{"id":1102,"date":"2022-04-14T06:58:28","date_gmt":"2022-04-14T06:58:28","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1102"},"modified":"2023-02-14T15:30:01","modified_gmt":"2023-02-14T15:30:01","slug":"rounding-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding","title":{"rendered":"Rounding \u2013 Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-bf8c45cb-4e85-4a43-b515-fdffff399b80\" 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\/algebra\/rounding#0-what-do-you-mean-by-rounding-off-a-number>What Do You Mean by Rounding Off a Number?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding#1-example-of-rounding-off-from-everyday-life>Example of Rounding Off from Everyday Life!<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding#2-how-to-round-off-different-numbers>How to Round Off Different Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding#15-solved-examples->Solved Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding#16-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding#17-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-do-you-mean-by-rounding-off-a-number\">What Do You Mean by Rounding Off a Number?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Rounding off is nothing but estimation. Estimating the actual number to its nearby number is called rounding off.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-one-operation\" 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\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation 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\">Evaluate Algebraic Expressions with One Operation 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\/evaluate-algebraic-expressions-with-two-operations\" 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\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations 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\">Evaluate Algebraic Expressions with Two Operations 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\/form-algebraic-expressions\" 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\/algebra_choose_exp_1_pt.png\" alt=\"Form Algebraic Expressions 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\">Form Algebraic Expressions 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-example-of-rounding-off-from-everyday-life\">Example of Rounding Off from Everyday Life!<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">When someone asks you the price of your book, you say 100 even if it is 98. This is giving an estimation after rounding off a number. This is how we apply the concept of rounding off in our everyday life.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/estimate-fractions-products-by-rounding\" 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\/estimate-fractions-products-by-rounding.jpeg\" alt=\"Estimate Fractions Products by Rounding 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\/multiply-by-rounding-and-adjusting-the-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\/multiply-by-rounding-and-adjusting-the-number.jpeg\" alt=\"Multiply by Rounding and Adjusting the Number 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\/multiply-using-rounding\" 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\/multiply-using-rounding.jpeg\" alt=\"Multiply Using Rounding 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\/rounding-numbers-using-the-number-line\" 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\/rounding-numbers-using-the-number-line.jpeg\" alt=\"Rounding Numbers using the Number Line 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\/rounding-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\/rounding-numbers.jpeg\" alt=\"Rounding 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\/rounding-the-given-numbers-using-the-number-line\" 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\/rounding-the-given-numbers-using-the-number-line.jpeg\" alt=\"Rounding the Given Numbers using the Number Line 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\/shapes-in-our-surroundings\" 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\/shapes-in-our-surroundings.jpeg\" alt=\"Shapes in Our Surroundings Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-how-to-round-off-different-numbers\">How to Round Off Different Numbers?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Different numbers use different \u2018rounding off\u2019 rules. Let\u2019s discuss them one by one.<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"3-whole-numbers\">Whole Numbers<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">Whole numbers are rounded off at different place values.&nbsp;<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"4-nearest-ten\">Nearest Ten<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">Check the unit place digit:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">If the unit place digit is less than 5 then keep the tens place digit the same and put 0 at the unit place.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">If the unit place is 5 or more than 5 then change the tens digit into its successor and put 0 at the unit place.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"5-example-\">Example:&nbsp;<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">If we round off 15,493 to the nearest tens place then the answer will be 15,490.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As the unit place is less than 5, the tens place digit will not change.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Similarly, if we round off 12,359 to its nearest tens place then the answer will be 12,360.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As the unit place is more than 5, the tens place digit will change its successor.&nbsp;<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"6-nearest-hundred\">Nearest Hundred<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">Check the tens place digit:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">If the tens place is less than 5 then keep the hundred place digit the same and put 0 at the tens and unit place.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">If the tens place is 5 or more than 5 then change the hundred digit into its successor and put 0 at the tens and unit place.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"7-example\">Example:<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">If we round off 15,443 to the nearest hundred places then the answer will be 15,400. As the tens place is less than 5, the hundred place digit will not change.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Similarly, if we round off 12,359 to its nearest hundred places then the answer will be 12,400.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As the tens place is 5, the hundred place digit will change to its successor.&nbsp;<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"8-nearest-thousand\">Nearest Thousand<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">Check the hundred place digit:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">If the hundred place digit is less than 5 then keep the thousand place digit the same and put 0 at the hundred, tens, and unit place.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">If the hundred place digit is 5 or more than 5 then change the thousand place digit into its successor and put 0 at the hundred, tens, and unit place.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"9-example\">Example:<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">If we round off 15,443 to the nearest thousand place digit then the answer will be 15,000. As the hundred place digit is less than 5, the thousand place digit will not change.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Similarly, if we round off 12,659 to its nearest thousand place digit then the answer will be 13,000.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As the hundred place digit is more than 5, the thousand place digit will change to its successor.&nbsp;<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"10-decimal-number\">Decimal Number<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">The concept is quite similar to the whole number with some minor but noteworthy changes. If the digit right to the place value you are rounding to is less than 5, round down. However, if it&#8217;s 5 or more than 5, round up.<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"11-nearest-whole\">Nearest Whole<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">5.9165 rounded to the <strong>nearest whole<\/strong> is 6.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As 5 is followed by 9 and 9 is greater than 5. So, round up.<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"12-nearest-tenth\">Nearest Tenth<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">5.9165 rounded to the <strong>nearest tenth<\/strong> is 5.9<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As 9 is followed by 1 and 1 is smaller than 5. So, round down.<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"13-nearest-hundredth\">Nearest Hundredth<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">5.9165 rounded to the <strong>nearest hundredth<\/strong> is 5.92.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As 1 is followed by 6 and 6 is greater than 5. So, round up.<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"14-nearest-thousandth\">Nearest thousandth<\/h4>\n\n\n\n<p class=\" eplus-wrapper\">5.9165 rounded to the <strong>nearest thousandth<\/strong> is 5.917.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As 6 is followed by 5. So, round up.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"15-solved-examples-\">Solved Examples&nbsp;<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1.<\/strong><strong> <\/strong><strong><br><\/strong>Round off the following numbers to the nearest ten:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">5499<\/li>\n\n\n\n<li class=\" eplus-wrapper\">3,453<\/li>\n\n\n\n<li class=\" eplus-wrapper\">4,405<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution 1.&nbsp;<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">5,499 rounded to the nearest ten is 5,500.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The unit place digit is more than 5 so add one to the tens place digit.&nbsp;<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">&nbsp;3,453 rounded to the nearest ten is 3,450.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The unit place digit is less than 5 so the tens place digit will remain the same.&nbsp;<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">4,405 rounded to the nearest ten is 4,410.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The unit place digit is 5 so add one to the tens place digit.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2. <\/strong><strong><br><\/strong>Round off the following numbers to the nearest hundredth.<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">2.656<\/li>\n\n\n\n<li class=\" eplus-wrapper\">2.305<\/li>\n\n\n\n<li class=\" eplus-wrapper\">3.234<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution 2.&nbsp;<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">2.656 rounded to the nearest hundredth is 2.66.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The digit next to the hundredth place digit is more than 5 so add 1 to the hundredth place digit.&nbsp;<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">2.305 rounded to the nearest hundredth is 2.31.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The digit next to the hundredth place digit is 5 so add 1 to the hundredth place digit.&nbsp;<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">3.234 rounded to the nearest hundredth is 3.23.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The digit next to the hundredth place digit is less than 5 so the hundredth place digit will remain the same.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3.<\/strong><strong><br><\/strong>Round off the following numbers to the nearest thousand.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">44,590<\/li>\n\n\n\n<li class=\" eplus-wrapper\">66,235<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution 3.<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">44,590 rounded to the nearest thousand is 45,000.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The hundred place digit is 5 so add 1 to the thousand place digit.&nbsp;<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">66,235 rounded to the nearest thousand is 66,000.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\">The hundred place digit is less than 5 so keep the thousand place digit the same as before.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"16-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Rounding off<\/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\">A number rounded to the nearest 10 is 500. What could be the possible number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">400<\/div><div class=\"spq_answer_block\" data-value=\"1\">259<\/div><div class=\"spq_answer_block\" data-value=\"2\">495<\/div><div class=\"spq_answer_block\" data-value=\"3\">555<\/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: 495<br\/>495 will be rounded off to 500.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Simplify the following after rounding off each number to the nearest hundred <br> 45,789 + 23,848 + 66,321 \u2013 34,213<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">202,700<\/div><div class=\"spq_answer_block\" data-value=\"1\">101,700<\/div><div class=\"spq_answer_block\" data-value=\"2\">234,000<\/div><div class=\"spq_answer_block\" data-value=\"3\">434,000<\/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: 101,700<br\/>45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700<\/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\">Match the numbers with their round off to the nearest tens.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Screen-Shot-2022-06-21-at-2.29.55-PM.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\"> 1-a, 2-b, 3-c<\/div><div class=\"spq_answer_block\" data-value=\"1\">1-c, 2-b, 3-a<\/div><div class=\"spq_answer_block\" data-value=\"2\"> 1-b, 2-c, 3-a<\/div><div class=\"spq_answer_block\" data-value=\"3\">1-b, 2-a, 3-c<\/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:  1-b, 2-c, 3-a<br\/>4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. <\/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\": \"Rounding off\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Rounding off \"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A number rounded to the nearest 10 is 500. What could be the possible number?\",\n                    \"text\": \"A number rounded to the nearest 10 is 500. What could be the possible number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"495 will be rounded off to 500.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"400\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"495 will be rounded off to 500.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"259\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"495 will be rounded off to 500.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"555\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"495 will be rounded off to 500.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"495\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"495 will be rounded off to 500.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"495 will be rounded off to 500.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Simplify the following after rounding off each number to the nearest hundred <br> 45,789 + 23,848 + 66,321 \u2013 34,213\",\n                    \"text\": \"Simplify the following after rounding off each number to the nearest hundred <br> 45,789 + 23,848 + 66,321 \u2013 34,213\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"202,700\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"234,000\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"434,000\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"101,700\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"45,800 + 23,800 + 66,300 \u2013 34,200 = 101,700\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Match the numbers with their round off to the nearest tens.\",\n                    \"text\": \"Match the numbers with their round off to the nearest tens. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Screen-Shot-2022-06-21-at-2.29.55-PM.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \" 1-a, 2-b, 3-c\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1-c, 2-b, 3-a\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1-b, 2-a, 3-c\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \" 1-b, 2-c, 3-a\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"4,509 will round to 4,510. <b>\r\n98,683 will round to 98,680. <b>\r\n21,498 will round to 21,500. \"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"17-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-80291f18-3d9d-4923-aebe-ba13426c8fc1\" 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-0-80291f18-3d9d-4923-aebe-ba13426c8fc1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80291f18-3d9d-4923-aebe-ba13426c8fc1\">Can we round off lengths and heights?<\/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-0-80291f18-3d9d-4923-aebe-ba13426c8fc1\">\n\n<p>Yes. Heights and lengths can be rounded off.<\/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-1-80291f18-3d9d-4923-aebe-ba13426c8fc1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80291f18-3d9d-4923-aebe-ba13426c8fc1\">What is 9,999 rounded off to the nearest hundred?<\/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-1-80291f18-3d9d-4923-aebe-ba13426c8fc1\">\n\n<p>If we round off 9,999 to the nearest hundred, we will get 10,000.<\/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-2-80291f18-3d9d-4923-aebe-ba13426c8fc1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80291f18-3d9d-4923-aebe-ba13426c8fc1\">Are round-off figures exact?<\/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-2-80291f18-3d9d-4923-aebe-ba13426c8fc1\">\n\n<p>No. Round-off figures are not exact but are in proximity to the exact figure.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Do You Mean by Rounding Off a Number? Rounding off is nothing but estimation. Estimating the actual number to its nearby number is called rounding off.&nbsp; Recommended Games Evaluate Algebraic Expressions with One Operation Game Play Evaluate Algebraic Expressions with Two Operations Game Play Form Algebraic Expressions Game Play More Games Example of Rounding &#8230; <a title=\"Rounding \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/rounding\" aria-label=\"More on Rounding \u2013 Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1102","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\/1102","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=1102"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1102\/revisions"}],"predecessor-version":[{"id":24444,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1102\/revisions\/24444"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1102"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1102"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}