{"id":1400,"date":"2022-04-19T08:22:59","date_gmt":"2022-04-19T08:22:59","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1400"},"modified":"2023-02-14T16:37:12","modified_gmt":"2023-02-14T16:37:12","slug":"partition-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition","title":{"rendered":"What is Partitioning in Math? Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-44ebcbc5-9cab-4e2b-8453-1a683f1ffcbe\" 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\/fractions\/partition#0-what-is-partitioning-in-math>What Is Partitioning in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition#1-partitioning-numbers>Partitioning Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition#2-partitioning-of-shapes>Partitioning of Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition#3-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here\u2019s an interesting thing about math\u2014you will need it in real-life scenarios, but you may not always have a pencil\/pen and paper to solve the calculations.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">But by learning partitions in math, you can visualize mathematical problems and solve them in your head\u2014without needing a pencil, paper, or a calculator!<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">You must be wondering what is Partition in Maths? Let&#8217;s see what it is and how we use it.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-partitioning-in-math\">What Is Partitioning in Math?<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"338\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-1.png\" alt=\"Partitioning in Math\" class=\"wp-image-7241\" title=\"Partitioning in Math\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-1-300x164.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using partitioning in mathematics makes math problems easier as it helps you break down large numbers into smaller units. We can also partition complex shapes to form simple shapes that help make calculations easier.<\/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\/add-decimal-fractions-using-equivalence\" 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\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence 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 Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-using-models\" 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_add_unlike_models_pt.png\" alt=\"Add Fractions using Models 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 Fractions using Models Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-with-the-aid-of-a-number-line\" 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_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne 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 Fractions WIth the Aid of a Number LIne Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions\" 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_add_like_frac_sum_upto_1_pt.png\" alt=\"Add Like Fractions 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 Like Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-greater-than-1\" 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_find_sum_pt.png\" alt=\"Add Like Fractions Greater than 1 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 Like Fractions Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-to-get-a-sum-greater-than-1\" 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_add_like_frac_sum_greater_than_1_pt.png\" alt=\"Add Like Fractions to Get a Sum Greater than 1 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 Like Fractions to Get a Sum Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-using-number-lines\" 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_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines 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 Like Fractions using Number Lines Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-unlike-fractions\" 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_add_unlike_pt.png\" alt=\"Add Unlike Fractions 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 Unlike Fractions 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\/are-the-fractions-equivalent\" 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_identify_equi_visual_model_pt.png\" alt=\"Are the Fractions Equivalent 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\">Are the Fractions Equivalent 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\/area-word-problems-on-product-of-fractions\" 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_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions 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\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-partitioning-numbers\">Partitioning Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>a) Addition by Partitioning<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us think of a number like 956. Now let us add another number, 378, to it. Does this problem seem difficult to solve?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Don&#8217;t worry. You will learn a new trick to break down such numbers for easy addition.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us start with 956. You can partition this number as<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">900 + 50 + 6<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, we have separated the numbers into units, tens, and hundreds.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, let us partition 378 into units, tens, and hundreds.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">300 + 70 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When you write numbers like these, you can visualize them easily in your mind and find it easier to work with them.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, you can break down the problem to add 956 and 378:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">956 + 378<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">900 + 50 + 6 + 300 + 70 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Upon adding the tens, units, and hundreds, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">1200 + 120 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">1200 + 128<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 1328<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Wasn&#8217;t that easy and fun? Let&#8217;s learn how to solve more mathematical calculations using partitions.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>b) Partitioning in Subtraction<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">You can also use partitioning for subtracting two numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us understand this with an example:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose you have to subtract 42 from 95, you can start by breaking the numbers into units and tens.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, 95 = 90 + 5<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">and 42 = 40 + 2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">95 \u2212 42 = 90 + 5 \u2212 (40 + 2)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 90 + 5 \u2212 40 \u2212 2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 90 \u2212 40 + 5 \u2212 2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 50 + 3<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 53<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>c) Different Ways of Partitioning Numbers<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There are different ways to partition a number. One way is to divide it into hundreds, tens, and units, as we have done above.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">However, that&#8217;s not the only way.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Depending upon the numbers you are working with, you can divide numbers differently.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand this with an example:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Take the number 104. Suppose you have to subtract 4 from it.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this equation, we should first separate the number into hundreds and units.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, 104 = 100 + 4<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">On subtracting 4 from this number, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">100 + 4 \u2212 4<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 100<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">However, if you have to subtract 50 from 104, you can break it down as<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">104 = 50 + 50 + 4<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">On subtracting 50 from this number, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">50 + 50 + 4 \u2212 50<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 54<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" 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id=\"2-partitioning-of-shapes\">Partitioning of Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Partitioning also refers to dividing shapes or sets into equal or unequal parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s talk about shapes first.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A diameter or a line that passes through the center of a circle divides it into two equal parts. Look at the illustration given below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-2.png\" alt=\"Partitioning of a Circle\" class=\"wp-image-7242\" title=\"Partitioning of a Circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-2-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">As you can see here, the circle is divided into two equal parts by line AB. You can represent each part as 1\/2 or&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The area of each half = 1\/2 x area of the circle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, let\u2019s consider a rectangle and partition it into three equal parts.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-3.png\" alt=\"Partitioning of a Rectangle\" class=\"wp-image-7243\" title=\"Partitioning of a Rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-3-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">As seen here, you can represent each part as 1\/3 or<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The area of each equal part = 1\/3 x area of the rectangle<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, if you partition a square into four equal parts, you get an illustration like this:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-4.png\" alt=\"Partitioning of a Square\" class=\"wp-image-7244\" title=\"Partitioning of a Square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-4-300x156.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here the area of each part = 1\/4 x the area of the square.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">You can also divide a shape into unequal parts. You can consider the below examples to understand this. Here, each part is not partitioned equally.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"459\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-5.png\" alt=\"Divide a shape into unequal parts\" class=\"wp-image-7245\" title=\"Divide a shape into unequal parts\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Partition-in-Math-5-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1. Add the numbers 566 and 768 using the partitioning method.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: Let\u2019s first partition 566<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">566 = 500 + 60 + 6<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">768 = 700 + 60 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, 566 + 768<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 500 + 60 + 6 + 700 + 60 + 8<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 500 + 700 + 60 + 60 + 8 + 6&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 1200 + 120 + 14<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 1200 + 134<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 1334<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2. Subtract 85 from 420 using the partition method.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: Let\u2019s first partition the numbers into hundreds, tens, and units.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">420 \u2212 85<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 400 + 20 \u2212 ( 80 + 5)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 400 + 20 \u2212 80 \u2212 5<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 400 \u2212 60 \u2212 5<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 400 \u2212 65<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 335<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3. Calculate the area of each part of a circle divided into two parts by a diameter. The area of the circle is 20 sq. cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: We know that a diameter divides a circle into two equal parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, the area of each half = 1\/2 x the area of the circle<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area of circle = 20 sq. cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area of each half = 1\/2 x 20<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">= 10 sq. cm<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Partitioning in Math? Meaning, Definition, and Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What do you get when you add 59 and 322 using the partition method?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">451<\/div><div class=\"spq_answer_block\" data-value=\"1\">381<\/div><div class=\"spq_answer_block\" data-value=\"2\">361<\/div><div class=\"spq_answer_block\" data-value=\"3\">401<\/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: 381<br\/>Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381<\/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\">What do you get when you subtract 65 from 876 using the partitioning method?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">811<\/div><div class=\"spq_answer_block\" data-value=\"1\">711<\/div><div class=\"spq_answer_block\" data-value=\"2\">822<\/div><div class=\"spq_answer_block\" data-value=\"3\">801<\/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: 811<br\/>876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811<\/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\">Calculate the area of each part of a circle partitioned into two parts by a diameter. The area of the circle is 100 sq. cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">200<\/div><div class=\"spq_answer_block\" data-value=\"1\">25<\/div><div class=\"spq_answer_block\" data-value=\"2\">50<\/div><div class=\"spq_answer_block\" data-value=\"3\">75<\/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: 50<br\/>We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">A square of area 75 sq. m. is partitioned into 3 equal parts. Calculate the area of each equal part of the square.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15<\/div><div class=\"spq_answer_block\" data-value=\"1\">27.5<\/div><div class=\"spq_answer_block\" data-value=\"2\">50<\/div><div class=\"spq_answer_block\" data-value=\"3\">25<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 25<br\/>We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m<\/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\": \"What is Partitioning in Math? Meaning, Definition, and Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"What is Partitioning in Math?\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What do you get when you add 59 and 322 using the partition method?\",\n                    \"text\": \"What do you get when you add 59 and 322 using the partition method?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"451\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"361\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"401\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"381\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let us partition 59.<br>\r\nWe get 59 = 50 + 9<br>\r\nLet us partition 322.<br>\r\nWe get 300 + 20 + 2<br>\r\nOn adding both the numbers, we get<br>\r\n50 + 9 + 300 + 20 + 2<br>\r\n= 300 + 50 + 20 + 9 + 2<br>\r\n= 300 + 70 + 11<br>\r\n= 381\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What do you get when you subtract 65 from 876 using the partitioning method?\",\n                    \"text\": \"What do you get when you subtract 65 from 876 using the partitioning method?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"711\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"822\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"801\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"811\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"876 - 65<br>\r\n= 800 + 70 + 6 \u2212 ( 60 + 5)<br>\r\n= 800 + 70 \u2212 60 + 6 \u2212 5<br>\r\n= 800 + 10 + 1<br>\r\n= 811\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Calculate the area of each part of a circle partitioned into two parts by a diameter. The area of the circle is 100 sq. cm.\",\n                    \"text\": \"Calculate the area of each part of a circle partitioned into two parts by a diameter. The area of the circle is 100 sq. cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"200\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"75\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"50\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that a diameter divides a circle into two equal parts.<br>\r\nThus, the area of each half = 1\/2 x the area of the circle<br>\r\nArea of the circle = 100 sq. cm.<br>\r\nThe area of each half = 1\/2 x 100<br>\r\n= 50 sq. cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A square of area 75 sq. m. is partitioned into 3 equal parts. Calculate the area of each equal part of the square.\",\n                    \"text\": \"A square of area 75 sq. m. is partitioned into 3 equal parts. Calculate the area of each equal part of the square.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"27.5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"25\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know the area of each third = 1\/3 x the area of the square<br>\r\nArea of the circle = 75 sq. cm.<br>\r\nThe area of each third = 1\/3 x 75<br>\r\n= 25 sq. m\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\" 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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\"><strong>Is there a formula to calculate the area of unequal parts of a shape?<\/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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\">\n\n<p class=\"wp-block-paragraph\">No, there is no standard formula to calculate the area of unequal parts of a shape.<\/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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\"><strong>Can we divide numbers into equal parts?<\/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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\">\n\n<p class=\"wp-block-paragraph\">Yes, you can use fractions to divide numbers into equal parts. You can divide a number by 2 to calculate two equal parts, divide it by 3 to calculate three equal parts, and so on.<\/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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\"><strong>Is partitioning necessary for solving all kinds of problems?<\/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-a4b0dfe8-1cf7-4b27-9780-19acaa66743e\">\n\n<p class=\"wp-block-paragraph\">No, it is not necessary. However, it does help you simplify numbers and perform easy calculations.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here\u2019s an interesting thing about math\u2014you will need it in real-life scenarios, but you may not always have a pencil\/pen and paper to solve the calculations.&nbsp; But by learning partitions in math, you can visualize mathematical problems and solve them in your head\u2014without needing a pencil, paper, or a calculator! You must be wondering what &#8230; <a title=\"What is Partitioning in Math? Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/partition\" aria-label=\"More on What is Partitioning in Math? 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-1400","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\/1400","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=1400"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1400\/revisions"}],"predecessor-version":[{"id":24524,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1400\/revisions\/24524"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}