{"id":36,"date":"2022-04-12T11:55:17","date_gmt":"2022-04-12T11:55:17","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=36"},"modified":"2025-11-20T05:54:33","modified_gmt":"2025-11-20T05:54:33","slug":"c-1-integer-addition-and-subtraction-rules","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/c-1-integer-addition-and-subtraction-rules\/","title":{"rendered":"C.1 Integer addition and subtraction rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Integer addition and subtraction rules<\/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\/DAGwrVTYWv4\/Wh3c3_nZ92p1Xm2WPndYlg\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwrVTYWv4&#x2F;Wh3c3_nZ92p1Xm2WPndYlg&#x2F;watch?utm_content=DAGwrVTYWv4&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Integer Addition And Subtraction Rules<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Points:<\/strong><\/h2>\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>\ud83d\udd39 <strong>What are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Integers are a set of whole numbers that include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Positive numbers<\/strong> (1, 2, 3, \u2026)<\/li>\n\n\n\n<li><strong>Negative numbers<\/strong> (\u20131, \u20132, \u20133, \u2026)<\/li>\n\n\n\n<li><strong>Zero (0)<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udc49 Example: \u20135, \u20132, 0, 3, 7 are all integers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udd39<strong> Rules for Addition of Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Same Signs \u2192 Add and Keep the Sign<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If both integers are <strong>positive<\/strong>, add them and answer is positive.<\/li>\n\n\n\n<li>If both integers are <strong>negative<\/strong>, add them and answer is negative.<br>\u2705 Example:<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+6) + (+3) = +9<\/li>\n\n\n\n<li>(\u20135) + (\u20134) = \u20139<\/li>\n<\/ul>\n\n\n\n<p><strong>Different Signs \u2192 Subtract and Keep the Sign of the Larger Number<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract the smaller absolute value from the larger absolute value.<\/li>\n\n\n\n<li>The result takes the sign of the integer with the <strong>larger absolute value<\/strong>.<br>\u2705 Example:<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+7) + (\u20133) = +4<\/li>\n\n\n\n<li>(\u20138) + (+5) = \u20133<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udd39 <strong>Rules for Subtraction of Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\ud83d\udca1 Remember: <strong>Subtracting an integer is the same as adding its opposite.<\/strong><\/p>\n\n\n\n<p>Change subtraction into addition by taking the <strong>opposite<\/strong> of the second number.<\/p>\n\n\n\n<p>a \u2013 b = a + (\u2013b)<\/p>\n\n\n\n<p>Then follow the rules of <strong>integer addition<\/strong>.<\/p>\n\n\n\n<p>\u2705 Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 \u2013 (\u20134) = 7 + 4 = 11<\/li>\n\n\n\n<li>(\u20136) \u2013 (+3) = \u20136 + (\u20133) = \u20139<\/li>\n\n\n\n<li>(\u20138) \u2013 (\u20135) = \u20138 + 5 = \u20133<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udd39 Quick Tips<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>\u201cLike signs \u2192 Add\u201d<\/strong><\/li>\n\n\n\n<li><strong>\u201cUnlike signs \u2192 Subtract\u201d<\/strong><\/li>\n\n\n\n<li><strong>\u201cSubtracting a number \u2192 Add its opposite\u201d<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udd39<strong> Number Line Method (Visual Aid)<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Moving <strong>right<\/strong> \u2192 Positive direction<\/li>\n\n\n\n<li>Moving <strong>left<\/strong> \u2192 Negative direction<br>\ud83d\udc49 Example: (\u20132) + 5 = Start at \u20132, move 5 steps right \u2192 Answer = +3<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udd39 <strong>Practice Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(+9) + (\u20134) = ?<\/li>\n\n\n\n<li>(\u20137) + (\u20136) = ?<\/li>\n\n\n\n<li>(+12) \u2013 (\u20138) = ?<\/li>\n\n\n\n<li>(\u201310) \u2013 (+5) = ?<\/li>\n\n\n\n<li>(\u20133) + (+11) = ?<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\u2705 <strong>Answers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>+5<\/li>\n\n\n\n<li>\u201313<\/li>\n\n\n\n<li>+20<\/li>\n\n\n\n<li>\u201315<\/li>\n\n\n\n<li>+8<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\ud83d\udccc <strong>Summary:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-primary-color has-text-color has-normal-font-size\">Always check the <strong>sign of the bigger number<\/strong> for the final answer.<\/p>\n\n\n\n<p>Addition of integers depends on <strong>signs<\/strong> (same \u2192 add, different \u2192 subtract).<\/p>\n\n\n\n<p>Subtraction means <strong>adding the opposite<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-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:#ee9fe0\"><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 has-normal-font-size\"><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-f46d4248e5b966b10099710b58289f38\" style=\"color:#b00012\">\u27a1\ufe0f Is&nbsp;-17 +&nbsp;-20 positive or negative?<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>When you add two negative numbers, like&nbsp;-17 and&nbsp;-20, the result is negative.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>-17 +&nbsp;-20 =&nbsp;-37<\/p>\n\n\n\n<p>\ud83d\udc49As you can see, the result is<strong> negative<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#91ebb8\"><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 has-normal-font-size\"><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-2533e9a1bce27f54101bf34a90228e97\" style=\"color:#b00012\">\u27a1\ufe0f Is 48 \u2212 9 positive or negative?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Since you are subtracting a smaller positive number, 9, from a larger positive number, 48, the result remains positive.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>48 \u2212 9 = 39<\/p>\n\n\n\n<p>\ud83d\udc49As you can see, the result is <strong>positive.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#929df3\"><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 has-normal-font-size\"><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-63ac656a531e74a746fa5caff6d53784\" style=\"color:#b00012\">\u27a1\ufe0f Is&nbsp;-4 + 18 positive or negative?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>When you add a negative number,&nbsp;<sup>\u2013<\/sup>4, and a positive number, 18, the result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-4 is 4.<\/p>\n\n\n\n<p>The magnitude of 18 is 18.<\/p>\n\n\n\n<p>Since 18 has a larger magnitude and 18 is positive, the result is positive.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>-4 + 18 = 14<\/p>\n\n\n\n<p>\ud83d\udc49As you can see, the result is <strong>positive.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f <\/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\/80324\/311\/122\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-234.png\" alt=\"\" class=\"wp-image-9350\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-234.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-234-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-234-150x150.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\/76401\/500\/718\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-241.png\" alt=\"\" class=\"wp-image-9351\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-241.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-241-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-241-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Integer addition and subtraction rules Integer Addition And Subtraction Rules by Delta publications Key Points: \ud83d\udd39 What are Integers? Integers are a set of whole numbers that include: \ud83d\udc49 Example: \u20135, \u20132, 0, 3, 7 are all integers. \ud83d\udd39 Rules for Addition of Integers Same Signs \u2192 Add and Keep the Sign Different Signs \u2192<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/c-1-integer-addition-and-subtraction-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.1 Integer addition and subtraction rules&#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-36","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\/36","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=36"}],"version-history":[{"count":37,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":22314,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions\/22314"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}