{"id":271,"date":"2022-04-08T05:33:11","date_gmt":"2022-04-08T05:33:11","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=271"},"modified":"2025-04-07T10:08:32","modified_gmt":"2025-04-07T10:08:32","slug":"q-5-write-equivalent-expressions-using-properties","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/q-5-write-equivalent-expressions-using-properties\/","title":{"rendered":"Q.5 Write equivalent expressions using properties"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Write equivalent expressions using properties<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">You&nbsp;can use properties of operations to write equivalent expressions. Here are some common&nbsp;properties:<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1674283031760_1483\" class=\"wp-block-table has-large-font-size\"><table><tbody><tr><td>Commutative&nbsp;property of&nbsp;addition<\/td><td>a+b=b+a<\/td><\/tr><tr><td>Commutative&nbsp;property of&nbsp;multiplication<\/td><td>ab=ba<\/td><\/tr><tr><td>Associative&nbsp;property of&nbsp;addition<\/td><td>(a+b)+c=a+(b+c)<\/td><\/tr><tr><td>Associative&nbsp;property of&nbsp;multiplication<\/td><td>(ab)c=a(bc)<\/td><\/tr><tr><td>Distributive&nbsp;property<\/td><td>a(b+c)=ab+ac<\/td><\/tr><\/tbody><\/table><\/figure>\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:#d7f4c4\"><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 class=\"has-primary-color has-text-color has-link-color wp-elements-48dc81bef5ea353e6d5827a56092183f\">\ud83c\udf88 Complete the expressions.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-29a75a05896f49f0f863d5dd8c385fb4\" style=\"color:#b00012\"><strong>\ud83c\udf88Write each answer as a number, a variable, or the product of a number and a variable.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>4 + 6 w + 8<\/td><td><\/td><\/tr><tr><td>= ________ + 4 + 8<\/td><td>Commutative property of addition<\/td><\/tr><tr><td>= 6w + ________<\/td><td>Add<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the first two&nbsp;expressions. <\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>4 + 6w + 8<\/td><td><\/td><\/tr><tr><td>= ? + 4 + 8<\/td><td>Commutative property of addition<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Changing the order of addends does not change the sum. These expressions are equivalent if the missing term is 6w.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>4 + 6w + 8<\/td><td><\/td><\/tr><tr><td>= 6w + 4 + 8<\/td><td>Commutative property of addition<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the last two&nbsp;expressions.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>6w + 4 + 8<\/td><td><\/td><\/tr><tr><td>= 6w + ?<\/td><td>Add<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>These&nbsp;expressions are equivalent if the missing term is&nbsp;<strong>12<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>6w + 4 + 8<\/td><td><\/td><\/tr><tr><td>= 6w + 12<\/td><td>Add<\/td><\/tr><\/tbody><\/table><\/figure>\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\"><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:#efcbcb\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-background\">\u2708\ufe0f Complete the expressions.<\/p>\n\n\n\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-228017602a8c0e490b924a7124158d4e\" style=\"color:#b00012\"><strong>\u2708\ufe0f Write each answer as a number, a variable, or the product of a number and a variable.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>9s . 2<\/td><td><\/td><\/tr><tr><td>= 2. _____<\/td><td>Commutative property of multiplication<\/td><\/tr><tr><td>= _______<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n<p>Look&nbsp;at the first two&nbsp;expressions. <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>9s . 2<\/td><td><\/td><\/tr><tr><td>= 2. ?<\/td><td>Commutative property of multiplication<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Changing the order of factors does not change the product. These expressions are equivalent if the missing term is 9s.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>9s . 2<\/td><td><\/td><\/tr><tr><td>= 2. 9s<\/td><td>Commutative property of multiplication<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Look&nbsp;at the last two&nbsp;expressions. <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>2 . 9s<\/td><td><\/td><\/tr><tr><td>?<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>These&nbsp;expressions are equivalent if the missing term is&nbsp;<strong>18s.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>2 . 9s<\/td><td><\/td><\/tr><tr><td>= 18s<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n<\/div><\/div>\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:#bbc0ed\"><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>\u2708\ufe0fComplete the expressions.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-419ee84640e6990e4c780a1d16642451\" style=\"color:#b00012\"><strong>\u2708\ufe0fWrite each answer as a number, a variable, or the product of a number and a variable.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>7q . 4<\/td><td><\/td><\/tr><tr><td>= 4 .________<\/td><td>Commutative property of multiplication<\/td><\/tr><tr><td>=_________<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n<p>Look at the first two expressions.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>7q . 4<\/td><td><\/td><\/tr><tr><td>= 4 . ?<\/td><td>Commutative property of multiplication<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Changing the order of factors does not change the product. These expressions are equivalent if the missing term is 7q.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>7q . 4<\/td><td><\/td><\/tr><tr><td>= 4 .7q<\/td><td>Commutative property of multiplication<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Look&nbsp;at the last two&nbsp;expressions.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>4 .7q<\/td><td><\/td><\/tr><tr><td>= ?<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>These expressions are equivalent if the missing term is 28q.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>4 .7q<\/td><td><\/td><\/tr><tr><td>28q<\/td><td>Multiply<\/td><\/tr><\/tbody><\/table><\/figure>\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\/985\/521\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-70.png\" alt=\"\" class=\"wp-image-5637\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-70.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-70-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-70-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-70-400x400.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\/89889\/094\/386\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-72.png\" alt=\"\" class=\"wp-image-5638\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-72.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-72-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-72-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-72-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write equivalent expressions using properties Key Notes : You&nbsp;can use properties of operations to write equivalent expressions. Here are some common&nbsp;properties: Commutative&nbsp;property of&nbsp;addition a+b=b+a Commutative&nbsp;property of&nbsp;multiplication ab=ba Associative&nbsp;property of&nbsp;addition (a+b)+c=a+(b+c) Associative&nbsp;property of&nbsp;multiplication (ab)c=a(bc) Distributive&nbsp;property a(b+c)=ab+ac Learn with an example \ud83c\udf88 Complete the expressions. \ud83c\udf88Write each answer as a number, a variable, or the product of<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/q-5-write-equivalent-expressions-using-properties\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Q.5 Write equivalent expressions using properties&#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-271","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/271","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=271"}],"version-history":[{"count":13,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/271\/revisions"}],"predecessor-version":[{"id":15643,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/271\/revisions\/15643"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}