{"id":1263,"date":"2022-04-18T08:20:14","date_gmt":"2022-04-18T08:20:14","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1263"},"modified":"2024-04-02T09:53:20","modified_gmt":"2024-04-02T09:53:20","slug":"equivalent-decimals-definition-with-examples-copy","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division","title":{"rendered":"Area Model Division"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-0db00fa7-ce50-4c13-a667-960ad765e745\" 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\/area-model-division#0-what-is-the-area-model-division>What is the Area Model Division?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division#1-introducing-area-model-division>Introducing Area Model Division<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division#4-benefits-of-using-area-model-division>Benefits of Using Area Model Division<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">When they first learn how to divide numbers in school, most people are taught the traditional method of finding a common denominator and then doing long division.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">However, there\u2019s an alternative that can make the problem of dividing fractions or other numbers much easier. It\u2019s called the area model method. Let\u2019s learn more about it!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-the-area-model-division\">What is the Area Model Division?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\">area<\/a> of a shape is the space occupied by the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\">shape<\/a>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If a <a href=\"https:\/\/www.splashmath.com\/math-vocabulary\/geometry\/rectangle\">rectangle<\/a> has a length equal to 32 units and a width equal to 23 units, then we can find its area by calculating the product $32 \\times 23$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"355\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-of-a-rectangle-visual-model.png\" alt=\"Area of a rectangle: visual model\" class=\"wp-image-41612\" title=\"Area of a rectangle: visual model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-of-a-rectangle-visual-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-of-a-rectangle-visual-model-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In other words, when we consider the product $32 \\times 23$ geometrically, it can be interpreted as the area of a rectangle of length 32 units and width 23 units.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similarly, we can geometrically interpret a division problem, say $555 \\div 15$, as the missing dimension of a rectangle of area 555 square units and one side length 15 units.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-division-model-using-area-of-rectangle.png\" alt=\"Area division model using area of rectangle\" class=\"wp-image-41613\" title=\"Area division model using area of rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-division-model-using-area-of-rectangle.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-division-model-using-area-of-rectangle-300x135.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">We can divide this rectangle into several small rectangles. Then, we can calculate the length of each small rectangle and add them together to find the length of the large rectangle.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">First, consider a small rectangle of width 15 units and length 20 units. The area of this rectangle is 300 square units. So the area of the rest of the rectangle is $555$ $\u2013$ $300 = 255$ square units.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-example.png\" alt=\"Area model division example\" class=\"wp-image-41614\" title=\"Area model division example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-example-300x135.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now, we have an area of 255 square units left. Since $15 \\times 10 = 150$, another rectangle of width 15 units and length 10 units can be created.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division.png\" alt=\"Area model division\" class=\"wp-image-41616\" title=\"Area model division\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-300x135.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We are now left with an area of $255$ $\u2013$ $150 = 105$ square units. As $15 \\times 7 = 105$, the shaded rectangle has a width of 15 units and a length of 7 units.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the length of the large rectangle is $20 + 10 + 7 = 37$ units. Therefore, $555 \\div 15 = 37$.<\/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-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model 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 3 Numbers using Model 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-3-digit-and-2-digit-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_model_3d_2d_pt.png\" alt=\"Add 3-Digit and 2-Digit Numbers Using Model 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 3-Digit and 2-Digit Numbers Using Model 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-3-digit-and-3-digit-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_model_3d_3d_pt.png\" alt=\"Add 3-Digit and 3-Digit Numbers Using Model 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 3-Digit and 3-Digit Numbers Using Model 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-4-digit-and-2-digit-numbers-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\/add_sub_pv_add_model_4d_2d_pt.png\" alt=\"Add 4-Digit and 2-Digit Numbers 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 4-Digit and 2-Digit Numbers 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-4-digit-and-3-digit-numbers-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\/add_sub_pv_add_model_4d_3d_pt.png\" alt=\"Add 4-Digit and 3-Digit Numbers 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 4-Digit and 3-Digit Numbers 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-4-digit-and-4-digit-numbers-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\/add_sub_pv_add_model_4d_4d_pt.png\" alt=\"Add 4-Digit and 4-Digit Numbers 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 4-Digit and 4-Digit Numbers 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-decimals-greater-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model 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 Decimals (Greater than 1) Using Model 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-decimals-less-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model 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 Decimals (Less than 1) Using Model 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-doubles-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\/add_sub_facts_doubles_w20_using_models_pt.png\" alt=\"Add Doubles 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 Doubles 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-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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-introducing-area-model-division\">Introducing Area Model Division<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s learn how to use area model division to divide 825 by 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><a href=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/697b30fe05ad4f37a15b2257e3534ffc\/1571746426_area-model-division-1.png\">Via<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"316\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-area-model-division.png\" alt=\"Example of Area model division\" class=\"wp-image-41617\" title=\"Example of Area model division\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-area-model-division.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-area-model-division-300x153.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: Let\u2019s start by breaking 825 into 500, 300, and 25, which are fairly easy to divide by 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: Now, let&#8217;s divide these partial dividends by the divisor 5 to get partial quotients:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">500 divided by 5 gives us 100,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">300 divided by 5 gives us 60,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">and lastly, 25 divided by 5 gives us 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: Finally, let&#8217;s add all partial quotients to get the final quotient:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">100 + 60 + 5 gives us 165. Now, we have our final product, which is 165.&nbsp;<\/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\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models 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 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class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-using-part-part-whole-model.jpeg\" alt=\"Add Using Part-Part-Whole Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-area-model-division-with-a-remainder\">Area Model Division with a Remainder<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Sometimes, you\u2019ll want to divide numbers that don\u2019t divide evenly from one another. In these cases, it can be helpful to use an area model.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s look at some division area model examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Divide 443 by 4 using area model division.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: Let\u2019s break the numbers into 400, 40, and 3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-with-remainder.png\" alt=\"Area model division with remainder\" class=\"wp-image-41618\" title=\"Area model division with remainder\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-with-remainder.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-with-remainder-300x153.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: Dividing 400 by 4, we get 100,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">40 divided by 4 gives us 10,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since 3 cannot be divided by 4, it will be our remainder.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: Now, we need to add 100 and 10 together to get a quotient, which gives us 110.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, our final product is quotient $= 110$, remainder $= 3$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-area-model-for-dividing-decimal-numbers\">Area Model for Dividing Decimal Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Dividing decimal numbers can be challenging, but it doesn\u2019t have to be. When you know how to use a few tricks like reducing decimals or using an area model, dividing decimals becomes much easier. Let\u2019s learn the steps through area model division problems.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Divide 225.5 by 5 using area model&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: We can divide the decimal numbers exactly like the regular ones by removing the decimal and adding it in the final step.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So instead of dividing 225.5 by 5, we will divide 2255 by 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: Now, let\u2019s break them into easily divisible numbers, which are: 2000, 200, 50, and 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"316\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-for-dividing-decimals.png\" alt=\"Area model division for dividing decimals\" class=\"wp-image-41619\" title=\"Area model division for dividing decimals\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-for-dividing-decimals.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-for-dividing-decimals-300x153.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: Now, let\u2019s divide each by 5:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2000 divided by 5 is 400<\/p>\n\n\n\n<p class=\"eplus-wrapper\">200 divided by 5 is 40<\/p>\n\n\n\n<p class=\"eplus-wrapper\">50 divided by 5 is 10<\/p>\n\n\n\n<p class=\"eplus-wrapper\">5 divided by 5 is 1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 4: Now, let\u2019s add them together: $400 + 40 + 10 + 1$, giving us 451.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 5: Finally, let\u2019s add the decimal we removed earlier. So, 451 will become 45.1, which is our final quotient.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-benefits-of-using-area-model-division\">Benefits of Using Area Model Division<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">1. It makes it easier to divide fractions or decimal numbers by multiplying them instead of trying to use long division with both parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2. It is a good way to help students remember how subtraction or \u201ctake away\u201d works.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3. It helps students solve long divisions easily and also helps them understand the process of dividing numbers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Divide 728 by 14 using the area model.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Let\u2019s start by breaking down 728 into 700 and 28.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Dividing 700 by 14 gives us 50, and 28 divided by 14 is 2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"179\" height=\"186\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/division-using-area-model.png\" alt=\"division using area model\" class=\"wp-image-41620\" title=\"division using area model\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now, let\u2019s add these two to get the quotient $(50 + 2)$, which gives us 52.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Divide 624 by 3 using the area model of division.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Let\u2019s start by breaking down 624, which gives us 600 and 24.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\" id=\"Dividing-two-numbers-using-area-model\"><img loading=\"lazy\" decoding=\"async\" width=\"174\" height=\"186\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/breaking-down-624.png\" alt=\"breaking down 624\" class=\"wp-image-41621\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">600 divided by 3 gives us 200, and 24 divided by 3 gives us 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On adding the two, we get 208.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Divide 3213 by 4 using the area model of division.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Let\u2019s start by breaking down 3214, which gives us 3200 and 14.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"186\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-model-division-with-remainder-example.png\" alt=\"area model division with remainder example\" class=\"wp-image-41623\" title=\"area model division with remainder example\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">3200 divided by 4 gives us 800,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">14 divided by 4 gives us 3, with a remainder of 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the final answer is 803, with a remainder of 2.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. What is the quotient when you divide 4977 by 7 using area model?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: First, let\u2019s break down 4977 into 4900 and 77.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"183\" height=\"186\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example4.png\" alt=\"finding quotient using area model division\" class=\"wp-image-12877\" title=\"finding quotient using area model division\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Dividing 4900 by 7, we get 700,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">and 77 divided by 7 gives us 11<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Adding these numbers $(700 + 11)$ gives us 711<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the final answer is 711.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area Model Division<\/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 is the quotient when you divide 345 by 5 using the area model?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">64<\/div><div class=\"spq_answer_block\" data-value=\"1\">69<\/div><div class=\"spq_answer_block\" data-value=\"2\">60<\/div><div class=\"spq_answer_block\" data-value=\"3\">59<\/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: 69<br\/>Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example5.png\"><\/div><\/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\">What is the answer when you divide 246 by 4 using the area model?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">quotient $= 62$, and remainder $= 1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">quotient $= 61$, and remainder $= 1$<\/div><div class=\"spq_answer_block\" data-value=\"2\">quotient $= 62$, and remainder $= 2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">quotient $= 61$, and remainder $= 2$<\/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: quotient $= 61$, and remainder $= 2$<br\/>On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example6.png\"><\/div><\/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\">What is the quotient when you divide 29.7 by 3 using the area model?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11<\/div><div class=\"spq_answer_block\" data-value=\"1\">10.3<\/div><div class=\"spq_answer_block\" data-value=\"2\">9.9<\/div><div class=\"spq_answer_block\" data-value=\"3\">9.3<\/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: 9.9<br\/>First, let\u2019s start by removing the decimal, which makes $29.7 = 297$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $(90 + 9)$ gives us 99<br>\r\nUsing the decimal point makes it 9.9<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example7.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the quotient when you divide 69.20 by 4 using the area model?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">14.4<\/div><div class=\"spq_answer_block\" data-value=\"1\">10.3<\/div><div class=\"spq_answer_block\" data-value=\"2\">17.3<\/div><div class=\"spq_answer_block\" data-value=\"3\">9.3<\/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: 17.3<br\/>First, let\u2019s start by removing the decimal, which makes $69.20 = 6920$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $(1700+30)$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example8.png\"><\/div><\/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\": \"Area Model Division\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area Model Division\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the quotient when you divide 345 by 5 using the area model?\",\n                    \"text\": \"What is the quotient when you divide 345 by 5 using the area model?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"64\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"59\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"69\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example5.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let\u2019s start by breaking down the numbers, which gives us 300 and 45.<br>\r\nNow, let\u2019s divide them individually.<br>\r\n300 divided by 5 is 60,<br>\r\n45 divided by 5 is 9,<br>\r\nAdding all these numbers together (60 + 9) gives us 69.<br>\r\nSo, the quotient is 69. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example5.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the answer when you divide 246 by 4 using the area model?\",\n                    \"text\": \"What is the answer when you divide 246 by 4 using the area model?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"quotient $$= 62$$, and remainder $$= 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"quotient $$= 61$$, and remainder $$= 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"quotient $$= 62$$, and remainder $$= 2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"quotient $$= 61$$, and remainder $$= 2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example6.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On breaking down 246, we get: 200, 44, and 2.<br>\r\n200 divided by 4 is 50,<br>\r\n44 divided by 4 is 11,<br>\r\nand 2 can not be divided by 4, so it will be a remainder.<br>\r\nOn adding 50 and 11, we get 61. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example6.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the quotient when you divide 29.7 by 3 using the area model?\",\n                    \"text\": \"What is the quotient when you divide 29.7 by 3 using the area model?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10.3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9.3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"9.9\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9 <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example7.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"First, let\u2019s start by removing the decimal, which makes $$29.7 = 297$$<br>\r\nLet\u2019s break down 297 into 270 and 27.<br>\r\nDividing 270 by 3, we get 90,<br>\r\nand 27 divided by 3 gives us 9.<br>\r\nAdding these numbers $$(90 + 9)$$ gives us 99<br>\r\nUsing the decimal point makes it 9.9 <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example7.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the quotient when you divide 69.20 by 4 using the area model?\",\n                    \"text\": \"What is the quotient when you divide 69.20 by 4 using the area model?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14.4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10.3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9.3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"17.3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30 <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example8.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"First, let\u2019s start by removing the decimal, which makes $$69.20 = 6920$$<br>\r\nLet's break down 6920 into 6800 and 120.<br>\r\nDividing 6800 by 4, we get 1700,<br>\r\nand dividing 120 by 4 gives us 30.<br>\r\nAdding these numbers $$(1700+30)$$ gives us 1730<br>\r\nUsing the decimal point makes it 17.30 <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/example8.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\" 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-0-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\"><strong>Can area model division be used for fractions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\">\n\n<p>Yes, you can efficiently use area model division to divide fractions.<\/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-1-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\"><strong>Can the area model be used for multiplication?<\/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-1-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\">\n\n<p>Yes, you can use area models to solve a multiplication problem with large numbers. The multiplicands will be the length and breadth of a rectangle, and their product will be the area of the rectangle.<\/p>\n\n\n\n<p>To find the area, you divide the rectangle into smaller segments. The sum of the areas of the smaller rectangles gives you the total area, which will be the product. This method is also called box multiplication.<\/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-2-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\"><strong>What is the purpose of the area model division?<\/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-2-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\">\n\n<p>Area model division helps students visualize and make longer division problems easier to solve.<\/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-3-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\"><strong>Why is the area model for division important?<\/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-3-0dfb7ab3-67e3-49a7-b2c0-4ab107562478\">\n\n<p>Division using area models gives students another perspective on math equations, which is extremely valuable since not all kids (or adults) think in the same way.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>When they first learn how to divide numbers in school, most people are taught the traditional method of finding a common denominator and then doing long division. However, there\u2019s an alternative that can make the problem of dividing fractions or other numbers much easier. It\u2019s called the area model method. Let\u2019s learn more about it! &#8230; <a title=\"Area Model Division\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/area-model-division\" aria-label=\"More on Area Model Division\">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-1263","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\/1263","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=1263"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1263\/revisions"}],"predecessor-version":[{"id":41624,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1263\/revisions\/41624"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}