{"id":174,"date":"2022-04-12T09:46:22","date_gmt":"2022-04-12T09:46:22","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=174"},"modified":"2025-12-03T11:55:43","modified_gmt":"2025-12-03T11:55:43","slug":"h-8-apply-multiplication-and-division-rules","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/h-8-apply-multiplication-and-division-rules\/","title":{"rendered":"H.8 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-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u2716\ufe0f <strong>Multiplication Rules<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd22 <strong>Multiply the numbers normally<\/strong> \u2192 then place the decimal if needed.<\/li>\n\n\n\n<li>\u2795 <strong>Positive \u00d7 Positive = Positive<\/strong> \ud83d\ude42<\/li>\n\n\n\n<li>\u2796 <strong>Negative \u00d7 Negative = Positive<\/strong> \ud83d\ude0e<\/li>\n\n\n\n<li>\u2795\u2796 <strong>Positive \u00d7 Negative = Negative<\/strong> \ud83d\ude41<\/li>\n\n\n\n<li>\ud83d\udd01 <strong>Order doesn\u2019t matter<\/strong> (Commutative Law):<br><strong>a \u00d7 b = b \u00d7 a<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u2797 <strong>Division Rules<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd22 <strong>Divide the numbers normally<\/strong>, then place the decimal correctly.<\/li>\n\n\n\n<li>\u2795 <strong>Positive \u00f7 Positive = Positive<\/strong> \ud83d\ude42<\/li>\n\n\n\n<li>\u2796 <strong>Negative \u00f7 Negative = Positive<\/strong> \ud83d\ude0e<\/li>\n\n\n\n<li>\u2795\u2796 <strong>Positive \u00f7 Negative = Negative<\/strong> \ud83d\ude41<\/li>\n\n\n\n<li>\u26a0\ufe0f <strong>Never divide by zero (0)<\/strong> \u2192 \u274c not possible!<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udccf <strong>Zero Rules<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd25 <strong>Any number \u00d7 0 = 0<\/strong><\/li>\n\n\n\n<li>\u2797 <strong>0 \u00f7 any number \u2260 0<\/strong> (it = 0)<br>Example: 0 \u00f7 5 = 0<\/li>\n\n\n\n<li>\u274c <strong>Division by 0 = not defined<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd04 <strong>Rules for Large Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2733\ufe0f Use <strong>factoring<\/strong> to simplify big multiplications\/divisions.<br>Example:<br>20 \u00d7 15 = (2 \u00d7 10) \u00d7 (3 \u00d7 5)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udcd0 <strong>Rules with Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2716\ufe0f <strong>Multiply fractions:<\/strong><br>Multiply <strong>top \u00d7 top<\/strong> and <strong>bottom \u00d7 bottom<\/strong>.<br>Example: 2\/3 \u00d7 4\/5 = 8\/15<\/li>\n\n\n\n<li>\u2797 <strong>Divide fractions:<\/strong><br><strong>Flip<\/strong> the second fraction (reciprocal) and multiply. \ud83d\udd04<br>Example: 3\/4 \u00f7 2\/5 = 3\/4 \u00d7 5\/2<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Rules with Integers<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd39 Same signs \u2192 <strong>positive<\/strong> result \ud83d\ude42<\/li>\n\n\n\n<li>\ud83d\udd39 Different signs \u2192 <strong>negative<\/strong> result \ud83d\ude43<\/li>\n\n\n\n<li>\ud83d\udd39 Use a <strong>number line<\/strong> to visualize if needed.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udca1 <strong>Estimation Rules<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83e\uddee Round numbers to make calculations easier:<br>Example: 198 \u00d7 5 \u2248 200 \u00d7 5 = 1000<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Word Problem Tips<\/strong><\/h3>\n\n\n\n<p>\ud83d\udccc Identify <strong>operation<\/strong> (\u00d7 or \u00f7) from keywords:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u201cEach,\u201d \u201cEvery,\u201d \u201cTimes\u201d \u2192 <strong>Multiply<\/strong> \u2716\ufe0f<\/li>\n\n\n\n<li>\u201cShare,\u201d \u201cPer,\u201d \u201cSplit\u201d \u2192 <strong>Divide<\/strong> \u2797<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udcdd Write the equation before solving.<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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:#d3f8f2\"><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>\ud83c\udf88 The&nbsp;number line shows an unknown number,&nbsp;a.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview.png\" alt=\"\" class=\"wp-image-3396\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Is&nbsp;4a&nbsp;positive or&nbsp;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<ul class=\"wp-block-list\">\n<li><strong>Determine if a is positive or negative.<\/strong><\/li>\n\n\n\n<li>The unknown number a is to the left of 0. So, a is negative.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3397\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-1.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-1-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__3_-removebg-preview-1-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Determine if 4a is positive or negative.<\/strong><\/li>\n\n\n\n<li>In the expression 4a, 4 is positive and a is negative. The product of a positive number and a negative number is negative. So, 4a is negative.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f7deee\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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>\ud83c\udf88 The&nbsp;number line shows an unknown number,&nbsp;q.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-3405\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Is&nbsp;2q&nbsp;positive or&nbsp;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<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Determine&nbsp;if&nbsp;<\/strong>q<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/li>\n\n\n\n<li>The&nbsp;unknown number&nbsp;q&nbsp;is to the right of 0. So,&nbsp;q&nbsp;is&nbsp;positive.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3406\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-1.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-1-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__4_-removebg-preview-1-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Determine&nbsp;if&nbsp;<\/strong>2q<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/li>\n\n\n\n<li>In&nbsp;the expression&nbsp;2q,&nbsp;2&nbsp;is positive and&nbsp;q&nbsp;is positive. The product of two positive numbers is positive. So,&nbsp;2q&nbsp;is&nbsp;positive.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#dbf6df\"><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>\ud83c\udf88 The&nbsp;number line shows an unknown number,&nbsp;b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-3409\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\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<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<ul class=\"wp-block-list\">\n<li><strong>Determine&nbsp;if&nbsp;<\/strong>b<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/li>\n\n\n\n<li>The&nbsp;unknown number&nbsp;b&nbsp;is to the right of 0. So,&nbsp;b&nbsp;is&nbsp;positive.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3411\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-1.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-1-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__5_-removebg-preview-1-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Determine&nbsp;if&nbsp;<\/strong>3b<strong>&nbsp;is positive or&nbsp;negative.<\/strong><\/li>\n\n\n\n<li>In&nbsp;the expression&nbsp;3b,&nbsp;3&nbsp;is positive and&nbsp;b&nbsp;is positive. The product of two positive numbers is positive. So,&nbsp;3b&nbsp;is&nbsp;positive.<\/li>\n<\/ul>\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<\/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\/80682\/679\/268\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-273.png\" alt=\"\" class=\"wp-image-7432\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-273.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-273-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-273-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-273-400x400.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\/81277\/414\/701\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-281.png\" alt=\"\" class=\"wp-image-7433\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-281.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-281-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-281-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-281-400x400.png 400w\" 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: \u2716\ufe0f Multiplication Rules \u2797 Division Rules \ud83d\udccf Zero Rules \ud83d\udd04 Rules for Large Numbers \ud83d\udcd0 Rules with Fractions \ud83d\udd22 Rules with Integers \ud83d\udca1 Estimation Rules \ud83c\udfaf Word Problem Tips \ud83d\udccc Identify operation (\u00d7 or \u00f7) from keywords: \ud83d\udcdd Write the equation before solving. Learn with an example \ud83c\udf88<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/h-8-apply-multiplication-and-division-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.8 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,"footnotes":""},"class_list":["post-174","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/174","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=174"}],"version-history":[{"count":17,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/174\/revisions"}],"predecessor-version":[{"id":17632,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/174\/revisions\/17632"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}