{"id":1486,"date":"2022-04-19T12:18:33","date_gmt":"2022-04-19T12:18:33","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1486"},"modified":"2024-03-27T06:37:41","modified_gmt":"2024-03-27T06:37:41","slug":"bar-model-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model","title":{"rendered":"Bar Model in Math &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-6b12ca7f-29ae-4a0a-8990-104fb03b668f\" 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\/geometry\/bar-model#0-what-is-a-bar-model-in-math>What is a Bar Model in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model#1-types-of-bar-models->Types of Bar Models&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model#11-bar-model-fractions>Bar Model Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model#13-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model#14-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model#15-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-bar-model-in-math\">What is a Bar Model in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A bar model is one such tool that helps us visualize the given math problem using different-sized rectangles or bars. The size of the bars are proportional to the numbers that it represents.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s take up some bar model examples to understand them better.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/understanding-bar-model.png\" alt=\"Understanding Bar Model\" class=\"wp-image-41261\" title=\"Understanding Bar Model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/understanding-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/understanding-bar-model-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the given example, the green bar represents 8 apples, and the yellow bar represents 3 pears. And their combination represents the total number of fruits, that is, $8 + 3$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We can represent other operations like subtraction, multiplication, and division using a bar model, too. We can also show a comparison of numbers using this model.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/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-types-of-bar-models-\">Types of Bar Models&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The different types of bar models include&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Part-Part-Whole Model<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Equal Parts of a Whole Model<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Comparison Model<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-part-part-whole-model\">Part-Part-Whole Model<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The part-part-whole model consists of two parts that together form a whole. This model can be used to show addition and subtraction.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"489\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/part-part-whole-model.png\" alt=\"Part-part-whole model\" class=\"wp-image-41262\" title=\"Part-part-whole model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/part-part-whole-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/part-part-whole-model-300x237.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-equal-parts-of-a-whole-model\">Equal Parts of a Whole Model<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The equal parts of a whole model consist of multiple equal parts that together form a whole. This model can be used to show multiplication and division.<\/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\/2024\/03\/equal-parts-of-a-whole-model.png\" alt=\"Equal parts of a whole model\" class=\"wp-image-41263\" title=\"Equal parts of a whole model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equal-parts-of-a-whole-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equal-parts-of-a-whole-model-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-comparison-model\">Comparison Model<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The comparison model consists of two or more bars placed one below the other to compare the quantities.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"419\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/comparison-model.png\" alt=\"Comparison model\" class=\"wp-image-41264\" title=\"Comparison model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/comparison-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/comparison-model-300x203.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-fraction-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-fraction-models.jpeg\" alt=\"Add Fractions Using Fraction 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-visual-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-visual-models.jpeg\" alt=\"Add Fractions Using Visual 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-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-like-fractions-using-area-models.jpeg\" alt=\"Add Like 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-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-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-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-mixed-numbers-and-fractions-using-models.jpeg\" alt=\"Add 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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                   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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=\"5-making-bar-models-to-solve-word-problems\">Making Bar Models to Solve Word Problems<\/h2>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper has-medium-font-size\" id=\"6-bar-model-addition\">Bar Model Addition<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Sam has 5 red marbles and 4 green marbles. Find the total number of marbles with Sam.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, we are given a number of red and green marbles, and we need to find the total number of marbles. This means that the parts are known and the whole is unknown. So, we add the parts to find the whole.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"361\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-an-addition-problem-using-a-bar-model.png\" alt=\"Visualizing an addition problem using a bar model\" class=\"wp-image-41265\" title=\"Visualizing an addition problem using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-an-addition-problem-using-a-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-an-addition-problem-using-a-bar-model-300x175.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper has-medium-font-size\" id=\"7-bar-model-subtraction\">Bar Model Subtraction<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Kate has 10 flowers, out of which 2 are roses and the rest are daisies. How many daisies does Kate have?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, we are given a total number of flowers and the number of roses, and we need to find the number of daisies. This means the whole and one part are known, and the other part is unknown. So, we subtract the given part from the whole to find the other part using the subtraction bar model.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-subtraction-problem-using-a-bar-model.png\" alt=\"Visualizing a subtraction problem using a bar model\" class=\"wp-image-41266\" title=\"Visualizing a subtraction problem using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-subtraction-problem-using-a-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-subtraction-problem-using-a-bar-model-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper has-medium-font-size\" id=\"8-multiplication-bar-model\">Multiplication Bar model<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Beth has 4 bags of 8 candies each. How many candies does she have?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, we have candies divided equally among 4 bags. We know the number of bags and the number of candies in each bag. So, we need to find the total number of candies.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">According to the model, we know the number of equal parts and the size of each part. So, we multiply them to find the unknown whole.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-multiplication-problem-using-a-bar-model.png\" alt=\"Visualizing a multiplication problem using a bar model\" class=\"wp-image-41267\" title=\"Visualizing a multiplication problem using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-multiplication-problem-using-a-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-multiplication-problem-using-a-bar-model-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper has-medium-font-size\" id=\"9-division-bar-model\">Division Bar Model<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Tim had 18 candies, which he distributed equally among 6 of his friends. How many candies did each friend get?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, we know the total number of candies and the number of friends. That is, the whole and the number of equal parts is known. We need to find the number of candies each friend will get, that is, the size of each part is unknown. We divide the whole by the number of parts to get the answer.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-division-problem-using-a-bar-model.png\" alt=\"Visualizing a division problem using a bar model\" class=\"wp-image-41268\" title=\"Visualizing a division problem using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-division-problem-using-a-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-division-problem-using-a-bar-model-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper has-medium-font-size\" id=\"10-comparison\">Comparison<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Lily has 10 crayons. James has 2 more crayons than Lily. How many crayons does James have?&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, the number of crayons with Lily (Quantity A) and how many more crayons James has (difference) is known. We need to find the number of crayons with James (Quantity B).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"449\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-comparison-problem-using-a-bar-model.png\" alt=\"Visualizing a comparison problem using a bar model\" class=\"wp-image-41269\" title=\"Visualizing a comparison problem using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-comparison-problem-using-a-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visualizing-a-comparison-problem-using-a-bar-model-300x217.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-bar-model-fractions\">Bar Model Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Bar models can also be used to show fractions, as shown below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"665\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/fraction-bar-model.png\" alt=\"Fraction bar model\" class=\"wp-image-41270\" title=\"Fraction bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/fraction-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/fraction-bar-model-280x300.png 280w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Bar models are a great way to visualize math problems and understand operations like subtraction, addition, multiplication, and division. They can help us compare different amounts and understand parts of a whole.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">They can make word problems much easier to solve. Let\u2019s try it!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Write an equation for the given bar model.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"95\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-the-whole-using-a-bar-model.png\" alt=\"Finding the whole using a bar model\" class=\"wp-image-41271\" title=\"Finding the whole using a bar model\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The model clearly shows that the parts are known, and the whole is unknown.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So the equation that represents this model is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8 + 12 =$ ? = Total Number of Candies<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Write an equation for the given bar model.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"95\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-a-part-using-a-bar-model.png\" alt=\"Finding a part using a bar model\" class=\"wp-image-41272\" style=\"width:276px;height:95px\" title=\"Finding a part using a bar model\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The model clearly shows that the total and one of the parts are known, while the second part is unknown.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So the equation that represents this model is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$56 +$ girls $= 85$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">or&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$85 \u2013 56 =$ ? $=$ girls&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3:&nbsp; What would be the bar model for this equation: <\/strong>$7 + 16 = 23$<strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: There are two parts, 7 and 16, that together make 23. So the model would be as follows:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"132\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/representing-an-addition-statement-using-a-bar-model.png\" alt=\"Representing an addition statement using a bar model\" class=\"wp-image-41273\" title=\"Representing an addition statement using a bar model\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 4:<\/strong> Grant has 40 fruit bars. Ken has 15 less fruit bars than Grant. How many fruit bars does Ken have?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Represent this situation using a bar model to find the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know Grant&#8217;s number of fruit bars and how many more bars he has than Ken. Clearly, this is a comparison model and can be represented as:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"104\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/representing-a-comparison-problem-using-a-bar-model.png\" alt=\"Representing a comparison problem using a bar model\" class=\"wp-image-41274\" title=\"Representing a comparison problem using a bar model\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Number of fruit bars with Ken $=$ Number of fruit bars with Grant $\u2013 15$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 40 \u2013 15 = 25$ fruit bars<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 5:<\/strong> Create a word problem for the given model.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"97\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-the-difference-using-a-bar-model.png\" alt=\"Finding the difference using a bar model\" class=\"wp-image-41275\" title=\"Finding the difference using a bar model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-the-difference-using-a-bar-model.png 312w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-the-difference-using-a-bar-model-300x93.png 300w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Solution:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Nina sells chocolate and vanilla ice cream cones. On a particular day, she sold 13 ice cream cones out of which 10 were vanilla. How many chocolate cones did she sell?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">(Please note that there can be multiple answers to this problem.)<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Bar Model in Math - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following equations correctly represents the given model?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$12 \\div 6 = \\underline{}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$6 \\times \\underline{} = 12$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$12 \\times \\underline{} = 6$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$6 \\times 12 = \\underline{}$<\/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: $6 \\times 12 = \\underline{}$<br\/>Because the missing number represents 6 units of the value 12, that is, $6 \\times 12 = \\underline{}$. <\/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\">Find the correct value for the missing number.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-2.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">4<\/div><div class=\"spq_answer_block\" data-value=\"1\">100<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/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: 4<br\/>The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $24 \\div 6 = 4$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Alex has 84 berries. He wants to eat them over 7 days, eating the same number of berries daily. Use the bar model to find how many berries he should eat daily.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11<\/div><div class=\"spq_answer_block\" data-value=\"1\">12<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">22<\/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: 12<br\/>Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $84 \\div 7$, which is 12.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-3.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\">A book consists of 5 chapters. Each chapter has an equal number of pages. Katie has read the first chapter. How many pages has Katie read if the last three chapters are 90 pages altogether? Draw a bar model to find the answer.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90 pages<\/div><div class=\"spq_answer_block\" data-value=\"1\">60 pages<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 pages<\/div><div class=\"spq_answer_block\" data-value=\"3\">120 pages<\/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: 30 pages<br\/>The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $= 90 \\div 3 = 30$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-4.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\": \"Bar Model in Math - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Bar Model in Math\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following equations correctly represents the given model?\",\n                    \"text\": \"Which of the following equations correctly represents the given model? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12 \\\\div 6 = \\\\underline{}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6 \\\\times \\\\underline{} = 12$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12 \\\\times \\\\underline{} = 6$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$6 \\\\times 12 = \\\\underline{}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Because the missing number represents 6 units of the value 12, that is, $$6 \\\\times 12 = \\\\underline{}$$. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the correct value for the missing number.\",\n                    \"text\": \"Find the correct value for the missing number. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-2.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The bar model shows a large bar of value 24, which is divided into 6 smaller bars. We need to find the value of one small part. This means we need to divide 24 by 6. Here, $$24 \\\\div 6 = 4$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Alex has 84 berries. He wants to eat them over 7 days, eating the same number of berries daily. Use the bar model to find how many berries he should eat daily.\",\n                    \"text\": \"Alex has 84 berries. He wants to eat them over 7 days, eating the same number of berries daily. Use the bar model to find how many berries he should eat daily.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12.\"\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\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"22\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"12\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-3.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Here, the total number of berries are to be divided equally over 7 days.<br>\r\nSo, we need to find $$84 \\\\div 7$$, which is 12. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-3.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A book consists of 5 chapters. Each chapter has an equal number of pages. Katie has read the first chapter. How many pages has Katie read if the last three chapters are 90 pages altogether? Draw a bar model to find the answer.\",\n                    \"text\": \"A book consists of 5 chapters. Each chapter has an equal number of pages. Katie has read the first chapter. How many pages has Katie read if the last three chapters are 90 pages altogether? Draw a bar model to find the answer.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 pages\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60 pages\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"120 pages\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30 pages\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-4.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The given model represents the situation.<br>\r\nAccording to the model, if we divide 90 by 3, we will get to know the number of pages in one chapter.<br>\r\nThe number of pages in 1 chapter $$= 90 \\\\div 3 = 30$$.<br>\r\nSince each chapter has an equal number of pages, Katie has read 30 pages. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-4.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\" 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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\"><strong>Why do bar models have different-sized boxes?<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\">\n\n<p>Bar models have different-sized boxes because the boxes represent different values or quantities. The size of each part shows how much it is as a proportion of the whole.<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\"><strong>How can we write an addition statement where the whole and one part in the bar model are known?<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\">\n\n<p>We can write it like this:&nbsp; $3 +$ ? $= 24$?<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\"><strong>How do bar models help solve math 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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\">\n\n<p>Bar models help solve math problems because they show us a visual representation of the problem and help us understand the missing number. They also help us compare different numbers or quantities and see how they relate to each other.<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\"><strong>Can we represent different forms of numbers such as fractions, percentages, and decimals using a bar model?<\/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-ea2d991c-01ac-4eb4-a79e-80b84e18e6dd\">\n\n<p>Yes, we can represent fractions, percentages, and decimals using bar models.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is a Bar Model in Math? A bar model is one such tool that helps us visualize the given math problem using different-sized rectangles or bars. The size of the bars are proportional to the numbers that it represents. Let\u2019s take up some bar model examples to understand them better. In the given example, &#8230; <a title=\"Bar Model in Math &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/bar-model\" aria-label=\"More on Bar Model in Math &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1486","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\/1486","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=1486"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1486\/revisions"}],"predecessor-version":[{"id":41276,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1486\/revisions\/41276"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}