{"id":36,"date":"2022-04-12T04:35:40","date_gmt":"2022-04-12T04:35:40","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=36"},"modified":"2025-09-06T05:20:45","modified_gmt":"2025-09-06T05:20:45","slug":"b-4-properties-of-addition","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/b-4-properties-of-addition\/","title":{"rendered":"B.4 Properties of addition"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-link-color has-huge-font-size wp-elements-52f7880d14373a6620e9a0c77f67d716\" style=\"color:#00056d;text-transform:uppercase\"><strong>Properties of addition<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwhSl8rjE\/e1ESDWRsXoCF9TcZYnraxw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwhSl8rjE&#x2F;e1ESDWRsXoCF9TcZYnraxw&#x2F;watch?utm_content=DAGwhSl8rjE&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">B.4 Properties Of Addition<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-d8d90926adfaafde2192b66c5d83431c\" style=\"color:#74008b\">key notes:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83e\udde8<strong> Properties of Addition<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-normal-font-size\"><strong>Commutative Property<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Changing the order of the numbers being added does not change the sum.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: a+b=b+a<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 4+9=9+4 \u2192 Both equal 13.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Associative Property<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Changing the grouping of numbers being added does not change the sum.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: (a+b)+c=a+(b+c)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: (2+3)+4=2+(3+4) \u2192 Both equal 9.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Identity Property (Additive Identity)<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: The sum of any number and zero is the number itself.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: a+0=a<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 7+0=7<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Distributive Property<\/strong><em>(Related to Addition and Multiplication)<\/em><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: a\u00d7(b+c)=(a\u00d7b)+(a\u00d7c)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 3\u00d7(2+4)=(3\u00d72)+(3\u00d74) \u2192 Both equal 18.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf87<strong> Properties of Subtraction<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Non-Commutative Property<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: The order of numbers in subtraction matters; changing the order changes the result.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 9\u22125 is not the same as 5\u22129.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Explanation<\/strong>: 9\u22125=4, but 5\u22129 would result in \u22124, which is different.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Non-Associative Property<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Changing the grouping of numbers in subtraction will change the result.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: (10\u22125)\u22122 is not the same as 10\u2212(5\u22122).<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Explanation<\/strong>: (10\u22125)\u22122=3, while 10\u2212(5\u22122)=7.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Identity Property of Subtraction<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Subtracting zero from any number leaves the number unchanged.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: a\u22120=a<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 8\u22120=8<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Subtraction as the Inverse of Addition<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Subtraction is the opposite of addition. If you add a number and then subtract the same number, you return to the original number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula<\/strong>: a+b\u2212b=a<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 15+5\u22125=15<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#febbbb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Commutative property:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\">&nbsp;h&nbsp;+&nbsp;j&nbsp;=&nbsp;j&nbsp;+&nbsp;h<br>You can add numbers in any order and get the same sum.<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Ex:  2 + 6 = 6 + 2<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#bdfff1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Associative property:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\">(f&nbsp;+&nbsp;g) +&nbsp;h&nbsp;=&nbsp;f&nbsp;+ (g&nbsp;+&nbsp;h)<br>You can group the addends with brackets and get the same sum.<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Ex: 6 +&nbsp;(9 + 7)&nbsp;=&nbsp;(6 + 9)&nbsp;+ 7<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#a1c5f7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Identity property:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">&nbsp;t&nbsp;= 0 +&nbsp;t<br>Adding zero does not change a number.<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\"><strong>Ex : 2 = 2 + 0<\/strong><\/p>\n<\/div><\/div>\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-normal-font-size\" style=\"background-color:#e2f6d7\"><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 class=\"has-text-color has-link-color wp-elements-f7e6a02b2f0c05d48936e55fbd3a7fbb\" style=\"color:#b00012\">\u25b6\ufe0f Which equation shows the commutative property of addition?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 + 1 = 1 + 7<\/li>\n\n\n\n<li>7 = 1 + 6<\/li>\n\n\n\n<li>8 +&nbsp;(5 + 1)&nbsp;=&nbsp;(8 + 5)&nbsp;+ 1<\/li>\n\n\n\n<li>8 + 5 + 2 = 15<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 + 1 = 1 + 7<\/li>\n\n\n\n<li>This equation shows the commutative property. The order of the addends is changed.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#e5d9f9\"><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 class=\"has-text-color has-link-color wp-elements-f7e6a02b2f0c05d48936e55fbd3a7fbb\" style=\"color:#b00012\">\u25b6\ufe0f Which equation shows the commutative property of addition?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 +&nbsp;(6 + 3)&nbsp;=&nbsp;(7 + 6)&nbsp;+ 3<\/li>\n\n\n\n<li>5 + 1 = 1 + 5<\/li>\n\n\n\n<li>2 + 7 = 6 + 3<\/li>\n\n\n\n<li>9 = 0 + 9<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 + 1 = 1 + 5<\/li>\n\n\n\n<li>This equation shows the commutative property. The order of the addends is changed..<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d8f9d0\"><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 class=\"has-text-color has-link-color wp-elements-3cb02bdc2d1160ff518feb04bb48ceab\" style=\"color:#b00012\">\u25b6\ufe0f Which property of addition is shown?<\/p>\n\n\n\n<p>0 + 3 = 3<\/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>identity<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 + 3 = 3<\/li>\n\n\n\n<li>This equation shows the identity property. Adding zero does not change the sum.<\/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!<\/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\/76058\/379\/339\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-59.png\" alt=\"\" class=\"wp-image-6355\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-59.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-59-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-59-150x150.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\/30309\/502\/503\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-59.png\" alt=\"\" class=\"wp-image-6356\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-59.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-59-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-59-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Properties of addition B.4 Properties Of Addition by Delta publications key notes: \ud83e\udde8 Properties of Addition Commutative Property Definition: Changing the order of the numbers being added does not change the sum. Associative Property Definition: Changing the grouping of numbers being added does not change the sum. Identity Property (Additive Identity) Definition: The sum of<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/b-4-properties-of-addition\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.4 Properties of addition&#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-36","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=36"}],"version-history":[{"count":23,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":15876,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions\/15876"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}