{"id":269,"date":"2022-04-08T05:32:47","date_gmt":"2022-04-08T05:32:47","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=269"},"modified":"2025-04-07T10:08:03","modified_gmt":"2025-04-07T10:08:03","slug":"q-4-multiply-using-the-distributive-property","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/q-4-multiply-using-the-distributive-property\/","title":{"rendered":"Q.4 Multiply using the distributive property"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Multiply using the distributive property<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-28d136ae4331e7eb05ec8e1cb71ebcde\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-46c8572b4a7e716a0bd90bf2cc7074ce\" style=\"color:#00056d\"><strong>What is the Distributive Property?<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>The distributive property lets you <strong>multiply a number by a group of numbers added or subtracted together<\/strong>.<\/li>\n\n\n\n<li>It breaks down complex multiplication into simpler parts.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-1819ad04ef4e6b415d929475c0f521e2\" style=\"color:#00056d\"><strong>Formula:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>a\u00d7(b+c)=a\u00d7b+a\u00d7c<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-7b77d2417ec1bce939a4c2626da2a788\" style=\"color:#00056d\"><strong>Distribute Over Addition<\/strong><\/h4>\n\n\n\n<p class=\"has-large-font-size\">Example: <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>3\u00d7(4+5)=(3\u00d74)+(3\u00d75)=12+15=27<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-cbbf7f5e00b7dc61f68e94c3007f7002\" style=\"color:#00056d\"><strong>Distribute Over Subtraction<\/strong><\/h4>\n\n\n\n<p class=\"has-large-font-size\">Example: <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>6\u00d7(10\u22122)=(6\u00d710)\u2212(6\u00d72)=60\u221212=48<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-2e712608c375d2f2aafa0d1cbee44977\" style=\"color:#00056d\"><strong>Using the Property to Simplify Mental Math<\/strong><\/h4>\n\n\n\n<p class=\"has-large-font-size\">Example: <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>7\u00d713=7\u00d7(10+3)=(7\u00d710)+(7\u00d73)=70+21=91<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-f7fb58443c5071440577279ea64eabbc\" style=\"color:#00056d\"><strong>Distributive Property with Variables<\/strong><\/h4>\n\n\n\n<p class=\"has-large-font-size\">Example: <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>x \u00d7 (5+2) = x \u00d7 5 + x \u00d7<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c4b4d1844a1140b842dbcb8e0f774207\" style=\"color:#00056d\"><strong>Visualizing with Area Models<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Break rectangles into smaller parts.<\/li>\n\n\n\n<li>Multiply the area of each part.<\/li>\n\n\n\n<li>Add them together to find the total.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\">Example: To find 12\u00d74, split 12 into 10 and 2: <\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>(10+2)\u00d74=(10\u00d74)+(2\u00d74)=40+8=48<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-961cf54fbf67c69cbe878f2c4e4c16e9\" style=\"color:#00056d\"><strong>Why Use It?<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Makes large numbers easier to handle.<\/li>\n\n\n\n<li>Helps with mental math and algebra.<\/li>\n\n\n\n<li>Prepares students for algebraic expressions.<\/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-large-font-size\" style=\"background-color:#d0f5c9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-b0bb9d63e68f072511b946bb7555251a\" style=\"color:#b00012\"><strong>\u26f1\ufe0f Simplify the expression: 4(2 + 3w) =_____<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simplify.<\/li>\n\n\n\n<li>4(2 + 3w) = 4(2) + 4(3w) Apply the distributive property<\/li>\n\n\n\n<li>= 8 + 12w Simplify<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\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\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#bfc0ea\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-e124dfc186c4cf4d652646465df79a15\" style=\"color:#b00012\"><strong>\u26f1\ufe0f Simplify the expression: 2(y + 1) =_______<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simplify.<\/li>\n\n\n\n<li>2(y + 1) = 2(y) + 2(1) Apply the distributive property<\/li>\n\n\n\n<li>= 2y + 2 Simplify<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d9c2ea\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-1d971cbc88f977eaf6fa44c5e9641091\" style=\"color:#b00012\"><strong>\u26f1\ufe0f Simplify the expression: (3u + 3)(3) =____<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simplify.<\/li>\n\n\n\n<li>(3u + 3)(3) = 3u(3) + 3(3) Apply the distributive property<\/li>\n\n\n\n<li>= 9u + 9 Simplify<\/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\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\/84307\/554\/776\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-71.png\" alt=\"\" class=\"wp-image-5640\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-71.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-71-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-71-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-71-400x400.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\/89872\/829\/735\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-73.png\" alt=\"\" class=\"wp-image-5641\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-73.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-73-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-73-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-73-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply using the distributive property key notes : What is the Distributive Property? Formula: a\u00d7(b+c)=a\u00d7b+a\u00d7c Distribute Over Addition Example: 3\u00d7(4+5)=(3\u00d74)+(3\u00d75)=12+15=27 Distribute Over Subtraction Example: 6\u00d7(10\u22122)=(6\u00d710)\u2212(6\u00d72)=60\u221212=48 Using the Property to Simplify Mental Math Example: 7\u00d713=7\u00d7(10+3)=(7\u00d710)+(7\u00d73)=70+21=91 Distributive Property with Variables Example: x \u00d7 (5+2) = x \u00d7 5 + x \u00d7 Visualizing with Area Models Example: To<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/q-4-multiply-using-the-distributive-property\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Q.4 Multiply using the distributive property&#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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-269","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=269"}],"version-history":[{"count":11,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269\/revisions"}],"predecessor-version":[{"id":15642,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269\/revisions\/15642"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}