\u00f7 3.2 x 10<\/li>\n<\/ol>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-96.png\")
<\/figure>\n\n\n\nHere are the correct answers and a detailed explanation for each problem.<\/p>\n\n\n\n
Correct Answers:<\/strong><\/p>\n\n\n\n Scientific notation is a method for writing very large or very small numbers as a product of a coefficient (a number between 1 and 10) and a power of 10. The process involves converting numbers into this format, performing the calculation, and then ensuring the final answer is also in proper scientific notation.<\/p>\n\n\n\n 1. (400,000)(250,000)<\/strong> 2. (70,000,000)\u00b2<\/strong> 3. (3,500,000) \/ 2,500<\/strong> 4. 0.000014 + 0.0000067<\/strong> 5. 1.28 x 10\u00b2\u2074 \u00f7 3.2 x 10\u2076<\/strong> Evaluate by using a scientific notation and scientific calculator. Write scientific notation. 1. (400 000)(250 000) 2. (70 000 000) Here are the correct answers and a detailed explanation for each problem. Correct Answers: Explanation Scientific notation is a method for writing very large or very small numbers as a product of a coefficient (a […]<\/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-242125","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242125","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=242125"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242125\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Explanation<\/h3>\n\n\n\n
First, we convert both numbers to scientific notation. 400,000 is 4 x 10\u2075 and 250,000 is 2.5 x 10\u2075. To multiply these, we multiply the coefficients (4 \u00d7 2.5 = 10) and add the exponents (5 + 5 = 10). This gives us 10 x 10\u00b9\u2070. Since the coefficient must be less than 10, we adjust it. 10 can be written as 1 x 10\u00b9, so the expression becomes (1 x 10\u00b9) x 10\u00b9\u2070. Adding the new exponents gives the final answer: 1 x 10\u00b9\u00b9<\/strong>.<\/p>\n\n\n\n
We begin by writing 70,000,000 in scientific notation, which is 7 x 10\u2077. To square this number, we square the coefficient (7\u00b2 = 49) and multiply the exponent by 2 (10\u2077)\u00b2 = 10\u00b9\u2074. The result is 49 x 10\u00b9\u2074. We must adjust the coefficient 49 to 4.9 x 10\u00b9. The expression is now (4.9 x 10\u00b9) x 10\u00b9\u2074. Adding the exponents (1 + 14 = 15) gives the final answer: 4.9 x 10\u00b9\u2075<\/strong>.<\/p>\n\n\n\n
Convert the numerator and denominator to scientific notation: 3.5 x 10\u2076 and 2.5 x 10\u00b3. To divide, we divide the coefficients (3.5 \u00f7 2.5 = 1.4) and subtract the exponents (6 – 3 = 3). The result is already in proper scientific notation: 1.4 x 10\u00b3<\/strong>.<\/p>\n\n\n\n
The numbers in scientific notation are 1.4 x 10\u207b\u2075 and 6.7 x 10\u207b\u2076. To add them, their exponents must be the same. Let\u2019s change 6.7 x 10\u207b\u2076 to 0.67 x 10\u207b\u2075. Now we can add the coefficients: 1.4 + 0.67 = 2.07. The exponent remains the same. The answer is 2.07 x 10\u207b\u2075<\/strong>.<\/p>\n\n\n\n
For this division, we divide the coefficients (1.28 \u00f7 3.2 = 0.4) and subtract the exponents (24 – 6 = 18). This gives 0.4 x 10\u00b9\u2078. The coefficient 0.4 is less than 1, so we rewrite it as 4 x 10\u207b\u00b9. The expression becomes (4 x 10\u207b\u00b9) x 10\u00b9\u2078. Adding the exponents (-1 + 18 = 17) results in the final answer:\u00a04 x 10\u00b9\u2077<\/strong><\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-215.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"