{"id":167418,"date":"2024-11-15T17:25:43","date_gmt":"2024-11-15T17:25:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167418"},"modified":"2024-11-15T17:25:45","modified_gmt":"2024-11-15T17:25:45","slug":"is-16x3-14-rational-or-irrational","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/is-16x3-14-rational-or-irrational\/","title":{"rendered":"Is -16×3.14 rational or irrational"},"content":{"rendered":"\n

Is -16×3.14 rational or irrational<\/p>\n\n\n\n

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

The number (-16 \\times 3.14 = -50.24) is rational<\/strong> because it can be expressed as a fraction.<\/p>\n\n\n\n

To determine whether (-16 \\times 3.14) is rational or irrational, let’s first calculate the result of the multiplication and then assess its rationality.<\/p>\n\n\n\n

    \n
  1. Multiplying the numbers:<\/strong>
    [
    -16 \\times 3.14 = -50.24
    ]
    The result is (-50.24).<\/li>\n\n\n\n
  2. Understanding Rational and Irrational Numbers:<\/strong><\/li>\n<\/ol>\n\n\n\n
      \n
    • Rational numbers<\/strong> are numbers that can be expressed as a fraction, meaning they can be written in the form (\\frac{a}{b}), where (a) and (b) are integers, and (b \\neq 0). Rational numbers include all integers, fractions, and finite or repeating decimals.<\/li>\n\n\n\n
    • Irrational numbers<\/strong> are numbers that cannot be expressed as a fraction of two integers. These numbers cannot be written as a simple fraction and have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include (\\pi), (e), and the square root of non-perfect squares, such as (\\sqrt{2}).<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Analyzing the result:<\/strong>
        The number (-50.24) is a decimal number<\/strong> with a finite number of digits after the decimal point (two decimal places). Any number with a finite decimal expansion can be written as a fraction. For example, we can express (-50.24) as:
        [
        -50.24 = \\frac{-5024}{100}
        ]
        This is a fraction where both the numerator ((-5024)) and denominator ((100)) are integers.<\/li>\n\n\n\n
      2. Conclusion:<\/strong>
        Since (-50.24) can be written as a fraction, it is a rational number<\/strong>.<\/li>\n<\/ol>\n\n\n\n

        Therefore, the number (-16 \\times 3.14 = -50.24) is rational<\/strong> because it can be expressed as a fraction.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Is -16×3.14 rational or irrational The Correct Answer and Explanation is: The number (-16 \\times 3.14 = -50.24) is rational because it can be expressed as a fraction. To determine whether (-16 \\times 3.14) is rational or irrational, let’s first calculate the result of the multiplication and then assess its rationality. Therefore, the number (-16 […]<\/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-167418","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167418","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=167418"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167418\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167418"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167418"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}