{"id":235302,"date":"2025-06-15T05:04:56","date_gmt":"2025-06-15T05:04:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235302"},"modified":"2025-06-15T05:04:58","modified_gmt":"2025-06-15T05:04:58","slug":"convert-the-following-numbers-into-standard-notation-12","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/convert-the-following-numbers-into-standard-notation-12\/","title":{"rendered":"Convert the following numbers into standard notation: 12"},"content":{"rendered":"\n

Convert the following numbers into standard notation: 12) 8.65 x 10-1 13) 9.11 x 103 14) 5.40 x 101 15) 1.76 x 100 16) 7.4 x 10-5<\/p>\n\n\n\n

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

Answers in Standard Notation:<\/strong><\/p>\n\n\n\n

    \n
  1. 8.65 \u00d7 10\u207b\u00b9 = 0.865<\/strong><\/li>\n\n\n\n
  2. 9.11 \u00d7 10\u00b3 = 9110<\/strong><\/li>\n\n\n\n
  3. 5.40 \u00d7 10\u00b9 = 54.0<\/strong><\/li>\n\n\n\n
  4. 1.76 \u00d7 10\u2070 = 1.76<\/strong><\/li>\n\n\n\n
  5. 7.4 \u00d7 10\u207b\u2075 = 0.000074<\/strong><\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Explanation<\/strong><\/p>\n\n\n\n

    Scientific notation expresses very large or very small numbers using powers of ten. Converting from scientific to standard notation involves moving the decimal point based on the exponent.<\/p>\n\n\n\n

    A positive exponent on 10 means the decimal moves to the right. For example, in 9.11 \u00d7 10\u00b3, the exponent is 3. This indicates moving the decimal three places to the right, turning 9.11 into 9110.<\/p>\n\n\n\n

    A negative exponent on 10 signals a move to the left. In 8.65 \u00d7 10\u207b\u00b9, the exponent is \u20131, so the decimal shifts one position to the left, producing 0.865.<\/p>\n\n\n\n

    The number 5.40 \u00d7 10\u00b9 has an exponent of 1, shifting the decimal one place to the right. The result is 54.0, where the trailing zero shows that the tenths place holds value.<\/p>\n\n\n\n

    In 1.76 \u00d7 10\u2070, the exponent is 0. Any number to the power of zero equals 1, so the decimal remains unchanged. Thus, the number stays as 1.76.<\/p>\n\n\n\n

    For 7.4 \u00d7 10\u207b\u2075, the exponent of \u20135 requires the decimal to move five positions to the left. Zeros are used to fill in the empty places: starting with 7.4, the result becomes 0.000074.<\/p>\n\n\n\n

    This process relies on understanding place value. Positive exponents expand numbers by increasing place value, while negative exponents shrink them, making them fractions of 1. Scientific notation offers a concise way to handle extreme values, especially useful in scientific and engineering calculations where precision and readability are key.<\/p>\n\n\n\n

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

    Convert the following numbers into standard notation: 12) 8.65 x 10-1 13) 9.11 x 103 14) 5.40 x 101 15) 1.76 x 100 16) 7.4 x 10-5 The Correct Answer and Explanation is: Answers in Standard Notation: Explanation Scientific notation expresses very large or very small numbers using powers of ten. Converting from scientific to […]<\/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-235302","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235302","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=235302"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235302\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}