{"id":29607,"date":"2023-03-30T09:44:25","date_gmt":"2023-03-30T09:44:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=29607"},"modified":"2024-10-08T05:25:17","modified_gmt":"2024-10-08T05:25:17","slug":"repeating-decimals-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal","title":{"rendered":"Repeating Decimals &#8211; Definition, Types, 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-a8ac587a-e9e0-4e6c-bdc9-f0bfcca970d2\" 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\/repeating-decimal#0-what-are-repeating-decimals>What Are Repeating Decimals?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal#2-types-of-decimals>Types of Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal#8-how-to-convert-recurring-decimals-to-fractions>How to Convert Recurring Decimals to Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal#10-solved-examples-on-repeating-decimals>Solved Examples on Repeating Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal#11-practice-problems-on-repeating-decimals>Practice Problems on Repeating Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal#12-frequently-asked-questions-on-repeating-decimals>Frequently Asked Questions on Repeating Decimals<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-repeating-decimals\">What Are Repeating Decimals?<\/h2>\n\n\n\n<p><strong>Repeating decimals are decimals in which a digit or a group of digits after the decimal point repeats indefinitely and at regular intervals such that the decimal representation becomes periodic.&nbsp;<\/strong><\/p>\n\n\n\n<p>Repeating decimals are also known as \u201crecurring decimals.\u201d<\/p>\n\n\n\n<p>Examples of repeating decimals: 0.3333\u2026, 1.454545\u2026, 0.626262\u2026, etc.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" 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_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence 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 Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-greater-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Greater than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-less-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Less than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-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\/arrange-the-decimal-numbers-from-smallest-to-greatest\" 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_order_dec_2_pt.png\" alt=\"Arrange the Decimal Numbers From Smallest to Greatest 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\">Arrange the Decimal Numbers From Smallest to Greatest 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\/arrange-the-decimal-numbers-in-an-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_order_dec_1_pt.png\" alt=\"Arrange the Decimal Numbers in an Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Arrange the Decimal Numbers in an Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-decimal-numbers-up-to-hundredths\" 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_stranded_10_gm.png\" alt=\"Build Decimal Numbers up to Hundredths 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\">Build Decimal Numbers up to Hundredths 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-decimal-numbers-into-fractions\" 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_dec_to_frac_tenths_pt.png\" alt=\"Change Decimal Numbers into Fractions 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 Decimal Numbers into Fractions 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><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\" id=\"1-definition-of-repeating-decimals\">Definition of Repeating Decimals<\/h2>\n\n\n\n<p><strong>Repeating decimals or recurring decimals are the non-terminating decimals in which a digit or a group of digits are repeated at equal intervals after the decimal point.<\/strong><\/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-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition\" 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-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Horizontal Addition 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-a-whole-and-a-decimal-number-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-a-whole-and-a-decimal-number-with-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number 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-a-whole-and-a-decimal-number-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-a-whole-and-a-decimal-number-with-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number 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-a-whole-and-a-decimal-number-with-regrouping-vertical-addition\" 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-a-whole-and-a-decimal-number-with-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Vertical Addition 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-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition\" 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-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Horizontal Addition 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-a-whole-and-a-decimal-number-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-a-whole-and-a-decimal-number-without-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number 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-a-whole-and-a-decimal-number-without-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-a-whole-and-a-decimal-number-without-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number without 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-a-whole-and-a-decimal-number-without-regrouping-vertical-addition\" 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-a-whole-and-a-decimal-number-without-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Vertical Addition 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-a-whole-and-a-decimal-number-horizontal-addition\" 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-a-whole-and-a-decimal-number-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number: Horizontal Addition 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-a-whole-and-a-decimal-number-horizontal-timed-practice\" data-vars-ga-category=\"splashlearn_vocab\" 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-types-of-decimals\">Types of Decimals<\/h2>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal\">Decimals<\/a> can be classified into two categories: <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/terminating-decimal\">terminating decimals<\/a> and non-terminating decimals.<\/p>\n\n\n\n<p><strong>1. What are terminating decimals?<\/strong>&nbsp;<\/p>\n\n\n\n<p>Terminating decimals are decimals in which there are a finite number of digits after the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal-point\">decimal point<\/a>. The digits after the decimal point terminate after a finite number of digits.&nbsp;<\/p>\n\n\n\n<p><strong>2. What are non-terminating decimals?&nbsp;<\/strong><\/p>\n\n\n\n<p>Non-terminating decimals are the decimals in which there are an infinite number of digits after the decimal point.<\/p>\n\n\n\n<p>The non-terminating decimals are further classified as<\/p>\n\n\n\n<p>a) Repeating decimals: Digits or a group of digits repeat themselves<\/p>\n\n\n\n<p>b) Non-repeating decimals: Digits do not follow any repeating pattern<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"550\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/types-of-decimals.png\" alt=\"Types of decimals\" class=\"wp-image-35903\" title=\"Types of decimals\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-representation-of-recurring-decimals\">Representation of Recurring Decimals<\/h2>\n\n\n\n<p>We generally write repeating decimals using an ellipsis (a set of dots, i.e., \u201c\u2026\u201d). To express that a digit or a group of digits is repeating, we can also write a dot or a bar on the top of the recurring part.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Repeating Decimal<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>&nbsp; Notation<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">0.555\u2026(5 repeats forever.)<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1.2525\u2026(The digits \u201c25\u201d repeat forever.)<\/td><td class=\"has-text-align-center\" data-align=\"center\">1.25<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5.987987987\u2026(The digits \u201c987\u201d repeat forever.)<\/td><td class=\"has-text-align-center\" data-align=\"center\">5.987<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.999\u2026(9 repeats forever.)<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-period-of-a-repeating-decimal-number\"><strong><br><\/strong>Period of a Repeating Decimal Number<\/h2>\n\n\n\n<p>The recurring part (the recurring digit or the group of recurring digits) in a non-terminating and repeating decimal is called the period of the decimal.<\/p>\n\n\n\n<p><strong>Example:<\/strong> What is the period of the decimal expansion of $\\frac{1}{7}$?<\/p>\n\n\n\n<p>$\\frac{1}{7} = 0.\\overline{142857}$<\/p>\n\n\n\n<p>Period $= 142857$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-periodicity-of-a-repeating-decimal\">Periodicity of a Repeating Decimal<\/h2>\n\n\n\n<p>The number of digits that repeat in a recurring decimal is called the periodicity (or the length of the period) of the repeating decimal.<\/p>\n\n\n\n<p><strong>Example:<\/strong> The periodicity of $0.\\overline{142857}$ is 6.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Repeating decimal<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Period<br><\/strong><em><strong>(Which digits are repeating?)<\/strong><\/em><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Periodicity<br><\/strong><em><strong>(How many digits are repeating?)<\/strong><\/em><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1.2<\/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\">0.132<\/td><td class=\"has-text-align-center\" data-align=\"center\">132<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">586.45<\/td><td class=\"has-text-align-center\" data-align=\"center\">45<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-repeating-decimals-as-rational-numbers\">Repeating Decimals as Rational Numbers<\/h2>\n\n\n\n<p>All repeating decimals are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rational-numbers\">rational numbers<\/a>. All rational numbers can be written in the decimal form that has the same mathematical value, with the help of the <a href=\"https:\/\/www.cuemath.com\/numbers\/long-division\/\">long division<\/a> method.&nbsp;<\/p>\n\n\n\n<p>The decimal expansion of a rational number can be of two types only:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Terminating decimal expansion<\/li>\n\n\n\n<li>Non-terminating but repeating decimal expansion<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-rational-numbers-with-repeating-decimal-expansion\">Rational Numbers with Repeating Decimal Expansion<\/h2>\n\n\n\n<p>We divide the numerator of the rational number by its denominator using the long division method to find the decimal expansion. The quotient obtained represents the decimal representation of that rational number.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s consider an example.<\/p>\n\n\n\n<p><strong>Example: What is the decimal expansion of the rational number <\/strong>$\\frac{4}{9}$<strong>?<\/strong><\/p>\n\n\n\n<p>Divide 4 by 9.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/writing-rational-number-49-as-a-repeating-decimal.png\" alt=\"Writing rational number 49 as a repeating decimal\" class=\"wp-image-35904\" title=\"Writing rational number 49 as a repeating decimal\"\/><\/figure>\n\n\n\n<p>$\\frac{4}{9} = 0.444..=0.\\overline{4}$<\/p>\n\n\n\n<p>Thus, the rational number $\\frac{4}{9}$ has a non-terminating and repeating decimal expansion.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-how-to-convert-recurring-decimals-to-fractions\">How to Convert Recurring Decimals to Fractions<\/h2>\n\n\n\n<p>Repeating or recurring decimals have a repetitive pattern of digits after the decimal point. Let\u2019s understand the steps to convert a repeating decimal as a fraction.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Identify the repeating digits in the given decimal number.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Equate the decimal number to any variable. Make sure that only repeating digits come after the decimal point.&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Multiply both sides of the equation by a power of ten equal to the number of repeating digits.&nbsp;<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Subtract the equation obtained in step 3 from the equation obtained in step 2.&nbsp;<\/p>\n\n\n\n<p><strong>Step 5:<\/strong> Simplify to get the answer.&nbsp;<\/p>\n\n\n\n<p><strong>Example 1: Write <\/strong><strong>0.3333&#8230;<\/strong><strong> as a fraction.<\/strong><\/p>\n\n\n\n<p>Let $x = 0.3333$&#8230; \u2026(i)<\/p>\n\n\n\n<p>Repeating digit $= 3$<\/p>\n\n\n\n<p>Number of repeating digits $= 1$<\/p>\n\n\n\n<p>$10x = 3.3333$&#8230; \u2026(ii)<\/p>\n\n\n\n<p>Subtracting (ii) from (i), we get&nbsp;<\/p>\n\n\n\n<p>$10x\\;-\\;x = 3.333&#8230;\\;-\\;0.3333&#8230;$<\/p>\n\n\n\n<p>$9x = 3$<\/p>\n\n\n\n<p>$x = \\frac{3}{9}$<\/p>\n\n\n\n<p>$x = \\frac{1}{3}$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> <strong>Convert 0.5232323&#8230; into a fraction.<\/strong><\/p>\n\n\n\n<p>The repeating digits in the given decimal number are 23.&nbsp;<\/p>\n\n\n\n<p>Let $x = 0.5232323$&#8230;.(i)<\/p>\n\n\n\n<p>Notice that we need to shift the non-repeating digit 5 to the left of the decimal point. Multiply (i) by 10.<\/p>\n\n\n\n<p>$10x = 5.232323$&#8230;.(ii)<\/p>\n\n\n\n<p>There are two repeating digits, so we multiply the above equation by 100. We will get,<\/p>\n\n\n\n<p>$1000x = 523.232323$\u2026(iii)<\/p>\n\n\n\n<p>Subtract (ii) from (iii).<\/p>\n\n\n\n<p>$990x = 518$<\/p>\n\n\n\n<p>$x = \\frac{518}{990}$<\/p>\n\n\n\n<p>$x = \\frac{259}{495}$<\/p>\n\n\n\n<p><strong>Example 3: Convert 7.324242.. into a fraction.<\/strong><\/p>\n\n\n\n<p>Let $x = 7.3242424$&#8230;<\/p>\n\n\n\n<p>Let\u2019s keep only repeating digits after the decimal point.<\/p>\n\n\n\n<p>$10x = 73.2424$&#8230; \u2026(i)<\/p>\n\n\n\n<p>Multiply both the sides by the power of 10 equal to the number of repeating digits. Thus, we multiply by $10^2 = 100$.<\/p>\n\n\n\n<p>$1000x = 7324.2424$&#8230; \u2026(ii)<\/p>\n\n\n\n<p>Subtracting (ii) from (i), we get<\/p>\n\n\n\n<p>$1000x \\;-\\; 10x = 7324.2424&#8230;\\;-\\;73.2424$..<\/p>\n\n\n\n<p>$\\Rightarrow 990x = 7251$<\/p>\n\n\n\n<p>$\\Rightarrow x = \\frac{7251}{990}$<\/p>\n\n\n\n<p>$\\Rightarrow x = \\frac{2417}{330}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-properties-of-repeating-decimals\">Properties of Repeating Decimals<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All repeating decimals are rational numbers. They can be expressed in the form of $\\frac{p}{q}$, where $q \\neq 0,\\; p$ and q are integers.&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A real number is rational if and only if its decimal expansion is repeating or terminating.&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Repeating decimals have an infinite number of digits.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Repeating decimals are non-terminating decimals that show a certain repetitive pattern of digits after the decimal point.&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If a digit or a group of digits after the decimal point in a non-terminating decimal are not repeating, the decimal expansion represents an irrational number.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-repeating-decimals\">Solved Examples on Repeating Decimals<\/h2>\n\n\n\n<p><strong>1. Convert the repeating decimal 1.8888&#8230; into a fraction.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Let $x = 1.8888$&#8230; \u2014 (1)<\/p>\n\n\n\n<p>Multiplying both the sides by 10, we get<\/p>\n\n\n\n<p>$10x = 18.8888$&#8230; \u2014 (2)<\/p>\n\n\n\n<p>Subtracting (1) from (2), we get<\/p>\n\n\n\n<p>$10x \\;-\\; x = 18.888$&#8230;$-1.888$&#8230;<\/p>\n\n\n\n<p>$9x = \\frac{1}{7}$<\/p>\n\n\n\n<p>$x = \\frac{17}{9}$<\/p>\n\n\n\n<p><strong>2. <\/strong><strong>What fraction is equivalent to the repeating decimal number 0.434343&#8230;?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Let $x = 0.434343$&#8230; \u2014 (1)<\/p>\n\n\n\n<p>Multiplying both the sides by 100, we get<\/p>\n\n\n\n<p>$100x = 43.434343$&#8230;. \u2014 (2)<\/p>\n\n\n\n<p>Subtracting (1) from (2), we get<\/p>\n\n\n\n<p>$100x \\;-\\; x = 43.434343&#8230;\\;-\\;0.434343&#8230;.$<\/p>\n\n\n\n<p>$99x = 43$<\/p>\n\n\n\n<p>$x = \\frac{43}{99}$<\/p>\n\n\n\n<p><strong>3. Convert 0.567567567\u2026 into a fraction.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let $x = 0.567567567$&#8230; \u2014 (1)<\/p>\n\n\n\n<p>Multiplying both the sides by 1000<\/p>\n\n\n\n<p>$1000x = 567.567567$&#8230; \u2014 (2)<\/p>\n\n\n\n<p>Subtracting (1) from (2), we get<\/p>\n\n\n\n<p>$1000x\\;-\\;x = 567.567567567$&#8230;$-0.567567567$&#8230;<\/p>\n\n\n\n<p>$999x = 567$<\/p>\n\n\n\n<p>$x= \\frac{567}{999} = \\frac{189}{333} = \\frac{63}{111} = \\frac{21}{37}$<\/p>\n\n\n\n<p><strong>4. <\/strong><strong>Which fraction is equivalent to 2.34444&#8230;?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Let $x = 2.34444$&#8230;&nbsp;<\/p>\n\n\n\n<p>Multiplying both the sides by 10<\/p>\n\n\n\n<p>$10x = 23.4444$&#8230; \u2014 (1)<\/p>\n\n\n\n<p>Multiplying both sides by 10&nbsp;<\/p>\n\n\n\n<p>$100x = 234.4444$&#8230; \u2014 (2)<\/p>\n\n\n\n<p>Subtracting (1) from (2), we get<\/p>\n\n\n\n<p>$100x\\;-\\;10x = 234.444$&#8230;$-23.444$&#8230;<\/p>\n\n\n\n<p>$90x = 211$<\/p>\n\n\n\n<p>$x = \\frac{211}{90}$<\/p>\n\n\n\n<p><strong>5. <\/strong><strong>What fraction is equivalent to the repeating decimal number 24.579579&#8230;?<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Let $x = 24.579579$&#8230; \u2014 (1)<\/p>\n\n\n\n<p>Multiplying both the sides by 1000<\/p>\n\n\n\n<p>$1000x = 24579.579579$&#8230; \u2014 (2)<\/p>\n\n\n\n<p>Subtracting (1) from (2), we get<\/p>\n\n\n\n<p>$1000x\\;-\\;x = 24579.579579$&#8230;$-24.579579$&#8230;<\/p>\n\n\n\n<p>$999x = 24,555$<\/p>\n\n\n\n<p>$x = \\frac{24555}{999} = \\frac{8185}{333}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-repeating-decimals\">Practice Problems on Repeating Decimals<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Repeating Decimals - Definition, Types, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">On converting 6.7777\u2026 into a fraction, we get ____<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{73}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{61}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{67}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{60}{9}$<\/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: $\\frac{61}{9}$<br\/>Let $x = 6.7777$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$10x = 67.7777$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$10x\\;-\\;x = 67.7777$...$-6.7777$...<br>\r\n$9x = 61$<br>\r\n$x = \\frac{61}{9}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which is the period of 0.123123123\u2026?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1231<\/div><div class=\"spq_answer_block\" data-value=\"1\">23<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">123<\/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: 123<br\/>Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $0.123123\u2026 = 123$<\/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\">On converting 0.67777... into a fraction, we get ____<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{67}{90}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{67}{99}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{61}{99}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{61}{90}$<\/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: $\\frac{61}{99}$<br\/>Let $x = 0.67777$...<br>\r\n$10x = 6.7777$... \u2014 (1)<br>\r\n$100x = 67.7777$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$100x\\;-\\;10x = 67.7777$...$-6.7777$...<br>\r\n$90x = 61$<br>\r\n$x = \\frac{61}{90}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">All repeating decimals are ______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Rational numbers<\/div><div class=\"spq_answer_block\" data-value=\"1\">Irrational numbers<\/div><div class=\"spq_answer_block\" data-value=\"2\">Integers<\/div><div class=\"spq_answer_block\" data-value=\"3\">Whole numbers<\/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: Rational numbers<br\/>All repeating decimals are rational numbers.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the periodicity of $\\frac{2}{7}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">7<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 6<br\/>$2 \\div 7 = 0.285714285714$\u2026<br>\r\n$2\\div7 = 0.\\overline{285714}$<br>\r\nPeriod $= 285714$<br>\r\nPeriodicity $= 6$<\/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\": \"Repeating Decimals - Definition, Types, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Repeating Decimals\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting 6.7777\u2026 into a fraction, we get ____\",\n                    \"text\": \"On converting 6.7777\u2026 into a fraction, we get ____\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{73}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{67}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{60}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{61}{9}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let $$x = 6.7777$$... \u2014 (1)<br>\r\nMultiplying both the sides by 10<br>\r\n$$10x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$10x\\\\;-\\\\;x = 67.7777$$...$$-6.7777$$...<br>\r\n$$9x = 61$$<br>\r\n$$x = \\\\frac{61}{9}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which is the period of 0.123123123\u2026?\",\n                    \"text\": \"Which is the period of 0.123123123\u2026?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1231\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"123\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Period of a repeating decimal is the repeating digits.<br>\r\nPeriod of $$0.123123\u2026 = 123$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting 0.67777... into a fraction, we get ____\",\n                    \"text\": \"On converting 0.67777... into a fraction, we get ____\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{67}{90}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{67}{99}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{61}{90}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{61}{99}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let $$x = 0.67777$$...<br>\r\n$$10x = 6.7777$$... \u2014 (1)<br>\r\n$$100x = 67.7777$$... \u2014 (2)<br>\r\nSubtracting (1) from (2), we get<br>\r\n$$100x\\\\;-\\\\;10x = 67.7777$$...$$-6.7777$$...<br>\r\n$$90x = 61$$<br>\r\n$$x = \\\\frac{61}{90}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"All repeating decimals are ______.\",\n                    \"text\": \"All repeating decimals are ______.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All repeating decimals are rational numbers.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Irrational numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All repeating decimals are rational numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Integers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All repeating decimals are rational numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Whole numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All repeating decimals are rational numbers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Rational numbers\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All repeating decimals are rational numbers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All repeating decimals are rational numbers.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the periodicity of $$\\\\frac{2}{7}$$?\",\n                    \"text\": \"What is the periodicity of $$\\\\frac{2}{7}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2 \\\\div 7 = 0.285714285714$$\u2026<br>\r\n$$2\\\\div7 = 0.\\\\overline{285714}$$<br>\r\nPeriod $$= 285714$$<br>\r\nPeriodicity $$= 6$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-on-repeating-decimals\">Frequently Asked Questions on Repeating Decimals<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-51953f4e-2607-49af-a686-3c914f6b0d50\" 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-0-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>Can we convert non-terminating and non-repeating decimals into fractions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p>No, we can never convert a non terminating decimal into a fraction. Such decimals are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number\/irrational-numbers\">irrational numbers<\/a>.<\/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-1-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>What is the difference between terminating and non-terminating decimal expansion?<\/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-1-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p>Terminating decimal expansion is the expansion in which the remainder $= 0$ and non-terminating decimal expansion is the expansion in which the remainder $0$.<\/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-2-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>How can we convert fractions into decimals?<\/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-2-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">Fractions<\/a> can be converted into decimals by dividing the numerator by the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a>.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>How do we represent the non-terminating repeating decimal expansion?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p>We represent the non-terminating repeating decimal expansion using a bar. For example, 0.232323\u2026 can be represented as $0.\\overline{23}$.<\/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-4-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>What is a mixed recurring decimal?<\/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-4-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p>A decimal in which there is at least one non-repeating digit before the recurring part is known as a <strong>mixed recurring decimal<\/strong>.Example: $1.235555\u2026 = 1.2\\overline{35}$<\/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-5-51953f4e-2607-49af-a686-3c914f6b0d50\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51953f4e-2607-49af-a686-3c914f6b0d50\"><strong>What is the symbol for repeating digits in recurring decimals?<\/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-5-51953f4e-2607-49af-a686-3c914f6b0d50\">\n\n<p>Dot notation or bar notation on the top of the recurring digits is used.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Repeating Decimals? Repeating decimals are decimals in which a digit or a group of digits after the decimal point repeats indefinitely and at regular intervals such that the decimal representation becomes periodic.&nbsp; Repeating decimals are also known as \u201crecurring decimals.\u201d Examples of repeating decimals: 0.3333\u2026, 1.454545\u2026, 0.626262\u2026, etc. Recommended Games Add Decimal Fractions &#8230; <a title=\"Repeating Decimals &#8211; Definition, Types, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/repeating-decimal\" aria-label=\"More on Repeating Decimals &#8211; Definition, Types, 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-29607","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\/29607","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=29607"}],"version-history":[{"count":18,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/29607\/revisions"}],"predecessor-version":[{"id":42187,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/29607\/revisions\/42187"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=29607"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=29607"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=29607"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}