{"id":187234,"date":"2025-02-03T09:42:57","date_gmt":"2025-02-03T09:42:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=187234"},"modified":"2025-02-03T09:42:59","modified_gmt":"2025-02-03T09:42:59","slug":"atom-scientific-notation-worksheet-w-313-convert-the-following-numbers-into-scientific-notation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/03\/atom-scientific-notation-worksheet-w-313-convert-the-following-numbers-into-scientific-notation\/","title":{"rendered":"Atom Scientific Notation Worksheet W 313 Convert the following numbers into scientific notation"},"content":{"rendered":"\n

Atom Scientific Notation Worksheet W 313 Convert the following numbers into scientific notation: 1) 923 2) 0.00425 3) 4523000 4) 0.94300 5) 6750. 6) 92.03 7) 7.80 B) 0.00000032 Convert the following numbers into standard notation: 9) 3.92400 x 10 10) 9.2 x 106 11) 4.391 x 10 12) 6.825 x 10- 13) 4.6978 x 10* 14) 8.36 x 10 15) 2.46 x 105 16) 8.8 x 102 Whery Center Stappertsen<\/p>\n\n\n\n

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

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which is particularly useful for representing very large or very small numbers. The general form is ( a \\times 10^n ), where ( 1 \\leq |a| < 10 ) and ( n ) is an integer.<\/p>\n\n\n\n

Converting to Scientific Notation:<\/strong><\/p>\n\n\n\n

    \n
  1. 923<\/strong>: Move the decimal point two places to the left: ( 9.23 \\times 10^2 ).<\/li>\n\n\n\n
  2. 0.00425<\/strong>: Move the decimal point three places to the right: ( 4.25 \\times 10^{-3} ).<\/li>\n\n\n\n
  3. 4,523,000<\/strong>: Move the decimal point six places to the left: ( 4.523 \\times 10^6 ).<\/li>\n\n\n\n
  4. 0.94300<\/strong>: Move the decimal point one place to the right: ( 9.4300 \\times 10^{-1} ).<\/li>\n\n\n\n
  5. 6,750.<\/strong>: Move the decimal point three places to the left: ( 6.750 \\times 10^3 ).<\/li>\n\n\n\n
  6. 92.03<\/strong>: Move the decimal point one place to the left: ( 9.203 \\times 10^1 ).<\/li>\n\n\n\n
  7. 7.80<\/strong>: The number is already between 1 and 10: ( 7.80 \\times 10^0 ).<\/li>\n\n\n\n
  8. 0.00000032<\/strong>: Move the decimal point seven places to the right: ( 3.2 \\times 10^{-7} ).<\/li>\n<\/ol>\n\n\n\n

    Converting to Standard Notation:<\/strong><\/p>\n\n\n\n

      \n
    1. 3.92400 \u00d7 10^5<\/strong>: Move the decimal point five places to the right: 392,400.<\/li>\n\n\n\n
    2. 9.2 \u00d7 10^6<\/strong>: Move the decimal point six places to the right: 9,200,000.<\/li>\n\n\n\n
    3. 4.391 \u00d7 10^-3<\/strong>: Move the decimal point three places to the left: 0.004391.<\/li>\n\n\n\n
    4. 6.825 \u00d7 10^-4<\/strong>: Move the decimal point four places to the left: 0.0006825.<\/li>\n\n\n\n
    5. 4.6978 \u00d7 10^4<\/strong>: Move the decimal point four places to the right: 46,978.<\/li>\n\n\n\n
    6. 8.36 \u00d7 10^1<\/strong>: Move the decimal point one place to the right: 83.6.<\/li>\n\n\n\n
    7. 2.46 \u00d7 10^-5<\/strong>: Move the decimal point five places to the left: 0.0000246.<\/li>\n\n\n\n
    8. 8.8 \u00d7 10^2<\/strong>: Move the decimal point two places to the right: 880.<\/li>\n<\/ol>\n\n\n\n

      In scientific notation, numbers are expressed as a coefficient multiplied by a power of ten. The coefficient is a number greater than or equal to 1 and less than 10, and the exponent indicates how many places the decimal point has been moved. A positive exponent shows the decimal point was moved to the left (indicating a large number), while a negative exponent shows it was moved to the right (indicating a small number). This notation simplifies the representation and calculation of very large or very small numbers, making it easier to read, write, and understand them.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Atom Scientific Notation Worksheet W 313 Convert the following numbers into scientific notation: 1) 923 2) 0.00425 3) 4523000 4) 0.94300 5) 6750. 6) 92.03 7) 7.80 B) 0.00000032 Convert the following numbers into standard notation: 9) 3.92400 x 10 10) 9.2 x 106 11) 4.391 x 10 12) 6.825 x 10- 13) 4.6978 x […]<\/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-187234","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187234","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=187234"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187234\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=187234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=187234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=187234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}