{"id":260205,"date":"2025-07-19T09:40:28","date_gmt":"2025-07-19T09:40:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=260205"},"modified":"2025-07-19T09:40:31","modified_gmt":"2025-07-19T09:40:31","slug":"what-is-the-additive-identity-of-the-complex-number-14-5i","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/what-is-the-additive-identity-of-the-complex-number-14-5i\/","title":{"rendered":"What is the additive identity of the complex number 14 + 5i"},"content":{"rendered":"\n<p>What is the additive identity of the complex number 14 + 5i?<\/p>\n\n\n\n<p>A) 14 \u2013 5i <\/p>\n\n\n\n<p>B) 0 <\/p>\n\n\n\n<p>C) 1 <\/p>\n\n\n\n<p>D) \u201314 \u2013 5i<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>B) 0<\/strong>.<\/p>\n\n\n\n<p>In the context of complex numbers, the additive identity is the number that, when added to any complex number, leaves that complex number unchanged. This number is 0 in the complex number system.<\/p>\n\n\n\n<p>A complex number consists of two parts: a real part and an imaginary part. The given complex number is <strong>14 + 5i<\/strong>, where 14 is the real part and 5i is the imaginary part. The additive identity for complex numbers is the number <strong>0 + 0i<\/strong>, which means the real part is 0, and the imaginary part is also 0.<\/p>\n\n\n\n<p>When you add 0 + 0i to any complex number, the result is the original complex number itself. For example:<\/p>\n\n\n\n<p>(14 + 5i) + (0 + 0i) = 14 + 5i<\/p>\n\n\n\n<p>This operation shows that adding the additive identity (0) to a complex number does not change the number.<\/p>\n\n\n\n<p>Looking at the other options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A) 14 \u2013 5i<\/strong> is not the additive identity because adding it to the original complex number would change the real and imaginary parts, resulting in a new number, not the original one.<\/li>\n\n\n\n<li><strong>C) 1<\/strong> is not the additive identity, because adding 1 to a complex number would change its real part, and it is not a valid additive identity for complex numbers.<\/li>\n\n\n\n<li><strong>D) \u201314 \u2013 5i<\/strong> is also incorrect, as adding this number would drastically change both the real and imaginary parts of the original number.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the additive identity for any complex number is always <strong>0<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the additive identity of the complex number 14 + 5i? A) 14 \u2013 5i B) 0 C) 1 D) \u201314 \u2013 5i The correct answer and explanation is: The correct answer is B) 0. In the context of complex numbers, the additive identity is the number that, when added to any complex number, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-260205","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=260205"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260205\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}