{"id":31602,"date":"2023-07-07T17:39:12","date_gmt":"2023-07-07T17:39:12","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31602"},"modified":"2023-07-07T17:45:24","modified_gmt":"2023-07-07T17:45:24","slug":"division-by-zero-definition-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero","title":{"rendered":"Division by Zero &#8211; Definition, Examples, Facts, FAQs"},"content":{"rendered":"<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-e813d857-9ceb-44ff-a9d7-c1104f4b9a2d\" 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-by-zero#0-what-is-division-by-zero-in-math>What Is Division by Zero in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero#1-why-can%E2%80%99t-you-divide-by-zero>Why Can\u2019t You Divide by Zero?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero#5-undefined-vs-indeterminate>Undefined vs. Indeterminate<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero#8-solved-examples-on-division-by-zero>Solved Examples on Division by Zero<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero#9-practice-problems-on-division-by-zero>Practice Problems on Division by Zero<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero#10-frequently-asked-questions-on-division-by-zero>Frequently Asked Questions on Division by Zero<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-division-by-zero-in-math\">What Is Division by Zero in Math?<\/h2>\n\n\n\n<p><strong>Division by zero is not defined.<\/strong> Division by 0 refers to a division problem having a non-zero number as a dividend (numerator) and zero as a divisor (denominator).&nbsp;<\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\">Division<\/a> is a process of splitting a number or a quantity into equal parts. A division problem consists of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/dividend\">dividend<\/a> (a number to be divided), a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/divisor\">divisor<\/a> (a number by which the dividend is to be divided). The answer to the division problem is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\">quotient<\/a>.<\/p>\n\n\n\n<p>For instance, let us say 10 candies are to be divided between 2 people. Here, 10 is the dividend and 2 is the divisor. We write this as $10\\div 2$ or $\\frac{10}{2}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/division-example.png\" alt=\"Division of 10 candies equally among 2 people\" class=\"wp-image-31616\" title=\"Division of 10 candies equally among 2 people\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/division-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/division-example-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>The quotient or the result will be 5, which is the number of toffees that each person will get. <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder\">Remainder<\/a> is 0. This is fair sharing.<\/p>\n\n\n\n<p>Now, let\u2019s understand what happens when you divide by zero. If 10 toffees need to be distributed between \u201c<strong>zero<\/strong>\u201d people, we can not simply divide them. 0 means nothing. The statement sounds absurd.&nbsp;<\/p>\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\/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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-solution\" 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_div_2_to_5_d_pt.png\" alt=\"Complete the Division Solution 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 Solution 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-solution-where-dividend-is-between-6-9\" 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_div_6_to_9_b_pt.png\" alt=\"Complete the Division Solution Where Dividend is Between 6-9 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 Solution Where Dividend is Between 6-9 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-why-can%E2%80%99t-you-divide-by-zero\">Why Can\u2019t You Divide by Zero?<\/h2>\n\n\n\n<p>Division by 0 is not defined because there is no definite answer to the problem.<\/p>\n\n\n\n<p>Let\u2019s try to understand using the previous example.<\/p>\n\n\n\n<p>When we divide 10 by 2, we get<\/p>\n\n\n\n<p>$10 \\div 2 = 5 \\Leftrightarrow 2 \\times 5 = 10$<\/p>\n\n\n\n<p>If we divide by 0, we can write<\/p>\n\n\n\n<p>$10 \\div 0 = ?&nbsp;\\Leftrightarrow 0 \\times ? = 10$<\/p>\n\n\n\n<p>There is no number that you can multiply by 0 to get a non-zero result.&nbsp;<\/p>\n\n\n\n<p>How many 0s do we need to add together to get 10?&nbsp;<\/p>\n\n\n\n<p>Even if you add 0 an infinite number of times, you won\u2019t get the answer.<\/p>\n\n\n\n<p>Thus, the value of the quotient (<strong>?)<\/strong> cannot be determined. The equation can not hold true since 0 times anything is 0. Thus, division by 0 is not defined. There\u2019s no specific answer to this problem.<\/p>\n\n\n\n<p>Division by 0 is often represented by infinity (symbol: ). Infinity is not actually a number per se, even if it is often used like that. It represents an idea that something has no end. It goes on forever.<\/p>\n\n\n\n<p>Consider an example.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><tbody><tr><td>$\\frac{1}{1} = 1$<br>$\\frac{1}{0.1} = 10$<br>$\\frac{1}{0.001} = 1000$<br>$\\frac{1}{0.00001} = 100000$<br>.<br>.<br>.<br>$\\text{lim}\\frac{1}{x} = + \\infty$<br>$\\text{x}^{\\rightarrow}0^{+}$<\/td><td>$\\frac{1}{-1} = -1$<br>$\\frac{1}{-0.1} = -10$<br>$\\frac{1}{-0.001} = -1000$<br>$\\frac{1}{-0.00001} = -100000$<br>.<br>.<br>.<br>$\\text{lim}\\frac{1}{x} = \\;-\\; \\infty$<br>$\\text{x}^{\\rightarrow}0^{-}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>As the positive number we divide by gets closer to 0, we get bigger and bigger positive numbers as a result. The answer approaches positive infinity.<\/p>\n\n\n\n<p>In case of division by negative numbers, as the number in the denominator gets closer to 0, the answer approaches negative infinity.&nbsp;<\/p>\n\n\n\n<p>Thus, we cannot define division by 0. It is undefined.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/apply-division-in-everyday-life\" 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-division-in-everyday-life.jpeg\" alt=\"Apply Division in Everyday Life 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\/compare-division-expressions\" 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\/compare-division-expressions.jpeg\" alt=\"Compare Division Expressions 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\/compare-division-situations\" 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\/compare-division-situations.jpeg\" alt=\"Compare Division Situations 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\/compare-the-division-expressions\" 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\/compare-the-division-expressions.jpeg\" alt=\"Compare the Division Expressions 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\/complete-multiplication-and-division-sentences\" 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\/complete-multiplication-and-division-sentences.jpeg\" alt=\"Complete Multiplication and Division Sentences 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\/complete-the-division-facts\" 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\/complete-the-division-facts.jpeg\" alt=\"Complete the Division Facts 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\/complete-the-division-sentence\" 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\/complete-the-division-sentence.jpeg\" alt=\"Complete the Division Sentence 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\/complete-the-division\" 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\/complete-the-division.jpeg\" alt=\"Complete the Division 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\/create-equal-groups-and-write-division-expressions\" 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\/create-equal-groups-and-write-division-expressions.jpeg\" alt=\"Create Equal Groups and Write Division Expressions 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\/create-equivalent-fractions-using-division\" 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\/create-equivalent-fractions-using-division.jpeg\" alt=\"Create Equivalent Fractions using Division 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 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scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-division-property-of-zero\">Division Property of Zero<\/h2>\n\n\n\n<p><strong>1. Dividing zero by any real number (except 0) will always result in 0.&nbsp;<\/strong><\/p>\n\n\n\n<p>Thus, $\\frac{0}{a} = 0 \\div a = 0$<\/p>\n\n\n\n<p><em>(Consider a real-world example here. If you divide 0 apples among 5 people, each person will get nothing. Thus, 0 divided by any non-zero real number equals 0.)<\/em><\/p>\n\n\n\n<p><strong>2. The answer for division by zero can be termed undefined or indeterminate.&nbsp;<\/strong><\/p>\n\n\n\n<p>$\\frac{a}{0} =$ <strong>Undefined<\/strong> \u2026$a \\neq 0$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-what-is-1-divided-by-0\">What Is 1 Divided by 0?<\/h2>\n\n\n\n<p>For any non-zero real number, the division by 0 is not defined. Thus, one divided by zero is also not defined.<\/p>\n\n\n\n<p>$\\frac{1}{0} =$<strong> Undefined<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-what-is-0-divided-by-0\">What Is 0 Divided by 0?<\/h2>\n\n\n\n<p>Zero divided by zero is also considered as \u201cindeterminate form.\u201d<\/p>\n\n\n\n<p>$\\frac{0}{0} =$<strong> Indeterminate<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-undefined-vs-indeterminate\">Undefined vs. Indeterminate<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Undefined<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Indeterminate<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">A quantity that is not defined. There is no meaningful value. It does not exist. The operation does not make any sense.&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">It is defined but not known. There is a value, but it cannot be precisely determined.&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">There is no solution or the operation results in an invalid value. It has no meaningful interpretation.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It arises when an operation results in an infinite number of possible solutions. Value cannot be uniquely determined without additional context or information.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">When a non-zero number is divided by 0, the result is undefined.<\/td><td class=\"has-text-align-left\" data-align=\"left\">When 0 is divided by 0, it is said to be indeterminate.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">$\\frac{a}{0} =$ <strong>Undefined<\/strong> \u2026$a \\neq 0$<\/td><td class=\"has-text-align-left\" data-align=\"left\">$\\frac{0}{0} =$<strong> Indeterminate<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-division-by-0\">Facts about Division by 0<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Any non-zero real number raised to the power of 0 will result in 1. $(a^{0} = 1)$<\/li>\n\n\n\n<li>Zero is neither a positive integer nor a negative integer. It is considered a non-negative as well as non-positive integer. It is a neutral integer.<\/li>\n\n\n\n<li>Zero is a whole number but not a natural number.<\/li>\n\n\n\n<li>0 is considered as an additive identity for real numbers. ($a + 0 = a$ for any real number.)<\/li>\n\n\n\n<li>Multiplication of any real number with 0 gives 0. $(a&nbsp;\\times 0 = 0)$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>Division by zero is rarely encountered in real life. But the same is taught in mathematics to make children aware of possible and impossible situations. The division of any number by zero is meaningless and hence, cannot be performed.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-division-by-zero\">Solved Examples on Division by Zero<\/h2>\n\n\n\n<p><strong>1. Simplify the expression <\/strong>$59 \\div 0$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The above statement can be written as:<\/p>\n\n\n\n<p>$\\frac{5}{9} \\times \\frac{1}{0} = \\frac{5}{0}$<\/p>\n\n\n\n<p>As stated, division of any number by zero is not defined. Thus, the expression is undefined.&nbsp;<\/p>\n\n\n\n<p><strong>2. What would be the answer if we divide -4 by zero?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Regardless of the sign, division by zero is not possible.&nbsp;<\/p>\n\n\n\n<p>Therefore, the answer to the division of -4 by zero will be undefined.&nbsp;<\/p>\n\n\n\n<p><strong>3. What is the value of <\/strong>$\\frac{0}{100}$<strong>? What is the value of <\/strong>$\\frac{100}{0}$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Zero divided by any non-zero number is zero.<\/p>\n\n\n\n<p>Thus, $\\frac{0}{100} = 0$<\/p>\n\n\n\n<p>Any non-zero number divided by 0 is not defined.<\/p>\n\n\n\n<p>$\\frac{100}{0} =$<strong> Undefined<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-division-by-zero\">Practice Problems on Division by Zero<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Division by Zero - Definition, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What happens when you divide by zero?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Division is not defined.<\/div><div class=\"spq_answer_block\" data-value=\"1\">The answer is 1.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Division is defined.<\/div><div class=\"spq_answer_block\" data-value=\"3\">The answer will be 0.<\/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: Division is not defined.<br\/>Division by 0 is not defined.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">0 divided by 0 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">defined<\/div><div class=\"spq_answer_block\" data-value=\"1\">0<\/div><div class=\"spq_answer_block\" data-value=\"2\">1<\/div><div class=\"spq_answer_block\" data-value=\"3\">indeterminate<\/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: indeterminate<br\/>0 divided by 0 is indeterminate.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">$\\frac{0}{a} =$ <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">a<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">Undefined<\/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: 0<br\/>$\\frac{0}{a} = 0$<\/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\": \"Division by Zero - Definition, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Division by Zero\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What 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                   \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Undefined\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{0}{a} = 0$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{0}{a} = 0$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{0}{a} = 0$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-on-division-by-zero\">Frequently Asked Questions on Division by Zero<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-8dc25eca-304f-44f3-9369-1f09690d278b\" 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-0-8dc25eca-304f-44f3-9369-1f09690d278b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8dc25eca-304f-44f3-9369-1f09690d278b\"><strong>Can we divide by zero?<\/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-0-8dc25eca-304f-44f3-9369-1f09690d278b\">\n\n<p>The division of the real number by zero is undefined.<\/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-1-8dc25eca-304f-44f3-9369-1f09690d278b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8dc25eca-304f-44f3-9369-1f09690d278b\"><strong>Is the division by zero imaginary?<\/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-1-8dc25eca-304f-44f3-9369-1f09690d278b\">\n\n<p><strong>Division by zero<\/strong> is impossible as it does not make sense. Thus, the division by zero is not even imaginary.<\/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-2-8dc25eca-304f-44f3-9369-1f09690d278b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8dc25eca-304f-44f3-9369-1f09690d278b\"><strong>What is 0 divided by any non-zero number?<\/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-2-8dc25eca-304f-44f3-9369-1f09690d278b\">\n\n<p>Zero divided by a non-zero number is 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-3-8dc25eca-304f-44f3-9369-1f09690d278b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8dc25eca-304f-44f3-9369-1f09690d278b\"><strong>What is the value of any non-zero real number raised to zero?<\/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-3-8dc25eca-304f-44f3-9369-1f09690d278b\">\n\n<p>The value of any non-zero real number raised to zero is 1.<\/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-4-8dc25eca-304f-44f3-9369-1f09690d278b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8dc25eca-304f-44f3-9369-1f09690d278b\"><strong>Is anything divided by 0 undefined?<\/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-4-8dc25eca-304f-44f3-9369-1f09690d278b\">\n\n<p>Any number divided by zero is undefined. Zero divided by zero is termed as indeterminate.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Division by Zero in Math? Division by zero is not defined. Division by 0 refers to a division problem having a non-zero number as a dividend (numerator) and zero as a divisor (denominator).&nbsp; Division is a process of splitting a number or a quantity into equal parts. A division problem consists of a &#8230; <a title=\"Division by Zero &#8211; Definition, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division-by-zero\" aria-label=\"More on Division by Zero &#8211; Definition, Examples, Facts, FAQs\">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-31602","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\/31602","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=31602"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31602\/revisions"}],"predecessor-version":[{"id":31621,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31602\/revisions\/31621"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}