{"id":37590,"date":"2025-06-26T02:58:09","date_gmt":"2025-06-26T02:58:09","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37590"},"modified":"2025-06-26T02:58:10","modified_gmt":"2025-06-26T02:58:10","slug":"what-is-the-additive-inverse-of-7","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-additive-inverse-of-7\/","title":{"rendered":"What is the additive inverse of 7"},"content":{"rendered":"\n<p>What is the additive inverse of 7? a) 7 b) \u2013 7 c) 0 d) 1<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br><strong>b) \u20137<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The <strong>additive inverse<\/strong> of a number is the value that, when added to the original number, results in <strong>zero<\/strong>. In simple terms, the additive inverse of a number &#8220;undoes&#8221; the effect of that number in addition.<\/p>\n\n\n\n<p>To find the additive inverse of <strong>7<\/strong>, you need a number that when <strong>added to 7<\/strong> gives <strong>0<\/strong>: 7+(?)=07 + (\\text{?}) = 07+(?)=0<\/p>\n\n\n\n<p>Solving for the unknown value, subtract 7 from both sides: ?=0\u22127=\u22127\\text{?} = 0 &#8211; 7 = -7?=0\u22127=\u22127<\/p>\n\n\n\n<p>Therefore, <strong>\u20137 is the additive inverse of 7<\/strong>, because: 7+(\u20137)=07 + (\u20137) = 07+(\u20137)=0<\/p>\n\n\n\n<p>This property holds true for all real numbers. For any number &#8220;a&#8221;, the additive inverse is &#8220;\u2013a&#8221;. It is one of the key properties of addition in arithmetic and algebra. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The additive inverse of 3 is \u20133<\/li>\n\n\n\n<li>The additive inverse of \u20135 is 5<\/li>\n\n\n\n<li>The additive inverse of 0 is 0<\/li>\n<\/ul>\n\n\n\n<p>This property is important in solving equations, especially when isolating variables. If you are trying to eliminate a term from one side of an equation, you can add its additive inverse to both sides. This balances the equation and simplifies solving.<\/p>\n\n\n\n<p>Also, note that the additive inverse is different from the <strong>multiplicative inverse<\/strong>, which involves reciprocals (for example, the multiplicative inverse of 7 is 1\u20447 because 7 \u00d7 1\u20447 = 1).<\/p>\n\n\n\n<p>Among the choices given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 7 is the number itself, not its inverse<\/li>\n\n\n\n<li>b) \u20137 is correct<\/li>\n\n\n\n<li>c) 0 is neutral, not the inverse of 7<\/li>\n\n\n\n<li>d) 1 is the multiplicative identity, not the additive inverse<\/li>\n<\/ul>\n\n\n\n<p><strong>Final answer: b) \u20137<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-926.jpeg\" alt=\"\" class=\"wp-image-37591\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-926.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-926-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-926-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the additive inverse of 7? a) 7 b) \u2013 7 c) 0 d) 1 The Correct Answer and Explanation is: Correct Answer:b) \u20137 Explanation: The additive inverse of a number is the value that, when added to the original number, results in zero. In simple terms, the additive inverse of a number &#8220;undoes&#8221; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37590","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37590","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=37590"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37590\/revisions"}],"predecessor-version":[{"id":37592,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37590\/revisions\/37592"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37590"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37590"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}