{"id":82,"date":"2022-04-12T12:02:56","date_gmt":"2022-04-12T12:02:56","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=82"},"modified":"2025-02-22T15:48:33","modified_gmt":"2025-02-22T15:48:33","slug":"e-7-apply-multiplication-and-division-rules","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/e-7-apply-multiplication-and-division-rules\/","title":{"rendered":"E.7 Apply 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>Apply multiplication and division rules<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ab8376a8ebfb22772ef7356f8b60e696\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c87262dcb0b645ebaedf7b868ba44396\" style=\"color:#000060\"><strong>Multiplication Rules<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Product of Positive and Negative Numbers<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>(+) \u00d7 (+) = (+)<\/li>\n\n\n\n<li>(-) \u00d7 (-) = (+)<\/li>\n\n\n\n<li>(+) \u00d7 (-) = (-)<\/li>\n\n\n\n<li>(-) \u00d7 (+) = (-)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-03ab3065e631984051011b5eac95677a\" style=\"color:#000060\"><strong>Multiplication of Fractions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Multiply numerators and multiply denominators.<\/li>\n\n\n\n<li>Simplify the fraction if needed.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-89cd75351023fe6c3960723b609bac8b\" style=\"color:#000060\"><strong>Multiplication of Decimals<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Multiply as whole numbers.<\/li>\n\n\n\n<li>Count total decimal places in both numbers and place the decimal in the product accordingly.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-6bfe54d7ae9208638b9e239409c3a4d0\" style=\"color:#000060\"><strong>Multiplication of Exponents (Same Base)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">a<sup>m <\/sup>\u00d7 a<sup>n<\/sup> = a<sup>m+n<\/sup><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-0e4ee5a05eed7d30d339a84d19051093\" style=\"color:#000060\"><strong>Division Rules<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Quotient of Positive and Negative Numbers<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>(+) \u00f7 (+) = (+)<\/li>\n\n\n\n<li>(-) \u00f7 (-) = (+)<\/li>\n\n\n\n<li>(+) \u00f7 (-) = (-)<\/li>\n\n\n\n<li>(-) \u00f7 (+) = (-)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-5ed48edbccd3b3cdb5574f8eee7064b6\" style=\"color:#000060\"><strong>Division of Fractions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Flip the divisor (reciprocal) and multiply.<\/li>\n\n\n\n<li>Simplify if necessary.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c0af30d9c48745cab52ceb1c7cb72ed7\" style=\"color:#000060\"><strong>Division of Decimals<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Move the decimal in the divisor to make it a whole number.<\/li>\n\n\n\n<li>Move the decimal in the dividend the same number of places.<\/li>\n\n\n\n<li>Divide as usual and place the decimal in the quotient.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-ad6a5998c532cedd9c32c33d40f97326\" style=\"color:#000060\"><strong>Division of Exponents (Same Base)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">a<sup>m<\/sup> \u00f7 a<sup>n<\/sup> = a<sup>m\u2212n<\/sup><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-236b2258eb4065fe287a089e5dafdd6d\" style=\"color:#000060\"><strong>Order of Operations (PEMDAS\/BODMAS)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Always follow the correct order when applying multiplication and division:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Parentheses, Exponents, Multiplication\/Division (from left to right), Addition\/Subtraction (from left to right).<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-2079e6bebf4fb6bf35cdaf22af14b1fa\" style=\"color:#000060\"><strong>Word Problems<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Identify whether to multiply or divide based on context.<\/li>\n\n\n\n<li>Use units and estimation to check answers.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-0556e28c1c7a0fb7ae60f85726de602c\" style=\"color:#105000\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-a211ca1c3bdbdff4e2377de08eec94d3\" style=\"background-color:#f8cef6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udd25The&nbsp;number line shows an unknown number,&nbsp;b.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Is&nbsp;3b&nbsp;positive or&nbsp;negative?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-11.png\" alt=\"\" class=\"wp-image-2727\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-11.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-11-300x60.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-11-768x154.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p><strong>Determine&nbsp;if&nbsp;<\/strong>b<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/p>\n\n\n\n<p>The&nbsp;unknown number&nbsp;b&nbsp;is to the left of 0. So,&nbsp;b&nbsp;is&nbsp;negative.<\/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__7_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-10874\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__7_-removebg-preview-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__7_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><strong>Determine&nbsp;if&nbsp;<\/strong>3b<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/p>\n\n\n\n<p>In&nbsp;the expression&nbsp;3b,&nbsp;3&nbsp;is positive and&nbsp;b&nbsp;is negative. The product of a positive number and a negative number is negative. So,&nbsp;3b&nbsp;is&nbsp;negative.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-5964089f45ed691d278983ebc4dc8ae6\" style=\"background-color:#dbf8b1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>\ud83d\udd25The&nbsp;number line shows an unknown number,&nbsp;v.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Is&nbsp;5v&nbsp;positive or&nbsp;negative?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-12.png\" alt=\"\" class=\"wp-image-2733\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-12.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-12-300x60.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-12-768x154.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p><strong>Determine&nbsp;if&nbsp;<\/strong>v<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/p>\n\n\n\n<p>The&nbsp;unknown number&nbsp;v&nbsp;is to the right of 0. So,&nbsp;v&nbsp;is&nbsp;positive.<\/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__6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-10873\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><strong>Determine&nbsp;if&nbsp;<\/strong>5v<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/p>\n\n\n\n<p>In&nbsp;the expression&nbsp;5v,&nbsp;5&nbsp;is positive and&nbsp;v&nbsp;is positive. The product of two positive numbers is positive. So,&nbsp;5v&nbsp;is&nbsp;positive.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-b310043a18aff5c14205bab9a5767196\" style=\"background-color:#fbd9f9\"><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-234714dac3750e57bb4b1adc1264b187\" style=\"color:#b00012\"><strong>The number line shows an unknown number, z.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-dc74e4ba0ed04375baf5e0ed5e75b7ab\" style=\"color:#b00012\"><strong>Is&nbsp;3z&nbsp;positive or&nbsp;negative?<\/strong><\/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-5-2.png\" alt=\"\" class=\"wp-image-10868\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-5-2.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-5-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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>Determine if z is positive or negative.<\/p>\n\n\n\n<p>The unknown number z is to the left of 0. So, z is negative.<\/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__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-10869\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__5_-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__5_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p><strong>Determine if 3z is positive or negative.<\/strong><\/p>\n\n\n\n<p>In the expression 3z, 3 is positive and z is negative. The product of a positive number and a negative number is negative. So, 3z 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\/80682\/679\/453\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-290.png\" alt=\"\" class=\"wp-image-9551\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-290.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-290-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-290-150x150.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\/85126\/909\/726\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-297.png\" alt=\"\" class=\"wp-image-9552\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-297.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-297-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-297-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Apply multiplication and division rules Key notes: Multiplication Rules Product of Positive and Negative Numbers Multiplication of Fractions Multiplication of Decimals Multiplication of Exponents (Same Base) Division Rules Quotient of Positive and Negative Numbers Division of Fractions Division of Decimals Division of Exponents (Same Base) Order of Operations (PEMDAS\/BODMAS) Parentheses, Exponents, Multiplication\/Division (from left to<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/e-7-apply-multiplication-and-division-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.7 Apply 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-82","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\/82","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=82"}],"version-history":[{"count":31,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/82\/revisions"}],"predecessor-version":[{"id":19913,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/82\/revisions\/19913"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}