{"id":236159,"date":"2025-06-16T05:32:01","date_gmt":"2025-06-16T05:32:01","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=236159"},"modified":"2025-06-16T05:32:04","modified_gmt":"2025-06-16T05:32:04","slug":"solve-for-the-mass-of-3-5-105-cg-sample-in-units-of-kilograms-click-the-answer-you-think-is-right-3-5-x-10kg-3-5-108kg-3-5x-10kg-3-5kg-3-5-10-kg","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/16\/solve-for-the-mass-of-3-5-105-cg-sample-in-units-of-kilograms-click-the-answer-you-think-is-right-3-5-x-10kg-3-5-108kg-3-5x-10kg-3-5kg-3-5-10-kg\/","title":{"rendered":"Solve for the mass of 3.5 105 cg sample In units of kilograms Click the answer you think Is right 3.5 x 10*kg 3.5 * 108kg 3.5x 10″kg 3.5kg 3.5 * 10″ kg"},"content":{"rendered":"\n

Solve for the mass of 3.5 105 cg sample In units of kilograms Click the answer you think Is right 3.5 x 10*kg 3.5 * 108kg 3.5x 10″kg 3.5kg 3.5 * 10″ kg<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve for the mass of a 3.5 \u00d7 10\u2075 centigram (cg)<\/strong> sample in kilograms (kg)<\/strong>, begin by converting centigrams to kilograms using standard metric conversions:<\/p>\n\n\n\n

    \n
  1. Conversion factors<\/strong>:\n
      \n
    • 1 kilogram (kg) = 1,000 grams (g)<\/li>\n\n\n\n
    • 1 gram (g) = 100 centigrams (cg)<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Step-by-step conversion<\/strong>:
      First, convert centigrams to grams<\/strong>: 3.5\u00d7105\u00a0cg\u00f7100=3.5\u00d7103\u00a0g3.5 \\times 10^5\\ \\text{cg} \\div 100 = 3.5 \\times 10^3\\ \\text{g}3.5\u00d7105\u00a0cg\u00f7100=3.5\u00d7103\u00a0g Next, convert grams to kilograms<\/strong>: 3.5\u00d7103\u00a0g\u00f71000=3.5\u00a0kg3.5 \\times 10^3\\ \\text{g} \\div 1000 = 3.5\\ \\text{kg}3.5\u00d7103\u00a0g\u00f71000=3.5\u00a0kg<\/li>\n<\/ol>\n\n\n\n

      Therefore, the mass of the sample is 3.5 kilograms<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Correct answer: 3.5 kg<\/strong><\/p>\n\n\n\n

      \n\n\n\n

      Explanation<\/strong>:<\/p>\n\n\n\n

      This problem involves converting a metric mass unit across different scales. The centigram is a much smaller unit compared to the kilogram. Since 1 kilogram contains 100,000 centigrams (because 1 kg = 1000 g and 1 g = 100 cg, so 1000 \u00d7 100 = 100,000), it becomes essential to apply the correct conversion ratios systematically.<\/p>\n\n\n\n

      By first reducing the value from centigrams to grams, then from grams to kilograms, the calculation becomes more manageable and less prone to error. Understanding this two-step process helps prevent misinterpretation of scientific notation or confusion between metric prefixes.<\/p>\n\n\n\n

      The scientific notation used, 3.5 \u00d7 10\u2075<\/strong>, shows that the number of centigrams is quite large. However, when expressed in kilograms, it simplifies to 3.5<\/strong>, showing how the mass is moderate in size when viewed in a larger unit.<\/p>\n\n\n\n

      No need for approximation in this case; exact unit conversions yield a precise and clear result.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Solve for the mass of 3.5 105 cg sample In units of kilograms Click the answer you think Is right 3.5 x 10*kg 3.5 * 108kg 3.5x 10″kg 3.5kg 3.5 * 10″ kg The Correct Answer and Explanation is: To solve for the mass of a 3.5 \u00d7 10\u2075 centigram (cg) sample in kilograms (kg), […]<\/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-236159","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236159","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=236159"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236159\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=236159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=236159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=236159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}