{"id":46,"date":"2022-04-12T09:23:30","date_gmt":"2022-04-12T09:23:30","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=46"},"modified":"2025-08-07T09:06:45","modified_gmt":"2025-08-07T09:06:45","slug":"c-1-integer-addition-and-subtraction-rules","status":"publish","type":"page","link":"https:\/\/7thclass.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\" style=\"color:#00056d;text-transform:uppercase\"><strong>Integer addition and subtraction rules<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/class-7-C.1-Integer-addition-and-subtraction-rules.mp4\"><\/video><\/figure>\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>Understanding Integers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integers include all positive whole numbers, negative whole numbers, and zero.<\/li>\n\n\n\n<li><strong>Example<\/strong>: &#8230;,-3, -2, -1, 0, 1, 2, 3,&#8230;<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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>Addition of Integers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Same Signs (Positive + Positive or Negative + Negative):<\/strong><\/p>\n\n\n\n<p>Add the absolute values of the integers.<\/p>\n\n\n\n<p>Keep the sign of the integers.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+5) + (+3) = +8<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(-4) + (-6) = -10<\/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>Different Signs (Positive + Negative or Negative + Positive):<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Subtract the smaller absolute value from the larger absolute value.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The sign of the result is the same as the sign of the integer with the larger absolute value.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+7) + (-4) = +3<\/li>\n\n\n\n<li>(-5) + (+8) = +3<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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>Subtraction of Integers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(-3) &#8211; (+2) = (-3) + (-2) = -5<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Change the Subtraction to Addition:<\/strong><\/p>\n\n\n\n<p>Subtraction of an integer is the same as adding its opposite.<\/p>\n\n\n\n<p><strong>Formula:<\/strong> a\u2212b=a+(\u2212b)a &#8211; b = a + (-b)a\u2212b=a+(\u2212b)<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6\u22123=6+(\u22123)=3<\/li>\n\n\n\n<li>\u22128\u22125=\u22128+(\u22125)=\u221213<\/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>Same Signs (Positive &#8211; Positive or Negative &#8211; Negative):<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Follow the same rules as addition, but with subtraction.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+10) &#8211; (+4) = +6<\/li>\n\n\n\n<li>(-7) &#8211; (-3) = -4 (since subtracting a negative is like adding its positive)<\/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>Different Signs (Positive &#8211; Negative or Negative &#8211; Positive):<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Change subtraction to addition by adding the opposite of the second integer.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+4) &#8211; (-3) = (+4) + (+3) = +7<\/li>\n\n\n\n<li>(-3) &#8211; (+2) = (-3) + (-2) = -5<\/li>\n<\/ul>\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\" style=\"background-color:#d3f7eb\"><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>Is 83 \u2212 79 positive or negative?<\/strong><\/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, 79, from a larger positive number, 83, 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>83 \u2212 79 = 4<\/p>\n\n\n\n<p>As you can see, the result is positive.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d6cef6\"><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\"><strong>\u27a1\ufe0f Is&nbsp;-1 + 41 positive or negative?<\/strong><\/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>1, and a positive number, 41, the result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-1 is 1.<\/p>\n\n\n\n<p>The magnitude of 41 is 41.<\/p>\n\n\n\n<p>Since 41 has a larger magnitude and 41 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>-1 + 41 = 40<\/p>\n\n\n\n<p>As you can see, the result is positive.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#efc9fb\"><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> Is&nbsp;-8 \u2212&nbsp;(-91) positive or negative?<\/strong><\/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 negative number, add a positive number instead:<\/p>\n\n\n\n<p>-8<strong>&nbsp;\u2212(&nbsp;-91<\/strong>)&nbsp;=&nbsp;-8<strong>&nbsp;+&nbsp;91<\/strong><\/p>\n\n\n\n<p>Now you have a negative number,&nbsp;<sup>\u2013<\/sup>8, and a positive number, 91. The result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-8 is 8.<\/p>\n\n\n\n<p>The magnitude of 91 is 91.<\/p>\n\n\n\n<p>Since 91 has a larger magnitude and 91 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>-8 \u2212&nbsp;(-91) = 83<\/p>\n\n\n\n<p>As you can see, the result is positive.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-normal-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\/76333\/471\/250\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-189.png\" alt=\"\" class=\"wp-image-7129\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-189.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-189-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-189-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-189-400x400.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\/76346\/197\/907\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-192.png\" alt=\"\" class=\"wp-image-7131\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-192.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-192-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-192-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-192-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Integer addition and subtraction rules Key Notes: Understanding Integers: Addition of Integers: Same Signs (Positive + Positive or Negative + Negative): Add the absolute values of the integers. Keep the sign of the integers. Example: Different Signs (Positive + Negative or Negative + Positive): Subtract the smaller absolute value from the larger absolute value. The<a class=\"more-link\" href=\"https:\/\/7thclass.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,"footnotes":""},"class_list":["post-46","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.2.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Integer addition and subtraction rules Key Notes: Integers include all positive whole numbers, negative whole numbers, and zero. Example: ...,-3, -2, -1, 0, 1, 2, 3,... 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Same Signs (Positive + Positive or Negative + Negative): Add the absolute values of the integers. Keep the sign of the integers. Example: (+5) + (+3) = +8 (-4)","og:url":"https:\/\/7thclass.deltapublications.in\/index.php\/c-1-integer-addition-and-subtraction-rules\/","og:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","og:image:secure_url":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","article:published_time":"2022-04-12T09:23:30+00:00","article:modified_time":"2025-08-07T09:06:45+00:00","twitter:card":"summary","twitter:title":"C.1 Integer addition and subtraction rules - 7th Class","twitter:description":"Integer addition and subtraction rules Key Notes: Integers include all positive whole numbers, negative whole numbers, and zero. Example: ...,-3, -2, -1, 0, 1, 2, 3,... Same Signs (Positive + Positive or Negative + Negative): Add the absolute values of the integers. Keep the sign of the integers. Example: (+5) + (+3) = +8 (-4)","twitter:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png"},"aioseo_meta_data":{"post_id":"46","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":{"id":"#aioseo-web-page-6735cd8f3fa68","slug":"web-page","graphName":"WebPage","label":"Web Page","properties":{"type":"WebPage","name":"","description":""}}},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":"{\"article\":{\"articleType\":\"BlogPosting\"},\"course\":{\"name\":\"\",\"description\":\"\",\"provider\":\"\"},\"faq\":{\"pages\":[]},\"product\":{\"reviews\":[]},\"recipe\":{\"ingredients\":[],\"instructions\":[],\"keywords\":[]},\"software\":{\"reviews\":[],\"operatingSystems\":[]},\"webPage\":{\"webPageType\":\"WebPage\"}}","pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2022-04-12 09:23:31","updated":"2025-09-23 10:26:08","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/7thclass.deltapublications.in\/\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">\u00bb<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tC.1 Integer addition and subtraction rules\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/7thclass.deltapublications.in\/"},{"label":"C.1 Integer addition and subtraction rules","link":"https:\/\/7thclass.deltapublications.in\/index.php\/c-1-integer-addition-and-subtraction-rules\/"}],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46","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=46"}],"version-history":[{"count":23,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":16633,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions\/16633"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}