{"id":1284,"date":"2022-04-18T09:26:40","date_gmt":"2022-04-18T09:26:40","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1284"},"modified":"2023-02-14T15:55:16","modified_gmt":"2023-02-14T15:55:16","slug":"division-property-of-equality-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality","title":{"rendered":"Division Property of Equality &#8211; 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\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%\">\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=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-4c83e85f-11c7-4167-9cec-c4cab0d92133\" 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\/division-property-of-equality#0-division-property-of-equality-definition>Division Property of Equality Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality#1-the-inverse-of-division-property-multiplication-property-of-equality>The Inverse of Division Property: Multiplication Property of Equality<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality#2-how-is-the-division-property-of-equality-used->How Is the Division Property of Equality Used?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality#3-solved-examples->Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The division property of equality tells us that if we divide both sides of an equation by the same number, the equation remains the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose you have two pizzas of the same size. You cut each of them into halves and give away one-half from each pizza to your friends. If you measure the remaining portions, you will find that you are left with equal portions from both pizzas.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"459\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-1-1.png\" alt=\"Two pizzas and two half pizzas\" class=\"wp-image-9278\" title=\"Two pizzas and two half pizzas\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-1-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-1-1-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the initial equation was that both the pizzas were equal. Then you divided them by 2 and found that they are still equal. This means the equation remained the same even when you divided both sides of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation\">equation<\/a> by a common number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"726\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-2.png\" alt=\"Real life example of division property of equality\" class=\"wp-image-9276\" title=\"Real life example of division property of equality\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-2-256x300.png 256w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This is the basic concept of the division property of equality<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-division-property-of-equality-definition\">Division Property of Equality Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The division property of equality states that if both sides of an equation are divided by a common real number that is not equal to 0, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\">quotients<\/a> remain equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The formula for the same can be written as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If a, b, and c are real numbers where a = b and c \u2260 0, then:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{a}{c}=\\frac{b}{c}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This property is true for all real numbers and even algebraic expressions using <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variables<\/a>.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here is an example of division property of equality using whole numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1<\/strong>: Consider the equation 50 = 20 + 30.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us divide both sides by 10.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-3.png\" alt=\"Division property of equality example\" class=\"wp-image-9275\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-3-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here is an example using fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2<\/strong>: Let us take the equation 2\/3 = 4\/6<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we divide both sides by 1\/3, we get&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"832\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-4.png\" alt=\"Division property of equality with fractions\" class=\"wp-image-9274\" title=\"Division property of equality with fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-4-224x300.png 224w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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-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\/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\/choose-the-correct-missing-part-of-division-equation\" 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_pv_miss_num_div_b_pt.png\" alt=\"Choose the Correct Missing Part of DIvision Equation 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 Missing Part of DIvision Equation 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\/complete-division-patterns-of-decimal-numbers\" 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\/dec_mul_div_complete_div_pattern_pt.png\" alt=\"Complete Division Patterns of Decimal Numbers 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\">Complete Division Patterns of Decimal Numbers 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\/complete-the-division-equation-by-filling-the-quotient-or-divisor\" 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_pv_miss_num_div_d_pt.png\" alt=\"Complete the Division Equation by FIlling the Quotient or Divisor 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\">Complete the Division Equation by FIlling the Quotient or Divisor 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\/complete-the-division-equation\" 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_pv_miss_num_div_e_pt.png\" alt=\"Complete the Division Equation 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\">Complete the Division Equation 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\/complete-the-division-expression-for-arrays\" 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_rep_div_arr_pt.png\" alt=\"Complete the Division Expression for Arrays 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\">Complete the Division Expression for Arrays 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\/complete-the-division-expression-for-equal-groups\" 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_rep_div_grp_pt.png\" alt=\"Complete the Division Expression for Equal Groups 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\">Complete the Division Expression for Equal Groups 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\/complete-the-division\" 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_pv_complete_div_1_pt.png\" alt=\"Complete the Division 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\">Complete the Division 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\/complete-the-division-patterns\" 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_div_pattern2_pt.png\" alt=\"Complete the Division Patterns 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\">Complete the Division Patterns 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=\"eplus-wrapper wp-block-heading\" id=\"1-the-inverse-of-division-property-multiplication-property-of-equality\">The Inverse of Division Property: Multiplication Property of Equality<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The inverse of division property is the multiplication property of inequality. It states that if you multiply the two sides of an equation by any number, the result remains the same. That is, if a, b, and c are any three real numbers and a = b, then this means,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"308\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-5.png\" alt=\"Multiplication property of equality\" class=\"wp-image-9273\" title=\"Multiplication property of equality\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-5-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/add-the-numbers-using-commutative-property-of-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-the-numbers-using-commutative-property-of-addition.jpeg\" alt=\"Add the Numbers Using Commutative Property of Addition\">\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\/apply-commutative-property-of-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\/apply-commutative-property-of-addition.jpeg\" alt=\"Apply Commutative Property of 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\/apply-commutative-property\" 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\" 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/commutative-property-of-addition-on-number-line.jpeg\" alt=\"Commutative Property of Addition on Number Line 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=\"eplus-wrapper wp-block-heading\" id=\"2-how-is-the-division-property-of-equality-used-\"><strong>How Is the Division Property of Equality Used?<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This property is used in various mathematical contexts.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">This property helps identify whether or not two expressions in arithmetic are equivalent.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">It is used in algebra to solve an unknown variable.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example:<br>Let\u2019s say Mia bought 5 cupcakes for $\\$$30. How can she find out the price of one cupcake?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s say the price of one cupcake is z dollars.<br>Therefore, 5z = $\\$$30.<br>Dividing both sides of this equation by 5, we get,<\/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\/Division-Property-of-Equality-6-1.png\" alt=\"Use of division property of equality\" class=\"wp-image-9271\" title=\"Use of division property of equality\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-6-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Division-Property-of-Equality-6-1-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, each cupcake costs $\\$$6.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">It serves as the foundation for the study of logic.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-solved-examples-\"><strong>Solved Examples<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: James can store 50 balls in a basket. If he has 300 balls, how many baskets will he need to store them?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"401\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-1-13.png\" alt=\"balls\" class=\"wp-image-9269\" title=\"balls\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-1-13.png 600w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-1-13-300x201.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: The total number of balls that James needs to store is 300.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us say he needs \u201cx\u201d baskets to store the balls.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We form the equation as 50x = 300.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Dividing both sides of the equation by 5, we get,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{50x}{5}= \\frac{300}{5}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Or, 10x= 60&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Dividing both sides of the equation by 10,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{10x}{10}= \\frac{60}{10}$,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Or x= 6 .<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, James needs 6 baskets to store 300 balls.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Harry covers 56 km in 7 days on his bicycle. Use the division property of equality to find the distance covered by Harry each day.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"401\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-13.png\" alt=\"Kids on bicycle\" class=\"wp-image-9267\" title=\"Kids on bicycle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-13.png 600w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-13-300x201.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: Let us say Harry covers \u201cx\u201d km on his bike in one day.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We form the equation as 7x = 56.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Dividing both sides of the equation by 7, we get,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{7x}{7}= \\frac{56}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Or, x= 8&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, we see that Harry rides his bike for 8 kms every day.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: Find the value of y in the following equation:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>11 \u2013 38 = 3y<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: We start by simplifying the terms on each side.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">11 \u2013 38 = 3y<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Or, \u2013 27 = 3y<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Dividing both sides of the equation by 3, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$-\\frac{27}{3}= \\frac{3y}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Or, $y= \u20139$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Division Property of Equality - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following equations shows the division property of equality for real numbers x, y, z where y \u2260 0 and x = z?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">x + y = z + y<\/div><div class=\"spq_answer_block\" data-value=\"1\">x \u2013 y = z \u2013 y<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{x}{y} = \\frac{z}{y}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: $\\frac{x}{y} = \\frac{z}{y}$<br\/>As per the division property of equality if x, y, z are three real numbers such that x = z and y \u2260 0,<br>then, $\\frac{x}{y} = \\frac{z}{y}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Using the division property of equality, solve the following equation for x<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">42<\/div><div class=\"spq_answer_block\" data-value=\"3\">8<\/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: 7<br\/>Dividing both sides of the equation by 7<br>\r\n$\\frac{70x}{7}= \\frac{490}{7}$<br> \r\nOr, $10x$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$\\frac{10x}{10}= \\frac{70}{10},<br>\r\nOr x = 7 .<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If 4 books cost $\\$$220, what is the cost of each book assuming all 4 books cost the same?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$$50<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$$55<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$$40<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$$60<\/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: $\\$$55<br\/>Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$\\frac{4x}{4}= \\frac{220}{4}$,<br>\r\nOr x= $\\$$55<\/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\": 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\u2260 0,<br>then, $$\\\\frac{x}{y} = \\\\frac{z}{y}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{x}{y} = \\\\frac{z}{y}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"As per the division property of equality if x, y, z are three real numbers such that x = z and y \u2260 0,<br>then, $$\\\\frac{x}{y} = \\\\frac{z}{y}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"As per the division property of equality if x, y, z are three real numbers such that x = z and y \u2260 0,<br>then, $$\\\\frac{x}{y} = \\\\frac{z}{y}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Using the division property of equality, solve the following equation for x\",\n                    \"text\": \"Using the division property of equality, solve the following equation for x\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr x = 7 .\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr $$x$$= 7 .\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"42\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr $$x$$= 7 .\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr $$x$$= 7 .\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr $$x$$= 7 .\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Dividing both sides of the equation by 7<br>\r\n$$\\\\frac{70x}{7}= \\\\frac{490}{7}$$<br> \r\nOr, $$10x$$= 70<br>\r\nDividing both sides of the equation by 10,<br>\r\n$$\\\\frac{10x}{10}= \\\\frac{70}{10},<br>\r\nOr $$x$$= 7 .\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If 4 books cost $$\\\\$$$$220, what is the cost of each book assuming all 4 books cost the same?\",\n                    \"text\": \"If 4 books cost $$\\\\$$$$220, what is the cost of each book assuming all 4 books cost the same?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$50\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$40\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$60\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$$$55\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let the cost of one book be x.<br>\r\nSo, we form the equation as 4x = 220<br>\r\nDividing both sides of the equation by 4,<br>\r\n$$\\\\frac{4x}{4}= \\\\frac{220}{4}$$,<br>\r\nOr x= $$\\\\$$$$55\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e0f5c243-6637-475a-a7ac-fecdcbc45a45\" 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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0f5c243-6637-475a-a7ac-fecdcbc45a45\"><strong>Why is the division property of equality not applicable for 0?<\/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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\">\n\n<p class=\"wp-block-paragraph\">Since division by 0 is not defined, the division property of equality is not applicable for 0.<\/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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0f5c243-6637-475a-a7ac-fecdcbc45a45\"><strong>Do we have to use the same divisor on both sides of an equation when following the division property of equality?<\/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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\">\n\n<p class=\"wp-block-paragraph\">Yes, we have to use the same divisor on both sides of an equation when following the division property of equality.<\/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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e0f5c243-6637-475a-a7ac-fecdcbc45a45\"><strong>How can we undo an operation using the equality division property?<\/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-e0f5c243-6637-475a-a7ac-fecdcbc45a45\">\n\n<p class=\"wp-block-paragraph\">We can undo an operation of the division property of equality by applying its inverse operation: multiplication.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The division property of equality tells us that if we divide both sides of an equation by the same number, the equation remains the same. Suppose you have two pizzas of the same size. You cut each of them into halves and give away one-half from each pizza to your friends. If you measure the &#8230; <a title=\"Division Property of Equality &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division-property-of-equality\" aria-label=\"More on Division Property of Equality &#8211; 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-1284","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\/1284","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=1284"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1284\/revisions"}],"predecessor-version":[{"id":24492,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1284\/revisions\/24492"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}