how many grams are in a 2.5 pound sample? express your answer in scientific notation with three significant figures. (1 pound=453.592 grams) 2.27×10^3 g, 2.26×10^2g, 2.3×10^3 g, 1.13×10^3 g<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert 2.5 pounds to grams, we will use the conversion factor where 1 pound = 453.592 grams.<\/p>\n\n\n\n Given that:<\/p>\n\n\n\n [ We can calculate the weight in grams for a 2.5-pound sample:<\/p>\n\n\n\n [ To express the result in scientific notation with three significant figures, we round 1133.98 grams to three significant figures, which gives:<\/p>\n\n\n\n [ Now, express this in scientific notation:<\/p>\n\n\n\n [ Thus, the correct answer is 1.13 x 10^3 g<\/strong>.<\/p>\n\n\n\n Scientific notation is a way of expressing numbers that are too large or too small in a more compact form. It involves expressing a number as a product of a number between 1 and 10 and a power of 10. The number of significant figures indicates the precision of the value. In this case, we used three significant figures to match the precision of the original problem.<\/p>\n\n\n\n The steps are as follows:<\/p>\n\n\n\n By following these steps, the correct result is obtained, which in this case is 1.13 x 10^3 grams<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" how many grams are in a 2.5 pound sample? express your answer in scientific notation with three significant figures. (1 pound=453.592 grams) 2.27×10^3 g, 2.26×10^2g, 2.3×10^3 g, 1.13×10^3 g The Correct Answer and Explanation is : To convert 2.5 pounds to grams, we will use the conversion factor where 1 pound = 453.592 grams. 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-162916","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162916","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=162916"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162916\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert pounds to grams<\/h3>\n\n\n\n
1 \\text{ pound} = 453.592 \\text{ grams}
]<\/p>\n\n\n\n
2.5 \\text{ pounds} \\times \\frac{453.592 \\text{ grams}}{1 \\text{ pound}} = 1133.98 \\text{ grams}
]<\/p>\n\n\n\nStep 2: Round to three significant figures<\/h3>\n\n\n\n
1130 \\text{ grams}
]<\/p>\n\n\n\n
1130 \\text{ grams} = 1.13 \\times 10^3 \\text{ grams}
]<\/p>\n\n\n\nAnswer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
\n