{"id":37004,"date":"2025-06-25T11:18:12","date_gmt":"2025-06-25T11:18:12","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37004"},"modified":"2025-06-25T11:18:13","modified_gmt":"2025-06-25T11:18:13","slug":"write-each-number-in-scientific-notation-2","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-each-number-in-scientific-notation-2\/","title":{"rendered":"Write each number in scientific notation"},"content":{"rendered":"\n<p>Write each number in scientific notation. a) 513.4 billion b) 27.237 trillion c) 52 billionths<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"389\" height=\"229\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-322.png\" alt=\"\" class=\"wp-image-37005\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-322.png 389w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-322-300x177.png 300w\" sizes=\"auto, (max-width: 389px) 100vw, 389px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>a) 513.4 billion = <strong>5.134 \u00d7 10\u00b9\u00b9<\/strong> b) 27.237 trillion = <strong>2.7237 \u00d7 10\u00b9\u00b3<\/strong> c) 52 billionths = <strong>5.2 \u00d7 10\u207b\u2078<\/strong><\/p>\n\n\n\n<p>Now here&#8217;s your explanation:<\/p>\n\n\n\n<p>Scientific notation is a standardized method of expressing numbers that are exceptionally large or incredibly small. It takes the form <em>a \u00d7 10\u207f<\/em>, where <em>a<\/em> is a number equal to or greater than 1 but less than 10, and <em>n<\/em> is an integer that shows how many places the decimal point has been moved.<\/p>\n\n\n\n<p>Let&#8217;s start with part (a). The term \u201cbillion\u201d in the short scale system is equal to 10\u2079. Therefore, 513.4 billion is 513.4 \u00d7 10\u2079. To put this in scientific notation, shift the decimal point two places to the left, giving 5.134. Since you moved the decimal two places, you increase the exponent by 2, resulting in 5.134 \u00d7 10\u00b9\u00b9.<\/p>\n\n\n\n<p>In part (b), 27.237 trillion is equivalent to 27.237 \u00d7 10\u00b9\u00b2, since a trillion is 10\u00b9\u00b2. To rewrite 27.237 in proper scientific form, shift the decimal one place to the left to get 2.7237. To balance that, increase the exponent by 1, leading to 2.7237 \u00d7 10\u00b9\u00b3.<\/p>\n\n\n\n<p>Finally, part (c) deals with a very small number. \u201cBillionths\u201d means parts per billion, or 10\u207b\u2079. So 52 billionths becomes 52 \u00d7 10\u207b\u2079. Adjust 52 to 5.2, which moves the decimal one place to the left. Compensate by increasing the exponent negatively, yielding 5.2 \u00d7 10\u207b\u2078.<\/p>\n\n\n\n<p>Scientific notation simplifies comparisons and calculations involving extreme values. It makes data more manageable, especially in fields like physics, chemistry, astronomy, and engineering.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-838.jpeg\" alt=\"\" class=\"wp-image-37006\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-838.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-838-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-838-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write each number in scientific notation. a) 513.4 billion b) 27.237 trillion c) 52 billionths The Correct Answer and Explanation is: a) 513.4 billion = 5.134 \u00d7 10\u00b9\u00b9 b) 27.237 trillion = 2.7237 \u00d7 10\u00b9\u00b3 c) 52 billionths = 5.2 \u00d7 10\u207b\u2078 Now here&#8217;s your explanation: Scientific notation is a standardized method of expressing numbers [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37004","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=37004"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37004\/revisions"}],"predecessor-version":[{"id":37007,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37004\/revisions\/37007"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}