{"id":2471,"date":"2022-04-28T06:33:38","date_gmt":"2022-04-28T06:33:38","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2471"},"modified":"2023-05-04T12:12:59","modified_gmt":"2023-05-04T12:12:59","slug":"subtract-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract","title":{"rendered":"Subtraction &#8211; Definition, Symbol, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"eplus-wrapper wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"eplus-wrapper wp-block-column 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-1e83ca33-1f3b-483d-b448-81de962b1807\" 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\/subtraction\/subtract#1-what-is-subtraction-in-math>What is Subtraction in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract#3-symbol-of-subtraction>Symbol of Subtraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract#16-regrouping-in-math>Regrouping in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract#20-solved-examples-on-subtraction>Solved Examples On Subtraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract#21-practice-problems-on-subtraction>Practice Problems On Subtraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract#22-frequently-asked-questions-on-subtraction>Frequently Asked Questions On Subtraction<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-subtraction-introduction\">Subtraction: Introduction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Suppose we purchase ice cream for a certain amount of money, say $\\$140$, and we give $\\$200$ to the cashier. Now, the cashier returns the excess amount by performing subtraction such as $200 \u2212 140 = 60$. Then, the cashier will return $\\$60$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">What is exactly happening here?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The answer to this question is subtraction.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/break-into-tens-and-ones-to-subtract\" 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_sub_brk_tens_hund_horizontal_pt.png\" alt=\"Break into Tens and Ones to Subtract 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\">Break into Tens and Ones to Subtract 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\/break-the-hundreds-to-subtract\" 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_sub_brk_hundreds_horizontal_pt.png\" alt=\"Break the Hundreds to Subtract 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\">Break the Hundreds to Subtract 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\/break-the-tens-to-subtract\" 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_sub_brk_tens_horizontal_pt.png\" alt=\"Break the Tens to Subtract 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\">Break the Tens to Subtract 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-related-facts-of-addition-and-subtraction\" 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_complete_related_fact_pt.png\" alt=\"Complete Related Facts of Addition and Subtraction 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 Related Facts of Addition and Subtraction 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-subtraction-sentences-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_sub_regrp_2d_2d_missing_pt.png\" alt=\"Complete Subtraction Sentences 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\">Complete Subtraction Sentences 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\/complete-subtraction-using-pictures\" 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_sub_using_pic_pt.png\" alt=\"Complete Subtraction using Pictures 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 Subtraction using Pictures 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-fraction-subtraction\" 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_subtraction_unlike_pt.png\" alt=\"Complete the Fraction Subtraction 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 Fraction Subtraction 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-mixed-numbers-subtraction\" 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_subtraction_mixed_pt.png\" alt=\"Complete the Mixed Numbers Subtraction 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 Mixed Numbers Subtraction 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-related-subtraction-facts\" 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_related_sub_facts_pt.png\" alt=\"Complete the Related Subtraction Facts 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 Related Subtraction Facts 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-subtraction-between-a-mixed-number-and-a-fraction\" 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_sub_pt.png\" alt=\"Complete the Subtraction between a Mixed Number and a Fraction 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 Subtraction between a Mixed Number and a Fraction 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-what-is-subtraction-in-math\">What is Subtraction in Math?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Subtraction is one of the four basic <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/arithmetic\" target=\"_blank\" rel=\"noopener\" title=\"\">arithmetic<\/a> operations in mathematics. The other three being <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\/multiplication\/multiplication\" target=\"_blank\" rel=\"noopener\" title=\"\">multiplication<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" target=\"_blank\" rel=\"noopener\" title=\"\">division<\/a>.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can observe the applications of subtraction in our day-to-day life in different situations.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, if we have 3 candies and our friend asks us for 1 candy, how many candies are we left with? Simply,&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$3 \u2212 1 = 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Let\u2019s understand the concept with the help of the following example of apples.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"282\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract1.png\" alt=\"Subtraction using objects\" class=\"wp-image-20742\" title=\"Subtraction using objects\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract1-300x136.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">In the example above, if Harry has 6 apples and he gives 3 apples to Jim, How many apples are left with him?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can calculate this by subtracting 3 from 6:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$6 \u2212 3 = 3$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Harry is left with 3 apples.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-multiples-of-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-multiples-of-10.jpeg\" alt=\"Add & Subtract Multiples of 10 Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-horizontal-addition-and-subtraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-horizontal-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Horizontal Addition and Subtraction Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-horizontal-timed-practice\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-horizontal-timed-practice.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Horizontal Timed Practice\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-missing-digits.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-missing-numbers.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-vertical-addition-and-subtraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-1-digit-numbers-within-20-vertical-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 1-Digit Numbers within 20: Vertical Addition and Subtraction 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 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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\/add-and-subtract-2-digit-and-1-digit-numbers-with-regrouping-missing-digits.jpeg\" alt=\"Add and Subtract 2-Digit and 1-Digit Numbers with Regrouping: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><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 = 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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 eplus-wrapper\" id=\"2-definition-of-subtraction\">Definition of Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>The operation or process of finding the difference between two numbers or quantities is known as subtraction.<\/strong> To subtract a number from another number is also referred to as \u2018taking away one number from another\u2019. Some instances where we use subtraction are while making payments, transferring money to our friends and many more.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-symbol-of-subtraction\">Symbol of Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In mathematics, we have generally used different symbols for different operators. We have symbols like $+, \u2212, \/, *$ and many more. The subtraction symbol $\u201c\u2212\u201d$ is one of the most important math symbols that we use. In the above section, we read about subtracting two numbers 6 and 3. If we observe this expression: $(6 \u2212 3 = 3)$, the symbol $(\u2212)$ between the two numbers is what denotes subtraction. This symbol is also known as the minus $(\u2212)$ sign.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-formula-of-subtraction-operation\">Formula of Subtraction Operation<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">When we subtract two numbers, we commonly use some terms that are used in a subtraction expression:<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Minuend<\/strong>: A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/minuend\" target=\"_blank\" rel=\"noopener\" title=\"\">minuend<\/a> is the number from which the other number is subtracted.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Subtrahend<\/strong>: A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtrahend\" target=\"_blank\" rel=\"noopener\" title=\"\">subtrahend<\/a> is the number which is to be subtracted from the minuend.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Difference<\/strong>: A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/difference\" target=\"_blank\" rel=\"noopener\" title=\"\">difference<\/a> is the final result after subtracting the subtrahend from the minuend.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"523\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract2.png\" alt=\"minuend, subtrahend and difference example\" class=\"wp-image-20744\" title=\"minuend, subtrahend and difference example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract2-300x253.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The subtraction formula is written as<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Minuend <\/strong>$\u2212$<strong> Subtrahend <\/strong>$=$<strong> Difference<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example,&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$7 \u2212 3 = 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here,&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$7 =$ Minuend<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$3 =$ Subtrahend<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$4 =$ Difference<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-what-is-minus-in-math\">What Is Minus in Math?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Minus is a sign or a symbol that is represented by a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/horizontal\" target=\"_blank\" rel=\"noopener\" title=\"\">horizontal line<\/a>.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"339\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract3.png\" alt=\"Minus sign\" class=\"wp-image-20745\" title=\"Minus sign\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract3.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract3-300x164.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">We use minus in mathematics for multiple representations.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-uses-of-minus-sign\">Uses of Minus Sign<\/h2>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"7-subtraction-operation\">Subtraction Operation<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">Minus represents the arithmetic operation of subtraction between two numbers. We use minus sign to denote subtract, decreased by, take away, etc.\u00a0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example,&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"406\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract4.png\" alt=\"Subtraction operation\" class=\"wp-image-20746\" title=\"Subtraction operation\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract4-300x196.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Minus sign also means how much is one value more than the other value.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, Darby has 8 gingerbread with her and Olive has 3 gingerbreads.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Darby has more gingerbreads by $(8 \u2212 3) = 5$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"452\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract5.png\" alt=\"Minus symbol used in example\" class=\"wp-image-20748\" title=\"Minus symbol used in example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract5-300x219.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"8-to-represent-negative-integers\">To Represent Negative Integers<\/h3>\n\n\n\n<p class=\" eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\" target=\"_blank\" rel=\"noopener\" title=\"\">Integers<\/a> are the numbers that are not in decimal or fractional form and include positive and negative numbers along with 0. We use the minus sign to represent the negative integers, i.e., the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" target=\"_blank\" rel=\"noopener\" title=\"\">whole numbers<\/a> which are less than zero (no fractions).<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For representing a negative integer, we add a negative or minus sign in front of a whole number. For example, negative integer 5 is represented as: $(\u2212 5)$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"9-use-in-measurement\">Use in Measurement<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">We also use the minus sign in measurement specially in temperature. &nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, a temperature of&nbsp; $\u2212 4^{\\circ} \\text{C}$ means 4 degrees below zero.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Another example: The temperature is $5^{\\circ} \\text{C}$ and then drops $\u2212 10^{\\circ} \\text{C}$. What is the temperature now?&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The temperature now $= 5 \u2212 10 = \u2212 5^{\\circ} \\text{C}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"466\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract6.png\" alt=\"Minus sign for temperature measurement\" class=\"wp-image-20747\" title=\"Minus sign for temperature measurement\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract6-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"10-to-represent-opposite-directions\">To Represent Opposite Directions<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">We also use the minus sign to represent a negative direction on a graph paper to show the coordinates.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"649\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract7.png\" alt=\"Negative direction on coordinate plane\" class=\"wp-image-20749\" title=\"Negative direction on coordinate plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract7-287x300.png 287w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The graph also runs in the negative direction.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">In the first quadrant, the coordinates are of the form $(x,y)$.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">In the second quadrant, the coordinates are of the form $(\u2212x,y)$.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">In the third quadrant, the coordinates are of the form $(\u2212x,\u2212y)$.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">In the fourth quadrant, the coordinates are of the form $(x,\u2212y)$.&nbsp;<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-mathematical-operations-on-integers-using-%E2%80%9Cminus%E2%80%9D-sign\">Mathematical Operations on Integers Using \u201cMinus\u201d Sign<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Multiplication of two negative numbers gives a positive number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Negative <\/strong>$\\times$<strong> Negative&nbsp; <\/strong>$=$<strong> Positive<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $(\u2212 5) \\times (\u2212 15) = + 75$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Multiplication of a negative number and a positive number gives a negative number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Negative <\/strong>$\\times$<strong> Positive&nbsp; <\/strong>$=$<strong> Negative<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $(\u2212 5) \\times (15) = \u2212 75$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Addition of a negative number with a negative number will always give a negative number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Negative <\/strong>$+$<strong> Negative <\/strong>$=$<strong> Negative<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $(\u2212 3) + (\u2212 4) = (\u2212 7)$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Subtracting a positive number from a negative number will always give a negative number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">If we subtract a positive number from a negative number, we start at the negative number and count backwards.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Negative <\/strong>$\u2212$<strong> Positive <\/strong>$=$<strong> Negative<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Using the number line, let\u2019s start at $\u2212 3$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: Say, we have the problem $(\u2212 2) \u2212 3$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract8.png\" alt=\"Number line subtraction\" class=\"wp-image-20750\" title=\"Number line subtraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract8.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract8-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Now count backwards 3 units. So, keep counting back three spaces from $\u2212 2$ on the number line, we get<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract9.png\" alt=\"Subtraction on number line\" class=\"wp-image-20751\" title=\"Subtraction on number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract9.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract9-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The answer is $(\u2212 2) \u2212 3 = \u2212 5$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Subtracting a negative number from a negative number<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">A negative sign followed by a negative sign, turns the two signs into a positive sign. So, instead of subtracting a negative, you are adding a positive. The answer could be either positive or negative, depending on the magnitude of the numbers.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Negative <\/strong>$\u2212$<strong> Negative <\/strong>$=$<strong> Negative <\/strong>$+$<strong> Positive<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Basically, $\u2212 (\u2212 5)$ becomes $+ 5$, and then you add the numbers.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, we have $(\u2212 2) \u2212 (\u2212 5)$. We can read it as \u201cnegative two minus negative 5\u201d. We\u2019re changing the two negative signs into a positive, so the equation now becomes $(\u2212 2) + 5$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">On the number line, it starts at $\u2212 2$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract10.png\" alt=\"Negative numbers on a number line\" class=\"wp-image-20752\" title=\"Negative numbers on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract10.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract10-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Then we move forward 5 units: $+ 5$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"329\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract11.png\" alt=\"Subtracting 2 negative numbers on a number line\" class=\"wp-image-20753\" title=\"Subtracting 2 negative numbers on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract11.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract11-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The answer is $\u2212 2 \u2212 (\u2212 5) = 3$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Subtracting a negative number from a positive number will always give a positive number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">When we subtract a negative number from a positive number, we turn the subtraction sign followed by a negative sign into a plus sign. So, instead of subtracting a negative, you\u2019re adding a positive. So the equation turns into a simple addition problem.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Positive \u2013 Negative = Positive + Positive<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, let\u2019s say we have the problem $2 \u2212 (\u2212 4)$. This reads \u201ctwo minus negative four.\u201d The $\u2212 (\u2212 4)$ turns into $+ 4$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">On the number line we start at 2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract12.png\" alt=\"Subtracting on a number line\" class=\"wp-image-20754\" title=\"Subtracting on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract12.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract12-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Then we move forward three units: $2 + 4$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract13.png\" alt=\"Subtracting 2 numbers on a number line\" class=\"wp-image-20755\" title=\"Subtracting 2 numbers on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract13.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract13-300x160.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The answer is $2 \u2212 (\u2212 4) = 6$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-methods-of-subtraction\">Methods of Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">There are various methods for subtraction. In this article, we shall be discussing three of them.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"13-visual-representation-\"><strong>Visual representation<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">One of the methods is to use a diagram showing what you start with, what you are taking away, and what you are left with.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, we have 5 balls, now a friend asks for 2 balls, we can easily calculate that we are left with 2 balls using the concept of subtraction by depicting it through a diagram as given below:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract14.png\" alt=\"Diagram for subtracting visually\" class=\"wp-image-20756\" title=\"Diagram for subtracting visually\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract14.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract14-300x100.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Another method to perform subtraction is by using a number line.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"14-subtraction-on-number-lines-\"><strong>Subtraction on Number Lines<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">If we want to calculate 5 minus 2, we start from 5. Since we need to subtract 2,&nbsp; we take 2 steps back. Finally we observe that we are standing at 3.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, this is how $5 \u2212 2$ is calculated on the number line.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract15.png\" alt=\"Subtraction using number line\" class=\"wp-image-20757\" title=\"Subtraction using number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract15.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract15-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">This is a number line representation of the expression.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"15-column-method-\"><strong>Column method<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">The generally used method is the column method of subtraction, where we separate the numbers into ones, tens, hundreds and so on and write the minuend above the subtrahend, where all the ones are in one column, all the tens are in another column and so on. In this method, we always start the subtraction with the ones and proceed from right to left.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"421\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract16.png\" alt=\"Subtraction using columns\" class=\"wp-image-20758\" title=\"Subtraction using columns\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract16.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract16-300x204.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"16-regrouping-in-math\">Regrouping in Math<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/regroup\" target=\"_blank\" rel=\"noopener\" title=\"\">Regrouping in math<\/a> can be defined as the process of making\/breaking groups when carrying out operations like addition and subtraction. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place of the subtrahend.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">This process is called regrouping as we are regrouping numbers or rearranging them into their place value to carry out this process. When we use regrouping in subtraction, it is also sometimes called borrowing.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"17-subtraction-with-regrouping\">Subtraction with Regrouping<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In subtraction, we sometimes use the concept of regrouping between numbers. When the numbers are subtracted using the column method and the bottom digit is <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/greater-than\" target=\"_blank\" rel=\"noopener\" title=\"\">greater than<\/a> the upper digit, we regroup the numbers to be able to subtract.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Let us understand subtraction using this regrouping example, which includes finding the answer to the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\" target=\"_blank\" rel=\"noopener\" title=\"\">expression<\/a> $31 \u2212 19$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract17.png\" alt=\"Regrouping to subtract\" class=\"wp-image-20759\" title=\"Regrouping to subtract\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract17.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract17-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Here, we first subtract the unit place digit of the number in the lower slot with the upper slot. If the number in the lower slot is larger than the number in the upper slot, regrouping takes place, also called borrowing. In this case, we subtract one from the tens place digit from the upper slot number and write the remaining number above it, that is, we take 1 from 3 making it 2 which we wrote above 3, while this 1 that we subtracted is \u201cborrowed\u201d to the unit place, making it a 10 and adding it to the unit place existing number, giving us a two digit number. In simpler words 10 is borrowed from the tens place digit and added to the unit place digit. In the above example, 10 is added to the unit place digit i.e. 1 and we write 11 above the unit place digit.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract18.png\" alt=\"Regrouping to subtract numbers\" class=\"wp-image-20760\" title=\"Regrouping to subtract numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract18.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract18-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Now, we move on to the real subtraction of the two numbers. The number of the unit place of the upper slot can now be subtracted from the unit place number of the lower slot, i.e. $11 \u2212 9$ giving us 2. While we normally take the remaining number from the upper slot i.e. 2 and subtract the lower slot number from it, i.e., $2 \u2212 1$, giving us 1, which leaves us with 12 as the final answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract19.png\" alt=\"Regrouping for subtraction\" class=\"wp-image-20761\" title=\"Regrouping for subtraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract19.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract19-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Here\u2019s how we regroup hundred and tens to subtract 182 from 427:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"912\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract20.png\" alt=\"regrouping hundreds to subtract\" class=\"wp-image-20762\" title=\"regrouping hundreds to subtract\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract20.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/subtract20-204x300.png 204w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"18-properties-of-subtraction\">Properties of Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few important properties of subtraction in our everyday life.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Commutative property of subtraction:<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/commutative-property\" target=\"_blank\" rel=\"noopener\" title=\"\">Commutative property<\/a> states that swapping of numbers does not alter the result. But in subtraction, we cannot get the same output when we put minuend in place of subtrahend and vice versa. Hence, commutative property is not possible in case of subtraction.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $8 \u2212 5$ is not equal to $5 \u2212 8$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Identity property of subtraction:<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">Identity property states that when we subtract \u201c0\u201d from a number, the resultant is the number itself.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $5 \u2212 0 = 5$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Inverse Property of Subtraction (Subtracting a number by itself):<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">When we subtract a number from itself, the resultant is always \u201c0.\u201d<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\text{A} \u2212 \\text{A} = 0$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $9 \u2212 9 = 0$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtraction-property-of-equality\" target=\"_blank\" rel=\"noopener\" title=\"\">Subtraction Property of Equality<\/a><\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">According to the property, if we subtract any number on both sides of an equation, the equality of the equation still holds.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For the given <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra\" target=\"_blank\" rel=\"noopener\" title=\"\">algebra<\/a> equation;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow \\times \u2212 3 = 5$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If we subtract the same number on both sides, the equation will still hold true. Here we will subtract 8 from both sides.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow \\times \u2212 3 \u2212 8 = 5 \u2212 8$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\Rightarrow \\times \u2212 11 = \u2212 3$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Distributive Property of Subtraction<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">According to the property, the multiplication of subtraction of numbers is equal to subtraction of the multiplication of individual numbers.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\text{A} \\times (\\text{B} \u2212 \\text{C}) = \\text{A} \\times \\text{B} \u2212 \\text{A} \\times \\text{C}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: $3 \\times (5 \u2212 2) = 3 \\times 3 = 9$ and $3 \\times 5 \u2212 3 \\times 2 = 15 \u2212 6 = 9$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"19-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In this article, we have learned about subtraction, its definition with example, the symbols used for it, the common methods used for subtraction. We also learned about the minus sign. The minus sign is used for different purposes. Let\u2019s practice our understanding with a few solved examples and practice problems and solved examples.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"20-solved-examples-on-subtraction\">Solved Examples On Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. In a soccer match, Team A scored 5 goals and Team B scored 9 goals. Which team scored more goals and by how much?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Goals scored by Team $\\text{A}&nbsp; = 5$;&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Goals scored by Team $\\text{B} = 9$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can clearly see that Team B scored more goals. To calculate the numbers of goals by which Team B exceeded, we will subtract 5 from 9.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$9 \u2212 5 = 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, Team B scored 4 more goals than Team A.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. Jeff has 120 pens. Her friend Tim has 50 pens less than Jeff. How many pens does Tim have?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">As we know, the term \u201cless than\u201d refers to the operation subtraction.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Given,<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Jeff $= 120$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Tim $= 120 \u2212 50 = 70$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, Tim has 70 pens.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>3. During an annual Easter egg hunt, the participants found 52 eggs in the clubhouse, out of which 14 Easter eggs were broken. Can you find out the exact number of unbroken eggs?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The number of easter eggs found in the Clubhouse $= 52$;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of easter eggs that were broken $= 14$;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The total number of unbroken eggs $=$ ?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, we will subtract the number of broken eggs from the total number of eggs.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"276\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-1-1.png\" alt=\"Subtracting 14 from 52\" class=\"wp-image-20763\" title=\"Subtracting 14 from 52\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the number of unbroken eggs is 38.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>4. Jerry collected 194 fishes and Evan collected 132 fishes. Who collected more fish and by how much?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Solution:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of fishes collected by Jerry $= 194$;&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of fishes collected by Evan $= 132$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">This shows that Jerry collected more fish. Let us subtract $194 \u2212 132$ to get the difference.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"357\" height=\"276\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-2-1.png\" alt=\"Subtraction word problem\" class=\"wp-image-20764\" title=\"Subtraction word problem\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-2-1.png 357w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-2-1-300x232.png 300w\" sizes=\"auto, (max-width: 357px) 100vw, 357px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, Jerry collected 62 fish more than Evan.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>5. By how much is 5251 less than 6556?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">From the given, it is clear that 6556 is greater than 5251 .<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now subtract 5251 from 6556.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"490\" height=\"276\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-3-1.png\" alt=\"Subtracting large numbers example\" class=\"wp-image-20765\" title=\"Subtracting large numbers example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-3-1.png 490w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/solved-example-3-1-300x169.png 300w\" sizes=\"auto, (max-width: 490px) 100vw, 490px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">$6556 \u2212 5251 = 1305$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, 5251 is less than 6556 by 1305.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>6. What is the value of 794 minus 658?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>$794 \u2212 658 = 136$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>7. When Steve woke up, his temperature was <\/strong>$101^{\\circ} \\text{F}$<strong>. Two hours later, it was 3\u00ba lower. What was his temperature after two hours?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> Temperature at the time of Steve waking up $= 101^{\\circ} \\text{F}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Temperature after 2 hours $= 101^{\\circ} \\text{F} \u2212 3^{\\circ} \\text{F} = 98^{\\circ} \\text{F}$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>8. What will be the coordinates of A if <\/strong>$x = \u22125$<strong> and&nbsp; <\/strong>$y = \u2212 7$<strong>. In which quadrant will A lie?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> Since it is given that $x = \u2212 5$ and&nbsp; $y = \u2212 7$, the coordinates of A will be $(\u2212 5, \u2212 7)$. Also, as both the coordinates are negative, i.e., $( \u2212 x, \u2212 y)$, A will lie in the third quadrant.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>9. An elevator is on the eighteenth floor. It goes down 13 floors. What floor is the elevator on now?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>The floor on which the elevator is now $= 18 \u2212 13 = 5$th floor<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>10. Is <\/strong>$(4 \u2212 6)&nbsp; =&nbsp; (6 \u2212 4)$<strong>?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> Let us find the solution to both of them.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">On the left side, $4 \u2212 6 = \u2212 2$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Whereas, on the right side, $6 \u2212 4 = 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can clearly see that $2 \\neq \u2212 2$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, $(4 \u2212 6)$&nbsp; is not equal to $(6 \u2212 4)$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"21-practice-problems-on-subtraction\">Practice Problems On Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Subtract - 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\">On subtracting 69 from 108, we get<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">35<\/div><div class=\"spq_answer_block\" data-value=\"1\">36<\/div><div class=\"spq_answer_block\" data-value=\"2\">37<\/div><div class=\"spq_answer_block\" data-value=\"3\">39<\/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: 39<br\/>Let\u2019s use the steps for subtraction with regrouping.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp1-1.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the difference between 155 and 56?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">100<\/div><div class=\"spq_answer_block\" data-value=\"1\">102<\/div><div class=\"spq_answer_block\" data-value=\"2\">95<\/div><div class=\"spq_answer_block\" data-value=\"3\">99<\/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: 99<br\/>Let\u2019s use the steps for subtraction with regrouping.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp2-1.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Derek has 25 apples and he gave 18 apples to his brother. How many apples is Derek left with?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">7<\/div><div class=\"spq_answer_block\" data-value=\"3\">8<\/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: 7<br\/>Here, we will subtract 18 from 25 to find the answer.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp3-1.png\"><\/div><\/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\">Look at the given number line. What equation would correctly match the solution 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\/01\/pp4-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$5 + 2 = 7$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7 \u2212 2 = 5$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$7 \u2212 5 = 2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$7 + 2 = 9$<\/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: $7 \u2212 5 = 2$<br\/>Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $7 \u2212 5 = 2$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">On subtracting 1267 from 1513, we get<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">250<\/div><div class=\"spq_answer_block\" data-value=\"1\">235<\/div><div class=\"spq_answer_block\" data-value=\"2\">246<\/div><div class=\"spq_answer_block\" data-value=\"3\">264<\/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: 246<br\/>C<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp5-1.png\"><\/div><\/div><\/div><\/div><\/div>  <script 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  \"text\": \"On subtracting 69 from 108, we get\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"35\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"37\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"39\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let\u2019s use the steps for subtraction with regrouping. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp1-1.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let\u2019s use the steps for subtraction with regrouping. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp1-1.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the difference between 155 and 56?\",\n                    \"text\": \"What is the difference between 155 and 56?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"102\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"95\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let\u2019s use the steps for subtraction with regrouping.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"99\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let\u2019s use the steps for subtraction with regrouping. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp2-1.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let\u2019s use the steps for subtraction with regrouping. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp2-1.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Derek has 25 apples and he gave 18 apples to his brother. How many apples is Derek left with?\",\n                    \"text\": \"Derek has 25 apples and he gave 18 apples to his brother. How many apples is Derek left with?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Here, we will subtract 18 from 25 to find the answer.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, we will subtract 18 from 25 to find the answer.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, we will subtract 18 from 25 to find the answer.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, we will subtract 18 from 25 to find the answer.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Here, we will subtract 18 from 25 to find the answer. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp3-1.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Here, we will subtract 18 from 25 to find the answer. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp3-1.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Look at the given number line. What equation would correctly match the solution on the number line?\",\n                    \"text\": \"Look at the given number line. What equation would correctly match the solution on the number line? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp4-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5 + 2 = 7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7 \u2212 2 = 5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7 + 2 = 9$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$7 \u2212 5 = 2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Starting from 7, we took 5 steps back and landed on 2. So, the image shows the equation  $$7 \u2212 5 = 2$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On subtracting 1267 from 1513, we get\",\n                    \"text\": \"On subtracting 1267 from 1513, we get\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"C\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"250\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"C\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"235\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"C\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"264\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"C\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"246\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp5-1.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/pp5-1.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"22-frequently-asked-questions-on-subtraction\">Frequently Asked Questions On Subtraction<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-355d4d10-7394-43f3-a383-33cef0410d51\" 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-0-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Why is the answer to a subtraction problem called the difference?<\/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-0-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">Because if you subtract a smaller number from a bigger number the result is the difference between the two numbers.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Example: Subtract 2 from 6<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$6 \u2212 2 = 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">But, the number 6 is also 4 bigger than 2. It is the difference between the two 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-1-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Which other operation has the output smaller than the input?<\/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-1-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">Another operation where the output is smaller than the input is division.<\/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-2-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Is subtraction associative?<\/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-2-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">No, subtraction is not associative. Let us look at it using an example.&nbsp;$10 \u2212 (5 \u2212 1) \\neq (10 \u2212 5) \u2212 1$<\/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-3-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Can we subtract a larger number from a smaller number?<\/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-3-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">Yes, we can subtract a larger number from a smaller number. The resultant will be a negative number.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Mathematically speaking, why does subtraction by \u201ccounting up\u201d 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-4-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">When we subtract 2 numbers, we can do it in two ways. Let\u2019s take an example of subtracting 5 from 8. You can either take 8 and subtract 5 from it, or you can begin with 5 and count up to 8. When you begin with 5 and count up to 8, you do it 3 times: 6, 7 and 8. So, 3 will be the difference between 5 and 8.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>What is the difference between minus sign and plus sign?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">Minus sign is denoted by a horizontal symbol, i.e., $\u2212$, and it means to subtract or take away. Whereas, the plus sign is denoted by intersection of horizontal and vertical lines, i.e., $+$ which means to add or find the sum.<\/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-6-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Does commutative property hold true for subtraction?<\/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-6-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">The commutative property does not hold for subtraction. It means for any two whole numbers, $\\text{A} \u2212 \\text{B} \\neq \\text{B} \u2212 \\text{A}$.For example: $3 \u2212 5 = \u2212 2$ and $5 \u2212 3 = 2$ and $\u2212 2 \\neq 2$.<\/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-7-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Does Associative property hold true for subtraction?<\/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-7-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/associative-property\" target=\"_blank\" rel=\"noopener\" title=\"\">associative property<\/a> does not hold for subtraction. It means for any three whole numbers A, B, and C.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\text{A} \u2013 (\\text{B} \u2013 \\text{C}) \\neq (\\text{A} \u2013 \\text{B}) \u2013 \\text{C}$ For example: $(2 \u2013 3) \u2013 5 = \u2013 1 \u2013 5 = \u2013 6$ and $2 \u2013 (3 \u2013 5) = 2 + 2$ and $\u2013 6 \\neq 4$.<\/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-8-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>What is a minuend and a subtrahend?<\/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-8-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">In a subtraction equation, minuend is the highest number from which a component would be subtracted. A subtrahend is the term that denotes the number being subtracted from another.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"615\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/faq-9.png\" alt=\"Minuend and subtrahend\" class=\"wp-image-20740\" title=\"Minuend and subtrahend\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/faq-9.png 615w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/faq-9-300x157.png 300w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/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-9-355d4d10-7394-43f3-a383-33cef0410d51\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-355d4d10-7394-43f3-a383-33cef0410d51\"><strong>Who discovered the minus sign?<\/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-9-355d4d10-7394-43f3-a383-33cef0410d51\">\n\n<p class=\" eplus-wrapper\">Robert Recorde introduced the modern use of minus to the UK in 1557. The first appearance of the minus sign was given by Johannes Widmann in 1489 and was found in his book called &#8220;Mercantile Arithmetic.\u201d<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Subtraction: Introduction Suppose we purchase ice cream for a certain amount of money, say $\\$140$, and we give $\\$200$ to the cashier. Now, the cashier returns the excess amount by performing subtraction such as $200 \u2212 140 = 60$. Then, the cashier will return $\\$60$. What is exactly happening here? The answer to this question &#8230; <a title=\"Subtraction &#8211; Definition, Symbol, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" aria-label=\"More on Subtraction &#8211; Definition, Symbol, Examples, Practice Problems\">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-2471","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\/2471","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=2471"}],"version-history":[{"count":28,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2471\/revisions"}],"predecessor-version":[{"id":28655,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2471\/revisions\/28655"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2471"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2471"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}