{"id":28435,"date":"2023-05-02T16:37:10","date_gmt":"2023-05-02T16:37:10","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=28435"},"modified":"2023-11-15T17:32:49","modified_gmt":"2023-11-15T17:32:49","slug":"comparing-decimals-definition-solved-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals","title":{"rendered":"Comparing Decimals &#8211; Definition, Solved Examples, Facts, FAQs"},"content":{"rendered":"<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-abccd5cf-da7f-489e-9ac6-7c8a8a7f08d5\" 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\/comparing-decimals#0-what-is-comparing-decimals>What Is Comparing Decimals?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals#2-what-are-the-rules-for-comparing-decimals>What Are the Rules for Comparing Decimals?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals#4-comparing-decimals-and-fractions>Comparing Decimals and Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals#9-solved-examples-on-comparing-decimals>Solved Examples on Comparing Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals#10-practice-problems-on-comparing-decimals>Practice Problems on Comparing Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals#11-frequently-asked-questions-on-comparing-decimals>Frequently Asked Questions on Comparing Decimals<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-comparing-decimals\">What Is Comparing Decimals?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Comparing decimals is slightly different than comparing integers due to the presence of the decimal point.<\/strong> A decimal number has two components, a whole number part and a fractional part, separated by a decimal point. For example, 25.67 is a decimal number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The knowledge of comparing decimals is useful in our day-to-day life, such as comparing prices, calculating change, comparing rates, etc.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example:<\/strong> A chocolate bar costs $\\$2.5$ and a candy costs $\\$1.99$. Which one is cheaper? To answer this question, we need to compare the decimals 2.5 and 1.99. Which decimal is smaller? Since $1.99 \\lt 2.5$, we can say that a candy is cheaper than a chocolate bar.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Every branch of mathematics makes use of the decimal numbers. Decimal numbers are really useful where precision is involved. Finding the larger and smaller decimal numbers in a given set of numbers is known as comparing decimals. Decimal numbers can be compared using the place value chart of decimals.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Take a look at the decimal place value chart.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"512\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/place-values-in-decimals.png\" alt=\"Place values in decimals\" class=\"wp-image-35907\" title=\"Place values in decimals\"\/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-greater-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Greater than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-less-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Less than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-with-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\/dec_add_sub_add_dec_with_regrouping_pt.png\" alt=\"Add Decimals with 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 Decimals with 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-decimals-without-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\/dec_add_sub_add_dec_without_regrouping_pt.png\" alt=\"Add Decimals without 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 Decimals without 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\/change-decimals-from-word-form-to-fraction-form\" 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\/decimals_convert_words_to_frac_tenths_pt.png\" alt=\"Change Decimals from Word Form to Fraction Form 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\">Change Decimals from Word Form to Fraction Form 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\/compare-and-order-decimals-using-place-value\" 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\/decimals_make_way_23_gm.png\" alt=\"Compare and Order Decimals Using Place Value 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\">Compare and Order Decimals Using Place Value 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\/compare-decimals-with-same-wholes\" 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\/decimals_compare_dec_3_pt.png\" alt=\"Compare Decimals (with Same Wholes) 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\">Compare Decimals (with Same Wholes) 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\/compare-decimals-on-place-value-chart-same-wholes\" 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\/decimals_compare_dec_pv_3_pt.png\" alt=\"Compare Decimals on Place Value Chart\u2014 Same Wholes 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\">Compare Decimals on Place Value Chart\u2014 Same Wholes 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\/compare-decimals-using-number-line\" 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\/decimals_compare_dec_nl_hun_pt.png\" alt=\"Compare Decimals Using Number Line 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\">Compare Decimals Using Number Line 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\/compare-decimals-using-place-value-chart\" 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\/decimals_compare_dec_pv_chart_pt.png\" alt=\"Compare Decimals Using Place Value Chart 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\">Compare Decimals Using Place Value Chart 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 = 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});\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-how-to-compare-decimals\">How to Compare Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To compare decimals, we begin by comparing the digits at the greatest place value. It is a common misconception that a decimal with more number of digits is greater. However, we must compare decimals using place values!<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing decimals is easier with the help of the place value chart. Write the decimals in the place value chart. If the digits at the highest place value match, move on to compare the digits at the next place value. We keep comparing digits this way until we reach different numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Consider the decimals 4.51 and 4.55.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>One&#8217;s<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimalpoint<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Tenths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hundredths<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the digits at ones place and tenths place are the same, so move to the hundredths place and compare numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">As $1 \\lt 5$, we can say that $4.51 \\lt 4.75$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">4.51 is less than 4.75.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-horizontal\" 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-and-subtract-decimals-less-than-1-with-regrouping-horizontal.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Horizontal 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-and-subtract-decimals-less-than-1-with-regrouping-missing-digits\" 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-and-subtract-decimals-less-than-1-with-regrouping-missing-digits.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Missing Digits 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-and-subtract-decimals-less-than-1-with-regrouping-missing-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-and-subtract-decimals-less-than-1-with-regrouping-missing-numbers.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Missing 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-and-subtract-decimals-less-than-1-with-regrouping-vertical\" 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-and-subtract-decimals-less-than-1-with-regrouping-vertical.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Vertical 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-and-subtract-decimals-less-than-1-without-regrouping-horizontal\" 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-and-subtract-decimals-less-than-1-without-regrouping-horizontal.jpeg\" alt=\"Add and Subtract Decimals less than 1 without Regrouping: Horizontal 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-and-subtract-decimals-less-than-1-without-regrouping-missing-digits\" 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-and-subtract-decimals-less-than-1-without-regrouping-missing-digits.jpeg\" alt=\"Add and Subtract Decimals less than 1 without Regrouping: Missing Digits 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-and-subtract-decimals-less-than-1-without-regrouping-missing-numbers\" 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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-are-the-rules-for-comparing-decimals\">What Are the Rules for Comparing Decimals?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand this with steps.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Write the given decimal numbers in a place value chart.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Once the place values of all the decimals are aligned, it is easy to compare them. If there are empty boxes at the end of the decimal, they can be filled with zeroes.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2: <\/strong>Compare the whole number parts first. The decimal having the greater whole number part is greater!<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $24.11 \\gt 21.99$ since $24 \\gt 21$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3: <\/strong>If the whole number part is equal, we move on to the numbers in the next place value.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: In 4.13 and 4.257, the whole number part, 4 is identical.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing the digits at the tenth place, we get $1 \\lt 2$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">At this step, we can conclude that the decimal $4.13 \\lt 4.257$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-comparing-decimals-to-the-hundredths-place\">Comparing Decimals to the Hundredths Place<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">As we have seen, we compare decimal numbers by first comparing the whole number and then the digits that come after the decimal point. You will need to compare the decimals to the hundredths place if the digits up to the tenths place are identical.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Consider decimals 4.135 and 4.157. Let\u2019s arrange them in the place value chart.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ones<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal Point<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Tenths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hundredths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Thousandths<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>3<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>5<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">You can see that the digits up to the tenths place in both the decimals are the same. Thus, we compare the digits at the hundredths place.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$3 \\lt 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $4.135 \\lt 4.157$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-comparing-decimals-and-fractions\">Comparing Decimals and Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To compare decimals and fractions, we convert the given fraction to a decimal number first, and then use the same rule of comparing decimals.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Consider an example. Let\u2019s compare 1.261 and $\\frac{5}{4}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> First, convert 54 into a decimal by dividing 5 by 4.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{5}{4} = 1.25$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2: <\/strong>Compare 1.261 and 1.25.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ones<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal Point<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Tenths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hundredths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Thousandths<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>6<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>5<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The whole number part 1 is identical.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Moving to the next step, now the tenth place, 2 is also identical.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Moving to the next step, the hundredth place is $6 \\gt 5$.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">At this step, we can conclude that the decimal $1.261 \\gt 1.25$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">That implies $1.261 \\gt \\frac{5}{4}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-comparing-decimals-on-a-number-line\">Comparing Decimals on a Number Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When comparing decimals on a number line, we use the basic rule of the number line, which states that the value of the numbers goes up as we move to the right.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us understand comparing decimals on a number line using an example: 5.28 and 5.61.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/comparing-the-decimal-number-on-the-number-line.png\" alt=\"Comparing the decimal number on the number line\" class=\"wp-image-35909\" title=\"Comparing the decimal number on the number line\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> First, locate the whole number part of decimals on the number line.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since both of the given numbers are located between 5 and 6.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">First, we mark the decimal numbers on the number line so that they include both numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2: <\/strong>After that, we use a scale to mark all tenths decimal numbers between 5 and 6. Here, marking 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, etc.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Subsequent to denoting different tenths, we see that 5.28 comes between 5.2 and 5.3, and 5.61 comes between 5.6 and 5.7.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3: <\/strong>After representing both numbers on the number line we see that 5.61 is on the right side and 5.28 is on the left side. Hence, it follows that 5.28 is less than 5.61.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-ordering-decimals\">Ordering Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To compare and order decimals, you first compare using the place value chart and then, you write them in a certain order (increasing or decreasing).<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Ascending order: Arrangement of decimals from least to greatest&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Descending order: Arrangement of decimals from greatest to least<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: Compare and write in descending order: 0.52, 1.21, 1.27, 2.25, 2.29<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ones<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal Point<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Tenths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hundredths<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $2.29 \\gt 2.25$ (since ones and tenths are the same but at hundredth place $9 \\gt 5$).<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$1.27 \\gt 1.21$ (since ones and tenths are the same but at hundredth place $7 \\gt 1$).<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Also, comparing the whole number parts, we get&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$2 \\gt 1 \\gt 0$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, we can put the given numbers in order as&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$2.29 \\gt 2.25 \\gt 1.27 \\gt 1.21 \\gt 0.52$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-facts-about-comparing-decimals\">Facts about Comparing Decimals<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Since <strong>\u201cDec\u201d<\/strong> in Latin means <strong>\u201c10,\u201d <\/strong>the successive place values of a decimal number shift by 10.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Every fraction, positive or negative, small or large, can be written as a decimal.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In a variety of real-world situations, comparing decimals is used such as to compare weight, height, money, etc.<\/li>\n<\/ul>\n<\/div><\/div>\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\">In this article, we have learned how to compare decimals, rules for comparing decimals, and ordering of decimal numbers. Let\u2019s solve a few examples for a better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-comparing-decimals\">Solved Examples on Comparing Decimals<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Which decimal number is greater? 7.5 or 7.7?<\/strong><\/li>\n<\/ol>\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\">Given decimals are 7.5, and 7.7.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the whole number part (7) is the same.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Move on to compare the digits at the tenths place. We get $5 \\lt 7$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $7.5 \\lt 7.7$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, 7.7 is greater than 7.5.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare the decimals 5.16 and 5.14.<\/strong><\/li>\n<\/ol>\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\">Given decimals are 5.16, 5.14.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the whole number part (5) and tenth place digit (1) are the same.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing the digits at the hundredth place, we get&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$6 \\gt 4$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $5.16 \\gt 5.14$.<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare the decimal numbers 12.357 and 12.373.<\/strong><\/li>\n<\/ol>\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\">Given numbers are 12.357 and 12.373.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the whole number part (12) and tenth place digit (3) are the same.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">At hundredth place, we have&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5 \\lt 7$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $12.357 \\lt 12.373$.<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare <\/strong>$\\frac{5}{20}$<strong> and 0.225.<\/strong><\/li>\n<\/ol>\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\">First, convert $\\frac{5}{20}$ into a decimal.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5}{20} = \\frac{1}{4} = 0.25$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, compare 0.25 and 0.225.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the whole number part (0) and tenth place digit (2) are the same.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">At the hundredth place, we have<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5 \\gt 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow 0.25 \\gt 0.225$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $\\frac{5}{20} \\gt 0.225$.<\/p>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Arrange the numbers 3.20, 5.52, 3.22, and 5.57 in ascending order.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ones<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Decimal Point<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Tenths<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Hundredths<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">.<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing the whole number parts, we get&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$3 \\lt 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $5.57 \\gt 5.52$ (since ones and tenths are the same but at the hundredth place $7 \\gt 5$).<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$3.22 \\gt 3.20$ (since ones and tenths are the same but at hundredth place $2 \\gt 0$).<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, we can put the given numbers in the ascending order as<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$3.20 \\lt 3.22 \\lt 5.52 \\lt 5.57$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-comparing-decimals\">Practice Problems on Comparing Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Comparing Decimals - Definition, Solved Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which decimal is bigger?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2.2<\/div><div class=\"spq_answer_block\" data-value=\"1\">1.2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3.2<\/div><div class=\"spq_answer_block\" data-value=\"3\">4.2<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4.2<br\/>Among the given decimals, 4.2 is bigger as it has the highest whole number part.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Between which two whole numbers on the number line do the number 4.6 lie?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1 and 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">2 and 3<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 and 6<\/div><div class=\"spq_answer_block\" data-value=\"3\">4 and 5<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 and 5<br\/>On the number line, the number 4.6 lies between 4 and 5.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">0.09  _______0.9<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\lt$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\gt$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$=$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None<\/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: $\\lt$<br\/>Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $0\\lt9$.<br>\r\nHence, $0.09\\lt0.9$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Identify the smallest decimal among the following options.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.11<\/div><div class=\"spq_answer_block\" data-value=\"1\">1.01<\/div><div class=\"spq_answer_block\" data-value=\"2\">1.101<\/div><div class=\"spq_answer_block\" data-value=\"3\">0.001<\/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: 0.001<br\/>$0.001\\lt0.01\\lt1.01\\lt1.101$<\/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\": \"Comparing Decimals - Definition, Solved Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Comparing Decimals\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which decimal is bigger?\",\n                    \"text\": \"Which decimal is bigger?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Among the given decimals, 4.2 is bigger as it has the highest whole number part.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2.2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Among the given decimals, 4.2 is bigger as it has the highest whole number part.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Among the given decimals, 4.2 is bigger as it has the highest whole number part.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3.2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Among the given decimals, 4.2 is bigger as it has the 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\"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Between which two whole numbers on the number line do the number 4.6 lie?\",\n                    \"text\": \"Between which two whole numbers on the number line do the number 4.6 lie?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 and 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 and 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 and 6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4 and 5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On the number line, the number 4.6 lies between 4 and 5.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"0.09  _______0.9\",\n                    \"text\": \"0.09  _______0.9\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\gt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\lt$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Whole number parts are identical (0).<br>\r\nComparing the digits at the tenth place, we get $$0\\\\lt9$$.<br>\r\nHence, $$0.09\\\\lt0.9$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the smallest decimal among the following options.\",\n                    \"text\": \"Identify the smallest decimal among the following options.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.11\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.01\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.101\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0.001\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0.001\\\\lt0.01\\\\lt1.01\\\\lt1.101$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-comparing-decimals\">Frequently Asked Questions on Comparing Decimals<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-36ae214c-6f54-4b34-9bda-5f969e74b3d4\" 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-0-36ae214c-6f54-4b34-9bda-5f969e74b3d4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-36ae214c-6f54-4b34-9bda-5f969e74b3d4\"><strong>What are the rules for comparing decimals on the number line?<\/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-0-36ae214c-6f54-4b34-9bda-5f969e74b3d4\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When comparing decimals on a number line, we use the basic rule of the line, which states that the value of the numbers goes up as we move to the right.<\/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-1-36ae214c-6f54-4b34-9bda-5f969e74b3d4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-36ae214c-6f54-4b34-9bda-5f969e74b3d4\"><strong>What are some applications of decimals in daily life?<\/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-1-36ae214c-6f54-4b34-9bda-5f969e74b3d4\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A common application of the concept of decimals is in monetary transactions. A dollar is made up of 100 cents, and the prices of objects are written in decimals, such as $\\$2.79$. Other applications are mainly concerned where precision is required, such as scientific research, sports, jewelry design, etc.<\/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-2-36ae214c-6f54-4b34-9bda-5f969e74b3d4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-36ae214c-6f54-4b34-9bda-5f969e74b3d4\"><strong>Is the decimal with a greater number of digits greater?<\/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-2-36ae214c-6f54-4b34-9bda-5f969e74b3d4\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">No. To compare decimals, we must use place values. Consider the decimals 1.1 and 1.001. The decimal 1.001 has more digits than the decimal 1.1. However, it is not greater than 1.1. Comparing the digits at the tenths place, we get $1.001 \\lt 1.1$.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Comparing Decimals? Comparing decimals is slightly different than comparing integers due to the presence of the decimal point. A decimal number has two components, a whole number part and a fractional part, separated by a decimal point. For example, 25.67 is a decimal number. The knowledge of comparing decimals is useful in our &#8230; <a title=\"Comparing Decimals &#8211; Definition, Solved Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-decimals\" aria-label=\"More on Comparing Decimals &#8211; Definition, Solved 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-28435","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\/28435","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=28435"}],"version-history":[{"count":27,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28435\/revisions"}],"predecessor-version":[{"id":35910,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28435\/revisions\/35910"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=28435"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=28435"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=28435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}