{"id":193951,"date":"2025-02-22T05:56:56","date_gmt":"2025-02-22T05:56:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=193951"},"modified":"2025-02-22T05:56:59","modified_gmt":"2025-02-22T05:56:59","slug":"do-the-following-calculation-and-express-the-answer-using-the-correct-number-of-significant-figures","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/22\/do-the-following-calculation-and-express-the-answer-using-the-correct-number-of-significant-figures\/","title":{"rendered":"Do the following calculation and express the answer using the correct number of significant figures"},"content":{"rendered":"\n

Do the following calculation and express the answer using the correct number of significant figures. __<\/strong> = (342) x (0.0012) \u00f7 100.0<\/p>\n\n\n\n

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

The calculation:<\/p>\n\n\n\n

[
(342) \\times (0.0012) \\div 100.0
]<\/p>\n\n\n\n

Step 1: Multiply 342 by 0.0012
[
342 \\times 0.0012 = 0.4104
]<\/p>\n\n\n\n

Step 2: Divide by 100.0
[
0.4104 \\div 100.0 = 0.004104
]<\/p>\n\n\n\n

Significant Figures:<\/h3>\n\n\n\n
    \n
  • 342<\/strong> has 3 significant figures<\/strong>.<\/li>\n\n\n\n
  • 0.0012<\/strong> has 2 significant figures<\/strong>.<\/li>\n\n\n\n
  • 100.0<\/strong> has 4 significant figures<\/strong>.<\/li>\n\n\n\n
  • The final result must be rounded to 2 significant figures<\/strong>, as the least number of significant figures in the given numbers is 2<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    Final Answer:<\/h3>\n\n\n\n

    [
    0.0041
    ]<\/p>\n\n\n\n

    Explanation:<\/h3>\n\n\n\n
      \n
    1. Significant Figures Importance<\/strong>: Significant figures indicate the precision of a measured value. In multiplication and division, the result should have the same number of significant figures as the least precise number in the operation.<\/li>\n\n\n\n
    2. Rounding the Answer<\/strong>: Since 0.004104 has 4 significant figures, rounding to 2 significant figures gives 0.0041.<\/li>\n\n\n\n
    3. Why 2 Significant Figures?<\/strong>: The least precise number in the calculation is 0.0012<\/strong>, which has 2 significant figures<\/strong>. Therefore, the final result must also have 2 significant figures.<\/li>\n<\/ol>\n\n\n\n

      Now, I will generate an image to illustrate this calculation visually.<\/p>\n\n\n\n

      Here is the generated image illustrating the calculation and the concept of significant figures. Let me know if you need any modifications or further explanations!<\/p>\n\n\n\n

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

      Do the following calculation and express the answer using the correct number of significant figures. __ = (342) x (0.0012) \u00f7 100.0 The Correct Answer and Explanation is : The calculation: [(342) \\times (0.0012) \\div 100.0] Step 1: Multiply 342 by 0.0012[342 \\times 0.0012 = 0.4104] Step 2: Divide by 100.0[0.4104 \\div 100.0 = 0.004104] […]<\/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-193951","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193951","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=193951"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193951\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=193951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=193951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=193951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}