{"id":36413,"date":"2023-11-26T11:08:00","date_gmt":"2023-11-26T11:08:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=36413"},"modified":"2023-12-11T11:34:54","modified_gmt":"2023-12-11T11:34:54","slug":"subtracting-integers-definition-rules-steps-examples-facts","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers","title":{"rendered":"Subtracting Integers &#8211; Definition, Rules, Steps, Examples, Facts"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-a4875422-c150-4e54-8d51-767882dbd5f9\" 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\/subtracting-integers#0-what-is-meant-by-subtracting-integers-in-math>What Is Meant by Subtracting Integers in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers#4-rules-for-subtracting-integers>Rules for Subtracting Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers#7-properties-of-subtraction-of-integers>Properties of Subtraction of Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers#11-solved-examples-on-subtracting-integers>Solved Examples on Subtracting Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers#12-practice-problems-on-subtracting-integers>Practice Problems on Subtracting Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers#13-frequently-asked-questions-on-subtracting-integers>Frequently Asked Questions on Subtracting Integers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-meant-by-subtracting-integers-in-math\">What Is Meant by Subtracting Integers in Math?<\/h2>\n\n\n\n<p><strong>Subtracting integers is the method of finding the difference between two integers. These two integers may have the same sign or different signs. The set of <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\"><strong>integers<\/strong><\/a><strong> is represented by<\/strong><\/p>\n\n\n\n<p><strong>Z={&#8230;,-3,-2,-1,0,1,2,3,&#8230;}<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p>If we subtract the integer b from the integer a, we write it as a &#8211; b.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> Subtract 7 from 9.<\/p>\n\n\n\n<p>9 &#8211; 7 = 2<\/p>\n\n\n\n<p>We can also write every subtraction problem as an addition problem. Replace the &#8211; sign by + sign, and replace the second integer by its <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse\">additive inverse<\/a>. This can be written symbolically as&nbsp;<\/p>\n\n\n\n<p>a &#8211; b = a + (-b)<\/p>\n\n\n\n<p>Finally, you can find the answer using the rules for adding integers.<\/p>\n\n\n\n<p>Additive inverse of an integer is written by simply removing its sign, keeping only the numerical value.<\/p>\n\n\n\n<p><strong>Examples:&nbsp;<\/strong><\/p>\n\n\n\n<p>Additive inverse of 7 is -7.<\/p>\n\n\n\n<p>Additive inverse of -9 is 9.<\/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\/find-the-difference-by-subtracting-multiples-of-10\" 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_2d_1d_horizontal_pt.png\" alt=\"Find the Difference by Subtracting Multiples of 10 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\">Find the Difference by Subtracting Multiples of 10 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\/match-by-subtracting-from-a-teen-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_sub_from_teen_no_1_pt.png\" alt=\"Match by Subtracting from a Teen Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Match by Subtracting from a Teen Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/measure-lengths-in-half-inches-by-subtracting\" 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\/measurement_length_half_inches_sub_pt.png\" alt=\"Measure Lengths in Half-inches by Subtracting 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\">Measure Lengths in Half-inches by Subtracting 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\/measure-lengths-in-inches-by-subtracting\" 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\/measurement_length_inches_sub_pt.png\" alt=\"Measure Lengths in Inches by Subtracting 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\">Measure Lengths in Inches by Subtracting 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\/measure-lengths-on-a-ruler-by-subtracting\" 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\/measurement_length_ruler_sub_pt.png\" alt=\"Measure Lengths on a Ruler by Subtracting 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\">Measure Lengths on a Ruler by Subtracting 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\/solve-by-subtracting-multiples-of-100\" 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_hundreds_match_pt.png\" alt=\"Solve by Subtracting Multiples of 100 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\">Solve by Subtracting Multiples of 100 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 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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_3d_1d_horizontal_pt.png\" alt=\"Subtracting 1-Digit Number from 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Subtracting 1-Digit Number from 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/subtracting-10-from-3-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_sub_10_match_pt.png\" alt=\"Subtracting 10 from 3-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Subtracting 10 from 3-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/subtracting-10-from-teen-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_sub_10_g2_pt.png\" alt=\"Subtracting 10 from Teen Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Subtracting 10 from Teen Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-subtracting-integers-definition\">Subtracting Integers: Definition<\/h2>\n\n\n\n<p>Subtracting integers is the method of finding the difference between two integers having the same or different signs.&nbsp;<\/p>\n\n\n\n<p>Subtraction of integers can be written as the addition of the first <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number\">number<\/a> and the additive inverse of the second number.&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\/real-life-problems-on-subtracting-fractions\" 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\/real-life-problems-on-subtracting-fractions.jpeg\" alt=\"Real Life Problems on Subtracting Fractions 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\/real-life-problems-on-subtracting-mixed-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\/real-life-problems-on-subtracting-mixed-numbers.jpeg\" alt=\"Real Life Problems on Subtracting Mixed 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\/story-problems-on-subtracting-fractions\" 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\/story-problems-on-subtracting-fractions.jpeg\" alt=\"Story Problems on Subtracting Fractions 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\/subtracting-1-digit-numbers-from-3-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\/subtracting-1-digit-numbers-from-3-digit-numbers.jpeg\" alt=\"Subtracting 1-Digit Numbers from 3-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\/subtracting-10-from-3-digit-numbers-horizontal-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\" 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<\/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\/subtracting-10-from-3-digit-numbers-vertical-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\/subtracting-10-from-3-digit-numbers-vertical-subtraction.jpeg\" alt=\"Subtracting 10 from 3-Digit Numbers: Vertical 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\/subtracting-10-from-3-digit-numbers-vertical-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\/subtracting-10-from-3-digit-numbers-vertical-timed-practice.jpeg\" alt=\"Subtracting 10 from 3-Digit Numbers: Vertical 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\/subtracting-2-digit-numbers-from-3-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/subtracting-fractions-using-visual-model.jpeg\" alt=\"Subtracting Fractions Using Visual Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function 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scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-subtrahend-and-minuend\">Subtrahend and Minuend<\/h2>\n\n\n\n<p>When we <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\">subtract<\/a> one number from another, the number being subtracted is called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtrahend\">subtrahend<\/a>, the first number is called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/minuend\">minuend<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"364\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-minuend-subtrahend-difference.png\" alt=\"Subtracting integers - minuend, subtrahend, difference\" class=\"wp-image-36417\" title=\"Subtracting integers - minuend, subtrahend, difference\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-minuend-subtrahend-difference.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-minuend-subtrahend-difference-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-rules-for-adding-integers\">Rules for Adding Integers<\/h2>\n\n\n\n<p>Any addition fact can be written as a subtraction fact. Also, any subtraction fact can be written as an addition fact. So, the rules for <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers\">adding integers<\/a> and the rules for subtracting integers correspond to each other.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"4\"><strong>Rules for Adding Integers<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Case<\/strong><\/td><td><strong>Addition Expression<\/strong><\/td><td><strong>Result<\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Positive integer + Positive integer<\/td><td>(+a) + (+b)<\/td><td>+(a + b)<\/td><td>5 + 7 = 12<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Negative integer + Negative integer<\/td><td>(-a) + (-b)<\/td><td>-(a + b)<\/td><td>(-7)+(-5)=-(7+5)=-12<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Negative integer + Positive integer<\/td><td>(-a) + (+b)<\/td><td>+(b &#8211; a)&nbsp;or&nbsp;-(a &#8211; b)<\/td><td>(-7)+5=-(7-5)=-2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Positive integer + Negative integer<\/td><td>(+a) + (-b)<\/td><td>+(a &#8211; b)&nbsp;or&nbsp;-(b &#8211; a)<\/td><td>7+(-5)=7-5=2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-rules-for-subtracting-integers\">Rules for Subtracting Integers<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Description<\/strong><\/th><th><strong>Rule<\/strong><\/th><\/tr><\/thead><tbody><tr><td><strong>Subtraction involving 0:<\/strong><\/td><td><br>If we subtract 0 from any integer, the answer will be the integer itself.a &#8211; 0 = aIf we subtract any integer from 0, we will find the additive inverse or the opposite of the integer.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0 &#8211; a = -a<\/td><\/tr><tr><td><strong>Subtracting a smaller integer from a larger integer:<\/strong><\/td><td>If you subtract a smaller integer from a larger integer, the sign of the result will be positive.<\/td><\/tr><tr><td><strong>Subtracting a larger integer from a smaller integer:<\/strong><\/td><td>If you subtract a larger integer from a smaller integer, the sign of the answer will be negative.<\/td><\/tr><tr><td><strong>Expressing subtraction using addition<\/strong>:<\/td><td>Subtraction of two integers can be written as sum of the first integer and the additive inverse of the second integer.a &#8211; b = a + (-b)Use the rules for adding integers to find the answer.<\/td><\/tr><tr><td><strong>Subtraction of two positive integers:<\/strong><\/td><td>When subtracting two positive integers, first subtract the smaller number from the larger number. The sign of the final answer will bei) positive when subtracting a smaller number from a larger number<strong>18-5<\/strong><strong> <\/strong><strong>=13<\/strong>ii) negative when subtracting a larger number from a smaller number<strong>5-18=-13<\/strong><\/td><\/tr><tr><td><strong>Subtraction of two negative integers:<\/strong><\/td><td>When subtracting two negative integers, change the subtraction sign to addition and change the sign of the second number. Next, perform the addition using the rules for adding integers.<strong>Examples:<\/strong>&nbsp;(-9)-(-3)=(-9)+3=-(9-3)=-6(-1)-(-4)=(-1)+4=4-1=3<\/td><\/tr><tr><td><strong>Subtracting integers with different signs:<\/strong><\/td><td>Change the middle &#8211; sign to + sign and replace the second number by its additive inverse. Next, perform the addition using the rules for adding integers.&nbsp;Here, we have two cases.<strong>&nbsp;<\/strong><strong>i) Negative Integer <\/strong>&#8211;<strong> Positive Integer = The result is always negative.<\/strong>Here, the result will always have a negative sign since we are subtracting a larger number from a smaller number.<strong>Example:<\/strong> (-5) -( 2) = (-5) + (-2) = -7<br><strong>ii) Positive Integer <\/strong>&#8211; <strong>Negative Integer = The result is always positive.<\/strong>Here, the result will always have a positive sign since we are subtracting a larger number from a smaller number.<strong>Example<\/strong>: <strong>9-(-3)=9+3=12<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-table-of-rules-for-subtracting-integers\">Table of Rules for Subtracting Integers<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Signs of integers<\/strong><\/th><th><strong>What to do?<\/strong><\/th><th><strong>Sign of the answer<\/strong><\/th><th><strong>Examples<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">\u00a0(+) &#8211; (+)<\/td><td>Subtract<\/td><td>Sign of the larger integer<\/td><td>9-4=54-7=-3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><br>(-) &#8211; (-)<\/td><td>Subtract<\/td><td>Sign of the larger integer<\/td><td>(-9)-(-5)=-9+5=-4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><br>(+) &#8211; (-)<\/td><td>Add<\/td><td>+<\/td><td>(7) &#8211; (-2)=7+2=9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">(-) &#8211; (+)<\/td><td>Add<\/td><td>&#8211;<\/td><td>(-1) &#8211; (8)=(-1)+(-8)=-9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-how-to-subtract-integers\">How to Subtract Integers<\/h2>\n\n\n\n<p>The most simple rule to remember when subtracting integers is to convert the problem as the addition problem and use the rules for adding integers.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Subtracting Integers with the Same Sign: <\/strong>Let\u2019s understand how to subtract integers with the same signs.<\/li>\n<\/ul>\n\n\n\n<p><strong>i) Positive integer <\/strong><strong>&#8211;<\/strong><strong> Positive integer<\/strong><\/p>\n\n\n\n<p>Here, the order of the numbers is important to decide the sign of the answer.&nbsp;<\/p>\n\n\n\n<p>The answer of the result will be&nbsp; positive when subtracting a smaller number from a larger number.<\/p>\n\n\n\n<p>8-1=7<\/p>\n\n\n\n<p>30 &#8211; 13 = 17<\/p>\n\n\n\n<p>The answer of the result will be negative when subtracting a larger number from a smaller&nbsp; number.<\/p>\n\n\n\n<p>4 &#8211; 7 = -3<\/p>\n\n\n\n<p>1-5=-4<\/p>\n\n\n\n<p><strong>ii) Negative integer <\/strong><strong>&#8211;<\/strong><strong> Negative integer<\/strong><\/p>\n\n\n\n<p>Change the problem to an addition problem and follow the rules for addition of integers.<\/p>\n\n\n\n<p>(-5)-(-1) = (-5)+1 =-4<\/p>\n\n\n\n<p>(-2) &#8211; (-5) = -2 + 5 = 3<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Subtracting Integers with Different Signs:<\/strong> Now, let\u2019s understand how to subtract integers with different signs with examples.<\/li>\n<\/ul>\n\n\n\n<p><strong>i)<\/strong> <strong>Positive Integer <\/strong><strong>&#8211;<\/strong><strong> Negative integer<\/strong><\/p>\n\n\n\n<p>It is clear that we are subtracting a smaller value from a larger value. So, the answer will always be positive in this case.&nbsp;<\/p>\n\n\n\n<p>5-(-1) = 5 + 1 = 6<\/p>\n\n\n\n<p>2 &#8211; (-5) = 2 + 5 = 3<\/p>\n\n\n\n<p><strong>ii) Negative Integer <\/strong><strong>&#8211;<\/strong><strong> Positive Integer<\/strong><\/p>\n\n\n\n<p>It is clear that we are subtracting a larger value from a smaller value. So, the answer will always be negative in this case.&nbsp;<\/p>\n\n\n\n<p>(-1)-5 = (-1) + (-5) = -6<\/p>\n\n\n\n<p>(-2) &#8211; (5) = (-2) + (-5) = -7<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-properties-of-subtraction-of-integers\">Properties of Subtraction of Integers<\/h2>\n\n\n\n<p>There are some properties related to the subtraction of integers. They are as follows:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Closure property:<\/strong> The subtraction of any two integers is an integer. For any two integers a and b, the difference a -b is also an integer.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Commutative property:<\/strong> Subtraction of integers is not commutative. For any two integers a and b, we have a &#8211; b b &#8211; a.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>2 &#8211; 4 4 &#8211; 2&nbsp; and -6 &#8211; (-3 ) -3 &#8211; (- 6)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Associative property: <\/strong>The subtraction of integers is not associative. That is, for any three integers a, b and c, we have, a -(b &#8211; c) (a &#8211; b) &#8211; c<\/li>\n<\/ul>\n\n\n\n<p>For example, 2 &#8211; ( 5 &#8211; 3) = 2 &#8211; 2 = 0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2 &#8211; 5) &#8211; 3 = &#8211; 3 &#8211; 3 = &#8211; 6 ,&nbsp;<\/p>\n\n\n\n<p>Here, 0 6<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identity property:<\/strong> We have&nbsp; a &#8211; 0 = a , for any integer a indicating that 0 is correct identity for subtraction.vIt\u2019s important to note that 0 &#8211; a a is not the left identity<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-subtracting-integers-on-a-number-line\">Subtracting Integers on a Number Line<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every subtraction fact can be written as an addition fact.<\/li>\n\n\n\n<li>Adding a positive integer is done by moving towards the right side (or the positive side) of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-line\">number line<\/a>.<\/li>\n\n\n\n<li>Adding a negative integer is done by moving towards the left side (or the negative side) of the number line.<\/li>\n\n\n\n<li>Any one of the given integers can be taken as the base point from where we start moving on the number line.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-and-subtracting-using-a-number-line.png\" alt=\"Adding and subtracting using a number line\" class=\"wp-image-36431\" title=\"Adding and subtracting using a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-and-subtracting-using-a-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/adding-and-subtracting-using-a-number-line-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example: <\/strong>Subtract 4 from 2.<\/p>\n\n\n\n<p>We have to find 2 &#8211; 4.&nbsp;<\/p>\n\n\n\n<p>Express 2 &#8211; 4 as the addition fact.<\/p>\n\n\n\n<p>&nbsp;2 &#8211; 4 = 2 + (-4).<\/p>\n\n\n\n<p>Locate integer with greater absolute value, 2.<\/p>\n\n\n\n<p>Start from 2, take 4 jumps to the left side as we are subtracting 4 to 2.<\/p>\n\n\n\n<p>Therefore, -2 is the required answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-on-a-number-line.png\" alt=\"Subtracting integers on a number line.\" class=\"wp-image-36419\" title=\"Subtracting integers on a number line.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-on-a-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-integers-on-a-number-line-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-subtracting-integers\">Facts about Subtracting Integers<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Integers are the negative numbers, zero, and positive numbers.<\/li>\n\n\n\n<li>Subtracting integers is the method of finding the difference between two integers with the same or different signs.<\/li>\n\n\n\n<li>To subtract two integers, add the opposite of the second integer to the first integer. This can be written symbolically as a&nbsp;<\/li>\n\n\n\n<li>&#8211; b = a + (- b)<\/li>\n\n\n\n<li>Adding a negative number is just like subtracting a positive number.<br>3 + (- 4) = 3 -(+4)<\/li>\n\n\n\n<li>Subtracting a negative number is just like adding a positive number.<\/li>\n\n\n\n<li>3 -(- 4) = 3 + 4<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learnt about subtraction of integers definition, rules, properties,steps and how to subtract integers on a number line. Let\u2019s solve some examples and practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-subtracting-integers\">Solved Examples on Subtracting Integers<\/h2>\n\n\n\n<p><strong>Example 1: Subtract: <\/strong><strong>&#8211;<\/strong><strong>46 from <\/strong><strong>&#8211;<\/strong><strong>80.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>We have to subtract two negative integers.<\/p>\n\n\n\n<p>Here, we have to find (-80) &#8211; (-46).&nbsp;<\/p>\n\n\n\n<p>(-80) &#8211; (-46)<\/p>\n\n\n\n<p>=-80 + 46<\/p>\n\n\n\n<p>= -(80-46)<\/p>\n\n\n\n<p>=-34<\/p>\n\n\n\n<p><strong>Example 2: Subtract: <\/strong><strong>&#8211;<\/strong><strong>8 from 7.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Here, we have to subtract two integers with different signs.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s write it in the form of an expression,&nbsp;<\/p>\n\n\n\n<p>7 &#8211; (- 8 )<\/p>\n\n\n\n<p>= 7 + 8<\/p>\n\n\n\n<p>= 15<\/p>\n\n\n\n<p>Thus, 7 &#8211; (- 8 ) = 15<\/p>\n\n\n\n<p><strong>Example 3: Find 1 <\/strong><strong>&#8211;<\/strong><strong> (<\/strong><strong>&#8211;<\/strong><strong> 5 ) using a number line.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>1 &#8211; (- 5 ) = 1 + 5<\/p>\n\n\n\n<p>Start from 1 and take 5 jumps to the right.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"60\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-5-from-1-on-a-number-line.png\" alt=\"Subtracting - 5 from 1 on a number line\" class=\"wp-image-36420\" title=\"Subtracting - 5 from 1 on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-5-from-1-on-a-number-line.png 366w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-5-from-1-on-a-number-line-300x49.png 300w\" sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/figure>\n\n\n\n<p>Thus, 1 &#8211; (- 5 ) = 6<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-subtracting-integers\">Practice Problems on Subtracting Integers<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Subtracting Integers - Definition, Rules, Steps, Examples, Facts<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Subtraction of integers can be written as the ________ of the opposite number.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">addition<\/div><div class=\"spq_answer_block\" data-value=\"1\">subtraction<\/div><div class=\"spq_answer_block\" data-value=\"2\">multiplication<\/div><div class=\"spq_answer_block\" data-value=\"3\">division<\/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: addition<br\/>Subtraction of integers can be written as the addition of the opposite number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">(-9)-(99)=<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">999<\/div><div class=\"spq_answer_block\" data-value=\"1\">108<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-108$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-90$<\/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: $-108$<br\/>$(-9)-(99)=(-9)+(-99) = -108$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">$1000 - (- 1)=$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-1001$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1001$<\/div><div class=\"spq_answer_block\" data-value=\"2\">999<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-999$<\/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: $1001$<br\/>$1000- (- 1) = 1000 + 1 = 1001$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">When subtracting a positive integer from a negative integer, the answer will have<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">+ sign<\/div><div class=\"spq_answer_block\" data-value=\"1\">- sign<\/div><div class=\"spq_answer_block\" data-value=\"2\">the sign of the larger number<\/div><div class=\"spq_answer_block\" data-value=\"3\">cannot be said<\/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: - sign<br\/>When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.<\/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\">Which subtraction fact does the given number line represent?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/number-line-subtraction.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$3 + 5 = 8$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$8 \\;-\\; 3 = 5$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$8 \\;-\\; 5 = 3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$8 + 3 = 11$<\/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: $8 \\;-\\; 5 = 3$<br\/>Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$8 \\;-\\; 5 = 3$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Subtracting Integers - Definition, Rules, Steps, Examples, Facts\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Subtracting Integers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    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\"$$1000 - (- 1)=$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-1001$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"999\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-999$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$1001$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$1000- (- 1) = 1000 + 1 = 1001$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"When subtracting a positive integer from a negative integer, the answer will have\",\n                    \"text\": \"When subtracting a positive integer from a negative integer, the answer will have\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"+ sign\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"the sign of the larger number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"cannot be said\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"- sign\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When subtracting a positive integer from a negative number, the answer will always have a negative sign since we subtract a larger number from a smaller number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which subtraction fact does the given number line represent?\",\n                    \"text\": \"Which subtraction fact does the given number line represent? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/number-line-subtraction.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3 + 5 = 8$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8 \\\\;-\\\\; 3 = 5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8 + 3 = 11$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$8 \\\\;-\\\\; 5 = 3$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Starting from 8, we took 5 steps back and landed on 3. So, the image shows the equation<br>\r\n$$8 \\\\;-\\\\; 5 = 3$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-on-subtracting-integers\">Frequently Asked Questions on Subtracting Integers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-cc62a092-7b23-48a1-ad6d-438776d360c4\" 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-cc62a092-7b23-48a1-ad6d-438776d360c4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc62a092-7b23-48a1-ad6d-438776d360c4\"><strong>What are integers?<\/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-cc62a092-7b23-48a1-ad6d-438776d360c4\">\n\n<p>Integers include positive integers, negative integers, and zero. It is a number with no decimal or fraction part.<\/p>\n\n\n\n<p>Set of integers = {&#8230;,\u22125,\u22124,\u22123,\u22122,\u22121, 0, 1, 2, 3, 4, 5,&#8230;}<\/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-cc62a092-7b23-48a1-ad6d-438776d360c4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc62a092-7b23-48a1-ad6d-438776d360c4\"><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-1-cc62a092-7b23-48a1-ad6d-438776d360c4\">\n\n<p>In a subtraction equation, minuend is the number from which another number would be subtracted. A subtrahend is the term that denotes the number being subtracted from another.<\/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-cc62a092-7b23-48a1-ad6d-438776d360c4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc62a092-7b23-48a1-ad6d-438776d360c4\"><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-2-cc62a092-7b23-48a1-ad6d-438776d360c4\">\n\n<p>The commutative property does not hold for subtraction. It means for any\u00a0 two integers a and b, a &#8211; b \u2260 b &#8211; a. For example, 2 &#8211; 4 \u2260 4 &#8211; 2<\/p>\n\n\n\n<p>2 &#8211; 4 = &#8211; 2 and 4 &#8211; 2 = 2 and\u00a0 -2 \u2260 2\u00a0<\/p>\n\n\n\n<p>Thus, commutative property does not hold true for subtraction.<\/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-cc62a092-7b23-48a1-ad6d-438776d360c4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc62a092-7b23-48a1-ad6d-438776d360c4\"><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-3-cc62a092-7b23-48a1-ad6d-438776d360c4\">\n\n<p>The associative property does not hold for subtraction. It means for any three integers a, b, and c, a -(b &#8211; c) \u2260 (a &#8211; b) &#8211; c<\/p>\n\n\n\n<p>For example, 2 &#8211; ( 5 &#8211; 3) = 2 &#8211; 2 = 0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2 &#8211; 5) &#8211; 3 = &#8211; 3 &#8211; 3 = &#8211; 6 ,&nbsp;<\/p>\n\n\n\n<p>Here, 0 6<\/p>\n\n\n\n<p>Thus, associative property does not hold true for subtraction.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Meant by Subtracting Integers in Math? Subtracting integers is the method of finding the difference between two integers. These two integers may have the same sign or different signs. The set of integers is represented by Z={&#8230;,-3,-2,-1,0,1,2,3,&#8230;}. If we subtract the integer b from the integer a, we write it as a &#8211; &#8230; <a title=\"Subtracting Integers &#8211; Definition, Rules, Steps, Examples, Facts\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtracting-integers\" aria-label=\"More on Subtracting Integers &#8211; Definition, Rules, Steps, Examples, Facts\">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-36413","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\/36413","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=36413"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36413\/revisions"}],"predecessor-version":[{"id":36433,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36413\/revisions\/36433"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=36413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=36413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=36413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}