{"id":233114,"date":"2025-06-12T15:06:37","date_gmt":"2025-06-12T15:06:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233114"},"modified":"2025-06-12T15:06:39","modified_gmt":"2025-06-12T15:06:39","slug":"write-71-300-in-scientific-notation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/write-71-300-in-scientific-notation\/","title":{"rendered":"Write 71 300 in scientific notation."},"content":{"rendered":"\n

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

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: D. 7.13 \u00d7 10\u2074<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation: Writing 71,300 in Scientific Notation<\/strong><\/h3>\n\n\n\n

Scientific notation is a way of expressing very large or very small numbers in a more concise and manageable form. It is written as:a\u00d710na \\times 10^na\u00d710n<\/p>\n\n\n\n

Where:<\/p>\n\n\n\n

    \n
  • aaa is a number greater than or equal to 1 and less than 10.<\/li>\n\n\n\n
  • nnn is an integer that tells us how many times to multiply or divide by 10.<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Step-by-Step Process for 71,300<\/strong><\/h3>\n\n\n\n
      \n
    1. Place the Decimal:<\/strong>
      To write 71,300 in scientific notation, we first convert it into a number between 1 and 10.
      Move the decimal point in 71,300<\/strong> to the left until only one non-zero digit remains to the left of the decimal. 71,300=7.13\u00d710?71,300 = 7.13 \\times 10^?71,300=7.13\u00d710?<\/li>\n\n\n\n
    2. Count the Decimal Places:<\/strong>
      Count how many places you moved the decimal to get from 71,300<\/strong> to 7.13<\/strong>.
      • The original number is 71,300.0<\/strong><\/li>
      • The decimal moves 4 places<\/strong> to the left:
        • From after the second zero \u2192 between 7 and 1<\/li><\/ul><\/li><\/ul>71,300\u21927.13=moved\u00a04\u00a0places71,300 \\rightarrow 7.13 = \\text{moved 4 places}71,300\u21927.13=moved\u00a04\u00a0places<\/li>\n\n\n\n
        • Write the Exponent:<\/strong>
          Since we moved the decimal 4 places to the left<\/strong>, the exponent is +4<\/strong>. (Positive exponent means the original number was large.)<\/li>\n\n\n\n
        • Final Answer in Scientific Notation:<\/strong> 71,300=7.13\u00d710471,300 = 7.13 \\times 10^471,300=7.13\u00d7104<\/li>\n<\/ol>\n\n\n\n
          \n\n\n\n

          Common Mistakes to Avoid<\/strong><\/h3>\n\n\n\n
            \n
          • Negative exponents<\/strong> are only used for numbers less than 1<\/strong> (e.g., 0.00713).<\/li>\n\n\n\n
          • Don\u2019t forget to adjust the exponent according to how many places the decimal point moves.<\/li>\n\n\n\n
          • Always ensure the number aaa is between 1 and 10.<\/li>\n<\/ul>\n\n\n\n
            \n\n\n\n

            Answer Recap<\/strong><\/h3>\n\n\n\n

            \u2705 Correct Answer: D. 7.13 \u00d7 10\u2074<\/strong><\/p>\n\n\n\n

            \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

            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: Correct Answer: D. 7.13 \u00d7 10\u2074 Explanation: Writing 71,300 in Scientific Notation Scientific notation is a way of expressing very large or very small numbers in a […]<\/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-233114","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233114","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=233114"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233114\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}