{"id":193948,"date":"2025-02-22T05:52:50","date_gmt":"2025-02-22T05:52:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=193948"},"modified":"2025-02-22T05:52:53","modified_gmt":"2025-02-22T05:52:53","slug":"what-is-the-sum-of-100-0-g-and-0-01-g","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/22\/what-is-the-sum-of-100-0-g-and-0-01-g\/","title":{"rendered":"what is the sum of 100.0 g and 0.01 g"},"content":{"rendered":"\n<p>what is the sum of 100.0 g and 0.01 g, expressed in scientific notation and written witht he correct number of significant figures<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>The sum of <strong>100.0 g<\/strong> and <strong>0.01 g<\/strong> is <strong>100.01 g<\/strong>.<\/p>\n\n\n\n<p>Expressed in scientific notation with the correct number of significant figures:<br>[<br>1.0001 \\times 10^2 \\text{ g}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Significant Figures:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>100.0 g<\/strong> has <strong>four significant figures<\/strong> because the trailing zero after the decimal point counts.<\/li>\n\n\n\n<li><strong>0.01 g<\/strong> has <strong>one significant figure<\/strong> because only the nonzero digits count.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Addition and Significant Figures:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When adding numbers, we focus on the <strong>decimal places<\/strong>, not the number of significant figures.<\/li>\n\n\n\n<li><strong>100.0<\/strong> has <strong>one decimal place<\/strong>.<\/li>\n\n\n\n<li><strong>0.01<\/strong> has <strong>two decimal places<\/strong>.<\/li>\n\n\n\n<li>The result should be rounded to <strong>one decimal place<\/strong>, as the number with the least decimal places determines the final precision.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Summation:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(100.0 + 0.01 = 100.01)<\/li>\n\n\n\n<li>The sum has <strong>two decimal places<\/strong>, but we must round to one decimal place.<\/li>\n\n\n\n<li>Rounding <strong>100.01<\/strong> to one decimal place gives <strong>100.0<\/strong>.<\/li>\n\n\n\n<li>In scientific notation, <strong>100.0<\/strong> is written as <strong>1.000 \u00d7 10\u00b2<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Final Answer:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The correctly rounded sum in <strong>scientific notation<\/strong> is:<br>[<br>1.000 \\times 10^2 \\text{ g}<br>]<\/li>\n\n\n\n<li>This preserves <strong>four significant figures<\/strong>, matching the number with the fewest decimal places in the original numbers.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Image:<\/h3>\n\n\n\n<p>I will now generate an image illustrating the concept of significant figures in addition and scientific notation.<\/p>\n\n\n\n<p>Here is the image illustrating the concept of significant figures in addition and scientific notation. Let me know if you need any modifications or further explanations!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-1175.png\" alt=\"\" class=\"wp-image-193949\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is the sum of 100.0 g and 0.01 g, expressed in scientific notation and written witht he correct number of significant figures The Correct Answer and Explanation is : Answer: The sum of 100.0 g and 0.01 g is 100.01 g. Expressed in scientific notation with the correct number of significant figures:[1.0001 \\times 10^2 [&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-193948","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193948","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=193948"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193948\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=193948"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=193948"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=193948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}