{"id":225413,"date":"2025-06-04T08:05:48","date_gmt":"2025-06-04T08:05:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225413"},"modified":"2025-06-04T08:05:50","modified_gmt":"2025-06-04T08:05:50","slug":"what-is-13-8-billion-expressed-as-10-to-the-power-of-something","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/what-is-13-8-billion-expressed-as-10-to-the-power-of-something\/","title":{"rendered":"what is 13.8 billion expressed as 10 to the power of something"},"content":{"rendered":"\n<p>what is 13.8 billion expressed as 10 to the power of something<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>13.8 billion expressed as a power of 10 is:<\/p>\n\n\n\n<p><strong>1.38 \u00d7 10\u00b9\u2070<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To express 13.8 billion as a power of 10, we need to understand both the numeric value of 13.8 billion and the concept of scientific notation.<\/p>\n\n\n\n<p><strong>Step 1: What is 13.8 billion as a number?<\/strong><\/p>\n\n\n\n<p>The term <em>billion<\/em> in the U.S. system (short scale) means <strong>1,000,000,000<\/strong>, or <strong>10\u2079<\/strong>. Therefore:<\/p>\n\n\n\n<p>13.8 billion = 13.8 \u00d7 1,000,000,000 = 13,800,000,000<\/p>\n\n\n\n<p><strong>Step 2: Expressing in scientific notation<\/strong><\/p>\n\n\n\n<p>Scientific notation is a way of writing very large (or very small) numbers compactly, in the form:<\/p>\n\n\n\n<p><strong>a \u00d7 10\u207f<\/strong>,<br>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>a<\/strong> is a number between 1 and 10 (called the <em>coefficient<\/em>),<\/li>\n\n\n\n<li><strong>n<\/strong> is an integer (positive for large numbers, negative for small ones).<\/li>\n<\/ul>\n\n\n\n<p>Now, to express 13,800,000,000 in this format, we move the decimal point to the left until there is only one non-zero digit to its left. In this case, moving the decimal point 10 places gives:<\/p>\n\n\n\n<p>13,800,000,000 \u2192 1.38 \u00d7 10\u00b9\u2070<\/p>\n\n\n\n<p><strong>Step 3: Why 10 places?<\/strong><\/p>\n\n\n\n<p>Starting with 13.8 billion:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write as 13,800,000,000<\/li>\n\n\n\n<li>Count how many places you move the decimal point (from after the last zero) to make the number between 1 and 10:<br>Move decimal left 10 places:<br>13,800,000,000 \u2192 1.38<\/li>\n<\/ul>\n\n\n\n<p>That\u2019s why the exponent is <strong>10<\/strong>.<\/p>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>So, 13.8 billion = <strong>1.38 \u00d7 10\u00b9\u2070<\/strong>.<br>This notation is especially useful in science and engineering for handling very large values like the estimated age of the universe (which is about 13.8 billion years).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner7-161.jpeg\" alt=\"\" class=\"wp-image-225414\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is 13.8 billion expressed as 10 to the power of something The Correct Answer and Explanation is: Answer: 13.8 billion expressed as a power of 10 is: 1.38 \u00d7 10\u00b9\u2070 Explanation To express 13.8 billion as a power of 10, we need to understand both the numeric value of 13.8 billion and the concept [&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 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