Solve for the mass of a 3.5 x 10 cg sample in units of kilograms. Click the answer you think is right. 3.5 x 10\u00b0 kg 3.5 x 10\u00b0 kg 3.5 x 10 kg 3.5 kg 3.5 x 10 kg<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n Let’s break this problem down step by step to understand how to solve for the mass in kilograms.<\/p>\n\n\n\n The problem asks us to convert a mass of (3.5 \\times 10^n \\, \\text{cg}) to kilograms. We are given a mass in centigrams (cg) and need to convert that to kilograms (kg).<\/p>\n\n\n\n We are given (3.5 \\times 10^n \\, \\text{cg}), and we need to convert that to kilograms.<\/p>\n\n\n\n Let’s assume the exponent (n) in the given (3.5 \\times 10^n \\, \\text{cg}) is 0 (which is often implied when no specific exponent is given). The calculation becomes: Thus, the correct mass in kilograms is (3.5 \\times 10^{-5} \\, \\text{kg}), which is the equivalent to 0.000035 kg.<\/p>\n\n\n\n Therefore, the correct answer<\/strong> is: Solve for the mass of a 3.5 x 10 cg sample in units of kilograms. Click the answer you think is right. 3.5 x 10\u00b0 kg 3.5 x 10\u00b0 kg 3.5 x 10 kg 3.5 kg 3.5 x 10 kg The Correct Answer and Explanation is : Let’s break this problem down step by step […]<\/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-182918","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182918","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=182918"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182918\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182918"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the conversion factors<\/h3>\n\n\n\n
\n
There are 100 centigrams (cg) in 1 gram (g). So, to convert from centigrams to grams, we divide by 100:
[
1 \\, \\text{g} = 100 \\, \\text{cg} \\quad \\Rightarrow \\quad 1 \\, \\text{cg} = 0.01 \\, \\text{g}
]<\/li>\n\n\n\n
There are 1,000 grams (g) in 1 kilogram (kg). So, to convert from grams to kilograms, we divide by 1,000:
[
1 \\, \\text{kg} = 1,000 \\, \\text{g} \\quad \\Rightarrow \\quad 1 \\, \\text{g} = 0.001 \\, \\text{kg}
]<\/li>\n<\/ol>\n\n\n\nStep 2: Apply the conversion<\/h3>\n\n\n\n
\n
[
3.5 \\times 10^n \\, \\text{cg} \\times 0.01 \\, \\text{g\/cg} = 3.5 \\times 10^n \\times 0.01 \\, \\text{g}
]
This simplifies to:
[
3.5 \\times 10^{n-2} \\, \\text{g}
]<\/li>\n\n\n\n
[
3.5 \\times 10^{n-2} \\, \\text{g} \\times 0.001 \\, \\text{kg\/g} = 3.5 \\times 10^{n-2} \\times 0.001 \\, \\text{kg}
]
This simplifies to:
[
3.5 \\times 10^{n-5} \\, \\text{kg}
]<\/li>\n<\/ol>\n\n\n\nStep 3: Apply to the example<\/h3>\n\n\n\n
[
3.5 \\times 10^0 \\, \\text{cg} = 3.5 \\, \\text{cg}
]
Convert centigrams to grams:
[
3.5 \\, \\text{cg} = 3.5 \\times 0.01 = 0.035 \\, \\text{g}
]
Convert grams to kilograms:
[
0.035 \\, \\text{g} = 0.035 \\times 0.001 = 0.000035 \\, \\text{kg}
]<\/p>\n\n\n\n
[
3.5 \\times 10^{-5} \\, \\text{kg}
]<\/p>\n","protected":false},"excerpt":{"rendered":"