{"id":2469,"date":"2022-04-28T06:35:22","date_gmt":"2022-04-28T06:35:22","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2469"},"modified":"2023-02-20T08:24:12","modified_gmt":"2023-02-20T08:24:12","slug":"subtraction-property-of-equality-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality","title":{"rendered":"Subtraction Property of Equality \u2013 Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-1e53e76d-7821-4eef-969f-9be7f6ddb4f9\" 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\/subtraction\/subtraction-property-of-equality#0-what-is-the-subtraction-property-of-equality>What is the Subtraction Property of Equality?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality#2-subtraction-property-of-equality-formula>Subtraction Property of Equality Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality#4-subtraction-property-of-equality-including-fractions>Subtraction Property of Equality Including Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality#6-solved-examples-on-subtraction-property-of-equality>Solved Examples on Subtraction Property of Equality<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality#7-practice-problems-on-subtraction-property-of-equality>Practice Problems on Subtraction Property of Equality<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality#8-frequently-asked-questions-on-subtraction-property-of-equality>Frequently Asked Questions on Subtraction Property of Equality<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-the-subtraction-property-of-equality\">What is the Subtraction Property of Equality?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The <strong>subtraction property of equality states that subtracting the same number from both sides of an equation maintains the equality<\/strong>. An algebraic equation is a mathematical statement that uses the \u201cequal to sign\u201d or \u201c$=$\u201d to state that two expressions are equal.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Examples: $5 + 7 = 12$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$13 \\;\u2013\\; 4 = 9$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$y + 6 = 10$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">When we have a mathematical equation, the balanced operations of addition, subtraction, multiplication, and division on both sides do not affect the equality.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If any mathematical operation is applied on one side of an equation, then it must be applied on the other side of an equation to keep it balanced. The properties that do not impact equality are called the properties of equality.&nbsp;<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"1-subtraction-property-of-equality-definition-\"><strong>Subtraction Property of Equality Definition<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality. If the same number or value is subtracted from two sides of an equation, then the equality also holds for the difference obtained on both sides.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Mathematically, we can express this as&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If $a = b$, then $a \\;\u2013\\; c = b \\;\u2013\\; c$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The converse is also true!&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Thus, we get<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">$a = b\\Rightarrow a \\;\u2013\\; c = b \\;\u2013\\; c$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1:<\/strong> Alice has 2 chocolates and Janice has 5 chocolates. How many chocolates do both have?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of chocolates both have $= 2 + 5 = 7$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now suppose Alice and Janice eat one chocolate each, then how many chocolates will both have?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">L.H.S. $= 2 + 5 \\;-\\; 1 = 6$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">R.H.S. $= 7 \\;-\\; 1 = 6$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>L.H.S. <\/strong>$=$<strong> R.H.S<\/strong>.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can see that subtracting 1 from both sides maintains equality.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Solve <\/strong>$x + 5 = 9$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"384\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-1.png\" alt=\"Applying the subtraction property of equality\" class=\"wp-image-24798\" title=\"Applying the subtraction property of equality\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-1-300x186.png 300w\" 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\/complete-related-facts-of-addition-and-subtraction\" 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_complete_related_fact_pt.png\" alt=\"Complete Related Facts of Addition and Subtraction 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 Related Facts of Addition and Subtraction 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-subtraction-sentences-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_sub_regrp_2d_2d_missing_pt.png\" alt=\"Complete Subtraction Sentences 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\">Complete Subtraction Sentences 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\/complete-subtraction-using-pictures\" 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_sub_using_pic_pt.png\" alt=\"Complete Subtraction using Pictures 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 Subtraction using Pictures 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-fraction-subtraction\" 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_complete_subtraction_unlike_pt.png\" alt=\"Complete the Fraction Subtraction 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 Fraction Subtraction 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-mixed-numbers-subtraction\" 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_complete_subtraction_mixed_pt.png\" alt=\"Complete the Mixed Numbers Subtraction 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 Mixed Numbers Subtraction 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-related-subtraction-facts\" 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_related_sub_facts_pt.png\" alt=\"Complete the Related Subtraction Facts 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 Related Subtraction Facts 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-subtraction-between-a-mixed-number-and-a-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_complete_sub_pt.png\" alt=\"Complete the Subtraction between a Mixed Number and a 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\">Complete the Subtraction between a Mixed Number and a 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-subtraction\" 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_add_sub_complete_sub_pt.png\" alt=\"Complete the Subtraction 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 Subtraction 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=\"2-subtraction-property-of-equality-formula\">Subtraction Property of Equality Formula<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Consider an equation $x = y$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If a real number \u201cc\u201d is subtracted from L.H.S. and R.H.S., then we get $x \\;\u2013\\; c = y \\;\u2013\\; c$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, the formula is given by,<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x = y \\Longleftrightarrow x \\;\u2013\\; c = y \\;\u2013\\; c$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, equality holds or the equation is balanced if the same number is subtracted from both sides of the equation.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Consider an example of the subtraction property of equality:<\/strong> Consider two circles with the same number of stars.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Stars in Circle $1 =$ Stars in Circle 2&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow 10 = 10$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"409\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-2.png\" alt=\"Subtraction property of equality: visual example\" class=\"wp-image-24799\" title=\"Subtraction property of equality: visual example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-2-300x198.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Now, if we take away 2 stars from Circle 1 then, in order to balance this equation in both the circles, we need to take away 2 stars from the other circle also.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"409\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-3.png\" alt=\"Visual example of subtraction property of equality\" class=\"wp-image-24801\" title=\"Visual example of subtraction property of equality\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/Subtraction-Property-of-Equality-3-300x198.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-and-subtract-1-digit-numbers-within-20-horizontal-addition-and-subtraction\" 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-and-subtract-1-digit-numbers-within-20-horizontal-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Horizontal Addition and Subtraction 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-and-subtract-1-digit-numbers-within-20-vertical-addition-and-subtraction\" 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-and-subtract-1-digit-numbers-within-20-vertical-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Vertical Addition and Subtraction 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-and-subtract-2-digit-and-1-digit-numbers-with-regrouping-horizontal-addition-and-subtraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div 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and 10: Vertical Addition and Subtraction 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-and-subtract-2-digit-numbers-and-multiples-of-10-horizontal-addition-and-subtraction\" 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-and-subtract-2-digit-numbers-and-multiples-of-10-horizontal-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 2-Digit Numbers and Multiples of 10: Horizontal Addition and Subtraction 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-and-subtract-2-digit-numbers-and-multiples-of-10-vertical-addition-and-subtraction\" 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-and-subtract-2-digit-numbers-and-multiples-of-10-vertical-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 2-Digit Numbers and Multiples of 10: Vertical Addition and Subtraction 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=\"3-verification-of-subtraction-property-of-equality\">Verification of Subtraction Property of Equality<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Let\u2019s verify the property with examples.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: <\/strong>Arithmetically, we know that $15 + 8 = 23$.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, if we subtract 5 from both sides of the equation, we have<\/p>\n\n\n\n<p class=\" eplus-wrapper\">L.H.S. $= 15 + 8 \\;\u2013\\; 5 = 18$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">R.H.S. $= 23 \\;\u2013\\; 5 = 18$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">L.H.S. $=$ R.H.S.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">It implies that when the same number is subtracted from both sides of an equation, the equality still holds or the equation is balanced.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: <\/strong>Now, let us take another example. Let us consider an algebraic equation $x + 5 = 37$. To find the value of x, we need to subtract 4 from both sides of the equation. So, we have<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x + 5 = 37$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow x + 5 \\;\u2013\\; 5 = 37 \\;\u2013\\; 5$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow x = 32$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, the property is extremely useful in solving the algebraic equations.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-subtraction-property-of-equality-including-fractions\">Subtraction Property of Equality Including Fractions<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Consider an equation involving fractions $\\frac{a}{b} = \\frac{p}{q}$ . Subtracting the same fraction $\\frac{c}{d}$ from both sides of the equation keeps the equation balanced.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;$\\frac{a}{b} = \\frac{p}{q} \\Rightarrow \\frac{a}{b}\\;-\\;cd = pq \\;-\\; cd$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In this article, we learned about the subtraction property of equality. It states that if we subtract the same number on both sides of an equation, then the equation remains balanced. Let\u2019s solve a few examples!<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-solved-examples-on-subtraction-property-of-equality\">Solved Examples on Subtraction Property of Equality<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. <\/strong><strong>John has 10 balloons in one hand and 10 in another. A bird bursts 3 balloons on the left side. How should he balance the number of balloons in each hand?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Initially, John is holding 10 balloons in both of his hands.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$10 = 10$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Then, 3 balloons on the left side were burst by a bird, resulting in a loss of balance.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of balloons in the left hand $= 10 \\;\u2013\\; 3 = 7$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">To balance the other side, John lets go of 3 balloons from the right side.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$7 = 10 \\;\u2013\\; 3$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow 7 = 7$ [Equation is balanced.]<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. Let x be a real number such that <\/strong>$x + 6 = 18$<strong>. Find the value of <\/strong>$x$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> $x + 6 = 18$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>&nbsp;<\/strong>$x + 6 = 18$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">To solve for $x$, it is necessary to isolate the variable. In this case, subtracting 6 from the left side of the equation will do that.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Subtract 6 from both sides of the equation to get:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x + 6 \\;-\\; 6 = 18 \\;-\\; 6$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x = 12$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>3. Let a,b and c be real numbers such that <\/strong>$b = c$<strong> and <\/strong>$c = 4 + a$<strong>. Show that <\/strong>$b \\;-\\; a = 4$<strong>.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">$b = c$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$c = 4 + a$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Subtracting a from both the sides, we get<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$c\\;-\\;a = 4 + a\\;-\\;a$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$c\\;-\\;a = 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Since, $b = c$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>&nbsp;<\/strong>$b \\;-\\; a = 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>4. Let <\/strong>$x + 7 = 18$<strong> and <\/strong>$y + 5 = 21$<strong>. Find the value of <\/strong>$x$<strong> and <\/strong>$y$<strong>.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x + 7 = 18$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Subtracting 7 from both the sides, we get<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x + 7 \\;-\\; 7 = 18 \\;-\\; 7$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x = 11$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$y + 5 = 21$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Subtracting 5 from both the sides, we get<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$y + 5 \\;-\\; 5 = 21 \\;-\\; 5$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$y = 16$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-practice-problems-on-subtraction-property-of-equality\">Practice Problems on Subtraction Property of Equality<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Subtraction Property of Equality \u2013 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\">Find the value of $x$ for the algebraic equation $x + 12 = 17$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/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<br\/>On subtracting both the sides by 12, we get: $x + 12-12 = 17\\;-\\;12\r\nx=5$<\/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\">If $x = y$, then choose the correct option:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$x\\;-\\;5 = y\\;-\\;5$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$x = y\\;-\\;10$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$x = y + 10$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$x\\;-\\;5 = y$<\/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: $x\\;-\\;5 = y\\;-\\;5$<br\/>If $x = y$, $x\\;-\\;5 = y\\;-\\;5$ by the subtraction property.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the value of $x,\\; \\frac{2}{3} + x = \\frac{3}{4}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{12}$<\/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: $\\frac{1}{12}$<br\/>On subtracting $\\frac{2}{3}$ from the sides, we get $\\frac{2}{3} + x\\;-\\;\\frac{2}{3} = \\frac{3}{4}\\;-\\;\\frac{2}{3}$<br>\r\n$x = \\frac{9\\;-\\;8}{12} = \\frac{1}{12}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The subtraction property of equality formula is given by:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$x = y \\Rightarrow x + c = y + c$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$x = y \\Rightarrow x\\;-\\;c = y\\;-\\;c$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$x = y \\Rightarrow x = y + c$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$x = y \\Rightarrow x\\;-\\;c = y + c$<\/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: $x = y \\Rightarrow x\\;-\\;c = y\\;-\\;c$<br\/>The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $x = y$, so $x\\;-\\;c = y\\;-\\;c$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Two bags of wheat have the same weight. If 12 ounces of wheat are removed from each bag, how do the new weights of the bags compare to each other?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$a\\;-\\;12 = b$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$a + 12 = b\\;-\\;12$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$a = b + 12$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$a\\;-\\;12 = b\\;-\\;12$<\/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: $a\\;-\\;12 = b\\;-\\;12$<br\/>Let $a$ and $b$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $a = b$.\r\nOn removing 12 ounces from each bags, we get $a\\;-\\;12 = b\\;-\\;12$<\/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\": \"Subtraction Property of Equality \u2013 Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Subtraction Property of Equality\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of $$x$$ for the algebraic equation $$x + 12 = 17$$.\",\n                    \"text\": \"Find the value of $$x$$ for the algebraic equation $$x + 12 = 17$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On subtracting both the sides by 12, we get: $$x + 12-12 = 17\\\\;-\\\\;12\r\nx=5$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If $$x = y$$, then choose the correct option:\",\n                    \"text\": \"If $$x = y$$, then choose the correct option:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x = y\\\\;-\\\\;10$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x = y + 10$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x\\\\;-\\\\;5 = y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If $$x = y$$, $$x\\\\;-\\\\;5 = y\\\\;-\\\\;5$$ by the subtraction property.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of $$x,\\\\; \\\\frac{2}{3} + x = \\\\frac{3}{4}$$.\",\n                    \"text\": \"Find the value of $$x,\\\\; \\\\frac{2}{3} + x = \\\\frac{3}{4}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{12}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On subtracting $$\\\\frac{2}{3}$$ from the sides, we get $$\\\\frac{2}{3} + x\\\\;-\\\\;\\\\frac{2}{3} = \\\\frac{3}{4}\\\\;-\\\\;\\\\frac{2}{3}$$<br>\r\n$$x = \\\\frac{9\\\\;-\\\\;8}{12} = \\\\frac{1}{12}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The subtraction property of equality formula is given by:\",\n                    \"text\": \"The subtraction property of equality formula is given by:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x = y \\\\Rightarrow x + c = y + c$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x = y \\\\Rightarrow x = y + c$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x = y \\\\Rightarrow x\\\\;-\\\\;c = y + c$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$x = y \\\\Rightarrow x\\\\;-\\\\;c = y\\\\;-\\\\;c$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The subtraction property equality states that we have to subtract same number from both the sides, i.e., if $$x = y$$, so $$x\\\\;-\\\\;c = y\\\\;-\\\\;c$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Two bags of wheat have the same weight. If 12 ounces of wheat are removed from each bag, how do the new weights of the bags compare to each other?\",\n                    \"text\": \"Two bags of wheat have the same weight. If 12 ounces of wheat are removed from each bag, how do the new weights of the bags compare to each other?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$a\\\\;-\\\\;12 = b$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$a + 12 = b\\\\;-\\\\;12$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$a = b + 12$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let $$a$$ and $$b$$ be the weight of the wheat in the first and second bag respectively. Since both bags have same weight, so $$a = b$$.\r\nOn removing 12 ounces from each bags, we get $$a\\\\;-\\\\;12 = b\\\\;-\\\\;12$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-frequently-asked-questions-on-subtraction-property-of-equality\">Frequently Asked Questions on Subtraction Property of Equality<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" 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-0-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>What is the difference between the subtraction property of equality and the addition 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-0-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">The subtraction property of equality is the property that states that if a value is subtracted from two equal quantities, then the differences are also equal, i.e., if $X = Y$, then $x \/;-\/; c = y \/;-\/; c$.The subtraction property of equality is that property which states that if a value is added from two equal quantities, then the sums are also equal, i.e., if $X = Y$, then $x + c = y + c$.<\/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-1-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>What is the subtraction property of inequality?<\/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-1-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">According to the subtraction property of inequality, if the same number is subtracted from both sides of any given inequality, then the sense or the sign of the inequality remains the same.<\/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-2-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>Can the number which we subtract from both the sides of an equation be 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-2-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">Yes, the number which we subtract from both sides of an equation can be 0. However, subtracting 0 does not change the equation.<\/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-3-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>How can we deduce the addition property of equality using the subtraction 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-3-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">We can deduce the addition property of equality by subtracting $(\/;-\/;c)$ from both the sides of $x = y$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$x\/;-\/;(\/;-\/;c) = y\/;-\/;(\/;-\/;c)x + c = y + c$ which is the addition 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-4-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>What are the applications of the subtraction 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-4-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">We are able to manipulate, simplify, balance, and solve equations, as well as draw accurate conclusions supported by reasons using the subtraction property of equality. It also helps in simplifying the complex algebraic expressions.<\/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-5-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>What are the nine properties 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-5-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<p class=\" eplus-wrapper\">There are nine properties of equality:&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">1. Addition<\/p>\n\n\n\n<p class=\" eplus-wrapper\">2. Subtraction<\/p>\n\n\n\n<p class=\" eplus-wrapper\">3. Multiplication<\/p>\n\n\n\n<p class=\" eplus-wrapper\">4. Division<\/p>\n\n\n\n<p class=\" eplus-wrapper\">5. Reflexive<\/p>\n\n\n\n<p class=\" eplus-wrapper\">6. Symmetric<\/p>\n\n\n\n<p class=\" eplus-wrapper\">7. Transitive<\/p>\n\n\n\n<p class=\" eplus-wrapper\">8. Substitution and&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">9. Square root<\/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-6-2ac3d578-9555-4385-8ee8-72e4db2dba2e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ac3d578-9555-4385-8ee8-72e4db2dba2e\"><strong>What are the properties of 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-6-2ac3d578-9555-4385-8ee8-72e4db2dba2e\">\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Identity property: $a \/;-\/; 0 = a$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Change of order: $a \/;-\/; b = \/;-\/;(b \/;-\/;a)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Subtracting a number from itself: $a \/;-\/; a = 0$<\/li>\n<\/ul>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is the Subtraction Property of Equality? The subtraction property of equality states that subtracting the same number from both sides of an equation maintains the equality. An algebraic equation is a mathematical statement that uses the \u201cequal to sign\u201d or \u201c$=$\u201d to state that two expressions are equal.&nbsp; Examples: $5 + 7 = 12$ &#8230; <a title=\"Subtraction Property of Equality \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality\" aria-label=\"More on Subtraction Property of Equality \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-2469","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\/2469","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=2469"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2469\/revisions"}],"predecessor-version":[{"id":25096,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2469\/revisions\/25096"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}