{"id":53,"date":"2022-04-12T05:56:11","date_gmt":"2022-04-12T05:56:11","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=53"},"modified":"2025-10-16T05:27:59","modified_gmt":"2025-10-16T05:27:59","slug":"c-6-properties-of-multiplication","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/c-6-properties-of-multiplication\/","title":{"rendered":"C.6 Properties of multiplication"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Properties of multiplication<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.6-Properties-of-multiplication.mp4\"><\/video><\/figure>\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<p class=\"has-text-color has-link-color has-large-font-size wp-elements-d29642863dd4090183fc8928dd972eb3\" style=\"color:#000060\"><strong>Commutative Property<\/strong><\/p>\n\n\n\n<p><strong>Definition:<\/strong> The order of the numbers does not change the product.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6\u00d74=24<\/li>\n\n\n\n<li>4\u00d76=24<\/li>\n\n\n\n<li>\u2705 Both are equal.<\/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-text-color has-link-color wp-elements-664c493aa14de384797bfca8045a3660\" style=\"color:#000060\"><strong>Associative Property<\/strong><\/h3>\n\n\n\n<p><strong>Definition:<\/strong> When multiplying three or more numbers, the grouping does not change the product.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(2\u00d73)\u00d74=6\u00d74=24<\/li>\n\n\n\n<li>2\u00d7(3\u00d74)=2\u00d712=24<\/li>\n\n\n\n<li>\u2705 Both are equal.<\/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-text-color has-link-color wp-elements-09b78f2aeeae44cf70f9a0700946865c\" style=\"color:#000060\"><strong>Identity Property<\/strong><\/h3>\n\n\n\n<p><strong>Definition:<\/strong> Any number multiplied by 1 remains the same.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9\u00d71=9<\/li>\n\n\n\n<li>1\u00d79=9<\/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-text-color has-link-color wp-elements-1f213fcdbd8145a78d6614a26fd4af5d\" style=\"color:#000060\"><strong>Zero Property<\/strong><\/h3>\n\n\n\n<p><strong>Definition:<\/strong> Any number multiplied by 0 is always 0.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>45\u00d70=0<\/li>\n\n\n\n<li>0\u00d799=0<\/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-text-color has-link-color wp-elements-bca70cb1d7135cb715569f344355b30d\" style=\"color:#000060\"><strong>Distributive Property<\/strong><\/h3>\n\n\n\n<p><strong>Definition:<\/strong> Multiplication can be distributed over addition or subtraction.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5\u00d7(3+2)=(5\u00d73)+(5\u00d72)<\/li>\n\n\n\n<li>5\u00d75=15+10=25<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c1f193bb0d7104c7e6d09165cc0fd350\" style=\"color:#000060\">\u2705 Summary<\/h2>\n\n\n\n<p class=\"has-normal-font-size\">Multiply over <strong>addition\/subtraction<\/strong> \u2192 Break and multiply (Distributive)<\/p>\n\n\n\n<p>Changing <strong>order<\/strong> \u2192 Same answer (Commutative)<\/p>\n\n\n\n<p>Changing <strong>grouping<\/strong> \u2192 Same answer (Associative)<\/p>\n\n\n\n<p>Multiply by <strong>1<\/strong> \u2192 Same number (Identity)<\/p>\n\n\n\n<p>Multiply by <strong>0<\/strong> \u2192 Always <strong>0<\/strong> (Zero)<\/p>\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-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#f8c1c1\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\"><strong>\ud83c\udfaf Which equation shows the commutative property of multiplication?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 \u00d7 8 + 7 \u00d7 5 = 7 \u00d7&nbsp;(8 + 5)<\/li>\n\n\n\n<li>6 \u00d7 1 = 1 \u00d7 6<\/li>\n\n\n\n<li>5 + 5 + 5 + 5 = 5 \u00d7 4<\/li>\n\n\n\n<li>0 \u00d7 3 = 0<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00d7 1 = 1 \u00d7 6<\/li>\n\n\n\n<li>This equation shows the commutative property. The order of the factors is changed.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#bff8e6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\"><strong>\ud83c\udfaf Which equation shows the zero property of multiplication?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>8 \u00d7&nbsp;(1 \u00d7 7)&nbsp;=&nbsp;(8 \u00d7 1)&nbsp;\u00d7 7<\/li>\n\n\n\n<li>0 = 0 \u00d7 6<\/li>\n\n\n\n<li>(2 \u00d7 6)&nbsp;\u00d7 1 = 2 \u00d7&nbsp;(6 \u00d7 1)<\/li>\n\n\n\n<li>5 \u00d7 1 = 5<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 = 0 \u00d7 6<\/li>\n\n\n\n<li>This equation shows the zero property. 0 times any number is always 0.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#b9c5fb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\"><strong>\ud83c\udfaf Which property of multiplication is shown?<\/strong><\/p>\n\n\n\n<p>\ud83c\udfaf 9 \u00d7 5 = 5 \u00d7 9<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>associative<\/li>\n\n\n\n<li>commutative<\/li>\n\n\n\n<li>distributive<\/li>\n\n\n\n<li>zero<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 \u00d7 5 = 5 \u00d7 9<\/li>\n\n\n\n<li>This equation shows the commutative property. The order of the factors is changed.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/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\/76373\/330\/715\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-105.png\" alt=\"\" class=\"wp-image-5928\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-105.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-105-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-105-150x150.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\/33608\/629\/417\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-107.png\" alt=\"\" class=\"wp-image-5929\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-107.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-107-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-107-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Properties of multiplication key notes : Commutative Property Definition: The order of the numbers does not change the product. Example: Associative Property Definition: When multiplying three or more numbers, the grouping does not change the product. Example: Identity Property Definition: Any number multiplied by 1 remains the same. Example: Zero Property Definition: Any number multiplied<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/c-6-properties-of-multiplication\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.6 Properties of multiplication&#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-53","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/53","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=53"}],"version-history":[{"count":22,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions"}],"predecessor-version":[{"id":16230,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions\/16230"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}