{"id":152186,"date":"2024-10-10T19:40:58","date_gmt":"2024-10-10T19:40:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=152186"},"modified":"2024-10-10T19:41:00","modified_gmt":"2024-10-10T19:41:00","slug":"how-do-you-write-this-in-scientific-notation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/10\/how-do-you-write-this-in-scientific-notation\/","title":{"rendered":"How do you write this in scientific notation"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">How do you write this in scientific notation?<br>52 thousandths<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Scientific Notation of 52 Thousandths<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The value of 52 thousandths is ( 0.052 ). To express this in scientific notation, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the decimal form<\/strong>: The number is ( 0.052 ).<\/li>\n\n\n\n<li><strong>Move the decimal point<\/strong>: In scientific notation, we represent numbers as ( a \\times 10^n ), where ( a ) is a number between 1 and 10, and ( n ) is an integer. For ( 0.052 ), the decimal needs to be moved two places to the right to give a value between 1 and 10: ( 5.2 ).<\/li>\n\n\n\n<li><strong>Adjust the exponent<\/strong>: Since the decimal point was moved two places to the right, the exponent will be negative. Thus, ( 0.052 ) becomes ( 5.2 \\times 10^{-2} ).<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, ( 0.052 ) in scientific notation is written as:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[<br>5.2 \\times 10^{-2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Scientific notation is a method used to express very large or very small numbers in a concise and standardized form. It simplifies working with such numbers in mathematics, science, and engineering. The number is expressed as ( a \\times 10^n ), where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( a ) is a coefficient between 1 and 10.<\/li>\n\n\n\n<li>( n ) is an integer, which indicates how many places the decimal point has been moved.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In the case of ( 0.052 ), the number is less than 1, so the decimal point needs to be shifted to the right to make the coefficient ( 5.2 ). Since moving the decimal right indicates a fraction (less than 1), the exponent is negative, showing how many places the decimal was shifted.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Scientific notation allows for easier calculations, particularly when multiplying or dividing large or small numbers, because the powers of 10 can be handled algebraically while the coefficients are manipulated separately.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How do you write this in scientific notation?52 thousandths The Correct Answer and Explanation is : Scientific Notation of 52 Thousandths The value of 52 thousandths is ( 0.052 ). To express this in scientific notation, follow these steps: Therefore, ( 0.052 ) in scientific notation is written as: [5.2 \\times 10^{-2}] Explanation Scientific notation [&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-152186","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152186","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=152186"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152186\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=152186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=152186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=152186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}