{"id":156402,"date":"2022-03-26T01:43:00","date_gmt":"2022-03-25T20:13:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/additive-inverse-explanation-general-formula-solved-examples-and-faqs\/"},"modified":"2025-06-23T16:47:54","modified_gmt":"2025-06-23T11:17:54","slug":"additive-inverse-explanation-general-formula-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/","title":{"rendered":"Additive Inverse"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#What_is_the_Additive_Inverse\" title=\"What is the Additive Inverse?\">What is the Additive Inverse?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_Property\" title=\"Additive Inverse Property\">Additive Inverse Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_of_Real_Number\" title=\"Additive Inverse of Real Number\">Additive Inverse of Real Number<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_of_Complex_Numbers\" title=\"Additive Inverse of Complex Numbers\">Additive Inverse of Complex Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#The_Additive_Inverse_of_a_Fraction\" title=\"The Additive Inverse of a Fraction\">The Additive Inverse of a Fraction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_Formula\" title=\"Additive Inverse Formula\">Additive Inverse Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_and_Multiple_Inverse\" title=\"Additive Inverse and Multiple Inverse\">Additive Inverse and Multiple Inverse<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_in_Algebraic_Expression\" title=\"Additive Inverse in Algebraic Expression\">Additive Inverse in Algebraic Expression<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_Calculator\" title=\"Additive Inverse Calculator\">Additive Inverse Calculator<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#How_to_Use_an_Additive_Inverse_Calculator\" title=\"How to Use an Additive Inverse Calculator?\">How to Use an Additive Inverse Calculator?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_Solved_Examples\" title=\"Additive Inverse: Solved Examples\">Additive Inverse: Solved Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#Additive_Inverse_Practice_Questions\" title=\"Additive Inverse: Practice Questions\">Additive Inverse: Practice Questions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#FAQs_on_Additive_inverse\" title=\"FAQs on Additive inverse\">FAQs on Additive inverse<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#What_is_the_additive_inverse_of_a_number\" title=\"What is the additive inverse of a number?\">What is the additive inverse of a number?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#How_do_you_find_the_additive_inverse_of_a_fraction\" title=\"How do you find the additive inverse of a fraction?\">How do you find the additive inverse of a fraction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/#What_is_the_additive_inverse_of_an_algebraic_expression\" title=\"What is the additive inverse of an algebraic expression?\">What is the additive inverse of an algebraic expression?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>A number that is added to another number to make it zero is known as the additive inverse. For example, the result of adding -3 to 3 is zero. Therefore, -3 is the additive inverse of 3. We come across such situations in our daily lives where we nullify the value of a quantity by taking its additive inverse. Let us learn the additive inverse property of real and complex numbers in this article.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Additive_Inverse\"><\/span>What is the Additive Inverse?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An additive inverse of a number is just like its opposite number. When a number is added to its additive inverse, a number becomes zero. Getting an additive inverse is not difficult. You need to change a positive number into a negative one and vice versa to get the respective additive inverse.<\/p>\n<p>For example, 7 + (-7) = 0.<\/p>\n<p>Therefore, -7 is said to be the additive inverse of 7 and 7 is the additive inverse of -7.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_Property\"><\/span>Additive Inverse Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Two real numbers are said to be the additive inverse of each other when their sum equals zero. Therefore, we can write down R + (\u2212R) = 0, where R denotes any real number. Here, R and -R are additive inverses of each other. This can be illustrated by understanding the given example:<\/p>\n<p>2\/7 + (\u22122\/7) = 0.<\/p>\n<p>Thus, 2\/7 is the additive inverse of -2\/7 and vice versa. Above-discussed example is an illustration of the additive inverse of a fraction.<\/p>\n<p>Imagine you have a bucket of water at room temperature. Adding a litre of hot water raises the temperature, but when you add a litre of cold water, the overall temperature adjusts back, balancing out to room temperature. This concept is similar to the concept of the additive inverse property in mathematics, where two numbers with opposite signs cancel each other out to result in zero.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-mock-tests?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/cvc.png\" alt=\"online mock test\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/cvc.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-mock-tests?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>Online Mock Test<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost Your Preparation With Our Free Online Mock Tests For IIT-JEE, NEET And CBSE Exams<\/div>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_of_Real_Number\"><\/span>Additive Inverse of Real Number<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>An additive inverse can be a whole number, a fraction, a decimal, a natural number, an integer or any of the real numbers. The additive inverse of real numbers is simply the negative of the given number.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td><strong>Example<\/strong><\/td>\n<td><strong>Given Number<\/strong><\/td>\n<td><strong>Additive Inverse<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Natural Numbers<\/strong><\/td>\n<td>22<\/td>\n<td>-22<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/whole-numbers\/\"><strong>Whole Numbers<\/strong><\/a><\/td>\n<td>16<\/td>\n<td>-16<\/td>\n<\/tr>\n<tr>\n<td><strong>Integers<\/strong><\/td>\n<td>-120<\/td>\n<td>120<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/equivalent-fractions\/\"><strong>Fractions<\/strong><\/a><\/td>\n<td>-4\/9<\/td>\n<td>4\/9<\/td>\n<\/tr>\n<tr>\n<td>Decimals<\/td>\n<td>2.8<\/td>\n<td>-2.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_of_Complex_Numbers\"><\/span>Additive Inverse of Complex Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The existence of an Additive inverse is one of the properties of <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/complex-numbers\/\"><strong>complex numbers<\/strong><\/a>. The Algebraic Properties of complex numbers define that for any Z \u20ac C there is a unique number existing, say -Z \u20ac C, such that Z +(-Z) = 0. For two real numbers x and y such that Z = (x, y), the following holds true: -z = (-x, -y).<\/p>\n<p>So, for a complex number Z = x + iy. Its additive inverse is -Z = -x &#8211; iy.<\/p>\n<p>For example, an additive inverse of &#8211; i &#8211; 1 equals &#8211; (- i &#8211; 1) which equals i + 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"The_Additive_Inverse_of_a_Fraction\"><\/span>The Additive Inverse of a Fraction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The additive inverse of a fraction a\/b is &#8211; a\/b, and vice versa. This is because a\/b + ( -a\/b ) = 0.<\/p>\n<ul>\n<li>For a positive fraction, the additive inverse is the same fraction with a negative sign. For example, the additive inverse of 7\/9 is -7\/9.<\/li>\n<li>For a negative fraction, the additive inverse is the same fraction without the negative sign. For example, the additive inverse of -7\/8 is 7\/8.<\/li>\n<\/ul>\n<p>This property ensures that the sum of a fraction and its additive inverse is always zero, maintaining balance in calculations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_Formula\"><\/span>Additive Inverse Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The general formula for the additive inverse of a number can be written in the form of the number itself. Any number when added to its negative will nullify each other and give the overall sum as zero. To find the additive inverse of the given number we need to find its negative. It means that for the given number N, we need to find -1 \u00d7 (N).<\/p>\n<p>Therefore,<\/p>\n<p>Additive Inverse of N = -1 \u00d7 (N)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_and_Multiple_Inverse\"><\/span>Additive Inverse and Multiple Inverse<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are two properties of numbers which are additive inverse and multiplicative inverse properties that are related to addition and multiplication operation respectively. For a number x, &#8211; x is the additive inverse while 1\/x is the multiplicative inverse. Below given table differentiates between additive inverse and multiplicative inverse:<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td><strong>Additive Inverse<\/strong><\/td>\n<td><strong>Multiplicative Inverse<\/strong><\/td>\n<\/tr>\n<tr>\n<td>To find the additive inverse of the number we need to change the sign of the number.<\/td>\n<td>To find the multiplicative inverse of a given number, we take the reciprocal of the number.<\/td>\n<\/tr>\n<tr>\n<td>The Additive Inverse is added to the original number to get 0.<\/td>\n<td>The Multiplicative Inverse is multiplied by the original number to get 1.<\/td>\n<\/tr>\n<tr>\n<td>For any given number, n, the equation for additive inverse is: a + (-a) = 0<\/td>\n<td>For any given number, n, the equation for multiplicative inverse is: a \u00d7 1\/a = 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_in_Algebraic_Expression\"><\/span>Additive Inverse in Algebraic Expression<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The concept of additive inverse also applies to algebraic expressions. The additive inverse of an algebraic expression is the expression that results in zero when added to the original. This is achieved by changing the sign of every term in the expression. The additive inverse of an expression is found by multiplying the entire expression by \u22121. Mathematically, it is expressed as:<\/p>\n<p>Additive Inverse of (expression) = \u2212 (expression)<\/p>\n<p>The additive inverse of x<sup>2<\/sup> + 4x &#8211; 7 is (-x<sup>2<\/sup>&#8211; 4x + 7)<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_Calculator\"><\/span>Additive Inverse Calculator<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The Additive Inverse calculator is a tool that runs online to show the additive inverse of a number. An Additive Inverse Calculator is an online tool that shows you the additive inverse of some number. Just put any number not more than six digits long and within seconds you will have its additive inverse at your fingertips.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_to_Use_an_Additive_Inverse_Calculator\"><\/span>How to Use an Additive Inverse Calculator?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To use the additive inverse calculator, follow these few easy steps:<\/p>\n<p><strong>Step 1:<\/strong> In the input box, provide the number whose additive inverse you want.<\/p>\n<p><strong>Step 2: <\/strong>Select &#8220;Calculate&#8221; to calculate the number\u2019s additive inverse.<\/p>\n<p><strong>Step 3: <\/strong>To enter a new number, click on &#8220;Reset&#8221; to clear the field.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_Solved_Examples\"><\/span>Additive Inverse: Solved Examples<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Example 1: Find the additive inverse of 7.<\/strong><\/p>\n<p><strong>Solution:<\/strong> The additive inverse of a number N is \u22121\u00d7N.<\/p>\n<p>Therefore, the Additive Inverse of 7=\u22121\u00d77=\u22127<\/p>\n<p>Verification: 7+(\u22127)=0<\/p>\n<p>Thus, the additive inverse of 7 is \u22127.<\/p>\n<p><strong>Example 2: Find the additive inverse of <\/strong><strong>5<\/strong><strong>8<\/strong><\/p>\n<p><strong>Solution: <\/strong>The additive inverse of a number N is \u22121\u00d7N.<\/p>\n<p>Therefore, the Additive Inverse of 5\/8is (-1)(5\/8) = -5\/8<\/p>\n<p>Verification: Thus, the additive inverse of 5\/8 is -5\/8.<\/p>\n<p><strong>Example 3: Find the additive inverse of \u221212.<\/strong><\/p>\n<p><strong>Solution: <\/strong>The additive inverse of a number N is \u22121\u00d7N.<\/p>\n<p>Therefore, the Additive Inverse of \u221212=\u22121\u00d7(\u221212)=12<\/p>\n<p>Verification: \u221212+12=0<\/p>\n<p>Thus, the additive inverse of \u221212 is 12.<\/p>\n<p><strong>Example 4: Find the additive inverse of 3x\u22124y.<\/strong><\/p>\n<p><strong>Solution: <\/strong>The additive inverse of a number N is \u22121\u00d7N.<\/p>\n<p>Therefore, the Additive Inverse of (3x\u22124y)=\u2212(3x\u22124y)=\u22123x+4y<\/p>\n<p>Verification: (3x\u22124y)+(\u22123x+4y)=0<\/p>\n<p>Thus, the additive inverse of 3x\u22124y is \u22123x+4y.<\/p>\n<p><strong>Example 5: Find the additive inverse of x<\/strong><strong>2<\/strong><strong> +5x+6.<\/strong><\/p>\n<p><strong>Solution: <\/strong>The additive inverse of a number N is \u22121\u00d7N.<\/p>\n<p>Therefore, the Additive Inverse of (x 2 +5x+6)=\u2212(x<sup> 2<\/sup> +5x+6)=\u2212x<sup> 2<\/sup> \u22125x\u22126<\/p>\n<p>Verification: (x<sup> 2<\/sup> +5x+6)+(\u2212x<sup> 2<\/sup> \u22125x\u22126)=0<\/p>\n<p>Thus, the additive inverse of x<sup> 2<\/sup> +5x+6 is \u2212x<sup> 2<\/sup> \u22125x\u22126.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Additive_Inverse_Practice_Questions\"><\/span>Additive Inverse: Practice Questions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>Find the additive inverse of the number \u221215.<\/li>\n<li>Determine the additive inverse of the fraction 11\/14.<\/li>\n<li>What is the additive inverse of the algebraic expression 4x\u22125y+6?<\/li>\n<li>Find the additive inverse of the expression 2a<sup>2<\/sup> \u22123a+4.<\/li>\n<li>If N = 8\/9, what is the additive inverse of N?<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Additive_inverse\"><\/span>FAQs on Additive inverse<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_additive_inverse_of_a_number\"><\/span>What is the additive inverse of a number?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe additive inverse of a number N is \u2212N. Adding a number to its additive inverse results in zero.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_do_you_find_the_additive_inverse_of_a_fraction\"><\/span>How do you find the additive inverse of a fraction?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tMultiply the fraction by \u22121 to find the additive inverse of the given fraction. For example, the additive inverse of 7\/5 is -7\/5.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_additive_inverse_of_an_algebraic_expression\"><\/span>What is the additive inverse of an algebraic expression?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe additive inverse of an expression is found by changing the sign of each term. For example, the additive inverse of y2 + 5y + 10 is - y2 - 5y - 10. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the additive inverse of a number?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The additive inverse of a number N is \u2212N. Adding a number to its additive inverse results in zero.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How do you find the additive inverse of a fraction?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Multiply the fraction by \u22121 to find the additive inverse of the given fraction. For example, the additive inverse of 7\/5 is -7\/5.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the additive inverse of an algebraic expression?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The additive inverse of an expression is found by changing the sign of each term. For example, the additive inverse of y2 + 5y + 10 is - y2 - 5y - 10.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>A number that is added to another number to make it zero is known as the additive inverse. For example, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Additive Inverse","_yoast_wpseo_title":"Additive Inverse - Definition, Properties & Examples","_yoast_wpseo_metadesc":"Additive inverse introduction and general Formula-It is mathematical operation that reverses the effect of addition only on Infinitylearn.com","custom_permalink":"maths\/additive-inverse\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Additive Inverse - Definition, Properties &amp; Examples<\/title>\n<meta name=\"description\" content=\"Additive inverse introduction and general Formula-It is mathematical operation that reverses the effect of addition only on Infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/additive-inverse\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Additive Inverse - 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