{"id":2190,"date":"2022-04-27T05:14:55","date_gmt":"2022-04-27T05:14:55","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2190"},"modified":"2023-02-20T08:12:40","modified_gmt":"2023-02-20T08:12:40","slug":"decompose-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose","title":{"rendered":"Decomposing Numbers in Math\u00a0 \u2013 Definition, Methods &#038; 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-5983fb27-510a-4afa-8963-18f3c13a26e6\" 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\/number-sense\/decompose#0-what-is-decomposing-numbers>What Is Decomposing Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose#1-how-to-decompose-numbers>How to Decompose Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose#6-process-of-decomposing-shapes>Process of Decomposing Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose#8-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose#9-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\" eplus-wrapper\">Decompose means to separate or break apart. We can decompose numbers as well as geometric shapes.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Suppose you have just one sandwich made from two square-shaped bread slices, and you want to share it with your friend. What will you do?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">You can split the sandwich into two halves so that each one of you can enjoy it equally. So, now you will both have two triangle-shaped sandwiches. This means that you took a square shape and split it into two triangles. In other words, you decomposed the square to make two triangles.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Does that sound interesting? Come on then, let\u2019s learn more about decomposition.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-decomposing-numbers\">What Is Decomposing Numbers?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">It means to break apart numbers into two or more parts. All numbers can be split or broken down.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, consider the number 6. Think of the different ways in which you may separate 6 into parts.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">3 and 3<\/li>\n\n\n\n<li class=\" eplus-wrapper\">2 and 4<\/li>\n\n\n\n<li class=\" eplus-wrapper\">1 and 5<\/li>\n\n\n\n<li class=\" eplus-wrapper\">0 and 6<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">These parts are the decomposed numbers of 6.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"421\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-1.png\" alt=\"Decomposition of 6\" class=\"wp-image-6852\" title=\"Decomposition of 6\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-1-300x204.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">You can even reverse the order of the parts as well, such as:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">3 and 3<\/li>\n\n\n\n<li class=\" eplus-wrapper\">4 and 2<\/li>\n\n\n\n<li class=\" eplus-wrapper\">5 and 1<\/li>\n\n\n\n<li class=\" eplus-wrapper\">6 and 0<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"383\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-2.png\" alt=\"Decomposition of Number 6\" class=\"wp-image-6854\" title=\"Decomposition of Number 6\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-2-300x185.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" 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_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number 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\">10 and 100 More than the Same Number 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-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-10-to-a-3-digit-number\" 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_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number 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 10 to a 3-Digit Number 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-100-to-a-3-digit-number\" 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_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number 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 100 to a 3-Digit Number 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-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" 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_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order 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 in Any Order 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-numbers-using-groups-of-objects\" 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_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects 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 Groups of Objects 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-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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-how-to-decompose-numbers\">How to Decompose Numbers?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Numbers can be decomposed in two ways: place value method and the addend method.&nbsp;&nbsp;<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"2-decomposing-a-number-using-place-value-method\">Decomposing a Number Using Place Value Method<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">In this method, you separate a number into its tens and ones.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example<\/strong>: Consider the number 14. It has two digits, 1 and 4. The digit 1 is in the tens place, and the digit 4 is in the ones place. This means 14 has 1 ten and 4 ones. You can write 14 as:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">14 = 10 + 4 (1 ten + 4 ones)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, 14 can be decomposed as 10 + 4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"411\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-3.png\" alt=\"Decomposition of 14\" class=\"wp-image-6855\" title=\"Decomposition of 14\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-3-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Let us consider another example, 19. Here, digit 1 is in the tens place, and digit 9 is in the ones place. This means 19 has 1 ten and 9 ones. You can write 19 as:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">19 = 10 + 9 (1 ten + 9 ones)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, 19 can be decomposed as 10 + 9.<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"3-decomposing-a-number-using-the-addends-method\">Decomposing a Number Using the Addends Method<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">In this method, you separate a number into its different addends.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Note: Addend refers to the numbers you add to form the sum. For example, 2 + 1 = 3. Here, 2 and 1 are addends.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example<\/strong>: Consider the number 9. To decompose 9 into its addends, you will have to think of how you can create this number using smaller numbers.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">9 = 0 + 9<\/li>\n\n\n\n<li class=\" eplus-wrapper\">9 = 1 + 8<\/li>\n\n\n\n<li class=\" eplus-wrapper\">9 = 2 + 7<\/li>\n\n\n\n<li class=\" eplus-wrapper\">9 = 3 + 6<\/li>\n\n\n\n<li class=\" eplus-wrapper\">9 = 4 + 5<\/li>\n<\/ul>\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\/10-and-100-more-than-a-3-digit-number\" 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\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\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\/100-more-and-100-less-than-a-3-digit-number\" 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\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\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\/100-more-than-a-3-digit-number\" 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\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\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-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" 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>\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 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The smaller shapes may resemble the larger shape or may be entirely new shapes.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, let us take a rectangle. We can break it into several shapes. We can break it down to form smaller rectangles, triangles, a combination of squares and triangles, a combination of rectangles and triangles, etc.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Figure 4 shows some of the shapes we can get by decomposing a rectangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-4.png\" alt=\"Decomposition of rectangle\" class=\"wp-image-6856\" title=\"Decomposition of rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-4-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-decomposing-shapes-in-real-life\">Decomposing Shapes in Real Life<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Decomposition in Math is evident in day-to-day life. Some examples of decomposing shapes in real-life are:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Cutting a pizza into slices. Here, we break apart a circular figure into several sectors.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Tearing an A4 sheet of paper into two halves. Here, we split a rectangle into two smaller rectangles.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Cutting a slice of lemon in half. Here, we slice a circle into two semicircles.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-process-of-decomposing-shapes\">Process of Decomposing Shapes<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">There are no fixed rules to follow when it comes to decomposing shapes. You have to think about breaking up a shape to form smaller standard geometric shapes.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Consider figure 5 below, which depicts a rocket. When you think of it as a rocket, you will visualize a single figure. But when you think of it in terms of shapes, you will identify various geometric shapes. You can separate this figure into several smaller shapes, such as triangles, trapezoids, squares, and rectangles.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"354\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-5.png\" alt=\"Decomposition of rocket into basic shapes\" class=\"wp-image-6857\" title=\"Decomposition of rocket into basic shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Decompose-5-300x171.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Fig. 5: Figure depicting a rocket. Here, sections 1, 2, and 10 denote triangles; 3, 4, and 7 denote squares; 5 and 9 denote trapezoids; and sections 6 and 8 denote rectangles.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Decomposition in Math is an essential skill for understanding higher concepts of math and geometry. Decomposing numbers helps to develop number sense and relationships between digits. Decomposing shapes sets the stage for understanding the concepts of perimeter, area, and volume.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: Decompose the number 10.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>: For decomposing 10, we separate it into its addends.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 = 1 + 9<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 = 2 + 8<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 = 3 + 7<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 = 4 + 6<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 = 5 + 5<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Decompose the number 12.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>: in the number 12, the digit 1 is in the tens place, and the digit 2 is in the ones place. So, decomposing 12 into tens and ones will be equal to:&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">12 = 10 + 2 (1 ten + 2 ones)<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3: Can you decompose the given hexagon into three rhombuses?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"265\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-1-1.png\" alt=\"Hexagon\" class=\"wp-image-6858\" title=\"Hexagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-1-1.png 265w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-1-1-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-1-1-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-1-1-120x120.png 120w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>Yes, it is possible to decompose the given hexagon into three rhombuses.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Let us consider O to be the center of the rhombus. We draw three line segments connecting the center to the three alternate vertices of the hexagon, A, E, and C. This will give us three rhombuses, AOEF, AOCB, and DEOC.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The figure below illustrates this decomposition. &nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"272\" height=\"266\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-2.png\" alt=\"Hexagon decomposed into three rhombuses\" class=\"wp-image-6859\" title=\"Hexagon decomposed into three rhombuses\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 4: How can we decompose the given trapezoid into two triangles and a rectangle?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"279\" height=\"98\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-4-1.png\" alt=\"Trapezoid\" class=\"wp-image-6860\" title=\"Trapezoid\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>: We first draw two line segments, AE and DF, so that they meet the side BC at right angles. This will give us the rectangle AEFD and the two triangles ABE and DCF.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The figure below illustrates this decomposition.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"299\" height=\"145\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-4-2.png\" alt=\"Decomposition of Trapezoid\" class=\"wp-image-6861\" title=\"Decomposition of Trapezoid\"\/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"9-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Decomposing Numbers in Math\u00a0 \u2013 Definition, Methods & Examples<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If you decompose the given triangle into two shapes, which of the following pairs of shapes can you get?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-1-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">A rectangle and a triangle<\/div><div class=\"spq_answer_block\" data-value=\"1\">A triangle and a circle<\/div><div class=\"spq_answer_block\" data-value=\"2\">A trapezoid and a triangle<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: A trapezoid and a triangle<br\/>In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following congruent shapes can you get from a rectangle if you decompose it?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-1-2.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Triangles<\/div><div class=\"spq_answer_block\" data-value=\"1\">Rectangles<\/div><div class=\"spq_answer_block\" data-value=\"2\">Rectangles and Triangles<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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: All of the above<br\/>If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following can you get if you decompose 8?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4 + 1<\/div><div class=\"spq_answer_block\" data-value=\"1\">4 + 3<\/div><div class=\"spq_answer_block\" data-value=\"2\">6 + 2<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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 + 2<br\/>If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following can you get if you decompose 15 into tens and ones?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10 + 5<\/div><div class=\"spq_answer_block\" data-value=\"1\">10 + 2<\/div><div class=\"spq_answer_block\" data-value=\"2\">7 + 10<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: 10 + 5<br\/>Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Decomposing Numbers in Math\u00a0 \u2013 Definition, Methods & Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Decomposing Numbers in Math\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If you decompose the given triangle into two shapes, which of the following pairs of shapes can you get?\",\n                    \"text\": \"If you decompose the given triangle into two shapes, which of the following pairs of shapes can you get? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-1-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"A rectangle and a triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"A triangle and a circle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"A trapezoid and a triangle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In a triangle, there are no curved edges or right angles. So, we can\u2019t break it into a circle or a rectangle. But if we draw a line<br>segment DE that runs parallel to the base BC of the triangle, we will get a triangle ADE and a trapezoid DBCE.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following congruent shapes can you get from a rectangle if you decompose it?\",\n                    \"text\": \"Which of the following congruent shapes can you get from a rectangle if you decompose it? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-1-2.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Triangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Rectangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Rectangles and Triangles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If we connect the opposite vertices of a rectangle with a line segment, we get two congruent triangles, as shown in figure (a) below.<br>\r\nIf we draw a line segment to connect the midpoints of the opposite sides of a rectangle (that are shorter), we get two congruent rectangles, as shown in figure (b) below.<br>\r\nIf we divide a rectangle into half and repeat the above steps, we get two congruent rectangles and triangles. Figure (c) below illustrates this decomposition.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following can you get if you decompose 8?\",\n                    \"text\": \"Which of the following can you get if you decompose 8?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 + 1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 + 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"All of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6 + 2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If we add 6 + 2, we get 8. But we don\u2019t get 8 on adding 4 and 3 or 4 and 1. So, we can break 8 as 6 + 2.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following can you get if you decompose 15 into tens and ones?\",\n                    \"text\": \"Which of the following can you get if you decompose 15 into tens and ones?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 + 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 + 10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 + 5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Here, digit 1 is in the tens place, and digit 5 is in the ones place. So, we can split 15 as 10 + 5 (1 ten and 5 ones).\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"10-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-226f982d-68a5-4bd7-9dbe-1d7816f534db\" 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-0-226f982d-68a5-4bd7-9dbe-1d7816f534db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-226f982d-68a5-4bd7-9dbe-1d7816f534db\"><strong>When we decompose a figure, can we get a shape that is congruent to the original shape?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-226f982d-68a5-4bd7-9dbe-1d7816f534db\">\n\n<p>No, when we decompose a figure, we can\u2019t get a shape that is congruent to the original shape. This is because congruent shapes are of equal sizes, and decomposing means breaking down a shape into smaller shapes.<\/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-1-226f982d-68a5-4bd7-9dbe-1d7816f534db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-226f982d-68a5-4bd7-9dbe-1d7816f534db\"><strong>What is the difference between decomposing and composing shapes?<\/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-1-226f982d-68a5-4bd7-9dbe-1d7816f534db\">\n\n<p>Decomposing shapes means breaking them into smaller shapes while composing&nbsp; shapes means building a new or larger shape using smaller shapes.<\/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-2-226f982d-68a5-4bd7-9dbe-1d7816f534db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-226f982d-68a5-4bd7-9dbe-1d7816f534db\"><strong>What is the difference between composing and decomposing numbers?<\/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-2-226f982d-68a5-4bd7-9dbe-1d7816f534db\">\n\n<p>Composing numbers means adding two or more numbers to create a larger number. Decomposing numbers means breaking a number into smaller numbers.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Decompose means to separate or break apart. We can decompose numbers as well as geometric shapes.&nbsp; Suppose you have just one sandwich made from two square-shaped bread slices, and you want to share it with your friend. What will you do? You can split the sandwich into two halves so that each one of you &#8230; <a title=\"Decomposing Numbers in Math\u00a0 \u2013 Definition, Methods &#038; Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/decompose\" aria-label=\"More on Decomposing Numbers in Math\u00a0 \u2013 Definition, Methods &#038; 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-2190","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\/2190","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=2190"}],"version-history":[{"count":18,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2190\/revisions"}],"predecessor-version":[{"id":25033,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2190\/revisions\/25033"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2190"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}