{"id":233117,"date":"2025-06-12T15:09:28","date_gmt":"2025-06-12T15:09:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233117"},"modified":"2025-06-12T15:09:30","modified_gmt":"2025-06-12T15:09:30","slug":"write-71-300-in-scientific-notation-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/write-71-300-in-scientific-notation-2\/","title":{"rendered":"Write 71 300 in scientific notation"},"content":{"rendered":"\n<p>Write 71 300 in scientific notation. A. 7.13 x 10-4 C. 7.13 x 103 B. 7.13 x 10-3 D. 7.13 x 104<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/p>\n\n\n\n<p>The correct answer is: <strong>D. 7.13 \u00d7 10\u2074<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Scientific notation is a way of writing very large or very small numbers in a compact form. It expresses numbers as a product of two factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number greater than or equal to 1 and less than 10 (called the <strong>coefficient<\/strong>)<\/li>\n\n\n\n<li>A power of 10<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand the Number<\/h4>\n\n\n\n<p>We are given the number <strong>71,300<\/strong>. This is a large number, so we want to express it in scientific notation using powers of 10.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Move the Decimal Point<\/h4>\n\n\n\n<p>To convert 71,300 to scientific notation, place a decimal point so that there is only <strong>one non-zero digit to the left<\/strong> of the decimal. For 71,300, that would be: 71,300=7.13\u00d710?71,300 = 7.13 \\times 10^?71,300=7.13\u00d710?<\/p>\n\n\n\n<p>We moved the decimal point <strong>4 places to the left<\/strong> to go from 71,300 to 7.13: 71,300\u21927.1371,300 \u2192 7.1371,300\u21927.13<\/p>\n\n\n\n<p>Each movement of the decimal point to the left corresponds to an <strong>increase in the exponent of 10<\/strong> by 1. Since we moved it 4 times, the exponent is 4.<\/p>\n\n\n\n<p>So, 71,300=7.13\u00d710471,300 = 7.13 \\times 10^471,300=7.13\u00d7104<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Check the Coefficient<\/h4>\n\n\n\n<p>The number 7.13 is between 1 and 10, so it satisfies the rule for scientific notation. The power of 10 is 4, indicating how many times you would multiply 7.13 by 10 to get back to 71,300.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 4: Eliminate Incorrect Options<\/h4>\n\n\n\n<p>Let\u2019s look at the choices:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 7.13 \u00d7 10\u207b\u2074<\/strong> \u2192 This would be a very small number (0.000713), not correct.<\/li>\n\n\n\n<li><strong>B. 7.13 \u00d7 10\u207b\u00b3<\/strong> \u2192 This would be 0.00713, also incorrect.<\/li>\n\n\n\n<li><strong>C. 7.13 \u00d7 10\u00b3<\/strong> \u2192 This equals 7,130, which is too small.<\/li>\n\n\n\n<li><strong>D. 7.13 \u00d7 10\u2074<\/strong> \u2192 This equals 71,300, <strong>correct!<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer: <strong>D. 7.13 \u00d7 10\u2074<\/strong> \u2705<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-187.jpeg\" alt=\"\" class=\"wp-image-233118\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 71 300 in scientific notation. A. 7.13 x 10-4 C. 7.13 x 103 B. 7.13 x 10-3 D. 7.13 x 104 The Correct Answer and Explanation is: The correct answer is: D. 7.13 \u00d7 10\u2074 Explanation: Scientific notation is a way of writing very large or very small numbers in a compact form. It [&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-233117","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233117","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=233117"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233117\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}