{"id":1241,"date":"2022-04-18T07:07:01","date_gmt":"2022-04-18T07:07:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1241"},"modified":"2024-02-18T17:06:15","modified_gmt":"2024-02-18T17:06:15","slug":"expanded-form-with-decimals-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals","title":{"rendered":"Expanded Form With Decimals &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-673a9281-015c-4119-8fcb-62e926681c2c\" 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\/decimals\/expanded-form-with-decimals#0-what-is-decimals>What is Decimals?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#1-expanded-form>Expanded Form<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#2-expanded-form-of-decimal-numbers>Expanded Form of Decimal Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#4-standard-form>Standard Form<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#5-application-of-expanded-form-with-decimals>Application of Expanded Form with Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#7-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#8-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">The expanded form with decimal numbers is the mathematical expression to show the sum of the values of each digit in the number. Let\u2019s learn&nbsp; more about decimals, place value, and expanded forms below.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-decimals\">What is Decimals?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A decimal number is a number that consists of a whole number and a fractional part. The decimal point separates the whole number from the fractional part.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;In a decimal number, the digits to the left of the decimal point represent a whole number. The digits to the right of the decimal represent the parts.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As we move towards right after the decimal point, the place value of the digits becomes 10 times smaller.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The first digit on the right of the decimal point means tenths i.e. $\\frac{1}{10}$. The next place becomes ten times smaller and is called the hundredths i.e. $\\frac{1}{100}$ and so on.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In 31.356, 31 is the whole number part, 3 is in tens place and its place value is 30,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1 is in ones place, and its place value is 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">There are three digits to the right of the decimal point,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3 is in the tenths place, and its place value is 0.3 or $\\frac{3}{10}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">5 is in the hundredths place, and its place value is 0.05 or $\\frac{5}{100}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">6 is in the thousandths place, and its place value is 0.006 or $\\frac{6}{1000}$<\/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-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\/add-multiples-of-100-in-unit-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\/add_sub_pv_add_multiples_100_pt.png\" alt=\"Add Multiples of 100 in Unit 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\">Add Multiples of 100 in Unit 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\/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\/change-expanded-to-standard-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\/place_value_expand_to_std_5d_pt.png\" alt=\"Change Expanded to Standard 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 Expanded to Standard 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\/change-to-standard-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\/place_value_write_in_word_5d_pt.png\" alt=\"Change to Standard 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 to Standard 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\/choose-the-correct-standard-form-of-the-decomposed-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_compose_hundredths_pt.png\" alt=\"Choose the Correct Standard Form of the Decomposed 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\">Choose the Correct Standard Form of the Decomposed 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\/choose-the-standard-form-of-the-decomposed-decimal-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_standard_form_pt.png\" alt=\"Choose the Standard Form of the Decomposed Decimal Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Standard Form of the Decomposed Decimal Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-expanded-form\">Expanded Form<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In the expanded form. We break up a number according to its place value and expand it to show the value of each digit.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, the expanded form of 254 is given.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"319\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-whole-numbers.png\" alt=\"Expanded form of Decimals\" class=\"wp-image-40202\" title=\"Expanded form of Whole Numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-whole-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-whole-numbers-300x154.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the expanded form of the number $254$ is $200 + 50 + 4$.<\/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\" 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-numbers.jpeg\" alt=\"Add and Subtract Decimals less than 1 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-and-subtract-decimals-less-than-1-without-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-without-regrouping-vertical.jpeg\" alt=\"Add and Subtract Decimals less than 1 without 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-horizontal-2-minute-drill\" 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-horizontal-2-minute-drill.jpeg\" alt=\"Add and Subtract Decimals less than 1: Horizontal 2 Minute Drill 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-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-horizontal.jpeg\" alt=\"Add and Subtract Decimals less than 1: 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-expanded-form-of-decimal-numbers\">Expanded Form of Decimal Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The expanded form with decimals is the mathematical expression to show the sum of the values of each digit in the number. Writing decimals in an expanded form simply means writing each number according to its place value. Before the decimal point, the expanded form is the same as it is for whole numbers. After the decimal point, it is different.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When you write a decimal number in its expanded form, you are expressing the number separated into its composite individual place values and decimal values if necessary in the form of an expression.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Likewise, the expanded form of a number with a decimal or a fraction is written with a base 10-multiple denominator, represented by the power of 10.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, the number 3.482 in its expanded form is written as:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\" id=\"Expanded-form-of-Decimals\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"496\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-decimals.png\" alt=\"Expanded form of Decimals\" class=\"wp-image-40201\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-decimals.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/expanded-form-of-decimals-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The expanded form of the number 3.482 is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$= 3 +$ 4\u204410 + 8\u2044100 + 42\u20441000 ,or<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$= 3 + 0.4 + 0.08 + 0.002$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-to-write-a-decimal-in-an-expanded-form\">How to Write a Decimal in an Expanded Form?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Writing decimals in expanded form can be achieved by following the steps given below.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Suppose we want to expand 1.234.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> We start from the left hand side first. We have ones place, i.e., 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Next, we have the first decimal place, the tenths. We take 2 and multiply it by fraction $\\frac{1}{10}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1+(2\\times\\frac{1}{10})$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>Then, we have the hundreds place. We move to a higher multiple of 10 for the denominator. In other words, we multiply 3 by fraction 1100.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1+(2\\times\\frac{1}{10})+(3\\times\\frac{1}{100})$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 4: <\/strong>Finally, we have the thousands place. Add another 0 in the denominator. We multiply 4 by $\\frac{1}{1000}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1+(2\\times \\frac{1}{10})+(3\\times \\frac{1}{100})+(4\\times\\frac{1}{1000})$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the expanded form of $1.234$ is $1+0.2+0.03+0.004$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-standard-form\">Standard Form<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Writing a number in standard form (or numeric form) is the opposite or reverse of writing a number in expanded form.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, the standard form for $1+0.2+0.03+0.004$ is $1.234$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Expanded form and standard form are opposites of each other.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-application-of-expanded-form-with-decimals\">Application of Expanded Form with Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The scope of decimal numbers is in the areas where accuracy and precision are required. The concept of the expanded form is useful in comprehending the value of a number as well as the numeric value of a quantity.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-fun-facts\">Fun Facts<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The weights in the ratios of 1\u204420 , 1\u204410 , 1\u20445 , 1\u20442 and multiples of 10 were used in the Indus Valley civilization for the purpose of trade.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Rod calculus in ancient China used bamboo strips with the decimal system for math operations like multiplication during 305 BCE.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Mathematician Archimedes invented a decimal positional system for Sand Reckoner to represent large numbers that were multiples of 10.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1. Write 8.12 in its expanded form.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The expanded form of $8.12=8+0.1+0.02$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2. Write <\/strong>$7 + 0.8 + 0.09 + 0.003$<strong> in standard form.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>The standard form is 7.893.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3. What will be the place value of 4 in 56.924?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>The place value of 4 in 56.924 will be $4 \\times \\frac{1}{1000} = 0.004$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Expanded Form With Decimals - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The standard form of $50 + 8 + 0.7 + 0.06 + 0.005$ is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">58.765<\/div><div class=\"spq_answer_block\" data-value=\"1\">587.65<\/div><div class=\"spq_answer_block\" data-value=\"2\">5876.5<\/div><div class=\"spq_answer_block\" data-value=\"3\">5.8765<\/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: 58.765<br\/>The standard form of $5 \\times 10 + 8 \\times 1 + 7 \\times 0.1 + 6 \\times 0.01 + 5 \\times 0.001$<br>\r\n                              $= 50 + 8 + 0.7 + 0.06 + 0.005$<br>\r\n      $= 58.765$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The expanded form of 123.45 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$100 + 20 + 3 + 0.4 + 0.005$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$100 + 20 + 3 + 0.04 + 0.005$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$100 + 20 + 3 + 0.4 + 0.05$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$100 + 20 + 3 + 0.04 + 0.0005$<\/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: $100 + 20 + 3 + 0.4 + 0.05$<br\/>The expanded form of 123.45 is<br>\r\n$= 1 \\times 100 + 2 \\times 10 + 3 \\times 1 + 4 \\times 0.1 + 5 \\times 0.01$<br> \r\n$= 100 + 20 + 3 + 0.4 + 0.05$. <\/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\">The place value of 6 in 987.65 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.6<\/div><div class=\"spq_answer_block\" data-value=\"1\">0.06<\/div><div class=\"spq_answer_block\" data-value=\"2\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">60<\/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: 0.6<br\/>The expanded form of 987.65 is<br>\r\n$= 900 + 80 + 7 + 0.6 + 0.05$.<br>\r\nThe place value of 6 in 987.65 is 0.6. <\/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\": \"Expanded Form With Decimals - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Expanded Form With Decimals\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The standard form of $$50 + 8 + 0.7 + 0.06 + 0.005$$ is\",\n                    \"text\": \"The standard form of $$50 + 8 + 0.7 + 0.06 + 0.005$$ is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"587.65\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5876.5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5.8765\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"58.765\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The standard form of $$5 \\\\times 10 + 8 \\\\times 1 + 7 \\\\times 0.1 + 6 \\\\times 0.01 + 5 \\\\times 0.001$$<br>\r\n                              $$= 50 + 8 + 0.7 + 0.06 + 0.005$$<br>\r\n      $$= 58.765$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The expanded form of 123.45 is\",\n                    \"text\": \"The expanded form of 123.45 is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 + 20 + 3 + 0.4 + 0.005$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 + 20 + 3 + 0.04 + 0.005$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 + 20 + 3 + 0.04 + 0.0005$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$100 + 20 + 3 + 0.4 + 0.05$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The expanded form of 123.45 is<br>\r\n$$= 1 \\\\times 100 + 2 \\\\times 10 + 3 \\\\times 1 + 4 \\\\times 0.1 + 5 \\\\times 0.01$$<br> \r\n$$= 100 + 20 + 3 + 0.4 + 0.05$$. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The place value of 6 in 987.65 is\",\n                    \"text\": \"The place value of 6 in 987.65 is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.06\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0.6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The expanded form of 987.65 is<br>\r\n$$= 900 + 80 + 7 + 0.6 + 0.05$$.<br>\r\nThe place value of 6 in 987.65 is 0.6. \"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The expanded form is nothing but a technique of rewriting a number by including the values of the digits. Given above was everything you needed to know about the expanded form.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-80d2ecc5-23cb-4258-8291-cc636b75b7d0\" 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-0-80d2ecc5-23cb-4258-8291-cc636b75b7d0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80d2ecc5-23cb-4258-8291-cc636b75b7d0\"><strong>What is the difference between expanded form and standard form?<\/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-0-80d2ecc5-23cb-4258-8291-cc636b75b7d0\">\n\n<p>In the expanded form, the digits of the number are split into each of the individual digits with their place value and written in expanded form. The standard form is the combination of digits written together as a single number.<\/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-1-80d2ecc5-23cb-4258-8291-cc636b75b7d0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80d2ecc5-23cb-4258-8291-cc636b75b7d0\"><strong>How is expanded form with decimals used?<\/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-1-80d2ecc5-23cb-4258-8291-cc636b75b7d0\">\n\n<p>The concept of expanded form with decimals is useful in comprehending the value of a number as well as the numeric value of a quantity.<\/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-2-80d2ecc5-23cb-4258-8291-cc636b75b7d0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-80d2ecc5-23cb-4258-8291-cc636b75b7d0\"><strong>Is expanded form the same as expanded notation?<\/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-2-80d2ecc5-23cb-4258-8291-cc636b75b7d0\">\n\n<p>No. Let\u2019s understand the difference between the expanded form and expanded notation using an example.<\/p>\n\n\n\n<p>Expanded notation with decimals:&nbsp; $527 = (5\\times100) + (2\\times10) + (7\\times1)$<\/p>\n\n\n\n<p>Expanded form with decimals: $527 = 500 + 20 + 7$<\/p>\n\n\n\n<p>The expanded notation is a more detailed form. Every digit is multiplied by its corresponding place value (ones, tens, hundreds, etc.). However, in the expanded form, this step is skipped and the final product is written.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The expanded form with decimal numbers is the mathematical expression to show the sum of the values of each digit in the number. Let\u2019s learn&nbsp; more about decimals, place value, and expanded forms below. What is Decimals? A decimal number is a number that consists of a whole number and a fractional part. The decimal &#8230; <a title=\"Expanded Form With Decimals &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/expanded-form-with-decimals\" aria-label=\"More on Expanded Form With Decimals &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1241","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\/1241","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=1241"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1241\/revisions"}],"predecessor-version":[{"id":40203,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1241\/revisions\/40203"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1241"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1241"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1241"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}