{"id":285,"date":"2022-04-08T05:37:46","date_gmt":"2022-04-08T05:37:46","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=285"},"modified":"2025-01-02T11:12:35","modified_gmt":"2025-01-02T11:12:35","slug":"r-2-solve-equations-using-properties","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/r-2-solve-equations-using-properties\/","title":{"rendered":"R.2 Solve equations using properties"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Solve equations 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<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Identity property: Adding zero does not change a number.<\/li>\n\n\n\n<li class=\"has-large-font-size\">Distributive property: You can multiply a sum by multiplying each addend separately. The distributive property works with subtraction, too.<\/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:#a8e5d7\"><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-link-color wp-elements-68471399268e144ad2ea4afbd6e3ae5a\" style=\"color:#b00012\"><strong>\ud83c\udfaf What value of&nbsp;c&nbsp;makes this addition number sentence true?<\/strong><\/p>\n\n\n\n<p>Hint: Use properties of addition.<\/p>\n\n\n\n<p>0 + 92&nbsp;=&nbsp;<em>c<\/em><\/p>\n\n\n\n<p><em>c<\/em>&nbsp;=&nbsp;________<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To find&nbsp;<em>c<\/em>, use properties of addition to make both sides of the equation look the same.<\/li>\n\n\n\n<li>The identity property says adding zero does not change a number.<br><strong>0+92<\/strong>&nbsp;=&nbsp;<em>c<\/em><br><strong>92<\/strong>&nbsp;=&nbsp;<em>c<\/em>   Apply the identity property<br>Now match up the two sides of the equation.<br><strong>92<\/strong>&nbsp;=&nbsp;<strong><em>c<\/em><\/strong><br>So,&nbsp;<em>c<\/em>&nbsp;= 92<\/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 has-background has-large-font-size\" style=\"background-color:#e1e0b5\"><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-link-color wp-elements-e2c9624de5cd98b69ae123f2c59aa942\" style=\"color:#b00012\"><strong>\ud83c\udfaf What value of&nbsp;<em>u<\/em>&nbsp;makes this multiplication number sentence true?<\/strong><\/p>\n\n\n\n<p>Hint: Use properties of multiplication.<\/p>\n\n\n\n<p>23 \u00b7&nbsp;(37 \u2212 30)&nbsp;=&nbsp;23 \u00b7 37 \u2212 23 \u00b7&nbsp;<em>u<\/em><\/p>\n\n\n\n<p><em>u<\/em>&nbsp;=&nbsp;_______<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To find&nbsp;<em>u<\/em>, use properties of multiplication to make both sides of the equation look the same.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The distributive property says you can multiply a sum or difference by multiplying each term separately.<\/li>\n\n\n\n<li><strong>23<\/strong>&nbsp;\u00b7&nbsp;<strong>(37&nbsp;\u2212&nbsp;30)<\/strong>&nbsp;=&nbsp;23 \u00b7 37 \u2212 23 \u00b7&nbsp;<em>u<\/em><\/li>\n\n\n\n<li><strong>23<\/strong>&nbsp;\u00b7&nbsp;<strong>37<\/strong>&nbsp;\u2212&nbsp;<strong>23<\/strong>&nbsp;\u00b7&nbsp;<strong>30<\/strong>&nbsp;=&nbsp;23 \u00b7 37 \u2212 23 \u00b7&nbsp;u Apply the distributive property<\/li>\n\n\n\n<li>Now match up the two sides of the equation.<\/li>\n\n\n\n<li>23 \u00b7 37 \u2212 23 \u00b7&nbsp;<strong>30<\/strong>&nbsp;=&nbsp;23 \u00b7 37 \u2212 23 \u00b7&nbsp;<strong><em>u<\/em><\/strong><\/li>\n\n\n\n<li>So,&nbsp;<em>u<\/em>&nbsp;= 30.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fbd9f3\"><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-link-color wp-elements-c3905f5dec80f1efb899b390b739d8d0\" style=\"color:#b00012\"><strong>\ud83c\udfaf What value of&nbsp;d&nbsp;makes this addition number sentence true?<\/strong><\/p>\n\n\n\n<p>Hint: Use properties of addition.<\/p>\n\n\n\n<p>93 +&nbsp;<em>d<\/em>&nbsp;=&nbsp;100 + 93<\/p>\n\n\n\n<p><em>d<\/em>&nbsp;=&nbsp;________<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To find&nbsp;<em>d<\/em>, use properties of addition to make both sides of the equation look the same.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The commutative property says you can add numbers in any order and get the same sum.<\/li>\n\n\n\n<li>93 +&nbsp;<em>d<\/em>&nbsp;=&nbsp;<strong>100<\/strong>&nbsp;+&nbsp;<strong>93<\/strong><\/li>\n\n\n\n<li>93 +&nbsp;<em>d<\/em>&nbsp;=&nbsp;<strong>93<\/strong>&nbsp;+&nbsp;<strong>100<\/strong><em> <\/em>Apply the commutative property<\/li>\n\n\n\n<li>Now match up the two sides of the equation.<\/li>\n\n\n\n<li>93 +&nbsp;<strong><em>d<\/em><\/strong>&nbsp;=&nbsp;93 +&nbsp;<strong>100<\/strong><\/li>\n\n\n\n<li>So,&nbsp;<em>d<\/em>&nbsp;= 100.<\/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\/84436\/479\/245\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-83.png\" alt=\"\" class=\"wp-image-5681\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-83.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-83-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-83-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-83-400x400.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\/33662\/109\/402\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-85.png\" alt=\"\" class=\"wp-image-5682\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-85.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-85-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-85-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-85-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve equations using properties Key Notes : Learn with an example \ud83c\udfaf What value of&nbsp;c&nbsp;makes this addition number sentence true? Hint: Use properties of addition. 0 + 92&nbsp;=&nbsp;c c&nbsp;=&nbsp;________ \ud83c\udfaf What value of&nbsp;u&nbsp;makes this multiplication number sentence true? Hint: Use properties of multiplication. 23 \u00b7&nbsp;(37 \u2212 30)&nbsp;=&nbsp;23 \u00b7 37 \u2212 23 \u00b7&nbsp;u u&nbsp;=&nbsp;_______ \ud83c\udfaf What<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/r-2-solve-equations-using-properties\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.2 Solve equations 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-285","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/285","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=285"}],"version-history":[{"count":7,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/285\/revisions"}],"predecessor-version":[{"id":15115,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/285\/revisions\/15115"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}