MEASUREMENT <\/p>\n\n\n\n
Interconverting compound SI units Convert the following measurement. g cm kg.m 6 8.1 x 10<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let’s break down your request and clarify what needs to be converted.<\/p>\n\n\n\n You wrote:<\/p>\n\n\n\n “Convert the following measurement. g cm kg.m 6 8.1 x 10”<\/strong><\/p>\n<\/blockquote>\n\n\n\n This seems to be an attempt to convert 8.1 \u00d7 10\u2076 g\u00b7cm<\/strong> into kg\u00b7m<\/strong>.<\/p>\n\n\n\n We are given:<\/p>\n\n\n\n 8.1 \u00d7 10\u2076 g\u00b7cm<\/strong><\/p>\n\n\n\n We want to convert this into:<\/p>\n\n\n\n kg\u00b7m<\/strong><\/p>\n\n\n\n This involves converting grams (g)<\/strong> to kilograms (kg)<\/strong> and centimeters (cm)<\/strong> to meters (m)<\/strong>.<\/p>\n\n\n\n So the conversion becomes: 8.1\u00d7106 g\\cdotpcm\u00d7(1 kg1000 g)\u00d7(1 m100 cm)8.1 \\times 10^6\\ \\text{g\u00b7cm} \\times \\left( \\frac{1\\ \\text{kg}}{1000\\ \\text{g}} \\right) \\times \\left( \\frac{1\\ \\text{m}}{100\\ \\text{cm}} \\right)<\/p>\n\n\n\n Now simplify: =8.1\u00d7106\u00d711000\u00d71100=8.1\u00d7106\u00d71100000=8.1\u00d7106105=8.1\u00d7101=81 kg\\cdotpm= 8.1 \\times 10^6 \\times \\frac{1}{1000} \\times \\frac{1}{100} = 8.1 \\times 10^6 \\times \\frac{1}{100000} = \\frac{8.1 \\times 10^6}{10^5} = 8.1 \\times 10^1 = 81\\ \\text{kg\u00b7m}<\/p>\n\n\n\n 81 kg\u00b7m<\/strong><\/p>\n\n\n\n Interconverting compound SI units involves converting both parts of a unit expression. In this case, the original unit is g\u00b7cm (gram-centimeter)<\/strong>, and we need to convert it to kg\u00b7m (kilogram-meter)<\/strong>. This type of conversion is common in physics and engineering when dealing with quantities like torque or work, which may initially be calculated using different units.<\/p>\n\n\n\n To perform the conversion accurately, we treat each unit independently. The metric system is based on powers of ten, which makes conversions straightforward using multiplication or division.<\/p>\n\n\n\n When both these conversions are applied together, you are dividing the original value by 1000 (for grams) and by 100 (for centimeters), giving a total division by 100,000.<\/p>\n\n\n\n So, for the measurement 8.1 \u00d7 10\u2076 g\u00b7cm<\/strong>, we convert it by dividing by 100,000, resulting in 81 kg\u00b7m<\/strong>.<\/p>\n\n\n\n Understanding how to interconvert compound SI units is important because scientific and technical fields often require standard units for clear communication and accurate calculations. By following a systematic approach and using conversion factors correctly, you ensure consistency and precision in your results.<\/p>\n","protected":false},"excerpt":{"rendered":" MEASUREMENT Interconverting compound SI units Convert the following measurement. g cm kg.m 6 8.1 x 10 The Correct Answer and Explanation is: Let’s break down your request and clarify what needs to be converted. You wrote: “Convert the following measurement. g cm kg.m 6 8.1 x 10” This seems to be an attempt to convert […]<\/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-216367","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216367","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=216367"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216367\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=216367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=216367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=216367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
\n\n\n\n\u2705 Step-by-Step Conversion:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd01 Unit Conversion Factors:<\/h3>\n\n\n\n
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\n\n\n\n\u2705 Final Answer:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (300+ words):<\/h3>\n\n\n\n
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