{"id":36571,"date":"2023-12-22T14:45:51","date_gmt":"2023-12-22T14:45:51","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=36571"},"modified":"2023-12-24T16:29:02","modified_gmt":"2023-12-24T16:29:02","slug":"multiplication-on-a-number-line-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line","title":{"rendered":"Multiplication on a Number Line \u2013 Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-f9bcfe6f-c89e-4fab-9f60-9040715ebffc\" 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-on-number-line#0-what-is-multiplication-on-a-number-line>What Is Multiplication on a Number Line?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line#2-how-to-represent-multiplication-on-a-number-line>How to Represent Multiplication on a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line#3-understanding-the-properties-of-multiplication-on-a-number-line>Understanding the Properties of Multiplication on a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line#4-solved-examples-on-multiplication-on-a-number-line>Solved Examples on Multiplication on a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line#5-practice-problems-on-multiplication-on-a-number-line>Practice Problems on Multiplication on a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line#6-frequently-asked-questions-about-multiplication-on-a-number-line>Frequently Asked Questions about Multiplication on a Number Line<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-multiplication-on-a-number-line\">What Is Multiplication on a Number Line?<\/h2>\n\n\n\n<p><strong>Multiplication on a number line refers to finding the product of two numbers with the help of a number line.&nbsp;<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\">Multiplication<\/a> is defined as repeated addition. It is a fundamental arithmetic operation in mathematics.<\/p>\n\n\n\n<p>The concept of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/equal-groups\">equal groups<\/a> is closely connected to multiplication. In multiplication, you combine equal groups of objects to find the total <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/quantity\">quantity<\/a>.<\/p>\n\n\n\n<p><strong>Example<\/strong>: 5 \u00d7 2 simply means \u201c5 equal groups of 2.\u201d<\/p>\n\n\n\n<p>We can write as a repeated addition.<\/p>\n\n\n\n<p>5 \u00d7 2= 2 + 2 + 2 + 2 + 2<\/p>\n\n\n\n<p>Check out 5 groups of balloons, where each group has 2 balloons each.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-as-repeated-addition.png\" alt=\"Multiplication as a repeated addition\" class=\"wp-image-36574\" title=\"Multiplication as a repeated addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-as-repeated-addition.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-as-repeated-addition-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Using a number line for a multiplication is the best way to visualize different multiplication facts. A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-line\">number line<\/a> is a straight line used to visually represent <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number\">numbers<\/a> in a particular range.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"403\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/numberline.png\" alt=\"A number line\" class=\"wp-image-36575\" title=\"A number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/numberline.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/numberline-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>How to show multiplication on a number line? Let\u2019s see. Suppose we want to multiply the number 3 by the number 4.&nbsp;<\/p>\n\n\n\n<p>3 \u00d7 4 = 3 groups of 4 = 3 jumps of 4<\/p>\n\n\n\n<p>Starting from zero, we take 3 jumps such that each jump has four steps. This is also known as \u201c<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/skip-count\">skip counting<\/a>.\u201d<\/p>\n\n\n\n<p>In other words, form three groups of 4 equal intervals starting from 0. The last number that we land on is our answer.&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"334\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-three-into-four.png\" alt=\"Multiplication on a number line example\" class=\"wp-image-36576\" title=\"Multiplication on a number line example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-three-into-four.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-three-into-four-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number 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\">10 and 100 More than the Same Number 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-1-digit-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\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit 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\">Add 1-Digit 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\/add-10-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number 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 10 to a 3-Digit Number 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-100-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number 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 100 to a 3-Digit Number 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-2-digit-and-1-digit-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\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit 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\">Add 2-Digit and 1-Digit 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\/add-2-digit-numbers-by-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\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By 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 2-Digit Numbers By 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-3-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\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 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\">Add 3 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\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects 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 3 Numbers Using Groups of Objects 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-3-numbers-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\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers 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 3 Numbers 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><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\" id=\"1-how-to-do-multiplication-on-a-number-line\">How to Do Multiplication on a Number Line<\/h2>\n\n\n\n<p>We consider two cases when multiplying numbers on a number line.<\/p>\n\n\n\n<p><strong>Case 1: <\/strong>Multiplying two positive numbers<\/p>\n\n\n\n<p>Here, we form equal groups of intervals starting from 0 and to the right of 0 (on a positive number line).<\/p>\n\n\n\n<p><strong>Case 2: <\/strong>Multiplying a positive number and a negative number<\/p>\n\n\n\n<p>Here, we form equal groups of intervals starting from 0 and to the left of 0 (on a negative number line).<\/p>\n\n\n\n<p>Let\u2019s note some important points.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><tbody><tr><td>(+) \u00d7 (+) = (+)&nbsp;<\/td><td>The product of two positive numbers is always positive.&nbsp;<\/td><\/tr><tr><td>(-) \u00d7 (-) = (+)&nbsp;<\/td><td>The product of two negative numbers is always positive.&nbsp;<\/td><\/tr><tr><td>(-) \u00d7 (+) = (-)&nbsp;<\/td><td>The product of a positive number and a negative number is negative.&nbsp;<\/td><\/tr><tr><td colspan=\"2\"><strong>Even-Odd Rule:<\/strong>If we multiply even number of negative numbers, the product is positive.If we multiply odd number of negative numbers, the product is positive.<\/td><\/tr><tr><td colspan=\"2\">When we multiply a number by (-1), we get its additive inverse.&nbsp;<img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"292\" class=\"wp-image-36577\" style=\"width: 500px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/additive-inverse-on-numberline.png\" alt=\"Additive inverse on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/additive-inverse-on-numberline.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/additive-inverse-on-numberline-300x175.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/td><\/tr><\/tbody><\/table><\/figure>\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\/1-and-2-more-within-10-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-10-horizontal-addition.jpeg\" alt=\"1 and 2 more within 10: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-10-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-10-vertical-addition.jpeg\" alt=\"1 and 2 more within 10: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-20-horizontal-addition.jpeg\" alt=\"1 and 2 more within 20: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-and-2-more-within-20-vertical-addition.jpeg\" alt=\"1 and 2 more within 20: Vertical 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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\" id=\"2-how-to-represent-multiplication-on-a-number-line\">How to Represent Multiplication on a Number Line<\/h2>\n\n\n\n<p>On a number line, the position of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/zero\">zero<\/a> is exactly in the middle of the number line. To the right of the zero, there are positive numbers. To the left of the zero, there are negative numbers.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Multiplication of Positive Numbers on a Number Line<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Consider an example.<\/p>\n\n\n\n<p><strong>Example:<\/strong> 5 \u00d7 3&nbsp;<\/p>\n\n\n\n<p>5 \u00d7 3 = 3 + 3 + 3 + 3 + 3<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p>We take 5 jumps of 3 starting from 0 to the right.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"264\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-five-into-three.png\" alt=\"5 \u00d7 3 on a number line\" class=\"wp-image-36578\" title=\"5 \u00d7 3 on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-five-into-three.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-five-into-three-300x128.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Multiplication of a Positive Number and a Negative Number on a Number Line<\/strong><\/li>\n<\/ul>\n\n\n\n<p>What happens when we multiply a negative number with a positive number on a number line? Let\u2019s understand with the help of an example.<\/p>\n\n\n\n<p><strong>Example: <\/strong><strong>4 <\/strong><strong>\u00d7 (<\/strong><strong>&#8211;<\/strong><strong>2)<\/strong><\/p>\n\n\n\n<p>4 \u00d7 (-2) = (-2) + (-2) + (-2) + (-2)<\/p>\n\n\n\n<p>Take 4 jumps of 2 to the left of 0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-example.png\" alt=\"(-4) \u00d7 2 on number line\" class=\"wp-image-36579\" title=\"(-4) \u00d7 2 on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplicaiton-on-number-line-example-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-understanding-the-properties-of-multiplication-on-a-number-line\">Understanding the Properties of Multiplication on a Number Line<\/h2>\n\n\n\n<p>Number line multiplication is also useful to understand different <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/properties-of-multiplication\">properties of multiplication<\/a>, such as the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/commutative-property\">commutative property<\/a>, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/associative-property\">associative property<\/a>, and the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property\">distributive property<\/a>.&nbsp;<\/p>\n\n\n\n<p>Consider an example. The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/commutative-property-of-multiplication\">commutative property of multiplication<\/a> states that the order in which we multiply two numbers does not affect the result.&nbsp;<\/p>\n\n\n\n<p>This property can be visualized on the number line by observing that the distance between two points on the number line is the same regardless of which point we start from.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> 6 \u00d7 4 = 4 \u00d7 6 = 24<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"241\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-commutative.png\" alt=\"Commutative property of multiplication on a number line\" class=\"wp-image-36580\" title=\"Commutative property of multiplication on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-commutative.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multilplication-on-number-line-commutative-300x117.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-solved-examples-on-multiplication-on-a-number-line\">Solved Examples on Multiplication on a Number Line<\/h2>\n\n\n\n<p><strong>1. Multiply 2 and 3 on the number line.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>2 \u00d7 3 = 3 +&nbsp; 3 = 2 jumps of 3 starting from 0 (to the right)<\/p>\n\n\n\n<p>Starting from zero, 2 groups of 3 equal intervals need to be formed on the number line.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"80\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-i.png\" alt=\"2 \u00d7 3 on number line\" class=\"wp-image-36581\" title=\"2 \u00d7 3 on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-i.png 302w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-i-300x79.png 300w\" sizes=\"auto, (max-width: 302px) 100vw, 302px\" \/><\/figure>\n\n\n\n<p>We landed on 6. The product is positive since both numbers are positive.<\/p>\n\n\n\n<p>Thus, 2 \u00d7 3 = 6<\/p>\n\n\n\n<p><strong>2. What is the product of (\u20136) and 3 on the number line?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(\u20136) \u00d7 3 = 6 jumps of 3 to the left of 0<\/p>\n\n\n\n<p>We move to the left due to the negative sign associated with 6.<\/p>\n\n\n\n<p>Starting from zero, 6 groups of 3 equal intervals need to be formed on the number line. Since one is a positive integer and the other is negative, the product will be negative.<\/p>\n\n\n\n<p>We land on (\u201318).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"62\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-ii.png\" alt=\"\" class=\"wp-image-36582\" title=\"Multiplication (\u20136) \u00d7 3 on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-ii.png 605w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-ii-300x31.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/figure>\n\n\n\n<p><strong>3. Multiply 4 and (\u20135) on a number line.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>(4) \u00d7 (\u20135) = (\u20135) + (\u20135) + (\u20135) + (\u20135) = 4 jumps of 5 to the left 0<\/p>\n\n\n\n<p>We move to the left due to the negative sign associated with 5.<\/p>\n\n\n\n<p>Starting from zero, 4 groups of 5 equal intervals need to be formed on the number line. Since one is a positive integer and the other is negative, the product will be negative. We land on \u201320.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"65\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iii.png\" alt=\"Multiplication 4 \u00d7 (\u20135) on a number line\" class=\"wp-image-36583\" title=\"Multiplication 4 \u00d7 (\u20135) on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iii.png 605w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iii-300x32.png 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/figure>\n\n\n\n<p><strong>4. Identify the multiplication operation that the given number line represents.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"579\" height=\"59\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iv.png\" alt=\"\" class=\"wp-image-36584\" title=\"Identify multiplication on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iv.png 579w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-iv-300x31.png 300w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>We can see 3 groups or 3 jumps starting from 0.<\/p>\n\n\n\n<p>Each group or interval has 5 equal parts.<\/p>\n\n\n\n<p>Starting from zero, 3 groups of 5 equal intervals are formed.&nbsp;<\/p>\n\n\n\n<p>Since both are positive integers, the product is to the right of 0.<\/p>\n\n\n\n<p>The final number we landed on is 15.<\/p>\n\n\n\n<p>Thus, the number line represents the multiplication 3 \u00d7 5 = 15.<\/p>\n\n\n\n<p><strong>5. Using the number line, multiply 4 and 6.&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Starting from zero, 4 groups of 6 equal intervals need to be formed on the number line. This way we will reach 24 forming 4 individual groups. Since both are positive integers, the product will be to the right of 0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"51\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-v.png\" alt=\"Multiplication 4 \u00d7 6 on a number line\" class=\"wp-image-36585\" title=\"Multiplication 4 \u00d7 6 on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-v.png 590w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-example-v-300x26.png 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-practice-problems-on-multiplication-on-a-number-line\">Practice Problems on Multiplication on a Number Line<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Multiplication on a Number Line \u2013 Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Choose the multiplication fact shown on the number line.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-i.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">5 \u2715 5<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 \u2013 5<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 + 3<\/div><div class=\"spq_answer_block\" data-value=\"3\">3 \u2715 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: 3 \u2715 5<br\/>There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.<\/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\">Which of the following number lines represent the multiplication of (-2) and 8?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">A<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-a.png\" alt=\"A\"><\/div><div class=\"spq_answer_block\" data-value=\"1\">B<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-b.png\" alt=\"B\"><\/div><div class=\"spq_answer_block\" data-value=\"2\">C<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-c.png\" alt=\"C\"><\/div><div class=\"spq_answer_block\" data-value=\"3\">D<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-d.png\" alt=\"D\"><\/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: B<br\/>We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.<\/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\">Which multiplication fact is shown by the following number line?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-iii.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">5 \u2715 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 + 2<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 \u2715 5<\/div><div class=\"spq_answer_block\" data-value=\"3\">5 \u2715 ( \u2013 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: 5 \u2715 2<br\/>5 jumps of 2 = 5 \u2715 2<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The multiplication fact shown by the number line given below is:<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-iv.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">4 \u2715 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">( \u2013 4) \u2715 ( \u2013 2)<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 \u2715 ( \u2013 2)<\/div><div class=\"spq_answer_block\" data-value=\"3\">( \u2013 4) \u2715 ( \u2013 3)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 \u2715 ( \u2013 2)<br\/>Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.<\/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\">Find the multiplication fact shown on the number line given below.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-v.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">4 \u2715 ( \u2013 5)<\/div><div class=\"spq_answer_block\" data-value=\"1\">4 \u2715 5<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 + 5<\/div><div class=\"spq_answer_block\" data-value=\"3\">3 \u2715 ( \u2013 5)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 \u2715 5<br\/>4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0<\/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 on a Number Line \u2013 Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Multiplication on a Number Line\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Choose the multiplication fact shown on the number line.\",\n                    \"text\": \"Choose the multiplication fact shown on the number line. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-i.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 \u2715 5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 \u2013 5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 + 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3 \u2715 5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"There are 3 groups of 5.<br>\r\nSo, the multiplication fact is 3 \u2715 5.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following number lines represent the multiplication of (-2) and 8?\",\n                    \"text\": \"Which of the following number lines represent the multiplication of (-2) and 8?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"A <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-a.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-c.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"D <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-ii-d.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"B\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We need to find 2 groups of 8, starting from 0, to the left of 0.<br>\r\nThis way we will reach \u2013 16.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which multiplication fact is shown by the following number line?\",\n                    \"text\": \"Which multiplication fact is shown by the following number line? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-iii.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 + 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 \u2715 5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 \u2715 ( \u2013 2)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5 \u2715 2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"5 jumps of 2 = 5 \u2715 2\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The multiplication fact shown by the number line given below is:\",\n                    \"text\": \"The multiplication fact shown by the number line given below is: <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-iv.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 \u2715 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"( \u2013 4) \u2715 ( \u2013 2)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"( \u2013 4) \u2715 ( \u2013 3)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4 \u2715 ( \u2013 2)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Starting from zero, 4 groups of 2 equal intervals need to be formed on the number line. This way we will reach \u2013 8 forming 4 individual groups. Since both are positive integers, the product will be to the left of 0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the multiplication fact shown on the number line given below.\",\n                    \"text\": \"Find the multiplication fact shown on the number line given below. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/multiplication-on-number-line-problem-v.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 \u2715 ( \u2013 5)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 + 5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 \u2715 ( \u2013 5)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4 \u2715 5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"4 \u2715 5 = 4 groups of 5 equal intervals on the right of 0\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-frequently-asked-questions-about-multiplication-on-a-number-line\">Frequently Asked Questions about Multiplication on a Number Line<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e66677d0-3d1d-4c65-bcae-76107bbbebde\" 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-e66677d0-3d1d-4c65-bcae-76107bbbebde\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e66677d0-3d1d-4c65-bcae-76107bbbebde\"><strong>How does the division on the number line work?<\/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-e66677d0-3d1d-4c65-bcae-76107bbbebde\">\n\n<p>Division is known as repeated subtraction. Starting from the dividend, we take the jumps of the length equal to the divisor until we reach 0. The number of jumps we take represents the quotient.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"122\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/division-on-number-line.png\" alt=\"Division on a number line\" class=\"wp-image-36588\" title=\"Division on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/division-on-number-line.png 382w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/division-on-number-line-300x96.png 300w\" sizes=\"auto, (max-width: 382px) 100vw, 382px\" \/><\/figure>\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-e66677d0-3d1d-4c65-bcae-76107bbbebde\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e66677d0-3d1d-4c65-bcae-76107bbbebde\"><strong>How do you add two negative integers on the number line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-e66677d0-3d1d-4c65-bcae-76107bbbebde\">\n\n<p>Suppose we have to add (-a)+(-b). First mark the first number \u201c-a\u201d on the number line. Then, we move towards the left from the marked number by \u201cb\u201d units.&nbsp;<br>(-5)+(-2) = (-7)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"412\" height=\"196\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-negative-integers-on-numberline.png\" alt=\"Addition of negative integers on number line\" class=\"wp-image-36589\" title=\"Addition of negative integers on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-negative-integers-on-numberline.png 412w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-negative-integers-on-numberline-300x143.png 300w\" sizes=\"auto, (max-width: 412px) 100vw, 412px\" \/><\/figure>\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-e66677d0-3d1d-4c65-bcae-76107bbbebde\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e66677d0-3d1d-4c65-bcae-76107bbbebde\"><strong>How do you subtract two positive numbers on the number line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-e66677d0-3d1d-4c65-bcae-76107bbbebde\">\n\n<p>To find a-b, we first mark the number a&nbsp; on the number line and then move b units to the left.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-e66677d0-3d1d-4c65-bcae-76107bbbebde\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e66677d0-3d1d-4c65-bcae-76107bbbebde\"><strong>What is skip counting? How can you use the number line to skip count?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-e66677d0-3d1d-4c65-bcae-76107bbbebde\">\n\n<p>To skip count means to count by skipping through a particular number of places in the counting sequence. On a number line, we take jumps of equal size each time. Take note of the numbers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-e66677d0-3d1d-4c65-bcae-76107bbbebde\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e66677d0-3d1d-4c65-bcae-76107bbbebde\"><strong>What are manipulatives used for teaching multiplication to kids?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-e66677d0-3d1d-4c65-bcae-76107bbbebde\">\n\n<p>Manipulatives used for teaching multiplication to kids include items like counters, number lines, arrays, tiles, or blocks.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Multiplication on a Number Line? Multiplication on a number line refers to finding the product of two numbers with the help of a number line.&nbsp; Multiplication is defined as repeated addition. It is a fundamental arithmetic operation in mathematics. The concept of equal groups is closely connected to multiplication. In multiplication, you combine &#8230; <a title=\"Multiplication on a Number Line \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication-on-number-line\" aria-label=\"More on Multiplication on a Number Line \u2013 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-36571","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\/36571","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=36571"}],"version-history":[{"count":6,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36571\/revisions"}],"predecessor-version":[{"id":36661,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36571\/revisions\/36661"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=36571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=36571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=36571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}