and 3<\/li>\n\n\n\n<li>b) 5 and -5<\/li>\n\n\n\n<li>c) -2 and -4<\/li>\n<\/ul>\n\n\n\n<p>Order the following integers from least to greatest:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) -7, 2, -1, 5, -3<\/li>\n<\/ul>\n\n\n\n<p>Order the following integers from greatest to least:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 6, -4, 0, -2, 3<\/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>Summary<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>In this lesson, we learned how to compare and order integers. Understanding the number line and the relative positions of positive, negative, and zero is crucial for mastering integer operations. Remember to use the symbols &gt;, &lt;, and = correctly and to visualize the number line when ordering integers.<\/p>\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:#fbd5f8\"><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<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-842004d63eee5f0e487e994c7085e7e9\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Which words make this statement true?<\/strong><\/p>\n\n\n\n<p><sup>\u2013<\/sup>5 ____&nbsp;<sup>\u2013<\/sup>4<\/p>\n<\/div><\/div>\n\n\n\n<p>It may help to locate the points on a number line.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-21.png\" alt=\"\" class=\"wp-image-14829\" style=\"width:500px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-21.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-21-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>is greater than <\/li>\n\n\n\n<li>is less than<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use the number line to help you compare&nbsp;<sup>\u2013<\/sup>5 and&nbsp;<sup>\u2013<\/sup>4.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview.png\" alt=\"\" class=\"wp-image-9896\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p><sup>\u2013<\/sup>5 is farther left than&nbsp;<sup>\u2013<\/sup>4.<\/p>\n\n\n\n<p><sup>\u2013<\/sup>5 is less than&nbsp;<sup>\u2013<\/sup>4.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d1fbf6\"><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 has-link-color wp-elements-842004d63eee5f0e487e994c7085e7e9\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Which words make this statement true?<\/strong><\/p>\n\n\n\n<p><sup>\u2013<\/sup>1 ____ 3<\/p>\n\n\n\n<p>It may help to locate the points on a number line.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design.png\" alt=\"\" class=\"wp-image-14831\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled-design-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>is greater than <\/li>\n\n\n\n<li>is less than<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use the number line to help you compare&nbsp;<sup>\u2013<\/sup>1 and 3.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-9901\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__4_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p><sup>\u2013<\/sup>1 is farther left than 3.<\/p>\n\n\n\n<p><sup>\u2013<\/sup>1 is less than 3.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f9d3f3\"><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 has-link-color wp-elements-32f0b257a144d184f4c41f15de7f23da\" style=\"color:#b00012\"><strong>Which words make this statement true?<\/strong><\/p>\n\n\n\n<p>5 ____&nbsp;<sup>\u2013<\/sup>4<\/p>\n\n\n\n<p>It may help to locate the points 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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3.png\" alt=\"\" class=\"wp-image-10749\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>is greater than <\/li>\n\n\n\n<li>is less than<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use the number line to help you compare 5 and&nbsp;<sup>\u2013<\/sup>4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-10752\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>5 is farther right than&nbsp;<sup>\u2013<\/sup>4.<\/p>\n\n\n\n<p>5 is greater than&nbsp;<sup>\u2013<\/sup>4.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\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\/76130\/072\/470\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95.png\" alt=\"\" class=\"wp-image-8751\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95-150x150.png 150w\" 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\/76129\/589\/392\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-95.png\" alt=\"\" class=\"wp-image-8752\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-95.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-95-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-95-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Compare and order integers Compare and order integers by Delta publications key notes : Understanding Integers Integers are whole numbers (not fractions or decimals) that can be positive, negative, or zero. The further a number is to the right on the number line, the greater its value. The further a number is to the left<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/b-3-compare-and-order-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.3 Compare and order 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-32","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":25,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":21354,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32\/revisions\/21354"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}