{"id":33273,"date":"2023-08-20T17:49:41","date_gmt":"2023-08-20T17:49:41","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=33273"},"modified":"2023-08-20T18:56:52","modified_gmt":"2023-08-20T18:56:52","slug":"additive-inverse-definition-formula-properties-facts-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse","title":{"rendered":"Additive Inverse: Definition, Formula, Properties, Facts, 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-1db74423-5d5c-4c6c-94c4-ed7c7efb6c30\" 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\/additive-inverse#0-what-is-the-additive-inverse-of-a-number>What Is the Additive Inverse of a Number?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse#4-additive-inverse-formula>Additive Inverse Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse#5-how-to-find-the-additive-inverse-of-a-number>How to Find the Additive Inverse of a Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse#11-solved-examples-on-additive-inverse>Solved Examples on Additive Inverse<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse#12-practice-problems-on-additive-inverse>Practice Problems on Additive Inverse<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse#13-frequently-asked-questions-on-additive-identity>Frequently Asked Questions on Additive Identity<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-additive-inverse-of-a-number\">What Is the Additive Inverse of a Number?<\/h2>\n\n\n\n<p><strong>Additive inverse of a number is a number that, when added to the original number, gives the sum of 0. In simple words, the sum of a number and its additive inverse is always 0.<\/strong><\/p>\n\n\n\n<p>Mathematically, the additive inverse of a real number n is denoted as \u2013 n.\u00a0<\/p>\n\n\n\n<p>Similarly, the additive inverse of \u2013 n is n.<\/p>\n\n\n\n<p>n + ( \u2013 n) = 0 for every real number n.<\/p>\n\n\n\n<p>In simple words, the additive inverse of a number is the opposite or negative of that number. In general, we can study the concept of additive inverse for integers, rational numbers, real numbers, etc. Note that the number 0 is known as the additive identity.<\/p>\n\n\n\n<p><strong>Additive inverse examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The additive inverse of 7 is &#8211; 7, since 7 + (\u2013 7) = 0.<\/li>\n\n\n\n<li>\u200b\u200bThe additive inverse of \u201310 is 10.<\/li>\n\n\n\n<li>The additive inverse of \u2013 99 is 99, since (\u2013 99) +99 = 0.<\/li>\n\n\n\n<li>The additive inverse of 0 is 0 itself, because 0 + 0 = 0.<\/li>\n<\/ul>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/fill-in-the-correct-number-using-additive-patterns\" 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\/algebra_additive_pattern_pt.png\" alt=\"Fill in the Correct Number Using Additive Patterns 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\">Fill in the Correct Number Using Additive Patterns 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\/understand-area-as-additive\" 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\/geo_meas_area_additive_pt.png\" alt=\"Understand Area as Additive 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\">Understand Area as Additive 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-additive-inverse-definition\">Additive Inverse Definition<\/h2>\n\n\n\n<p>The additive inverse of a number is the number that, when added to the given number, results in the sum of 0.<\/p>\n\n\n\n<p>The additive inverse of a number is also called the opposite or the negation (or negative) of that number.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-additive-inverse-property\">Additive Inverse Property<\/h2>\n\n\n\n<p>If the sum of two real numbers is zero, then each real number is said to be the additive inverse of the other.<\/p>\n\n\n\n<p>In simple words, if a + b = 0, where a and b are real numbers, then we can say that<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a is the additive inverse of b, and<\/li>\n\n\n\n<li>b is the additive inverse of a.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-additive-inverse-on-a-number-line\">Additive Inverse on a Number Line<\/h2>\n\n\n\n<p>On a number line, we can easily find the additive inverse of a number. Note down the distance of the given number from the origin. Now, mark the point to the opposite direction of 0, which lies at the same distance.&nbsp;<\/p>\n\n\n\n<p>In other words, 0 is the midpoint of the line segment joining the given number and its additive inverse on a number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"610\" height=\"120\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/additive-inverse-of-5-on-a-number-line.png\" alt=\"Additive inverse of 5 on a number line\" class=\"wp-image-33297\" title=\"Additive inverse of 5 on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/additive-inverse-of-5-on-a-number-line.png 610w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/additive-inverse-of-5-on-a-number-line-300x59.png 300w\" sizes=\"auto, (max-width: 610px) 100vw, 610px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-additive-inverse-formula\">Additive Inverse Formula<\/h2>\n\n\n\n<p>Additive inverse of x&nbsp; = 0 \u2013 x<\/p>\n\n\n\n<p>Additive inverse of x\u00a0 = ( \u2013 1) $\u00d7$ <em>x<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-find-the-additive-inverse-of-a-number\">How to Find the Additive Inverse of a Number<\/h2>\n\n\n\n<p>We can find the additive inverse of a number using different methods.<\/p>\n\n\n\n<p><strong>Formula 1: Subtraction method<\/strong><\/p>\n\n\n\n<p>Let <em>x<\/em> be any real number. To find the additive inverse of <em>x<\/em>, simply subtract <em>x<\/em> from 0.<\/p>\n\n\n\n<p>Additive inverse of x&nbsp; = 0 \u2013 x<\/p>\n\n\n\n<p>Examples:&nbsp;<\/p>\n\n\n\n<p>Additive inverse of 6 = 0 \u2013 6 = \u2013 6<\/p>\n\n\n\n<p>Additive inverse of \u2013 9 = 0 \u2013 ( \u2013 9) = 9<\/p>\n\n\n\n<p><strong>Formula 2: Multiplication method<\/strong><\/p>\n\n\n\n<p>Let <em>x<\/em> be any real number. To find the additive inverse of <em>x<\/em>, simply multiply <em>x<\/em> with \u20131.<\/p>\n\n\n\n<p>Additive inverse of x\u00a0 = (\u2013 1) $\u00d7$ <em>x<\/em><\/p>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<p>Additive inverse of 1 = ( \u20131 ) $\u00d7$ 1 = \u2013 1<\/p>\n\n\n\n<p>Additive inverse of \u2013 78 = (\u2013 1) \u00d7 (\u2013 78) = 78<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-additive-inverse-properties\">Additive Inverse: Properties<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2013 ( \u2013 x) = x<\/li>\n\n\n\n<li>\u2013 (x + y) = \u2013 x \u2013 y<\/li>\n\n\n\n<li>\u2013(x \u2013 y) = y \u2013 x<\/li>\n\n\n\n<li>\u2013 ($\\frac{x}{y}$)= $\\frac{x}{\u2013 y}$<\/li>\n\n\n\n<li>$\u2013 (\\frac{\u2013 x}{y})= \\frac{x}{y}$<\/li>\n\n\n\n<li>\u2013 (x + y)] = (\u2013 x) + (\u2013 y)<\/li>\n\n\n\n<li>\u2013 (x \u2013 y) = ( \u2013 x) + y<\/li>\n\n\n\n<li>(\u2013 x) $\\times$(\u2013 y)= x y<\/li>\n\n\n\n<li>x $\\times$ (\u2013 y) = (\u2013 x) y =\u2013 (x $\\times$ y)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-additive-inverse-of-different-numbers\">Additive Inverse of Different Numbers<\/h2>\n\n\n\n<p><strong>Additive inverse of natural numbers and whole numbers<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/natural-numbers\">Natural numbers<\/a> are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/count\">counting numbers<\/a>, defined by the set {1, 2, 3, 4, 5, 6, \u2026 }.&nbsp;<\/p>\n\n\n\n<p>Whole numbers are the set of natural numbers with 0 or {0, 1, 2, 3, 4, 5, \u2026).<\/p>\n\n\n\n<p>Natural numbers are positive. <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">Whole numbers<\/a> (except 0) are also positive. Thus, the additive inverse of any natural numbers or a whole number (except 0) is always negative.<\/p>\n\n\n\n<p><strong>Examples:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Additive inverse of 0 is 0.<\/li>\n\n\n\n<li>Additive inverse of 1 is -1.<\/li>\n\n\n\n<li>Additive inverse of 5783 is -5783.<\/li>\n\n\n\n<li>Additive inverse of 49 is -49.<\/li>\n<\/ul>\n\n\n\n<p><strong>Additive inverse of integers<\/strong><\/p>\n\n\n\n<p>The set of integers consists of positive integers, negative integers, and 0.<\/p>\n\n\n\n<p>Integers = {&#8230;,-3,-2,-1, 0, 1, 2, 3, &#8230;}<\/p>\n\n\n\n<p>The additive inverse of negative integers is always positive.<\/p>\n\n\n\n<p>The additive inverse of positive integers is always negative.<\/p>\n\n\n\n<p>Additive inverse of 0 is 0.<\/p>\n\n\n\n<p><strong>Examples:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The additive inverse of -10 is -(-10) = 10.<\/li>\n\n\n\n<li>The additive inverse of 42 is -(42) = -42.<\/li>\n\n\n\n<li>The additive inverse of -42 is 42.<\/li>\n<\/ul>\n\n\n\n<p><strong>Additive Inverse of Fractions<\/strong><\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> is a number represented as $\\frac{x}{y}$, where x and y are whole numbers, and y is not equal to 0.<\/p>\n\n\n\n<p>The additive inverse of a fraction $\\frac{x}{y}$ is $\\frac{-x}{y}$.<\/p>\n\n\n\n<p><strong>Examples:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Additive inverse of $\\frac{7}{8}$ is $\\frac{-7}{8}$.<\/li>\n\n\n\n<li>Additive inverse of $\\frac{6}{7}$ is $\\frac{-6}{7}$.<\/li>\n<\/ul>\n\n\n\n<p><strong>Additive Inverse of Rational Numbers<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rational-numbers\">Rational numbers<\/a> are of the form $\\frac{p}{q}$, where p and q are integers, and q is not equal to 0.<\/p>\n\n\n\n<p>The additive inverse of a rational number $\\frac{p}{q}$ is $\\frac{-p}{q}$.<\/p>\n\n\n\n<p><strong>Examples:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Additive inverse of $\\frac{5}{9}$ is $\\frac{-5}{9}$.<\/li>\n\n\n\n<li>Additive inverse of $\\frac{-1}{7}$ is $\\frac{1}{7}$.<\/li>\n<\/ul>\n\n\n\n<p><strong>Additive inverse of Decimals<\/strong><\/p>\n\n\n\n<p>For any decimal x, its additive inverse is -x.&nbsp;<\/p>\n\n\n\n<p>For instance, the additive inverse of 0.25 is -0.25, as 0.25 + (- 0.25) = 0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-additive-inverse-and-multiplicative-inverse\">Additive Inverse and Multiplicative Inverse<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Additive Inverse<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Multiplicative Inverse<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Additive inverse is a number that, when added to the original number, the sum is 0.<\/td><td class=\"has-text-align-left\" data-align=\"left\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplicative-inverse\">Multiplicative inverse<\/a> is a number that, when multiplied with the original number, the product is 1.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">The additive inverse of a number is the negative or opposite of that number.<\/td><td class=\"has-text-align-left\" data-align=\"left\">The multiplicative inverse of a number is the reciprocal of that number.&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">The sum of a number and its additive inverse is always 0.<\/td><td class=\"has-text-align-left\" data-align=\"left\">The product of a number and its multiplicative inverse is always 1.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Additive inverse of 0 is 0.<\/td><td class=\"has-text-align-left\" data-align=\"left\">0 does not have a multiplicative inverse.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">For any real number n, its additive inverse is -n.<\/td><td class=\"has-text-align-left\" data-align=\"left\">For any non-zero real number n, its additive multiplicative inverse is $\\frac{1}{n}$.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-additive-inverse\">Facts about Additive Inverse<\/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>The additive inverse of the additive inverse is the original number.<\/li>\n\n\n\n<li>The additive inverse of 0 is 0 itself.<\/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 learned about the concept of additive inverses and how they play a crucial role in mathematics. Understanding the additive inverse allows us to work with negative numbers more effectively and solve a variety of mathematical problems. Let&#8217;s solidify our understanding by practicing a few examples and attempting MCQs for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-additive-inverse\">Solved Examples on Additive Inverse<\/h2>\n\n\n\n<p><strong>1. What is the additive inverse of 12345?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Given number = 12345&nbsp;<\/p>\n\n\n\n<p>Additive inverse of 12345 = 0 &#8211; 12345 = -12345<\/p>\n\n\n\n<p><strong>2. What is the additive inverse of <\/strong>$\\frac{-10}{13}$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The additive inverse of $\\frac{x}{y}$ is $\\frac{-x}{y}$.<\/p>\n\n\n\n<p>Additive inverse of $\\frac{-10}{13} = \\;-\\; (\\frac{-10}{13}) = \\frac{10}{13}$<\/p>\n\n\n\n<p>Thus, the additive inverse of $\\frac{-10}{13}$ is $\\frac{10}{13}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>3. The additive inverse of a number is <\/strong><strong>-6<\/strong><strong>. Find the number.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let x be the number.<\/p>\n\n\n\n<p>Additive inverse of x = -x<\/p>\n\n\n\n<p>It is given that the additive inverse is <strong>-6<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p>\u00a0Thus, &#8211; x = -6<\/p>\n\n\n\n<p>x = 6<\/p>\n\n\n\n<p>The required number is 6.<\/p>\n\n\n\n<p><strong>4. Is <\/strong><strong>3x + 5<\/strong><strong> additive inverse of <\/strong><strong>&#8211; 3x &#8211; 5<\/strong><strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The sum of a number and its additive inverse is 0.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s find the sum of <strong>3x + 5<\/strong><strong> and <\/strong><strong>&#8211; 3x &#8211; 5<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p>(3x + 5) + (- 3x &#8211; 5)= 3x + 5 &#8211; 3x &#8211; 5 = 0\u00a0<\/p>\n\n\n\n<p>So, 3x + 5 is the additive inverse of -3x &#8211; 5.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-additive-inverse\">Practice Problems on Additive Inverse<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Additive Inverse: Definition, Formula, Properties, Facts, Examples<\/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\">What is the additive inverse of the additive inverse of 3?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">-3<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>Additive inverse of $3 = \\;-\\;3$<br>\r\nAdditive inverse of $\\;-\\;3 = 3$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the additive inverse of 0?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">not defined<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">- 1<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/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: 0<br\/>Additive inverse of 0 is 0.<\/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\">To find the additive inverse of a non-zero real number, <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">subtract it from 0.<\/div><div class=\"spq_answer_block\" data-value=\"1\">multiply it by -1.<\/div><div class=\"spq_answer_block\" data-value=\"2\">simply reverse its sign.<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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: All of the above<br\/>All options are different ways to find the additive inverse of a number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The sum of a number and its additive inverse is _______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">the number itself<\/div><div class=\"spq_answer_block\" data-value=\"1\">negative of that number<\/div><div class=\"spq_answer_block\" data-value=\"2\">1<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/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: 0<br\/>The sum of a number and its additive inverse is 0. <\/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\">What is the multiplicative inverse of a number whose additive inverse -0.6?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{6}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{5}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{6}{1}$<\/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: $\\frac{5}{3}$<br\/>Additive inverse of a number $= \\;-\\;0.6$<br>\r\nThus, the number $= 0.6$<br>\r\nMultiplicative inverse of $0.6 = \\frac{1}{0.6} = \\frac{10}{6} = \\frac{5}{3}$<\/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\": \"Additive Inverse: Definition, Formula, Properties, Facts, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Additive Inverse\"\n       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              \"text\": \"-3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of $$3 = \\\\;-\\\\;3$$<br>\r\nAdditive inverse of $$\\\\;-\\\\;3 = 3$$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of $$3 = \\\\;-\\\\;3$$<br>\r\nAdditive inverse of $$\\\\;-\\\\;3 = 3$$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of $$3 = \\\\;-\\\\;3$$<br>\r\nAdditive inverse of $$\\\\;-\\\\;3 = 3$$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Additive inverse of $$3 = \\\\;-\\\\;3$$<br>\r\nAdditive inverse of $$\\\\;-\\\\;3 = 3$$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Additive inverse of $$3 = \\\\;-\\\\;3$$<br>\r\nAdditive inverse of $$\\\\;-\\\\;3 = 3$$<br>\r\nThus, the additive inverse of the additive inverse of 3 is 3.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the additive inverse of 0?\",\n                    \"text\": \"What is the additive inverse of 0?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Additive inverse of 0 is 0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"not defined\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of 0 is 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of 0 is 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"- 1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of 0 is 0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Additive inverse of 0 is 0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Additive inverse of 0 is 0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"To find the additive inverse of a non-zero real number, \",\n                    \"text\": \"To find the additive inverse of a non-zero real number, \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"subtract it from 0.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"multiply it by -1.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"simply reverse its sign.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All options are different ways to find the additive inverse of a number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The sum of a number and its additive inverse is _______.\",\n                    \"text\": \"The sum of a number and its additive inverse is _______.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sum of a number and its additive inverse is 0. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"the number itself\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of a number and its additive inverse is 0. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"negative of that number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of a number and its additive inverse is 0. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of a number and its additive inverse is 0. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sum of a number and its additive inverse is 0. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sum of a number and its additive inverse is 0. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the multiplicative inverse of a number whose additive inverse -0.6?\",\n                    \"text\": \"What is the multiplicative inverse of a number whose additive inverse -0.6?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{6}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{6}{1}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Additive inverse of a number $$= \\\\;-\\\\;0.6$$<br>\r\nThus, the number $$= 0.6$$<br>\r\nMultiplicative inverse of $$0.6 = \\\\frac{1}{0.6} = \\\\frac{10}{6} = \\\\frac{5}{3}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-on-additive-identity\">Frequently Asked Questions on Additive Identity<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\" 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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\"><strong>What is the additive inverse of 0?<\/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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\">\n\n<p>The additive inverse of 0 is 0 itself.<\/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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\"><strong>Is the additive inverse all whole numbers negative?<\/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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\">\n\n<p>Except for 0, the additive inverse of all other whole numbers (natural numbers) is always negative, since all the natural numbers are positive.<\/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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\"><strong>Is additive inverse the same as additive identity?<\/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-a4b82ed7-ffc6-44a6-9def-3eafca25ebf0\">\n\n<p>The sum of a number and its additive identity is the number itself, whereas the sum of a number and its additive inverse is 0.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Additive Inverse of a Number? Additive inverse of a number is a number that, when added to the original number, gives the sum of 0. In simple words, the sum of a number and its additive inverse is always 0. Mathematically, the additive inverse of a real number n is denoted as &#8230; <a title=\"Additive Inverse: Definition, Formula, Properties, Facts, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/additive-inverse\" aria-label=\"More on Additive Inverse: Definition, Formula, Properties, Facts, 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-33273","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\/33273","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=33273"}],"version-history":[{"count":6,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33273\/revisions"}],"predecessor-version":[{"id":33306,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33273\/revisions\/33306"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=33273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=33273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=33273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}