{"id":1245,"date":"2022-04-18T07:42:21","date_gmt":"2022-04-18T07:42:21","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1245"},"modified":"2024-01-01T17:00:00","modified_gmt":"2024-01-01T17:00:00","slug":"multiplying-decimals-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals","title":{"rendered":"Multiplying Decimals &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-b4f17df6-1feb-4d1e-9ec5-84da7edee5e0\" 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\/multiplying-decimals#0-introduction-of-multiplying-decimals>Introduction of Multiplying Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals#1-multiplying-decimals-with-whole-number>Multiplying Decimals with Whole Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals#2-multiplication-of-two-decimal-numbers>Multiplication of Two Decimal Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals#4-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals#6-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-introduction-of-multiplying-decimals\">Introduction of Multiplying Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiplication is an essential life skill that everyone needs to know. Multiplying decimals is a more advanced multiplication skill, which is an upskill compared to simple whole-number multiplications. Acquainting children with something that\u2019s a little complex\u2014like decimal multiplications\u2014will train them to undertake more complicated math concepts.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiplying decimals can seem complicated and daunting to young minds. As a parent or teacher, how can you bridge this gap between dislike and a vital math skill? Growing interest and curiosity can counter dislike or fear of a subject. SplashLearn is a platform built to assist young minds in comprehending complex mathematical concepts that align with the school curriculum through games.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, you read it right. After all, what is more tempting and interactive to kids than games? SplashLearn games are a fun and innovative way to teach theories and concepts to children, which would otherwise be a tedious enterprise for them.<\/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\/change-decimals-from-word-form-to-fraction-form\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_words_to_frac_tenths_pt.png\" alt=\"Change Decimals from Word Form to Fraction Form Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Change Decimals from Word Form to Fraction Form Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-and-order-decimals-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_make_way_23_gm.png\" alt=\"Compare and Order Decimals Using Place Value Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare and Order Decimals Using Place Value Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-decimals-with-same-wholes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_compare_dec_3_pt.png\" alt=\"Compare Decimals (with Same Wholes) Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare Decimals (with Same Wholes) Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-decimals-on-place-value-chart-same-wholes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_compare_dec_pv_3_pt.png\" alt=\"Compare Decimals on Place Value Chart\u2014 Same Wholes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare Decimals on Place Value Chart\u2014 Same Wholes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-decimals-using-number-line\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_compare_dec_nl_hun_pt.png\" alt=\"Compare Decimals Using Number Line Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare Decimals Using Number Line Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-decimals-using-place-value-chart\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_compare_dec_pv_chart_pt.png\" alt=\"Compare Decimals Using Place Value Chart Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare Decimals Using Place Value Chart Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = 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-multiplying-decimals-with-whole-number\">Multiplying Decimals with Whole Number<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiplying a decimal number with a whole number is similar to multiplying whole numbers. However, the decimal places in one of the numbers can make it seem difficult. So, let us see how we can simplify the process for you.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: Forget about the decimals. Yes, they don\u2019t play any role while you are performing the actual operation. Now, multiply the two numbers as you would do with whole numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: Count the number of digits after the decimal point.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: Place the decimal point in the product leaving the same number of digits from the right as the decimal places in the factor.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Pro Tip: Always remember that the product after multiplication must have the same number of decimal places as the factors.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, let us look at examples of multiplying decimals:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Find the product of $0.2 \\times 3$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"729\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-02-and-3.png\" alt=\"Finding product of 0.2 and 3\" class=\"wp-image-37168\" style=\"width:575px;height:676px\" title=\"Finding product of 0.2 and 3\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-02-and-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-02-and-3-255x300.png 255w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: We take the two numbers without considering the decimal, i.e., 2 and 3. We multiply them. So, we get $2 \\times 3 = 6$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: We count the number of digits after the decimal point. Here we have just one digit after the decimal.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: We place the decimal point in the product leaving behind one digit from the right. Since the product is 6, we have to place the decimal before it.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, the answer will be 0.6.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Find the product of $0.4 \\times 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly to find the product of 0.4 and 3, multiply the numbers without decimals i.e $4 \\times 3 = 12$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now there\u2019s one digit after decimal point so let\u2019s place the decimal point in the product leaving behind one digit from the right : 1.2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So $0.4 \\times 3 = 1.2$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-horizontal\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-horizontal.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Horizontal Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-missing-digits.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-missing-numbers.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-vertical\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-with-regrouping-vertical.jpeg\" alt=\"Add and Subtract Decimals less than 1 with Regrouping: Vertical Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-without-regrouping-horizontal\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-without-regrouping-horizontal.jpeg\" alt=\"Add and Subtract Decimals less than 1 without Regrouping: Horizontal Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-without-regrouping-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-without-regrouping-missing-digits.jpeg\" alt=\"Add and Subtract Decimals less than 1 without Regrouping: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-decimals-less-than-1-without-regrouping-missing-numbers\" 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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                   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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-multiplication-of-two-decimal-numbers\">Multiplication of Two Decimal Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">While multiplying two decimal numbers, you must consider the decimal places of both factors.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: Ignore the decimal places initially. Perform the multiplication of the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: Counter the number of decimal places in both the factors and calculate the sum of the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: Place the decimal point from the right end according to the number of decimal places you calculated in step 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Find the product of $15.62 \\times 0.7$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: We ignore the decimals and multiply the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$1562 \\times 7 = 10934$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: We count the number of decimal places in both the numbers and calculate their sum.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">15.62 has 2 decimal places, and 0.72 has 1 decimal place. Therefore, the sum of the decimal factors is 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: We place the decimal in the product leaving behind three digits from the right.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $15.62 \\times 0.7 = 10.934$&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"380\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/understanding-decimal-places-in-multiplying-decimals.png\" alt=\"Understanding decimal places in multiplying decimals\" class=\"wp-image-37169\" title=\"Understanding decimal places in multiplying decimals\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/understanding-decimal-places-in-multiplying-decimals.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/understanding-decimal-places-in-multiplying-decimals-300x184.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-multiplication-of-decimals-by-10-100-and-1000\">Multiplication of Decimals by 10, 100, and 1000<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When we multiply a decimal number by 10, the decimal shifts to the right of the number by one place.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, $15.2705 \\times 10 = 152.705$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"311\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplying-decimals-by-10.png\" alt=\"Multiplying Decimals by 10\" class=\"wp-image-37171\" title=\"Multiplying Decimals by 10\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplying-decimals-by-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplying-decimals-by-10-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, only one change takes place in the solution: the decimal shift from its position in 15.2705 to one place to the right. So, we get 152.705 as the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When we multiply a decimal number by 100, the decimal shifts to the right of the number by two places.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, $15.2705 \\times 100 = 1527.05$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When we multiply a decimal number by 1000, the decimal shifts to the right of the number by three places.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, $15.2705 \\times 1000 = 15270.5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, when we have to multiply a decimal number by 10, 100, or 1000, we shift the decimal to the right of the number according to the number of zeros behind 1.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us consider a few examples:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$53.5 \\times 10 = 535$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$469.127 \\times 10 = 4691.27$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$398.16 \\times 100 = 39816$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$826.3 \\times 100 = 82630.0$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$0.137 \\times 100 = 13.7$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1) Find the product of <\/strong>$9.2 \\times 0.08$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"758\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-92-and-008.png\" alt=\"Finding product of decimals 9.2 and 0.08\" class=\"wp-image-37172\" title=\"Finding product of decimals 9.2 and 0.08\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-92-and-008.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-92-and-008-245x300.png 245w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: We ignore the decimals and multiply the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$92 \\times 8 = 736$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: We observe that 9.2 has 1 decimal place, and 0.08 has 2 decimal places. Therefore, the sum of the decimal factors is 3.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: We place the decimal in the product leaving behind three digits from the right.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $9.2 \\times 0.08 = 0.736$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2) Find the product of <\/strong>$20.1 \\times 6.0$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"685\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-201-and-60.png\" alt=\"Finding product of decimals 20.1 and 6.0\" class=\"wp-image-37173\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-201-and-60.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-decimals-201-and-60-272x300.png 272w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: We ignore the decimals and multiply the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$201 \\times 60 = 12060$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: We observe that 20.1 has 1 decimal place, and 6.0 has 1 decimal place. Therefore, the sum of the decimal factors is 2.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: We place the decimal in the product leaving two digits from the right.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $20.1 \\times 6.0 = 120.60$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3) Find the product of <\/strong>$36 \\times 0.5$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"615\" height=\"457\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-36-and-05.png\" alt=\"Finding product of 36 and 0.5\" class=\"wp-image-37174\" title=\"Finding product of 36 and 0.5\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-36-and-05.png 615w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-product-of-36-and-05-300x223.png 300w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 1: We ignore the decimal and multiply the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$36 \\times 5 = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 2: We observe that 0.5 has 1 decimal place.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Step 3: We place the decimal in the product leaving behind one digit from the right.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $36 \\times 0.5= 18.0$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Multiplying Decimals - Definition with Examples<\/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\">What will you get if you multiply 341.58 with 4?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-1-2.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">136632<\/div><div class=\"spq_answer_block\" data-value=\"1\">1366.32<\/div><div class=\"spq_answer_block\" data-value=\"2\">136.623<\/div><div class=\"spq_answer_block\" data-value=\"3\">13363.2<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1366.32<br\/>We ignore the decimal and multiply the given numbers.<br>\r\nWe get $34158 \\times 4 = 136632$<br>\r\nSince $341.58$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $1366.32$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which one of the following is the right answer for the given multiplication problem? $64 \\times 8.3$<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-2-3.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">531.2<\/div><div class=\"spq_answer_block\" data-value=\"1\">351.2<\/div><div class=\"spq_answer_block\" data-value=\"2\">53.12<\/div><div class=\"spq_answer_block\" data-value=\"3\">5.312<\/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: 531.2<br\/>We ignore the decimal and multiply the given numbers.<br>\r\nWe get $64 \\times 83 = 5312$<br>\r\nSince $8.3$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $531.2$<\/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\">Find the product of $5.27 \\times 3.9$.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-3-2.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">2055.3<\/div><div class=\"spq_answer_block\" data-value=\"1\">17.553<\/div><div class=\"spq_answer_block\" data-value=\"2\">20.553<\/div><div class=\"spq_answer_block\" data-value=\"3\">25.053<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 20.553<br\/>We ignore the decimals and multiply the given numbers.<br>\r\nWe get $527 \\times 39 = 20553$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $20.553$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        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 \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$34158 \\\\times 4 = 136632$$<br>\r\nSince $$341.58$$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $$1366.32$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"136.623\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$34158 \\\\times 4 = 136632$$<br>\r\nSince $$341.58$$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $$1366.32$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"13363.2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$34158 \\\\times 4 = 136632$$<br>\r\nSince $$341.58$$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $$1366.32$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1366.32\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$34158 \\\\times 4 = 136632$$<br>\r\nSince $$341.58$$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $$1366.32$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$34158 \\\\times 4 = 136632$$<br>\r\nSince $$341.58$$ has two decimal places, we place the decimal in the product leaving two digits from the right.<br>\r\nSo, the answer is $$1366.32$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which one of the following is the right answer for the given multiplication problem? $$64 \\\\times 8.3$$\",\n                    \"text\": \"Which one of the following is the right answer for the given multiplication problem? $$64 \\\\times 8.3$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-2-3.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"351.2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"53.12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5.312\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"531.2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We ignore the decimal and multiply the given numbers.<br>\r\nWe get $$64 \\\\times 83 = 5312$$<br>\r\nSince $$8.3$$ has one decimal place, we place the decimal in the product leaving behind one digit from the right.<br>\r\nSo, the answer is $$531.2$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the product of $$5.27 \\\\times 3.9$$.\",\n                    \"text\": \"Find the product of $$5.27 \\\\times 3.9$$. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Practice-Problems-3-2.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2055.3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"17.553\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25.053\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"20.553\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We ignore the decimals and multiply the given numbers.<br>\r\nWe get $$527 \\\\times 39 = 20553$$<br>\r\nSince 5.27 has two decimal places and 3.9 has one decimal place, we place the decimal in the product leaving behind three digits from the right.<br>\r\nSo, the answer is $$20.553$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\" 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-0-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\"><strong>How can we multiply decimals by 10 and 100?<\/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-0-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\">\n\n<p class=\"wp-block-paragraph\">While multiplying a decimal by 10, shift the decimal to the right by one place. And when multiplying a decimal by 100, shift the decimal point by two places.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, $4.89 \\times 10= 48.9$ and $3.4 \\times 100 = 340$<\/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-1-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\"><strong>What is the rule for multiplication of 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-1-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\">\n\n<p class=\"wp-block-paragraph\">There is no particular rule for decimal multiplication. First, multiply the given numbers as you would do with whole numbers. Then, calculate the sum of decimal places in both the factors and apply the same to the answer.<\/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-2-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\"><strong>Will multiplying decimals always give a greater product?<\/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-2-2ee8fbb3-7e10-434b-a95d-65bdbf55b4b1\">\n\n<p class=\"wp-block-paragraph\">No. If one of the decimal numbers is less than 1, then the product will be smaller. But if both decimal numbers are greater than 1, then the product will also be greater than the numbers.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Introduction of Multiplying Decimals Multiplication is an essential life skill that everyone needs to know. Multiplying decimals is a more advanced multiplication skill, which is an upskill compared to simple whole-number multiplications. Acquainting children with something that\u2019s a little complex\u2014like decimal multiplications\u2014will train them to undertake more complicated math concepts. Multiplying decimals can seem complicated &#8230; <a title=\"Multiplying Decimals &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/multiplying-decimals\" aria-label=\"More on Multiplying 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-1245","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\/1245","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=1245"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1245\/revisions"}],"predecessor-version":[{"id":37175,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1245\/revisions\/37175"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}