{"id":2106,"date":"2022-04-26T08:25:42","date_gmt":"2022-04-26T08:25:42","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2106"},"modified":"2024-04-02T09:56:33","modified_gmt":"2024-04-02T09:56:33","slug":"multiplication-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication","title":{"rendered":"Multiplication \u2013 Definition, Examples, Practice Problems, FAQs"},"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-679ebcbc-217d-4c3b-a625-b17fc545ecf1\" 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\/multiplication\/multiplication#0-multiplication-definition-in-math>Multiplication Definition in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication#1-symbol-of-multiplication>Symbol of Multiplication<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication#11-solved-examples-on-multiplication>Solved Examples On Multiplication<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication#12-practice-problems-on-multiplication>Practice Problems On Multiplication<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication#13-frequently-asked-questions-on-multiplication>Frequently Asked Questions On Multiplication<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">$8 + 8 = ?$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8 + 8 + 8 + 8 = ?$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8 + 8 + 8 + 8 + 8 + 8 + 8 = ?$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Don\u2019t you think it\u2019s too tedious to add 8 so many times.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">There is an easy and better way to do this.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-multiplication-definition-in-math\">Multiplication Definition in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Multiplication is one of the four basic arithmetic operations, alongside <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" target=\"_blank\" rel=\"noopener\" title=\"\">addition<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" target=\"_blank\" rel=\"noopener\" title=\"\">subtraction<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" target=\"_blank\" rel=\"noopener\" title=\"\">division<\/a>. <\/strong>In math, multiply means the repeated addition of groups of equal sizes.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To understand better, let us take a multiplication example of the ice creams.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"308\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/group-of-three-ice-creams-for-multiplication.png\" alt=\"group of three ice creams for multiplication\" class=\"wp-image-41626\" title=\"group of three ice creams for multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/group-of-three-ice-creams-for-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/group-of-three-ice-creams-for-multiplication-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Each group has ice creams, and there are two such groups.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total ice creams are $3 + 3 = 6$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">However, you have added two groups of 3 ice creams. Therefore, you have multiplied three ice creams by two. You may also write it as $2 \\times 3 = 6$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As we can see, $3 + 3$ is the same as $2 \\times 3$.When we multiply two numbers, the answer is called <strong>product<\/strong>. The number of objects in each group is called <strong>multiplicand<\/strong>, and the number of such equal groups is called the<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplier\" target=\"_blank\" rel=\"noopener\" title=\"\"> <strong>multiplier<\/strong><\/a><strong>.<\/strong> In our case, $3$ is the multiplicand, $2$ is the multiplier and 6 is the product.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiplier-multiplicand-product.png\" alt=\"\u00a0Multiplier \u00d7 Multiplicand = Product\" class=\"wp-image-41627\" title=\"\u00a0Multiplier \u00d7 Multiplicand = Product\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiplier-multiplicand-product.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiplier-multiplicand-product-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">There are many ways to read an equation that involves multiplication.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $2 \\times 3 = 6$. It can be read as follows:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two multiplied by three is six.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two times three is six.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two threes are six.&nbsp;<\/li>\n<\/ul>\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\/choose-the-correct-product-for-the-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_mult_match_4dby1d_fluently_pt.png\" alt=\"Choose the Correct Product for the Multiplication Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Product for the Multiplication Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-missing-number-in-the-multiplication-solution\" 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\/mult_div_pv_find_missing_2dby1d_pt.png\" alt=\"Choose the Missing Number in the Multiplication Solution 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 Missing Number in the Multiplication Solution 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-multiplication-expression-representing-fraction-models\" 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\/fractions_represent_mult_unit_by_whole_pt.png\" alt=\"Choose the Multiplication Expression Representing Fraction Models 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 Multiplication Expression Representing Fraction Models 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-product-for-the-multiplication-questions\" 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\/mult_div_pv_find_product_4dby1d_1_pt.png\" alt=\"Choose the Product for the Multiplication Questions 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 Product for the Multiplication Questions 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-to-complete-each-of-the-multiplication-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_mult_match_3dby1d_fluently_pt.png\" alt=\"Choose to Complete each of the Multiplication Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose to Complete each of the Multiplication Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-decimal-multiplication-pattern\" 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_mul_div_complete_mul_pattern_pt.png\" alt=\"Complete the Decimal Multiplication Pattern 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\">Complete the Decimal Multiplication Pattern 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\/complete-the-multiplication-between-fractions-and-whole-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\/fractions_complete_multiplication_pt.png\" alt=\"Complete the Multiplication Between Fractions and Whole 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\">Complete the Multiplication Between Fractions and Whole 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-multiplication-expression-using-the-fraction-models\" 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\/fractions_multiply_models_unit_by_whole_pt.png\" alt=\"Complete the Multiplication Expression Using the Fraction Models 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\">Complete the Multiplication Expression Using the Fraction Models 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\/complete-the-multiplication-fact-of-11\" 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\/mult_div_pv_missing_num_pt.png\" alt=\"Complete the Multiplication Fact of 11 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\">Complete the Multiplication Fact of 11 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\/complete-the-multiplication-facts-of-2\" 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\/mult_div_facts_mul_numMissing2_pt.png\" alt=\"Complete the Multiplication Facts of 2 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\">Complete the Multiplication Facts of 2 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-symbol-of-multiplication\">Symbol of Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Multiplication is represented by the signs cross (\u00d7), asterisk (*), or dot (\u00b7). While writing in your notebooks, you are most likely to use the cross. The asterisk and dot are used in computer languages and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra\" target=\"_blank\" rel=\"noopener\" title=\"\">algebra<\/a> (higher mathematics).&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>For example:<\/strong> $6 \\times 5 = 30$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$7 * 8 = 56$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 \u00b7 4 = 20$<\/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\/addition-and-multiplication-expression-for-array\" 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\/addition-and-multiplication-expression-for-array.jpeg\" alt=\"Addition and Multiplication Expression for Array 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\/addition-and-multiplication-expressions\" 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\/addition-and-multiplication-expressions.jpeg\" alt=\"Addition and Multiplication Expressions 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\/apply-multiplication-in-everyday-life\" 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\/apply-multiplication-in-everyday-life.jpeg\" alt=\"Apply Multiplication in Everyday Life 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\/break-the-multiplication-expression\" 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\/break-the-multiplication-expression.jpeg\" alt=\"Break the Multiplication Expression 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\/choose-your-own-multiplication-strategy\" 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\/choose-your-own-multiplication-strategy.jpeg\" alt=\"Choose Your own Multiplication Strategy 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\/commutative-property-of-multiplication\" 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\/commutative-property-of-multiplication.jpeg\" alt=\"Commutative Property of Multiplication 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 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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\/comparing-multiplication-expressions.jpeg\" alt=\"Comparing Multiplication Expressions 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\/complete-multiplication-and-division-sentences\" 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\/complete-multiplication-and-division-sentences.jpeg\" alt=\"Complete Multiplication and Division Sentences 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\/complete-multiplication-sentence\" 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\/complete-multiplication-sentence.jpeg\" alt=\"Complete Multiplication Sentence 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-multiplying-integers\">Multiplying Integers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In order to multiply the integers, we need to see the sign of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\" target=\"_blank\" rel=\"noopener\" title=\"\">integers<\/a>.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Multiply two positive integers<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The product of the two positive integers is always a positive integer.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: $5 \\times 6 = 30$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Multiply one positive and one negative integer<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-the-product-of-a-positive-and-negative-integer-is-always-a-negative-number-\">The product of a positive and negative integer is always a negative number.&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">For example: $(-$ $5) \\times 6 = (-$ $30)$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Multiply two negative integers<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The product of two negative integers is always a positive integer.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: $(-$ $5) \\times ( -$ $6) = 30$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-multiplying-fractions\">Multiplying Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In order to multiply the fractions, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" target=\"_blank\" rel=\"noopener\" title=\"\">numerators<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\" target=\"_blank\" rel=\"noopener\" title=\"\">denominators<\/a> are multiplied together such that:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{a}{b} \\times \\frac{c}{d} = \\frac{a \\times c}{b \\times d}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: Multiply $\\frac{1}{2}$ and $\\frac{3}{4}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{2} \\times {3}{4} = \\frac{1 \\times 3}{2 \\times 4} = 38$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-multiplying-decimals\">Multiplying Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the decimals is the same as multiplying the integers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: Multiply $13.2$ and $3.5$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us multiply $13.2$ and $3.5$ by removing the decimals here and consider them <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" target=\"_blank\" rel=\"noopener\" title=\"\">whole numbers<\/a>. Hence,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$132 \\times 35 = 4620$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We put the decimal point back, then the product of the two decimal numbers will have decimal up to two positions from right to left, such that<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$13.2 \\times 3.5 = 46.20$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-multiplying-numbers-with-powers\">Multiplying Numbers with Powers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In math, powers define a base raised to the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/exponent\" target=\"_blank\" rel=\"noopener\" title=\"\">exponent<\/a>. For example: $3^2, {(-5)}^4$.<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>When the base is the same but power is different<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Let the two expressions be $x^m$ and $x^n$. Here, the base is \u201c<em>x<\/em>\u201d.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When the terms with the same base are multiplied, the powers gets added, i.e., $x^m$ $x^n = x^{(m + n)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: $3^2$ $3^5=3^{2+5} = 3^7$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>When the base is different but the exponent is the same<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Let the two expressions be $x^m$ and $y^m$. Here, the power is \u201c<em>m<\/em>\u201d.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When the terms with the same exponents are multiplied, the bases are multiplied first and then we apply the exponent, i.e., $x^my^m = (xy)^m$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: $3^24^2=(3 \\times 4)^2=12^2 = 144$<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>When the bases and powers are different<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Let the two expressions be xn and ym. Here, the bases are x and y. The powers are n and m. When we multiply these expressions, each expression is evaluated separately and then multiplied. It can be written mathematically as<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x^ny^m = (x)^n(y)^m$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For example: $3^2 \\times 4^3=9 \\times 64 = 576$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-properties-of-multiplication\">Properties of Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Just like addition, multiplication also follows specific properties, which are as follows:&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Commutative Property:<\/strong> This property states that when we multiply two numbers, the order will not cause any change in the product.<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Let us consider $2 \\times 3 = 6$, for example. If we reverse the order, i.e., compute $3 \\times 2$, the answer will still be $6$.&nbsp;<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Associative Property: <\/strong>This property states that if we multiply three numbers or more, one after the other, the order does not matter. For example: if we have to $2, 3$ and $4$:<\/li>\n<\/ol>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$(2 \\times 3) \\times 4 = 24$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$2 \\times (3 \\times 4) = 24$<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">If you jumble the order and multiply, the result will still not change.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$3 \\times (2 \\times 4) = 24$<\/li>\n<\/ul>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Distributive Property: <\/strong>This property states that if you multiply a number by the sum of two numbers, the result will be equal to the sum of products you obtain by multiplying that number by those two numbers individually. For example, $3 \\times 8$.<\/li>\n<\/ol>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">You can write $8$ as $6 + 2$. Therefore $3 \\times 8 = 3 \\times (6 + 2) = 24$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Now, $3 \\times 6 = 18$. Also, $3 \\times 2 = 6$.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$18 + 6 = 24 = 3 \u00d7 8$. Therefore, distributive property holds true.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-tips-to-master-multiplication\">Tips to Master Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Here are some tips that will come in handy while multiplying:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Memorizing tables: <\/strong>Multiplication is all a game of tables. So, if you have tables at your fingertips, you will find little easy to multiply.<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Making good use of the properties:<\/strong> If you are thorough with the properties of multiplication, you will be able to deconstruct complex problems into simpler ones. For example:<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\">$3 \\times 13 = 3 \\times (10 + 3) = (3 \\times 10) + (3 \\times 3)$ (Distributive property)<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">This also helps in deriving new facts from the known facts.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>For example :<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If you know $2 \\times 9 $ is $18$, using the commutative property of multiplication, you also know that $9 \\times 2$ is also $18$.<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\">If you know $2 \\times 10$ is $20$ and $2 \\times 4 $ is $ 8$, using the distributive property of multiplication, you also know that $2 \\times 14$ is $ 28$.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-fun-facts\">Fun Facts<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If you multiply any number by $1$, the answer will be the number itself. One is called the identity element under multiplication.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">If you multiply any number by zero, the result is always zero.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Multiplication is not just an arithmetic tool. It is a life skill that students must master at a very early age to solve real life problems.&nbsp; We hope this helped you deepen your understanding of the subject.To read more such informative articles on other concepts, do visit our <a href=\"https:\/\/www.splashlearn.com\/ela-games\">website<\/a>. We, at Splashlearn, are on a mission to make learning fun and interactive for all students.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-solved-examples-on-multiplication\">Solved Examples On Multiplication<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>&nbsp;Multiply <\/strong>$4 \\times 2$<strong> using a number line.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiply-4-\u00d7-2-using-a-number-line.png\" alt=\"\u00a0Multiply 4 \u00d7 2 using a number line.\" class=\"wp-image-41628\" title=\"\u00a0Multiply 4 \u00d7 2 using a number line.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiply-4-\u00d7-2-using-a-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/multiply-4-\u00d7-2-using-a-number-line-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">$4 \u00d7 2$ means $4$ jumps of $2$ or $2$ jumps of $4$ which is $8$ in both cases.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>&nbsp;Compute the problem: <\/strong>$2 \\times 16$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">$2 \\times 16 = 2 \\times (10 + 6) = (2 \\times 10) + (2 \\times 6)&nbsp; = 20 + 12 = 32$.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$3 \\times 25 = 25 \\times 3$<strong>. Which property is this?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">The property given above is the commutative property of multiplication i.e. $a \\times b = b \\times a$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;&nbsp;IV. What should we multiply to <\/strong>$(-$ $24)$<strong> to get the product as <\/strong>$48$<strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the number be x.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(-$ $24) \\times \\times = 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x = -$ $2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;&nbsp;&nbsp;V. Multiply <\/strong>$\\frac{2}{5}$<strong> and <\/strong>$\\frac{15}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{5} \\times \\frac{15}{8} = \\frac{3}{4}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-practice-problems-on-multiplication\">Practice Problems On Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Multiplication<\/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\">Observe the image and answer the question using multiplication. <br> How many flowers are there in total?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Multiplication-5-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">12<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">8<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/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: 12<br\/>Each group has $4$ flowers. There are $3$ groups in total. Therefore, the total number of flowers = $3 \u00d7 4 = 12$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Compute $16 \u00d7 9$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">147<\/div><div class=\"spq_answer_block\" data-value=\"1\">144<\/div><div class=\"spq_answer_block\" data-value=\"2\">156<\/div><div class=\"spq_answer_block\" data-value=\"3\">180<\/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: 144<br\/>$16 \u00d7 9 = (10 + 6) \u00d7 9 = (10 \u00d7 9) + (6 \u00d7 9) = 90 + 54 = 144$<\/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\">If you have 5 friends, and each friend gives you 2 apples, how many apples do you get in total?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">12<\/div><div class=\"spq_answer_block\" data-value=\"3\">9<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 10<br\/>You have $5$ friends. Each friend gives you $2$ apples. Therefore, total apples you get $= 5 \u00d7 2 = 10$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Each plant blossoms 4 flowers. A row has 8 plants. There are 15 rows in the garden. How many flowers are there in total?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">480<\/div><div class=\"spq_answer_block\" data-value=\"1\">400<\/div><div class=\"spq_answer_block\" data-value=\"2\">320<\/div><div class=\"spq_answer_block\" data-value=\"3\">350<\/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: 480<br\/>Number of flowers in each plant $= 4$<br>\r\nNumber of plants in a row $= 8$<br>\r\nNumber of rows $= 15$<br>\r\nTotal number of flowers $= 4 \u00d7 8 \u00d7 15 = 480$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Multiply $3x^2 y$by$ -10xy^3$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-30x^2y^3$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-30x^3y^4$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$30x^3y^4$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$ -30x^3y^5$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $-30x^3y^4$<br\/>$3x^2y x- 10xy^3 =- 30x^3y^4$<\/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\": \"Multiplication\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Multiplication\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Observe the image and answer the question using multiplication. <br> How many flowers are there in total?\",\n                    \"text\": \"Observe the image and answer the question using multiplication. <br> How many flowers are there in total? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Multiplication-5-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each group has $$4$$ flowers. 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                    \"@type\": \"Comment\",\n                        \"text\": \"Number of flowers in each plant $$= 4$$<br>\r\nNumber of plants in a row $$= 8$$<br>\r\nNumber of rows $$= 15$$<br>\r\nTotal number of flowers $$= 4 \u00d7 8 \u00d7 15 = 480$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Multiply $$3x^2 y$$by$$ -10xy^3$$\",\n                    \"text\": \"Multiply $$3x^2 y$$by$$ -10xy^3$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-30x^2y^3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$30x^3y^4$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$ -30x^3y^5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-30x^3y^4$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$3x^2y x- 10xy^3 =- 30x^3y^4$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-frequently-asked-questions-on-multiplication\">Frequently Asked Questions On Multiplication<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e021a47b-389e-4889-82b9-d3d548a57433\" 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-e021a47b-389e-4889-82b9-d3d548a57433\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e021a47b-389e-4889-82b9-d3d548a57433\"><strong><strong>What should be multiplied with a number to get the same number?<\/strong><\/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-e021a47b-389e-4889-82b9-d3d548a57433\">\n\n<p class=\"eplus-wrapper\">should be multiplied with a number to get the number itself.&nbsp;<br><strong>For example &#8211;<\/strong> $10 \u00d7 1 = 10$<\/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-e021a47b-389e-4889-82b9-d3d548a57433\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e021a47b-389e-4889-82b9-d3d548a57433\"><strong>What is the purpose of multiplication<\/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-e021a47b-389e-4889-82b9-d3d548a57433\">\n\n<p class=\"eplus-wrapper\">Multiplication <strong>helps us find the total number of items quickly<\/strong>. For this we will think about the number of equal sized groups and the number of items in each group.<\/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-e021a47b-389e-4889-82b9-d3d548a57433\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e021a47b-389e-4889-82b9-d3d548a57433\"><strong>What are the numbers in multiplication called?<\/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-e021a47b-389e-4889-82b9-d3d548a57433\">\n\n<p class=\"eplus-wrapper\">The numbers to be multiplied are generally called the &#8220;factors&#8221;. The number to be multiplied is the &#8220;multiplicand&#8221;, and the number by which it is multiplied is the &#8220;multiplier&#8221;.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>$8 + 8 = ?$ $8 + 8 + 8 + 8 = ?$ $8 + 8 + 8 + 8 + 8 + 8 + 8 = ?$ Don\u2019t you think it\u2019s too tedious to add 8 so many times.&nbsp; There is an easy and better way to do this.&nbsp; Multiplication Definition in Math &#8230; <a title=\"Multiplication \u2013 Definition, Examples, Practice Problems, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" aria-label=\"More on Multiplication \u2013 Definition, Examples, Practice Problems, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2106","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\/2106","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=2106"}],"version-history":[{"count":57,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2106\/revisions"}],"predecessor-version":[{"id":41629,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2106\/revisions\/41629"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}