{"id":26583,"date":"2023-03-20T14:40:47","date_gmt":"2023-03-20T14:40:47","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26583"},"modified":"2024-02-05T15:29:19","modified_gmt":"2024-02-05T15:29:19","slug":"adding-integers-definition-rules-for-addition-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers","title":{"rendered":"Adding Integers: Definition, Rules for Addition, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-e168a7d9-0c34-42cc-81dc-170b1df5732c\" 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\/adding-integers#0-what-is-adding-integers>What Is Adding Integers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers#2-how-to-add-integers>How to Add integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers#3-what-are-the-rules-for-adding-integers>What Are the Rules for Adding Integers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers#16-solved-examples-on-adding-integers>Solved Examples on Adding Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers#17-practice-problems-on-adding-integers>Practice Problems on Adding Integers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers#18-frequently-asked-questions-on-adding-integers>Frequently Asked Questions on Adding Integers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-adding-integers\">What Is Adding Integers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Finding the sum of two or more integers is known as adding integers<\/strong>. These integers may have the same or different signs.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can define integers as numbers that can be written without a fractional component. <strong>Fractions can be positive, negative, or zero<\/strong>. The set of integers includes positive integers, negative integers, and 0. It is given by $Z = \\left\\{&#8230;,-3,-2,\\;-\\;1, 0, 1, 2, 3, &#8230;\\right\\}$<\/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\/adding-10-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_10_find_sum_pt.png\" alt=\"Adding 10 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding 10 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-100-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_100_vertical_pt.png\" alt=\"Adding 100 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding 100 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_2d_horizontal_pt.png\" alt=\"Adding 2-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\">Adding 2-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\/adding-3-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_horizontal_pt.png\" alt=\"Adding 3-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding 3-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-3-digit-and-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_2d_horizontal_pt.png\" alt=\"Adding 3-Digit and 2-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\">Adding 3-Digit and 2-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\/adding-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_add_3d_3d_horizontal_pt.png\" alt=\"Adding 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\">Adding 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\/adding-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_add_multiples_100_horizontal_pt.png\" alt=\"Adding 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\">Adding 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 href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-near-doubles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_6_gm.png\" alt=\"Adding Near Doubles 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\">Adding Near Doubles 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\/adding-one-by-making-a-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_model_add_1_pt.png\" alt=\"Adding One by Making a Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding One by Making a Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-within-5-by-making-a-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_model_add_2_pt.png\" alt=\"Adding Within 5 by Making a Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding Within 5 by Making a Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const 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checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-three-main-cases-to-consider-when-adding-integers\">Three Main Cases to Consider When Adding Integers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When adding two integers, we come across the following situations:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Addition of two positive integers $(a + b)$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Addition of two negative integers&nbsp; $\\left[(\\;-a) + (\\;-b)\\right]$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Addition of a negative integer and a positive integer $\\left[a +(\\;-b)\\right]$<\/li>\n<\/ul>\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 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class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/adding-3-numbers.jpeg\" alt=\"Adding 3 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\/adding-by-making-multiple-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\/adding-by-making-multiple-of-10.jpeg\" alt=\"Adding by Making Multiple 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\/adding-fractions-mixed-numbers-word-problems\" 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\/adding-fractions-mixed-numbers-word-problems.jpeg\" alt=\"Adding Fractions & Mixed Numbers Word Problems 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\/adding-fractions-using-fraction-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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Fractions Using Models 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\/adding-mixed-numbers-using-models\" 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\/adding-mixed-numbers-using-models.jpeg\" alt=\"Adding Mixed Numbers using Models 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\/adding-mixed-numbers-using-visual-models\" 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\/adding-mixed-numbers-using-visual-models.jpeg\" alt=\"Adding Mixed Numbers using Visual Models 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\/adding-mixed-numbers-word-problems\" 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\/adding-mixed-numbers-word-problems.jpeg\" alt=\"Adding Mixed Numbers Word Problems 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\/adding-two-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\/adding-two-3-digit-numbers.jpeg\" alt=\"Adding Two 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                   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the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-add-integers\">How to Add integers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can add integers with the help of the rules for addition of integers with different signs, which have been discussed below.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Positive integer <\/strong>$+$<strong> Positive integer <\/strong>$=$<strong> Positive integer<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Negative integer <\/strong>$+$<strong> Negative integer <\/strong>$=$<strong> Negative integer<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two integers of the different signs are added, we perform subtraction and add the sign of the number with the largest absolute value.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s learn these rules in detail with examples.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-what-are-the-rules-for-adding-integers\">What Are the Rules for Adding Integers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When adding two or more integers, certain rules must be followed.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The sum of an integer and its additive inverse is equal to 0.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $2 + (\\;\u20132) = 0$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The addition of two positive integers will be positive.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $3 + 5 = 8$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The addition of two negative integers will be negative.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $\u20133 + (\\;\u2013 5) =&nbsp; \u20138$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Examples: $\u20133 + 5 =&nbsp; 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$3 + (\\;\u2013 5) =&nbsp; \u20132$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The result of adding integers with 0 is the same number.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $2 + 0 = 2$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-integer-addition-rules-chart\">Integer Addition Rules Chart<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The rules for addition with examples of adding integers are summarized in the table below:<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Type of Numbers<\/strong><\/td><td><strong>Operation<\/strong><\/td><td><strong>Result<\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td>Positive + Positive&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$(+) + (+)$<\/td><td>Add<\/td><td>Positive $(+)$<\/td><td>$8 + 5 = 13$<\/td><\/tr><tr><td>Negative + Negative&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$(\u2013) $+ (\u2013)<\/td><td>Add<\/td><td>Negative $(-)$<\/td><td>$(\u20138) + (\u20135) = \u201313$<\/td><\/tr><tr><td>Positive + Negative&nbsp;$(+) + (\u2013)$<\/td><td>Subtract<\/td><td>Sign of the number with the largest absolute value<\/td><td>$(8) + (\u20135)= 3$<\/td><\/tr><tr><td>Negative + Positive $(\u2013) + (+)$<\/td><td>Subtract<\/td><td>Sign of the number with the largest absolute value<\/td><td>$(\u20138) + (5)= \u20133$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-adding-integers-with-the-same-sign\">Adding Integers with the Same Sign<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The addition of two positive integers will have a positive sign.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $5 + 8 = 13$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The addition of two negative integers will have a negative sign. Here, we find the sum of the absolute values and add the negative sign to the sum.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $\u20135 + (\\;\u2013 8) =&nbsp; \u201313,$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-adding-integers-with-different-signs\">Adding Integers with Different Signs<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $\u2013 4 + 8 = 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5 + (\\;\u2013 7) =&nbsp; \u20132$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In other words, to add integers with different signs, subtract the absolute values of two integers with different signs, and then attach the sign of the number with the greater absolute value.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-adding-integers-on-a-number-line\">Adding Integers on a Number Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Zero is placed at the center of the number line. All positive integers lie on the right side of zero, and all negative integers lie on the left side of zero.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To add integers on a number line, apply the following rules:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Draw a number line, and look for the first addend, i.e., starting point. The starting point for moving along the number line is any of the given integers.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To add a positive integer, move to the right side (or positive side) of the number line.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To add a negative integer, move to the left side (or negative side) of the number line.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The result of the addition is where you land on the number line.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1:<\/strong> $(\u20133) + 4$<strong> on the number line.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Draw a number line, and look for the starting point. Here, $\u20133$ is the starting point.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, to add a positive integer 4, move 4 units to the right side (or positive side).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line.png\" alt=\"Adding a positive and a negative integer on the number line\" class=\"wp-image-34581\" title=\"Adding a positive and a negative integer on the number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We landed on the number 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $\u20133 + 4 = 1$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: <\/strong>$2 + (\\;\u20135)$<strong> on the number line.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Draw a number line, and look for the starting point. Here, 2 is the starting point.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, to add a negative integer $\u20135$, move 5 units to the left side (or negative side).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line-.png\" alt=\"Adding a positive and a negative integer on the number line\" class=\"wp-image-34583\" title=\"Adding a positive and a negative integer on the number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-a-positive-and-a-negative-integer-on-the-number-line--300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We landed on the number \u20133.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $2 + (\\;\u20135) = \u20133$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: <\/strong>$5 + 4$<strong> on the number line<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-two-positive-integers-on-a-number-line-.png\" alt=\"Adding two positive integers on a number line\" class=\"wp-image-34584\" title=\"Adding two positive integers on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-two-positive-integers-on-a-number-line-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-two-positive-integers-on-a-number-line--300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-properties-of-addition-of-integers\">Properties of Addition of Integers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When adding two or more integers, the following properties can be used to simplify expressions and speed up the calculations.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"9-closure-property\">Closure Property<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of two integers is always an integer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For integers a and b, the sum $a + b$ is also an integer.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"10-commutative-property\">Commutative Property<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of two integers is not affected by the order of the integers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$a + b = b + a$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"11-associative-property\">Associative Property<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of three integers is not affected, no matter how we group three or more integers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$(a + b) + c = a + (b + c)$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"12-additive-identity\">Additive Identity<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The additive identity for integers is 0. Adding 0 to any integer results in the same integer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$a + 0 = a$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"13-additive-inverse\">Additive Inverse<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of an integer and its additive inverse is 0. For any integer a, the additive inverse is -a.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-facts-about-adding-integers\">Facts about Adding Integers<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The sum does alter when the order of the numbers added is changed.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Adding zero to a number gives the number itself.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">When we add 1 to a number, we get the next number.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we have discussed different rules of adding integers, adding integers on number lines, facts based on integer addition, solved examples, and some important FAQs.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"16-solved-examples-on-adding-integers\">Solved Examples on Adding Integers<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Using the rules for adding integers, find the sum <\/strong>$12 + 13$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of two positive integers is always positive.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $12 + 13 = 25$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Using the rules for adding integers, add the integers <\/strong>$7,\\; \u22129$<strong>, and 12.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given integers are $7, \\;\u22129,$ and 12.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We have to find $7 + (\\;\u22129) + 12$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In such a case, first, add both the positive integers 7 and 12.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$7 + 12 = 19$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, the expression becomes $19 + (\\;\u22129)$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Subtract 9 from 19 and give the positive sign.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$19 + (\\;\u22129) = 10$.&nbsp;<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Find which number should be added to 14 to get <\/strong>$\u22125$<strong> as the result.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u201cx\u201d should be added to 14 to get $\u22125$ as the result.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$14 + x = \u22125$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$14 + x = -5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$x = -5 \\;-\\;14$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$x = -5 + (\\;-14)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$x = -19$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $\u221219$ should be added to 14 to get $\u22125$ as the result.<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Using the number line, find <\/strong>$4 + (\\;-7)$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find $4 + (\\;-7)$, we have to move 7 steps to the left from 4. That will give us the answer $\u22123$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"589\" height=\"78\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-integers-on-the-number-line.png\" alt=\"Adding integers on the number line\" class=\"wp-image-34585\" title=\"Adding integers on the number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-integers-on-the-number-line.png 589w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adding-integers-on-the-number-line-300x40.png 300w\" sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/figure>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Joe spent <\/strong>$\\$35$<strong> on groceries on Monday. He spent <\/strong>$\\$13$<strong> more than that on Tuesday. How much did he spend on groceries in total?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Money spent for groceries on Tuesday $= \\$35 + \\$13 = \\$48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, money spent for groceries on both days $= \\$35 + \\$48 = \\$83$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"17-practice-problems-on-adding-integers\">Practice Problems on Adding Integers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Adding Integers: Definition, Rules for Addition, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">$13 + (\\;\u22127) =$ __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">20<\/div><div class=\"spq_answer_block\" data-value=\"1\">5<\/div><div class=\"spq_answer_block\" data-value=\"2\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">7<\/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: 6<br\/>When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $13 + (\\;\u22127) = +6$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is equal to $\u22125 + (\\;\u22126)$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\u22121$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\u221211$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$1$<\/div><div class=\"spq_answer_block\" data-value=\"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: $\u221211$<br\/>$\u22125 + (\\;\u22126)  = \u221211$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the value of $\u221215 +(\\;\u2212 11)$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$25$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$26$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\u221225$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\u221226$<\/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: $\u221226$<br\/>$\u221215 +(\\;\u2212 11) = \u221226$<\/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\">$0 + (\\;\u22127) =$ __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$0$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-7$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$7$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$70$<\/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\/>$0 + (\\; \u22127)$<br>\r\n$= \u22127$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Daniel has 10 red pens and 12 blue pens. How many pens does he own?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">21<\/div><div class=\"spq_answer_block\" data-value=\"1\">22<\/div><div class=\"spq_answer_block\" data-value=\"2\">23<\/div><div class=\"spq_answer_block\" data-value=\"3\">24<\/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: 22<br\/>The total number of pens $= 10 + 12 = 22$.<\/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                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(\\\\;\u22127) = +6$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $$13 + (\\\\;\u22127) = +6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $$13 + (\\\\;\u22127) = +6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $$13 + (\\\\;\u22127) = +6$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $$13 + (\\\\;\u22127) = +6$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<br>\r\nHence, $$13 + (\\\\;\u22127) = +6$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is equal to $$\u22125 + (\\\\;\u22126)$$?\",\n                    \"text\": \"Which of the following is equal to $$\u22125 + (\\\\;\u22126)$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u22121$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\u221211$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\u22125 + (\\\\;\u22126)  = \u221211$$<br>\r\nWhen two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of $$\u221215 +(\\\\;\u2212 11)$$.\",\n                    \"text\": \"Find the value of $$\u221215 +(\\\\;\u2212 11)$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$26$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u221225$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\u221226$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\u221215 +(\\\\;\u2212 11) = \u221226$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$0 + (\\\\;\u22127) =$$ __________.\",\n                    \"text\": \"$$0 + (\\\\;\u22127) =$$ __________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$70$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-7$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0 + (\\\\; \u22127)$$<br>\r\n$$= \u22127$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Daniel has 10 red pens and 12 blue pens. How many pens does he own?\",\n                    \"text\": \"Daniel has 10 red pens and 12 blue pens. How many pens does he own?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"21\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"22\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The total number of pens $$= 10 + 12 = 22$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"18-frequently-asked-questions-on-adding-integers\">Frequently Asked Questions on Adding Integers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" 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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c37daef7-9e3c-439d-b2c1-7df2e2373f09\"><strong>Is 0 an integer?<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes. 0 is an integer because an integer is defined as a number without any fractional part, and zero has no fractional part.<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c37daef7-9e3c-439d-b2c1-7df2e2373f09\"><strong>What is the rule for adding integers with different signs?<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as the number with the largest absolute value.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $\u20135 + 11 = 6$,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$7 + (\u2013\\; 15) =&nbsp; \u20138$.<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c37daef7-9e3c-439d-b2c1-7df2e2373f09\"><strong>What is the rule for adding integers on a number line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-c37daef7-9e3c-439d-b2c1-7df2e2373f09\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To add integers on a number line, apply the following rules:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Draw a number line, and look for the first addend, the starting point.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To add a positive integer move to the right side (or positive side) of the number line.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To add a negative integer move to the left side (or negative side) of the number line.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The result of the addition is where you land on the number line.<\/li>\n<\/ul>\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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c37daef7-9e3c-439d-b2c1-7df2e2373f09\"><strong>What is the sign of the result when two negative integers are added together?<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two negative integers are added together, the sign of the result is always negative.<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c37daef7-9e3c-439d-b2c1-7df2e2373f09\"><strong>What is the sign of the result when positive and negative integers are added together?<\/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-c37daef7-9e3c-439d-b2c1-7df2e2373f09\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two integers of the different signs are added, only subtraction will be performed and the sign of the result will be the same as that of the larger number.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Adding Integers? Finding the sum of two or more integers is known as adding integers. These integers may have the same or different signs.&nbsp; We can define integers as numbers that can be written without a fractional component. Fractions can be positive, negative, or zero. The set of integers includes positive integers, negative &#8230; <a title=\"Adding Integers: Definition, Rules for Addition, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/adding-integers\" aria-label=\"More on Adding Integers: Definition, Rules for Addition, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-26583","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\/26583","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=26583"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26583\/revisions"}],"predecessor-version":[{"id":39924,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26583\/revisions\/39924"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}