{"id":235353,"date":"2025-06-15T05:41:11","date_gmt":"2025-06-15T05:41:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235353"},"modified":"2025-06-15T05:41:13","modified_gmt":"2025-06-15T05:41:13","slug":"convert-4-5-x-104-6-45-x-105-to-decimal-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/convert-4-5-x-104-6-45-x-105-to-decimal-form\/","title":{"rendered":"Convert 4.5 x 104+ 6.45 x 105 to decimal form"},"content":{"rendered":"\n<p>Convert 4.5 x 104+ 6.45 x 105 to decimal form<\/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>Correct Answer:<\/strong><br>4.5 \u00d7 10\u2074 = 45,000<br>6.45 \u00d7 10\u2075 = 645,000<br><strong>Total:<\/strong> 45,000 + 645,000 = <strong>690,000<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><br>To convert numbers expressed in scientific notation into decimal form, each coefficient is multiplied by a power of ten. The exponent on the ten determines how many places the decimal point moves.<\/p>\n\n\n\n<p>For the first number, 4.5 \u00d7 10\u2074, the exponent is 4. This means the decimal point in 4.5 must shift four positions to the right. Moving the point turns 4.5 into 45,000. This can be thought of as adding four zeros to shift the digits accordingly:<br>4.5 \u2192 45.0 \u2192 450.0 \u2192 4,500.0 \u2192 <strong>45,000<\/strong><\/p>\n\n\n\n<p>Next, 6.45 \u00d7 10\u2075 has an exponent of 5, indicating the decimal point in 6.45 must move five places to the right. This gives:<br>6.45 \u2192 64.5 \u2192 645.0 \u2192 6,450.0 \u2192 64,500.0 \u2192 <strong>645,000<\/strong><\/p>\n\n\n\n<p>After converting both numbers to decimal form, addition becomes straightforward. Start with 45,000 and add 645,000. Adding these yields:<br>645,000 + 45,000 = <strong>690,000<\/strong><\/p>\n\n\n\n<p>Scientific notation is often used to simplify the expression of very large or very small numbers. It allows easier manipulation during multiplication or division, especially in scientific or engineering contexts. However, when the goal involves basic arithmetic such as addition or subtraction, converting to decimal form avoids confusion and aligns digits based on place value.<\/p>\n\n\n\n<p>Decimal form also offers clarity when presenting final answers in real-world applications like finances, measurements, or population figures. Maintaining place value integrity is essential during such conversions and calculations, especially when exponents differ.<\/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-banner5-594.jpeg\" alt=\"\" class=\"wp-image-235354\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert 4.5 x 104+ 6.45 x 105 to decimal form The Correct Answer and Explanation is: Correct Answer:4.5 \u00d7 10\u2074 = 45,0006.45 \u00d7 10\u2075 = 645,000Total: 45,000 + 645,000 = 690,000 Explanation:To convert numbers expressed in scientific notation into decimal form, each coefficient is multiplied by a power of ten. The exponent on the ten [&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-235353","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235353","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=235353"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235353\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235353"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235353"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235353"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}