{"id":209432,"date":"2025-04-29T05:47:36","date_gmt":"2025-04-29T05:47:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=209432"},"modified":"2025-04-29T05:47:38","modified_gmt":"2025-04-29T05:47:38","slug":"convert-14-5-inches-to-cm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/29\/convert-14-5-inches-to-cm\/","title":{"rendered":"Convert 14.5 inches to cm"},"content":{"rendered":"\n

Convert 14.5 inches to cm. Which of the following is the correct set up for this conversion?<\/p>\n\n\n\n

14.5 in x (1 in \/ 0.254 cm)
14.5 in x (1 in \/ 2.54 cm) =
14.5 in x (0.254 cm \/ 1 in) =
14.5 in x (2.54 cm \/ 1 in)<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct setup for converting 14.5 inches to centimeters<\/strong> is:<\/p>\n\n\n\n

\u2705 14.5 in \u00d7 (2.54 cm \/ 1 in)<\/strong><\/p>\n\n\n\n

\n\n\n\n

Detailed Explanation:<\/h3>\n\n\n\n

When you are converting between units, you use conversion factors<\/strong> that relate the two units.
In this case, you need to know the basic fact that:<\/p>\n\n\n\n

    \n
  • 1 inch = 2.54 centimeters<\/strong><\/li>\n<\/ul>\n\n\n\n

    This means that 2.54 centimeters<\/strong> is equal<\/strong> to 1 inch<\/strong>.
    Thus, the conversion factor is either:<\/p>\n\n\n\n

      \n
    • ( \\frac{2.54\\ \\text{cm}}{1\\ \\text{in}} ) or<\/strong> ( \\frac{1\\ \\text{in}}{2.54\\ \\text{cm}} )<\/li>\n<\/ul>\n\n\n\n

      But how do you choose the right one?
      You set up your conversion so that the units you want to cancel<\/strong> are opposite each other.<\/p>\n\n\n\n

      Since you are starting with inches<\/strong> (in), you want to cancel out inches<\/strong> and end up with centimeters<\/strong> (cm).
      Therefore, inches must be in the denominator<\/strong>, and centimeters in the numerator<\/strong>.<\/p>\n\n\n\n

        \n
      • Start: 14.5 in \u00d7 (conversion factor)<\/li>\n\n\n\n
      • Setup: 14.5 in \u00d7 ( 2.54 cm \/ 1 in<\/strong> )<\/li>\n<\/ul>\n\n\n\n

        When you multiply:<\/p>\n\n\n\n

        [
        14.5\\ \\text{in} \\times \\frac{2.54\\ \\text{cm}}{1\\ \\text{in}}
        ]<\/p>\n\n\n\n

        the “inches” cancel<\/strong> out:<\/p>\n\n\n\n

        [
        \\text{(in)} \\div \\text{(in)} = 1
        ]<\/p>\n\n\n\n

        leaving only centimeters:<\/p>\n\n\n\n

        [
        14.5 \\times 2.54 = 36.83\\ \\text{cm}
        ]<\/p>\n\n\n\n

        \n\n\n\n

        Why the Other Choices Are Incorrect:<\/h3>\n\n\n\n
          \n
        • 14.5 in \u00d7 (1 in \/ 0.254 cm)<\/strong> \u2192 This would convert cm to in<\/strong>, not in to cm. (Also, the value 0.254 is wrong.)<\/li>\n\n\n\n
        • 14.5 in \u00d7 (1 in \/ 2.54 cm)<\/strong> \u2192 Again, this would incorrectly cancel cm, not in, leading to wrong units.<\/li>\n\n\n\n
        • 14.5 in \u00d7 (0.254 cm \/ 1 in)<\/strong> \u2192 The setup is correct in structure (cm over in), but the number is wrong<\/strong> (should be 2.54, not 0.254).<\/li>\n<\/ul>\n\n\n\n
          \n\n\n\n

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

          \u2705 14.5 in \u00d7 (2.54 cm \/ 1 in)<\/strong><\/p>\n\n\n\n

          Which calculates to:<\/p>\n\n\n\n

          [
          14.5\\ \\text{in} \\times 2.54\\ \\text{cm\/in} = 36.83\\ \\text{cm}
          ]<\/p>\n\n\n\n

          \n","protected":false},"excerpt":{"rendered":"

          Convert 14.5 inches to cm. Which of the following is the correct set up for this conversion? 14.5 in x (1 in \/ 0.254 cm)14.5 in x (1 in \/ 2.54 cm) =14.5 in x (0.254 cm \/ 1 in) =14.5 in x (2.54 cm \/ 1 in) The correct answer and explanation is : […]<\/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-209432","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209432","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=209432"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209432\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=209432"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=209432"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=209432"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}