{"id":56,"date":"2022-04-12T09:25:19","date_gmt":"2022-04-12T09:25:19","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=56"},"modified":"2025-08-07T11:09:15","modified_gmt":"2025-08-07T11:09:15","slug":"c-6-integer-multiplication-and-division-rules","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/c-6-integer-multiplication-and-division-rules\/","title":{"rendered":"C.6 Integer multiplication and division rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Integer multiplication and division 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.6-__Integer-multiplication-and-division-rules__.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" 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>\ud83d\udd0d <strong>What Are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integers are <strong>positive numbers<\/strong>, <strong>negative numbers<\/strong>, and <strong>zero<\/strong>.<br>Examples: \u2026 \u20133, \u20132, \u20131, <strong>0<\/strong>, +1, +2, +3 \u2026<\/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>\u2716\ufe0f \u2797 <strong>Rules for Multiplying and Dividing Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 <strong>Sign Rules for Both Multiplication and Division<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Case<\/th><th>Rule<\/th><th>Example<\/th><th>Result<\/th><\/tr><\/thead><tbody><tr><td>\ud83d\udc4d Positive \u00d7 Positive<\/td><td>Result is <strong>Positive<\/strong><\/td><td>(+3) \u00d7 (+4)<\/td><td>+12<\/td><\/tr><tr><td>\ud83d\udc4e Negative \u00d7 Negative<\/td><td>Result is <strong>Positive<\/strong><\/td><td>(\u20135) \u00d7 (\u20136)<\/td><td>+30<\/td><\/tr><tr><td>\ud83d\udc4d\ud83d\udc4e Positive \u00d7 Negative<\/td><td>Result is <strong>Negative<\/strong><\/td><td>(+7) \u00d7 (\u20132)<\/td><td>\u201314<\/td><\/tr><tr><td>\ud83d\udc4e\ud83d\udc4d Negative \u00d7 Positive<\/td><td>Result is <strong>Negative<\/strong><\/td><td>(\u20138) \u00d7 (+3)<\/td><td>\u201324<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\ud83d\udccc <strong>Same Signs = Positive<\/strong><br>\ud83d\udccc <strong>Different Signs = Negative<\/strong><\/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>\ud83e\udde0 <strong>Important Points to Remember<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u2705 <strong>Zero times any number is 0<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example: 0 \u00d7 (\u20136) = 0<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u2705 <strong>You can multiply or divide in any order (for two numbers)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example: (\u20134) \u00d7 (+5) = (+5) \u00d7 (\u20134) = \u201320<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c <strong>Division by zero is not allowed<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example: 5 \u00f7 0 \u2192 <strong>undefined<\/strong><\/li>\n<\/ul>\n<\/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>\u270d\ufe0f <strong>Examples: Multiplication<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(\u20133) \u00d7 (\u20132) = +6<\/li>\n\n\n\n<li>(+4) \u00d7 (\u20136) = \u201324<\/li>\n\n\n\n<li>(\u20139) \u00d7 (+5) = \u201345<\/li>\n\n\n\n<li>(+7) \u00d7 (+8) = +56<\/li>\n\n\n\n<li>(\u201310) \u00d7 (0) = 0<\/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>\u270d\ufe0f <strong>Examples: Division<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(\u201312) \u00f7 (\u20133) = +4<\/li>\n\n\n\n<li>(+30) \u00f7 (\u20135) = \u20136<\/li>\n\n\n\n<li>(\u201324) \u00f7 (+4) = \u20136<\/li>\n\n\n\n<li>(+16) \u00f7 (+2) = +8<\/li>\n\n\n\n<li>0 \u00f7 (\u20138) = 0<\/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\udcdd <strong>Practice Questions:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Fill in the blanks:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(\u20137) \u00d7 (\u20135) = _____<\/li>\n\n\n\n<li>(+48) \u00f7 (\u20136) = _____<\/li>\n\n\n\n<li>(\u20139) \u00d7 (+3) = _____<\/li>\n\n\n\n<li>(+56) \u00f7 (+7) = _____<\/li>\n\n\n\n<li>(\u201336) \u00f7 (\u20136) = _____<\/li>\n\n\n\n<li>(\u20138) \u00d7 (0) = _____<\/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><strong>+35<\/strong><\/li>\n\n\n\n<li><strong>\u20138<\/strong><\/li>\n\n\n\n<li><strong>\u201327<\/strong><\/li>\n\n\n\n<li><strong>+8<\/strong><\/li>\n\n\n\n<li><strong>+6<\/strong><\/li>\n\n\n\n<li><strong>0<\/strong><\/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>\ud83c\udfaf <strong>Quick Revision Tip:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Operation<\/th><th>Same Sign<\/th><th>Different Sign<\/th><\/tr><\/thead><tbody><tr><td>Multiply<\/td><td>Positive<\/td><td>Negative<\/td><\/tr><tr><td>Divide<\/td><td>Positive<\/td><td>Negative<\/td><\/tr><\/tbody><\/table><\/figure>\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><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>positive \u00d7 positive = positive<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">2 x 2 = 4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>negative \u00d7 negative = positive<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-3 x -2 = 6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>positive \u00d7 negative = negative<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">5 x -3 = -15<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>negative \u00d7 positive = negative<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-2 x 4 = -8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>positive <strong> \u00f7<\/strong> positive = positive<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">2 <strong> \u00f7<\/strong> 2 = 1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>negative<strong> \u00f7<\/strong> negative = positive<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-6 <strong> \u00f7<\/strong> -2 = 3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>positive <strong> \u00f7<\/strong> negative = negative<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">15 <strong> \u00f7<\/strong> -3 = -5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>negative <strong> \u00f7<\/strong> positive = negative<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-24 <strong> \u00f7<\/strong> 4 = -6<\/td><\/tr><\/tbody><\/table><\/figure>\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\" style=\"background-color:#edf9cf\"><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 2 \u00d7 3 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>2 is positive. 3 is positive. Use the rule:<\/p>\n\n\n\n<p>positive \u00d7 positive = positive<\/p>\n\n\n\n<p>So, 2 \u00d7 3 is positive.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>2 \u00d7 3 = 6<\/p>\n\n\n\n<p>Yes, the answer is positive.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#eaddfb\"><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 88 \u00f7&nbsp;<sup>\u2013<\/sup>11 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>88 is positive.&nbsp;<sup>\u2013<\/sup>11 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00f7 negative = negative<\/p>\n\n\n\n<p>So, 88 \u00f7&nbsp;<sup>\u2013<\/sup>11 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>88 \u00f7&nbsp;<sup>\u2013<\/sup>11 =&nbsp;<sup>\u2013<\/sup>8<\/p>\n\n\n\n<p>Yes, the answer is negative.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f9b8b8\"><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 60 \u00f7&nbsp;<sup>\u2013<\/sup>12 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>60 is positive.&nbsp;<sup>\u2013<\/sup>12 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00f7 negative = negative<\/p>\n\n\n\n<p>So, 60 \u00f7&nbsp;<sup>\u2013<\/sup>12 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>60 \u00f7&nbsp;<sup>\u2013<\/sup>12 =&nbsp;<sup>\u2013<\/sup>5<\/p>\n\n\n\n<p>Yes, the answer is negative.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Try some practice problems!<\/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\/76365\/498\/811\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-194.png\" alt=\"\" class=\"wp-image-7148\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-194.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-194-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-194-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-194-400x400.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\/76368\/326\/178\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-197.png\" alt=\"\" class=\"wp-image-7149\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-197.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-197-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-197-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-197-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Integer multiplication and division rules Key Notes: \ud83d\udd0d What Are Integers? \u2716\ufe0f \u2797 Rules for Multiplying and Dividing Integers \u2705 Sign Rules for Both Multiplication and Division Case Rule Example Result \ud83d\udc4d Positive \u00d7 Positive Result is Positive (+3) \u00d7 (+4) +12 \ud83d\udc4e Negative \u00d7 Negative Result is Positive (\u20135) \u00d7 (\u20136) +30 \ud83d\udc4d\ud83d\udc4e Positive<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/c-6-integer-multiplication-and-division-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.6 Integer multiplication and division 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-56","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/56","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=56"}],"version-history":[{"count":16,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/56\/revisions"}],"predecessor-version":[{"id":16654,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/56\/revisions\/16654"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=56"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}