{"id":1267,"date":"2022-04-18T08:26:50","date_gmt":"2022-04-18T08:26:50","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1267"},"modified":"2023-06-15T13:41:11","modified_gmt":"2023-06-15T13:41:11","slug":"commutative-property-of-addition-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition","title":{"rendered":"Commutative Property of Addition \u2013 Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-3885ed45-921d-4840-9b61-26329c4f0e1e\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition#0-what-is-commutative-property-of-addition>What is Commutative Property of Addition?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition#2-solved-examples-on-commutative-property-of-addition>Solved Examples on Commutative Property of Addition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition#3-practice-problems-on-commutative-property-of-addition>Practice Problems on Commutative Property of Addition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition#4-frequently-asked-questions-on-commutative-property-of-addition>Frequently Asked Questions on Commutative Property of Addition<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Addition is the first arithmetic operator that students learn about while studying elementary mathematics. Addition, as the name might suggest, is an easy topic and also lays the foundation for multiplication and some multi-digit arithmetic. One of the very interesting <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/properties-of-addition\" target=\"_blank\" rel=\"noopener\" title=\"\">properties of addition<\/a> is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/commutative-property\" target=\"_blank\" rel=\"noopener\" title=\"\">commutative property<\/a>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s take an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose you have 3 apples and 2 oranges.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">How do you find the total number of fruits you have?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">You add 3 and 2, and you get 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-1.png\" alt=\"Example of commutative property of addition\" class=\"wp-image-7508\" title=\"Example of commutative property of addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-1-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">But do you think that we would have gotten a different answer if we had taken the oranges first and then the apples?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-2.png\" alt=\"Verify commutative property of addition\" class=\"wp-image-7510\" title=\"Verify commutative property of addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-2-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">No, the total number of fruits is still the same. It\u2019s 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">And that is what the interesting property of commutativity for addition states.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-commutative-property-of-addition\">What is Commutative Property of Addition?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To \u201ccommute\u201d means to travel or move around. The commutative property of addition states that a change in the order of the numbers being added does not affect the sum.<strong> We can define commutative property of addition as adding the numbers in any order will give the same answer.\u00a0<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-3.png\" alt=\"Commutative property of addition definition\" class=\"wp-image-7512\" title=\"Commutative property of addition definition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Commutative-property-of-addition-3-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, a and b can be <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" target=\"_blank\" rel=\"noopener\" title=\"\">whole numbers<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\" target=\"_blank\" rel=\"noopener\" title=\"\">integers<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal\" target=\"_blank\" rel=\"noopener\" title=\"\">decimals<\/a>, or even <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" target=\"_blank\" rel=\"noopener\" title=\"\">fractions<\/a>.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Commutative Property of Addition Examples:<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">15 + 16 = 16&nbsp; + 15 = 31<\/li>\n\n\n\n<li class=\"eplus-wrapper\">4 + (\u20136)&nbsp; = (\u20136) + 4 = (\u20132)&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">0.5 + 0.6 = 0.6 + 0.5 = 1.1<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{1}{5}$ $+$ $\\frac{2}{5}$ $=$ $\\frac{2}{5}$ $+$ $\\frac{1}{2}$ $=$ $\\frac{3}{5}$<\/li>\n<\/ol>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-numbers-using-column-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_num_2_pt.png\" alt=\"Add Numbers Using Column Addition Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Numbers Using Column Addition Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-using-associative-property\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_together_we_flee_4_gm.png\" alt=\"Add Using Associative Property Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Using Associative Property Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_1d_vertical_pt.png\" alt=\"Addition By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Addition By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-sentences-up-to-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_cmplt_sent_w10_pt.png\" alt=\"Addition Sentences (Up to 10) Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Addition Sentences (Up to 10) Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-symbol\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_sym_w5_pt.png\" alt=\"Addition Symbol Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Addition Symbol Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-word-problems-on-finding-the-total\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_to_scenario_pt.png\" alt=\"Addition Word Problems on Finding the Total Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Addition Word Problems on Finding the Total Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-word-problems-on-put-together-scenarios\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_put_together_scenario_pt.png\" alt=\"Addition Word Problems on Put-Together Scenarios Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Addition Word Problems on Put-Together Scenarios Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/apply-distributive-property\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_mul_dispro_exp1_pt.png\" alt=\"Apply Distributive Property Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Apply Distributive Property Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/break-up-an-addition-sentences\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_break_up_add_sentence_1_pt.png\" alt=\"Break up an Addition Sentences Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Break up an Addition Sentences Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-addition-sentence-related-to-the-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_related_add_sentence_pt.png\" alt=\"Choose the Correct Addition Sentence Related to the Fraction Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Addition Sentence Related to the Fraction Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-do-other-operators-also-follow-the-law-of-commutativity-\">Do Other Operators Also Follow the Law of Commutativity?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Not really. The law of commutativity can only be applied to the concepts of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" target=\"_blank\" rel=\"noopener\" title=\"\">addition<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" target=\"_blank\" rel=\"noopener\" title=\"\">multiplication<\/a>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s say we want to solve the expression 3 times 4 or 3 \u2715 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can simply skip count by 4 three times and we get 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, we can solve for the depression 4 times 3 or 4 \u2715 3, and we get 12 again.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, changing the order of the numbers to be multiplied didn\u2019t really change the product.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, multiplication does follow the law of commutativity.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">However, if we talk about <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" target=\"_blank\" rel=\"noopener\" title=\"\">subtraction<\/a>, changing the order of numbers in a subtraction equation would absolutely change the result. Let\u2019s understand this with an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s subtract 3 from 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">4 \u2013 3 = 1<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, if we change the order of the numbers,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">3 \u2013 4 = (-1)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Well, numbers are not bound to agree with everything all the time, right?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Division, being the most cranky of all our operators with so much to keep in mind, does not follow the law of commutativity.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-10-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-10-horizontal-addition.jpeg\" alt=\"1 and 2 more within 10: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-10-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-10-vertical-addition.jpeg\" alt=\"1 and 2 more within 10: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-20-horizontal-addition.jpeg\" alt=\"1 and 2 more within 20: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-20-vertical-addition.jpeg\" alt=\"1 and 2 more within 20: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a 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Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-within-10-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-within-10-vertical-addition.jpeg\" alt=\"Add 1 within 10: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-within-20-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-within-20-horizontal-addition.jpeg\" alt=\"Add 1 within 20: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-within-20-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-within-20-vertical-addition.jpeg\" alt=\"Add 1 within 20: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-solved-examples-on-commutative-property-of-addition\">Solved Examples on Commutative Property of Addition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: Verify that \u201ca + b = b + a\u201d if a = 33 and b = 30.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Substituting the values in the left side of the equation,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">a + b = 33 + 30 = 63&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Substituting the values in the right side of the equation,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">b + a = 30 + 33 = 63<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, it is verified that a + b = b + a.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Fill in the blanks: <\/strong><strong><br><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;20 + <\/strong><strong>&nbsp;_&nbsp;<\/strong><strong>= <\/strong><strong>_&nbsp;&nbsp;<\/strong><strong>&nbsp;+ 20 = 55<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the result is the same, the equation must follow commutative property.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, we can think of the missing number as \u201cb\u201d.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we have<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">20 + b = 55,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore b = 55 \u2013 20 = 35.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: Prove with an example why subtraction is not applicable for commutative law?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> Let us take two numbers: <strong>3 and 5<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we subtract <strong>3 from 5 <\/strong>we get the result as <strong>2<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">But if we reverse the order and subtract <strong>5 from 3<\/strong>,<strong> <\/strong>we get the result as \u2013<strong>2<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, the commutative property does not apply to subtraction as changing the order changes the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 4: Which of the following fraction shows commutative property with <\/strong>$\\frac{1}{3}$ $+$ $\\frac{1}{2}$ <strong>?<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$\\frac{1}{2}$ $\\times $ $\\frac{1}{3}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{1}{3}$ $\\div$ $\\frac{1}{2}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{1}{2}$  $+$  $\\frac{1}{3}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{1}{3}$&nbsp; $-$ $\\frac{1}{2}$&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: (c) <\/strong>$\\frac{1}{2}$ $+$ $\\frac{1}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">By the law of commutativity of addition , $\\frac{1}{2}$ $+$&nbsp; $\\frac{1}{3}$ will provide the same result as $\\frac{1}{3}$  $+$  $\\frac{1}{2}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-practice-problems-on-commutative-property-of-addition\">Practice Problems on Commutative Property of Addition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Commutative Property of Addition \u2013 Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The following equation follows the commutative property of addition. Find the missing value.<br><b>39 + 67 = __ + 39<\/b><\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">42<\/div><div class=\"spq_answer_block\" data-value=\"1\">67<\/div><div class=\"spq_answer_block\" data-value=\"2\">39<\/div><div class=\"spq_answer_block\" data-value=\"3\">81<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 67<br\/>Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is the general form of commutative property?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">c = a +b<\/div><div class=\"spq_answer_block\" data-value=\"1\">a (b + c)  = a \u2715 b + b \u2715 c<\/div><div class=\"spq_answer_block\" data-value=\"2\">a + b = b + a<\/div><div class=\"spq_answer_block\" data-value=\"3\">a + (b+c) = a+c<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: a + b = b + a<br\/>The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Fill in the blanks:<br><b>23 +    =   + 23 = 48<\/b><\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">23<\/div><div class=\"spq_answer_block\" data-value=\"1\">26<\/div><div class=\"spq_answer_block\" data-value=\"2\">25<\/div><div class=\"spq_answer_block\" data-value=\"3\">27<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 25<br\/>Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">If 1.22 + 3. 789 = 5.009, what is the value of 3.789 + 1.22?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5.009<\/div><div class=\"spq_answer_block\" data-value=\"1\">5.990<\/div><div class=\"spq_answer_block\" data-value=\"2\">3.789<\/div><div class=\"spq_answer_block\" data-value=\"3\">1.22<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 5.009<br\/>By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Commutative Property of Addition \u2013 Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Commutative Property of Addition\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The following equation follows the commutative property of addition. Find the missing value.<br><b>39 + 67 = __ + 39<\/b>\",\n                    \"text\": \"The following equation follows the commutative property of addition. Find the missing value.<br><b>39 + 67 = __ + 39<\/b>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"42\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.\"\n                                   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             \"text\": \"Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"67\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using commutative property of addition,<br>\r\na + b = b + a,<br>\r\nTherefore, 39 + 67 = 67 + 39,<br>\r\nHence the missing number is 67.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is the general form of commutative property?\",\n                    \"text\": \"Which of the following is the general form of commutative property?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"c = a +b\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a (b + c)  = a \u2715 b + b \u2715 c\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a + (b+c) = a+c\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"a + b = b + a\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The law of cummutativity states that in an addition equation, changing the order of numbers still gives the same result.<br>Hence, a + b = b + a.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Fill in the blanks:<br><b>23 +    =   + 23 = 48<\/b>\",\n                    \"text\": \"Fill in the blanks:<br><b>23 +    =   + 23 = 48<\/b>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"26\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"27\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"25\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since the result is the same, the equation must follow commutative property.<br>\r\nSo we can think of the missing number as \u201cb\u201d.<br>\r\nNow, we have<br>\r\n23 + b = 48,<br>\r\nTherefore b = 48 \u2013 23 = 25.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If 1.22 + 3. 789 = 5.009, what is the value of 3.789 + 1.22?\",\n                    \"text\": \"If 1.22 + 3. 789 = 5.009, what is the value of 3.789 + 1.22?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5.990\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3.789\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.22\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5.009\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"By law of commutativity of addition, 1.22 + 3.789 = 3.789 + 1.22 = 5.009\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-frequently-asked-questions-on-commutative-property-of-addition\">Frequently Asked Questions on Commutative Property of Addition<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-05aae3a3-e94c-421e-9179-36a458b1cbb5\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-05aae3a3-e94c-421e-9179-36a458b1cbb5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-05aae3a3-e94c-421e-9179-36a458b1cbb5\"><strong>Does the commutative property of addition apply to fractions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-05aae3a3-e94c-421e-9179-36a458b1cbb5\">\n\n<p class=\"wp-block-paragraph\">Yes, as per the commutative property of addition, a + b = b + a for any numbers a and b.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-05aae3a3-e94c-421e-9179-36a458b1cbb5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-05aae3a3-e94c-421e-9179-36a458b1cbb5\"><strong>Is there a commutative property for subtraction?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-05aae3a3-e94c-421e-9179-36a458b1cbb5\">\n\n<p class=\"wp-block-paragraph\">No, the operations of subtraction and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" target=\"_blank\" rel=\"noopener\" title=\"\">division<\/a> do not obey the laws of commutative property.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-05aae3a3-e94c-421e-9179-36a458b1cbb5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-05aae3a3-e94c-421e-9179-36a458b1cbb5\"><strong>What are the properties of the addition operation?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-05aae3a3-e94c-421e-9179-36a458b1cbb5\">\n\n<p class=\"wp-block-paragraph\">The three properties of addition are Commutative property: For any two numbers a and b, a + b = b + a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/associative-property\" target=\"_blank\" rel=\"noopener\" title=\"\">Associative property<\/a>: For any three numbers a, b and c, a + (b + c) = (a + b) + c.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Identity property: For every number a, a +&nbsp; 0 = a.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Addition is the first arithmetic operator that students learn about while studying elementary mathematics. Addition, as the name might suggest, is an easy topic and also lays the foundation for multiplication and some multi-digit arithmetic. One of the very interesting properties of addition is the commutative property.&nbsp; Let\u2019s take an example.&nbsp; Suppose you have 3 &#8230; <a title=\"Commutative Property of Addition \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/commutative-property-of-addition\" aria-label=\"More on Commutative Property of Addition \u2013 Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1267","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1267"}],"version-history":[{"count":28,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1267\/revisions"}],"predecessor-version":[{"id":30618,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1267\/revisions\/30618"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}