{"id":37594,"date":"2025-06-26T03:00:41","date_gmt":"2025-06-26T03:00:41","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37594"},"modified":"2025-06-26T03:00:42","modified_gmt":"2025-06-26T03:00:42","slug":"what-is-the-additive-inverse-of-7-a-7-b","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-additive-inverse-of-7-a-7-b\/","title":{"rendered":"What is the additive inverse of -7? A. -7 B."},"content":{"rendered":"\n<p>What is the additive inverse of -7? A. -7 B.<\/p>\n\n\n\n<p>C.<\/p>\n\n\n\n<p>D. 7<\/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: D. 7<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The <strong>additive inverse<\/strong> of a number is a value that, when added to the original number, gives a sum of <strong>zero<\/strong>. In other words, the additive inverse of a number &#8220;x&#8221; is the number &#8220;\u2013x&#8221; such that:x+(\u2013x)=0x + (\u2013x) = 0x+(\u2013x)=0<\/p>\n\n\n\n<p>In this case, the number given is <strong>\u20137<\/strong>. To find its additive inverse, we ask:\u20137+?=0\u20137 + ? = 0\u20137+?=0<\/p>\n\n\n\n<p>The number that satisfies this equation is <strong>+7<\/strong> because:\u20137+7=0\u20137 + 7 = 0\u20137+7=0<\/p>\n\n\n\n<p>Therefore, the <strong>additive inverse of \u20137 is 7<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why this concept is important:<\/h3>\n\n\n\n<p>Understanding additive inverses is a foundational concept in algebra and arithmetic. It is closely tied to the <strong>properties of integers<\/strong> and helps in solving equations, simplifying expressions, and understanding symmetry on the number line.<\/p>\n\n\n\n<p>The number line is an effective visual tool for understanding this idea. If you move seven units to the left of zero (\u20137), then move seven units to the right (+7), you return to zero. The numbers \u20137 and 7 are located at equal distances from zero but in opposite directions. This is what makes them <strong>additive inverses<\/strong> of each other.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Real-world example:<\/h3>\n\n\n\n<p>Imagine a situation in which your bank account is overdrawn by $7, meaning you have \u2013$7. If someone deposits $7 into your account, your balance becomes zero. The $7 deposit cancels out the \u2013$7 debt. That deposit represents the additive inverse of \u20137.<\/p>\n\n\n\n<p>In mathematics, every number has an additive inverse. Zero is the only number that is its own additive inverse because:0+0=00 + 0 = 00+0=0<\/p>\n\n\n\n<p>This concept is part of the <strong>properties of real numbers<\/strong> and is used extensively in algebraic problem solving.<\/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-banner8-927.jpeg\" alt=\"\" class=\"wp-image-37595\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-927.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-927-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-927-768x923.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. C. D. 7 The Correct Answer and Explanation is: Correct Answer: D. 7 Explanation: The additive inverse of a number is a value that, when added to the original number, gives a sum of zero. In other words, the additive inverse of a number &#8220;x&#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-37594","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37594","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=37594"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37594\/revisions"}],"predecessor-version":[{"id":37596,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37594\/revisions\/37596"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37594"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37594"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37594"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}