{"id":2193,"date":"2022-04-27T05:06:55","date_gmt":"2022-04-27T05:06:55","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2193"},"modified":"2024-02-20T16:55:55","modified_gmt":"2024-02-20T16:55:55","slug":"compatible-numbers-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers","title":{"rendered":"Compatible Numbers &#8211; Definition, Examples, Facts, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-0a454169-1563-4017-b432-f1ff37e7f822\" 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\/compatible-numbers#0-what-are-compatible-numbers>What Are Compatible Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers#7-compatible-numbers-v-rounding>Compatible Numbers v. Rounding<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers#9-solved-examples-on-compatible-numbers>Solved Examples on Compatible Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers#10-practice-problems-on-compatible-numbers>Practice Problems on Compatible Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers#11-frequently-asked-questions-on-compatible-numbers>Frequently Asked Questions on Compatible Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-compatible-numbers\">What Are Compatible Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Compatible numbers in math are the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number\">numbers<\/a> that are easy to add, subtract, multiply, or divide mentally.<\/strong> They are close in value to the actual numbers, which makes estimating the answer and computing problems easier. Let us see how they make calculations easier using an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Kate wants to buy a hoverboard and a safety helmet. The price of the hoverboard is $\\$244$ and the price of the safety helmet is $\\$38$. Kate has only $\\$275$&nbsp; in hand. She wants to know if she has enough money to buy both items. Using compatible numbers, Kate can estimate the total cost mentally without actually adding 244 and 38.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$244 + 38 =$ ?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$240 + 40 = 280$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now she knows that she needs more money to buy the hoverboard and the helmet.<\/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\/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=\"wp-block-heading eplus-wrapper\" id=\"1-where-do-we-use-compatible-numbers-in-math\">Where Do We Use Compatible Numbers in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we want to find an estimate or to approximate a calculation, we can replace the actual numbers with compatible numbers.&nbsp;They are commonly used to solve problems where some inaccuracy is acceptable or approximation is allowed. The answer won\u2019t be exact but a reasonable estimate.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us see how we can perform <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" title=\"\">addition<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" title=\"\">subtraction<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" title=\"\">multiplication<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" title=\"\">division<\/a> easily using compatible numbers.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/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\" 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-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers 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-1-digit-and-3-digit-numbers-and-find-the-sum\" 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-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\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-1-digit-and-3-digit-numbers-and-match-the-sum\" 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-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\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-1-digit-and-3-digit-numbers-using-addition-tables\" 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-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\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-1-digit-and-3-digit-numbers-using-addition-wheel\" 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-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\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-1-digit-and-3-digit-numbers-using-number-charts\" 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-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\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-1-digit-and-3-digit-numbers-using-place-value\" 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-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function 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scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-compatible-numbers-in-addition\">Compatible Numbers in Addition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When calculating the sum of two or more numbers, the numbers ending with 5 or 0 are always easy to work with. Examples: $65 + 15 = 80$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Also, the number pairs that add up to a multiple of 10 (or a number ending with 0) also make the addition easier. A pair of numbers ending with 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5 are compatible.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Examples: $18 + 22 = 40, 13 + 7 = 20, 11 + 19 = 30$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can round the numbers to the nearest ten, hundred, thousand or ten thousand. Let\u2019s see an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 1:<strong> <\/strong>Numbers rounded to the nearest ten, hundred, or thousand.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For instance, if we have to add 493 and 549, we can make the numbers compatible by rounding them up to the nearest tens or hundreds.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">493 and 549 rounded to the nearest tens become 490 and 550 respectively.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">493 and 549 rounded to the nearest hundreds become 500 and 500 respectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"466\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers.png\" alt=\"Addition using compatible numbers\" class=\"wp-image-40553\" title=\"Addition using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 2: Estimating the addition of decimal numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"585\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers-.png\" alt=\"Addition of decimals using compatible numbers\" class=\"wp-image-40554\" title=\"Addition of decimals using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/addition-using-compatible-numbers--300x283.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 3: Add 58 and 13.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"406\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-sum-using-compatible-numbers.png\" alt=\"Finding sum using compatible numbers\" class=\"wp-image-40555\" title=\"Finding sum using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-sum-using-compatible-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-sum-using-compatible-numbers-300x196.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-compatible-numbers-in-subtraction\">Compatible Numbers in Subtraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Like addition, the numbers ending with zeroes are compatible in subtraction as well. Also, the numbers having the same last digit help in finding the difference.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 1: Subtract 376 from 612.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"378\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-using-compatible-numbers.png\" alt=\"Subtracting using compatible numbers\" class=\"wp-image-40556\" title=\"Subtracting using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-using-compatible-numbers.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-using-compatible-numbers-300x184.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 2: Subtracting decimals.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"463\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-decimals-using-compatible-numbers.png\" alt=\"Subtracting decimals using compatible numbers\" class=\"wp-image-40557\" title=\"Subtracting decimals using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-decimals-using-compatible-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/subtracting-decimals-using-compatible-numbers-300x224.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 3: Numbers ending with the same digit.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"391\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-difference-using-compatible-numbers.png\" alt=\"\" class=\"wp-image-40558\" title=\"Finding difference using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-difference-using-compatible-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-difference-using-compatible-numbers-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-compatible-numbers-in-multiplication\">Compatible Numbers in Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">It is always easy to multiply numbers ending with one or more zeros. We can ignore them in the beginning and multiply the non-zero numbers first. Once the multiplication is complete, the appropriate number of zeros can be added.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 1: Multiply 62 with 13.<\/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\/02\/multiplying-using-compatible-numbers.png\" alt=\"Multiplying using compatible numbers\" class=\"wp-image-40559\" title=\"Multiplying using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/multiplying-using-compatible-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/multiplying-using-compatible-numbers-300x217.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 2: Multiplying decimals<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"724\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/multiplying-decimals-using-compatible-numbers.png\" alt=\"Multiplying decimals using compatible numbers\" class=\"wp-image-40560\" title=\"Multiplying decimals using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/multiplying-decimals-using-compatible-numbers.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/multiplying-decimals-using-compatible-numbers-258x300.png 258w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 3: Numbers whose multiplication tables we know so that we can multiply easily.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Actual product of $34$ and $9 = 34 &nbsp;\\times 9 = 306$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using&nbsp; compatible numbers, we get: $34 \\rightarrow 34$ and $9 \\rightarrow 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Product using compatible numbers: &nbsp;&nbsp;$34 \\times 10 = 340$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-compatible-numbers-in-division\">Compatible Numbers in Division<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Numbers that end with 1 or more zeros are compatible in division as well.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 1: Numbers rounded to the nearest ten, hundred, or thousand.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"461\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/division-using-compatible-numbers.png\" alt=\"Division using compatible numbers\" class=\"wp-image-40562\" title=\"Division using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/division-using-compatible-numbers.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/division-using-compatible-numbers-300x223.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 2: Dividing decimals using compatible numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"530\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/decimal-division-using-compatible-numbers.png\" alt=\"Decimal division using compatible numbers\" class=\"wp-image-40561\" title=\"Decimal division using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/decimal-division-using-compatible-numbers.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/decimal-division-using-compatible-numbers-300x258.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 3: Numbers whose multiplication tables we know so that we can divide easily.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Actual quotient by dividing $70$ and $4: 70 \\div 4 = 17.5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using compatible numbers, we get: $70 \\rightarrow 68$ and $68 \\div 4 = 17$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Important Note: <\/strong>When estimating with division, if you decrease the value of one number, you should also decrease the value of the other. If you increase the value of one number, you should increase the value of the other. This helps to keep the estimate as close as possible to the exact answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-estimation-done-in-two-different-ways.png\" alt=\"comparing estimation done in two different ways\" class=\"wp-image-40563\" title=\"comparing estimation done in two different ways\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-estimation-done-in-two-different-ways.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-estimation-done-in-two-different-ways-300x159.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can see that we get a closer estimate when we decrease the value of both the numbers than when we decrease the value of one and increase the value of the other.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-compatible-numbers-and-estimation\">Compatible Numbers and Estimation<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Compatible numbers are often used to estimate values by converting actual values to numbers that are easy to calculate mentally.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Dean saved $\\$37$ and Tom saved $\\$52$. Estimate the total amount saved by the brothers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">First, replace the numbers with compatible numbers:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$37$ is replaced by $\\$40$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$52$ is replaced by $\\$50$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$40 + \\$50 = \\$90$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Dean and Tom saved around $\\$90$ altogether.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If there are more complicated values, we try to balance how we estimate the values.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, if in one case we estimate $\\$37$ as $\\$40$, we should try to round off the other number down by a similar amount if possible. This way our estimate will be more accurate.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-compatible-numbers-v-rounding\">Compatible Numbers v. Rounding<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Compatible numbers and rounding are rather similar, but there is a slight difference between them. We pick closer numbers to make it easier to solve a problem in compatible numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Raj wants to divide his study time of 166 minutes equally among 4 subjects.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Actual division: 166 divided by 4 is <strong>41.5<\/strong> minutes per subject.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using compatible numbers, we can solve this as: $166$ -\\gt 160$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">160 divided by 4 gives 40 minutes per subject.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Rounding 166 to the nearest tens gives 170. Dividing 170 by 4 gives <strong>42.5<\/strong> minutes per subject.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We learned about compatible numbers, which make complex calculations involving addition, subtraction, multiplication or division pretty easy. Next time you are standing in the queue to get your groceries billed, use the compatible numbers to find the total quickly before the person at the billing counter does.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/compatible-numbers-chart.png\" alt=\"Compatible numbers chart\" class=\"wp-image-40564\" title=\"Compatible numbers chart\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/compatible-numbers-chart.png 616w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/compatible-numbers-chart-300x159.png 300w\" sizes=\"auto, (max-width: 616px) 100vw, 616px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-compatible-numbers\">Solved Examples on Compatible Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Estimate the following using compatible numbers.<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$83 + 18$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$134 \u2212 67$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$319 \\times 89$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$7810 \\div 37$<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$83 + 18$<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Replace the numbers with compatible numbers of addition.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$83 \\rightarrow 80$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$18 \\rightarrow 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, find the sum.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$80 + 20 = 100$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$134 \u2212 67$<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, we can use compatible numbers in two different ways.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"615\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-subtraction-using-compatible-numbers.png\" alt=\"Example of subtraction using compatible numbers\" class=\"wp-image-40565\" title=\"Example of subtraction using compatible numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-subtraction-using-compatible-numbers.png 615w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-subtraction-using-compatible-numbers-300x157.png 300w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">(c) $319 \\times 89$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Replace the numbers with compatible numbers of multiplication.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$319 \\rightarrow 300$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$89 \\rightarrow 90$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now find the product.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$300 \\times 90 = 27,000$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">(d) $7810 \\div 37$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Replace the numbers with compatible numbers of division.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$7810 \\rightarrow 8000$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$37 \\rightarrow 40$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, find the quotient.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$8000 \\div 40 = 200$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2.&nbsp; Lisa went shopping and swiped her card for <\/strong>$\\$487$<strong> in the first shop and <\/strong>$\\$192$<strong> in the second shop. Estimate how much she spent in both the shops together?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Amount Lisa swiped in the first shop $= \\$487$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Amount Lisa swiped in the second shop $= \\$192$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Amount spent by Lisa in both the shops $= \\$487 + \\$192$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the estimate we replace the numbers with compatible numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\$487 \\rightarrow \\$500$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$192 \\rightarrow \\$200$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$500 + \\$200 = \\$700$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Lisa spent around $\\$700$ in both the shops together.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. A pastry shop got an order of 3897 donuts. If each box can hold 4 donuts, approximately how many boxes will the shop need?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of donuts to be packed $= 3897$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of donuts per box $= 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of boxes needed to pack all the donuts $= 3897 \\div 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the estimate we replace the numbers with compatible numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$3897 \\rightarrow 4000$ and&nbsp; $4\\rightarrow4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$4000 \\div 4 = 1000$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The shop needs around 1000 boxes to pack 4132 donuts.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>4. John\u2019s bank account had a balance of <\/strong>$\\$693$<strong>. If he withdrew <\/strong>$\\$129$<strong>, what is his approximate new balance?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">John\u2019s account balance $= \\$693$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Amount John withdrew $= \\$129$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">John\u2019s new account balance $= \\$693 \u2212 \\$129$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the estimate we replace the numbers with compatible numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$693\\rightarrow693$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$129\\rightarrow123$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\$693 \u2212 \\$123 = \\$570$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">John\u2019s new balance is approximately $\\$570$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. Elsa is preparing for a spelling competition. If she learns 81 words per day, about how many words will she learn in 19 days?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of words Elsa learns in $1$ day $= 81$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of words Elsa learns in $19$ days $= 81 \\times 19$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the estimate we replace the numbers with compatible numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$81 \\rightarrow 80$ and $19 \\rightarrow 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$80 \\times 20 = 1600$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Elsa can learn around 1600 words in 19 days.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-compatible-numbers\">Practice Problems on Compatible Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Compatible Numbers<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Find the estimate of 167 + 35 using compatible numbers.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">250<\/div><div class=\"spq_answer_block\" data-value=\"1\">200<\/div><div class=\"spq_answer_block\" data-value=\"2\">180<\/div><div class=\"spq_answer_block\" data-value=\"3\">230<\/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: 200<br\/>Estimating sum using compatible numbers as $167 + 33 = 200$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">In a charity show, $\\$1289$ was collected on day 1 and $\\$899$ was collected on day 2. Which of the following is the correct way to estimate the collection on both the days?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$1200 + \\$800$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$1000 + \\$100$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$1300 + \\$900$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$1588 + \\$599$<\/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: $\\$1300 + \\$900$<br\/>The correct way to estimate the collection on both days is $\\$1300 + \\$900$.<\/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\">The monthly fee in an institute is $\\$408$. Estimate the fee deposited by a student in 4 years.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$22,000$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$2000$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$20,000$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$15,000$<\/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: $\\$20,000$<br\/>4 years $= 4 \\times 12 = 48$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $\\$400 \\times 50 = \\$20,000$.<\/span><\/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 grocery store has 45,239 pounds of whole wheat in stock. If they sold out 39,782 pounds, approximately how much whole wheat is left in stock?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10,000 pounds<\/div><div class=\"spq_answer_block\" data-value=\"1\">7000 pounds<\/div><div class=\"spq_answer_block\" data-value=\"2\">5000 pounds<\/div><div class=\"spq_answer_block\" data-value=\"3\">2000 pounds<\/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: 5000 pounds<br\/>Estimating the weight of whole wheat left in stock as  $45000 \u2212 40000 = 5000$ pounds.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Estimate the quotient when 20,891 is divided by 687.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">30<\/div><div class=\"spq_answer_block\" data-value=\"2\">300<\/div><div class=\"spq_answer_block\" data-value=\"3\">3000<\/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<br\/>Estimating the quotient using compatible numbers as  $21, 000 \\div 700 = 30$.<\/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                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                            }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"230\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating sum using compatible numbers as $$167 + 33 = 200$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"200\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Estimating sum using compatible numbers as $$167 + 33 = 200$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Estimating sum using compatible numbers as $$167 + 33 = 200$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a charity show, $$\\\\$$1289$$ was collected on day 1 and $$\\\\$$899$$ was collected on day 2. Which of the following is the correct way to estimate the collection on both the days?\",\n                    \"text\": \"In a charity show, $$\\\\$$1289$$ was collected on day 1 and $$\\\\$$899$$ was collected on day 2. Which of the following is the correct way to estimate the collection on both the days?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$1200 + \\\\$$800$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$1000 + \\\\$$100$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$1588 + \\\\$$599$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$1300 + \\\\$$900$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The correct way to estimate the collection on both days is $$\\\\$$1300 + \\\\$$900$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The monthly fee in an institute is $$\\\\$$408$$. Estimate the fee deposited by a student in 4 years.\",\n                    \"text\": \"The monthly fee in an institute is $$\\\\$$408$$. Estimate the fee deposited by a student in 4 years.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$22,000$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$2000$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$15,000$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$20,000$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"4 years $$= 4 \\\\times 12 = 48$$ months.<br>\r\nEstimating fee deposited by a student in 4 years as $$\\\\$$400 \\\\times 50 = \\\\$$20,000$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A grocery store has 45,239 pounds of whole wheat in stock. If they sold out 39,782 pounds, approximately how much whole wheat is left in stock?\",\n                    \"text\": \"A grocery store has 45,239 pounds of whole wheat in stock. If they sold out 39,782 pounds, approximately how much whole wheat is left in stock?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10,000 pounds\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7000 pounds\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2000 pounds\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5000 pounds\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Estimating the weight of whole wheat left in stock as  $$45000 \u2212 40000 = 5000$$ pounds.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Estimate the quotient when 20,891 is divided by 687.\",\n                    \"text\": \"Estimate the quotient when 20,891 is divided by 687.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"300\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3000\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Estimating the quotient using compatible numbers as  $$21, 000 \\\\div 700 = 30$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-compatible-numbers\">Frequently Asked Questions on Compatible Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-748dbde4-51bc-42d5-8e5b-24f53d573671\" 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-0-748dbde4-51bc-42d5-8e5b-24f53d573671\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-748dbde4-51bc-42d5-8e5b-24f53d573671\"><strong>Are friendly numbers also called compatible 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-0-748dbde4-51bc-42d5-8e5b-24f53d573671\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Friendly numbers are also called compatible numbers. They are numbers that are easy to add, usually they have a sum of a multiple of ten. For example, 3 and 7 are friendly numbers that are also called compatible numbers.<\/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-1-748dbde4-51bc-42d5-8e5b-24f53d573671\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-748dbde4-51bc-42d5-8e5b-24f53d573671\"><strong>Do compatible numbers always end in zeroes?<\/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-1-748dbde4-51bc-42d5-8e5b-24f53d573671\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Compatible numbers are numbers that make the calculation easier. They need not always end in zeroes. 45 and 5 are also compatible numbers since adding them mentally is easy.<\/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-2-748dbde4-51bc-42d5-8e5b-24f53d573671\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-748dbde4-51bc-42d5-8e5b-24f53d573671\"><strong>Which is a better method of estimation? Compatible numbers or rounding 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-2-748dbde4-51bc-42d5-8e5b-24f53d573671\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Both are frequently used methods of estimation. The method to be chosen depends on the rate of accuracy of the estimation required.<\/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-3-748dbde4-51bc-42d5-8e5b-24f53d573671\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-748dbde4-51bc-42d5-8e5b-24f53d573671\"><strong>Can we use compatible numbers to estimate fractions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-748dbde4-51bc-42d5-8e5b-24f53d573671\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, we can estimate fractions by replacing them with <strong>benchmark fractions <\/strong>that are common <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fractions<\/a> that we can measure or judge against, when measuring, comparing, or ordering other fractions. Benchmark fractions are easy to visualize and identify, and thus, help in estimating the parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5}{6} + \\frac{1}{2}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5}{6}$ is close to 1 so it can be replaced with 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$1 + \\frac{1}{2}&nbsp; = 1\\frac{1}{2}$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Are Compatible Numbers? Compatible numbers in math are the numbers that are easy to add, subtract, multiply, or divide mentally. They are close in value to the actual numbers, which makes estimating the answer and computing problems easier. Let us see how they make calculations easier using an example.&nbsp; Kate wants to buy a &#8230; <a title=\"Compatible Numbers &#8211; Definition, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/compatible-numbers\" aria-label=\"More on Compatible Numbers &#8211; Definition, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2193","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\/2193","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=2193"}],"version-history":[{"count":54,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2193\/revisions"}],"predecessor-version":[{"id":40566,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2193\/revisions\/40566"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}