{"id":163445,"date":"2024-11-08T20:08:56","date_gmt":"2024-11-08T20:08:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163445"},"modified":"2024-11-08T20:08:58","modified_gmt":"2024-11-08T20:08:58","slug":"write-the-number-340000-in-scientific-notation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/08\/write-the-number-340000-in-scientific-notation\/","title":{"rendered":"Write the number 340,000 in scientific notation."},"content":{"rendered":"\n<p>Write the number 340,000 in scientific notation.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The number 340,000 can be written in scientific notation as:<\/p>\n\n\n\n<p><strong>3.4 \u00d7 10\u2075<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Scientific notation is a way of expressing very large or very small numbers more compactly, using powers of 10. The general format of scientific notation is:<\/p>\n\n\n\n<p><strong>a \u00d7 10\u207f<\/strong><\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>a<\/strong> is a number between 1 and 10 (including 1 but less than 10).<\/li>\n\n\n\n<li><strong>n<\/strong> is an integer that represents the power of 10.<\/li>\n<\/ul>\n\n\n\n<p>To convert the number 340,000 into scientific notation, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Move the decimal point<\/strong>:<br>The first step is to locate the decimal point in the original number. For 340,000, the decimal point is at the end of the number, after the last zero: <strong>340,000.<\/strong>.<\/li>\n\n\n\n<li><strong>Position the decimal point<\/strong>:<br>Next, you want to move the decimal point so that it is placed after the first non-zero digit. In this case, the first non-zero digit is <strong>3<\/strong>, so you move the decimal point after the <strong>3<\/strong>, creating the number <strong>3.4<\/strong>.<\/li>\n\n\n\n<li><strong>Count the number of places the decimal point moved<\/strong>:<br>The decimal point was moved 5 places to the left: from 340,000 to 3.4. This means the exponent of 10 will be <strong>5<\/strong> (since the decimal point moved five places to the left).<\/li>\n\n\n\n<li><strong>Write the scientific notation<\/strong>:<br>Now that we have the number <strong>3.4<\/strong>, and the decimal point was moved 5 places, the scientific notation for 340,000 is <strong>3.4 \u00d7 10\u2075<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>In summary:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>coefficient<\/strong> (the number between 1 and 10) is <strong>3.4<\/strong>.<\/li>\n\n\n\n<li>The <strong>exponent<\/strong> (the power of 10) is <strong>5<\/strong> because the decimal point was moved 5 places to the left.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>340,000<\/strong> in scientific notation is <strong>3.4 \u00d7 10\u2075<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the number 340,000 in scientific notation. The Correct Answer and Explanation is: The number 340,000 can be written in scientific notation as: 3.4 \u00d7 10\u2075 Explanation: Scientific notation is a way of expressing very large or very small numbers more compactly, using powers of 10. The general format of scientific notation is: a \u00d7 [&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-163445","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163445","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=163445"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163445\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}