{"id":46,"date":"2022-04-12T11:57:03","date_gmt":"2022-04-12T11:57:03","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=46"},"modified":"2025-11-19T06:52:41","modified_gmt":"2025-11-19T06:52:41","slug":"c-6-integer-multiplication-and-division-rules","status":"publish","type":"page","link":"https:\/\/8thclass.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 has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Integer multiplication and division 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\/DAGwr8PX1Tc\/DLKAEzgZu5DmnoL9n1St4Q\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwr8PX1Tc&#x2F;DLKAEzgZu5DmnoL9n1St4Q&#x2F;watch?utm_content=DAGwr8PX1Tc&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">integer multiplication and division rules<\/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-c94a149b099fb3f23f355c7448aa9d47\" style=\"color:#74008b\"><strong>key notes:<\/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><strong>\ud83d\udd39  What are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integers are <strong>whole numbers and their negatives<\/strong>.<\/li>\n\n\n\n<li><strong>Example<\/strong>: \u2026 -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 \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><strong><strong>\ud83d\udd39 Multiplication of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 1<\/strong>: (+) \u00d7 (+) = (+)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Positive \u00d7 Positive = Positive<\/li>\n\n\n\n<li>\ud83d\udc49 <strong>Example: <\/strong>3 \u00d7 4 = 12<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 2<\/strong>: (-) \u00d7 (-) = (+)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Negative \u00d7 Negative = Positive<\/li>\n\n\n\n<li>\ud83d\udc49<strong> Example<\/strong>: (-5) \u00d7 (-2) = 10<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 3<\/strong>: (+) \u00d7 (-) = (-)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Positive \u00d7 Negative = Negative<\/li>\n\n\n\n<li>\ud83d\udc49<strong> Example<\/strong>: 7 \u00d7 (-3) = -21<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 4<\/strong>: (-) \u00d7 (+) = (-)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Negative \u00d7 Positive = Negative<\/li>\n\n\n\n<li>\ud83d\udc49<strong> Example<\/strong>: (-6) \u00d7 8 = -48<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udccc <strong>Shortcut:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the signs are <strong>same \u2192 result is positive<\/strong>.<\/li>\n\n\n\n<li>If the signs are <strong>different \u2192 result is negative<\/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><strong><strong>\ud83d\udd39 Division of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 1<\/strong>: (+) \u00f7 (+) = (+)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udc49 <strong>Example<\/strong>: 12 \u00f7 3 = 4<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 2:<\/strong> (-) \u00f7 (-) = (+)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udc49 <strong>Example<\/strong>: (-16) \u00f7 (-4) = 4<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 3:<\/strong> (+) \u00f7 (-) = (-)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\ud83d\udc49 Example<\/strong>: 20 \u00f7 (-5) = -4<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Rule 4<\/strong>: (-) \u00f7 (+) = (-)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udc49 <strong>Example<\/strong>: (-35) \u00f7 7 = -5<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udccc <strong>Shortcut:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Same signs \u2192 Quotient is Positive<\/strong><\/li>\n\n\n\n<li><strong>Different signs \u2192 Quotient is Negative<\/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><strong><strong>\ud83d\udd39 Special Cases<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 \u00d7 any integer = 0<\/li>\n\n\n\n<li>0 \u00f7 any non-zero integer = 0<\/li>\n\n\n\n<li>Division by 0 is <strong>not defined<\/strong> \u274c<\/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><strong>\ud83d\udd39 Quick Examples<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(-7) \u00d7 (-9) = +63<\/li>\n\n\n\n<li>(-56) \u00f7 (-7) = +8<\/li>\n\n\n\n<li>(-12) \u00f7 3 = -4<\/li>\n\n\n\n<li>8 \u00d7 (-5) = -40<\/li>\n\n\n\n<li>0 \u00f7 9 = 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><strong><strong>\ud83d\udd39 Practice Questions<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>25 \u00d7 (-4) = ?<\/li>\n\n\n\n<li>(-6) \u00d7 (-7) = ?<\/li>\n\n\n\n<li>(-81) \u00f7 9 = ?<\/li>\n\n\n\n<li>(-72) \u00f7 (-8) = ?<\/li>\n\n\n\n<li>0 \u00d7 (-15) = ?<\/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><strong>\u2705 <strong>Summary:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Same signs \u2192 Positive<\/strong><\/li>\n\n\n\n<li><strong>Different signs \u2192 Negative<\/strong><\/li>\n\n\n\n<li><strong>Zero rule<\/strong>: Multiplying with 0 gives 0; division by 0 is not possible.<\/li>\n<\/ul>\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:#a79af1\"><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-04379371596b6019a8b116ae546c7592\" style=\"color:#b00012\">\u27a1\ufe0f Is 7 \u00d7&nbsp;-10 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>7 is positive.&nbsp;-10 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00d7 negative = negative<\/p>\n\n\n\n<p>So, 7 \u00d7&nbsp;-10 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>7 \u00d7&nbsp;-10 =&nbsp;-70<\/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 has-normal-font-size\" style=\"background-color:#f18e9d\"><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-646fa7a1eaae8414dc0cda6df19ee5ef\" style=\"color:#b00012\">\u27a1\ufe0f Is&nbsp;-27 \u00f7 3 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>-27 is negative. 3 is positive. Use the rule:<\/p>\n\n\n\n<p>negative \u00f7 positive = negative<\/p>\n\n\n\n<p>So,&nbsp;-27 \u00f7 3 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>-27 \u00f7 3 =&nbsp;-9<\/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 has-normal-font-size\" style=\"background-color:#93d3eb\"><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-85e91ed86786ce1b251bd62b17d5858d\" style=\"color:#b00012\">\u27a1\ufe0f Is 2 \u00d7&nbsp;-3 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>2 is positive.&nbsp;-3 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00d7 negative = negative<\/p>\n\n\n\n<p>So, 2 \u00d7&nbsp;-3 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>2 \u00d7&nbsp;-3 =&nbsp;-6<\/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\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong> <\/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\/96219\/016\/439\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-229.png\" alt=\"\" class=\"wp-image-9334\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-229.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-229-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-229-150x150.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\/33811\/667\/176\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-235.png\" alt=\"\" class=\"wp-image-9335\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-235.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-235-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-235-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Integer multiplication and division rules integer multiplication and division rules by Delta publications key notes: \ud83d\udd39 What are Integers? \ud83d\udd39 Multiplication of Integers Rule 1: (+) \u00d7 (+) = (+) Rule 2: (-) \u00d7 (-) = (+) Rule 3: (+) \u00d7 (-) = (-) Rule 4: (-) \u00d7 (+) = (-) \ud83d\udccc Shortcut: \ud83d\udd39 Division<a class=\"more-link\" href=\"https:\/\/8thclass.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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-46","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\/46","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=46"}],"version-history":[{"count":23,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":21361,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions\/21361"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}