{"id":158879,"date":"2024-10-30T19:14:40","date_gmt":"2024-10-30T19:14:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=158879"},"modified":"2024-10-30T19:14:43","modified_gmt":"2024-10-30T19:14:43","slug":"what-does-5-2x10-7-represent-on-a-calculator","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/30\/what-does-5-2x10-7-represent-on-a-calculator\/","title":{"rendered":"What does 5.2\u00d710^-7 represent on a calculator"},"content":{"rendered":"\n

What does 5.2\u00d710^-7 represent on a calculator?
A. \u22125.20000000 B. \u221252,000,000 C. 0.000000052 D. 0.00000052<\/p>\n\n\n\n

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

The expression (5.2 \\times 10^{-7}) is in scientific notation, which is commonly used in mathematics and science to represent very small or very large numbers in a more manageable format. In scientific notation, the number is expressed as a product of a coefficient (in this case, 5.2) and a power of ten (here, (10^{-7})).<\/p>\n\n\n\n

To convert (5.2 \\times 10^{-7}) into standard decimal form, we need to understand what (10^{-7}) signifies. The exponent (-7) indicates that we are moving the decimal point in the coefficient (5.2) seven places to the left.<\/p>\n\n\n\n

    \n
  1. Starting with 5.2<\/strong>, if we visualize it as 5.2000000<\/strong>, we can move the decimal point left:<\/li>\n<\/ol>\n\n\n\n
      \n
    • Move 1: 0.52 (1 place)<\/li>\n\n\n\n
    • Move 2: 0.052 (2 places)<\/li>\n\n\n\n
    • Move 3: 0.0052 (3 places)<\/li>\n\n\n\n
    • Move 4: 0.00052 (4 places)<\/li>\n\n\n\n
    • Move 5: 0.000052 (5 places)<\/li>\n\n\n\n
    • Move 6: 0.0000052 (6 places)<\/li>\n\n\n\n
    • Move 7: 0.00000052 (7 places)<\/li>\n<\/ul>\n\n\n\n

      Thus, when we move the decimal point seven places to the left, we arrive at 0.00000052<\/strong>.<\/p>\n\n\n\n

      Now, let\u2019s look at the provided options:<\/p>\n\n\n\n

        \n
      • A. \u22125.20000000<\/strong>: This is a negative number and incorrect.<\/li>\n\n\n\n
      • B. \u221252,000,000<\/strong>: This is also negative and incorrect.<\/li>\n\n\n\n
      • C. 0.000000052<\/strong>: This has too many zeros; it is incorrect.<\/li>\n\n\n\n
      • D. 0.00000052<\/strong>: This is the correct decimal representation of (5.2 \\times 10^{-7}).<\/li>\n<\/ul>\n\n\n\n

        Therefore, the correct answer is D. 0.00000052<\/strong>.<\/p>\n\n\n\n

        Using scientific notation allows for clarity and ease of use, especially when dealing with extremely small or large numbers, making calculations and comparisons more straightforward.<\/p>\n","protected":false},"excerpt":{"rendered":"

        What does 5.2\u00d710^-7 represent on a calculator?A. \u22125.20000000 B. \u221252,000,000 C. 0.000000052 D. 0.00000052 The Correct Answer and Explanation is: The expression (5.2 \\times 10^{-7}) is in scientific notation, which is commonly used in mathematics and science to represent very small or very large numbers in a more manageable format. In scientific notation, the number […]<\/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-158879","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158879","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=158879"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158879\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158879"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158879"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}