{"id":227494,"date":"2025-06-06T07:15:59","date_gmt":"2025-06-06T07:15:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227494"},"modified":"2025-06-06T07:16:01","modified_gmt":"2025-06-06T07:16:01","slug":"select-whether-the-number-is-rational-irrational-or-imaginary","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/select-whether-the-number-is-rational-irrational-or-imaginary\/","title":{"rendered":"Select whether the number is rational, irrational, or imaginary."},"content":{"rendered":"\n

Select whether the number is rational, irrational, or imaginary. 3\/11 rational irrational imaginary<\/p>\n\n\n\n

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

\u2705 Correct Answer: Rational<\/strong><\/h3>\n\n\n\n
\n\n\n\n

\ud83d\udcd8 Explanation<\/h3>\n\n\n\n

A rational number<\/strong> is any number that can be expressed as the quotient or fraction of two integers<\/strong>, where the denominator is not zero<\/strong>. In other words, if a number can be written in the form a\/b<\/strong>, where a<\/strong> and b<\/strong> are both integers and b \u2260 0<\/strong>, then it is considered rational.<\/p>\n\n\n\n

Let\u2019s look at the number in question:
3\/11<\/strong><\/p>\n\n\n\n

This is a fraction<\/strong>, and:<\/p>\n\n\n\n

    \n
  • The numerator (top number) is 3<\/strong>, which is an integer.<\/li>\n\n\n\n
  • The denominator (bottom number) is 11<\/strong>, which is also an integer and not equal to zero.<\/li>\n<\/ul>\n\n\n\n

    Since 3\/11<\/strong> fits the definition of a rational number (an integer divided by a nonzero integer), it is rational<\/strong>.<\/p>\n\n\n\n

    \n\n\n\n

    \ud83d\udd0d Why It\u2019s Not Irrational:<\/h3>\n\n\n\n

    An irrational number<\/strong> cannot be written as a fraction of two integers. Examples of irrational numbers include:<\/p>\n\n\n\n

      \n
    • \u221a2 (square root of 2)<\/li>\n\n\n\n
    • \u03c0 (pi)<\/li>\n\n\n\n
    • e (Euler’s number)<\/li>\n<\/ul>\n\n\n\n

      These numbers go on forever without repeating and cannot be expressed exactly as fractions. But 3\/11<\/strong> is a repeating decimal (approximately 0.272727…<\/strong>), which means it can<\/strong> be written as a fraction, so it’s not irrational<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      \ud83d\udd0d Why It\u2019s Not Imaginary:<\/h3>\n\n\n\n

      An imaginary number<\/strong> is a number that involves the square root of a negative number. The basic imaginary unit is i<\/strong>, where i = \u221a(-1)<\/strong>. Examples of imaginary numbers include:<\/p>\n\n\n\n

        \n
      • i<\/li>\n\n\n\n
      • 2i<\/li>\n\n\n\n
      • -5i<\/li>\n<\/ul>\n\n\n\n

        Since 3\/11<\/strong> is a real number and does not involve i<\/strong> or the square root of a negative number, it is not imaginary<\/strong>.<\/p>\n\n\n\n

        \n\n\n\n

        \u2705 Conclusion:<\/h3>\n\n\n\n

        3\/11 is a rational number<\/strong> because it is a fraction made of two integers and has a nonzero denominator.<\/p>\n\n\n\n

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

        Select whether the number is rational, irrational, or imaginary. 3\/11 rational irrational imaginary The Correct Answer and Explanation is: \u2705 Correct Answer: Rational \ud83d\udcd8 Explanation A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, if a number […]<\/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-227494","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227494","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=227494"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227494\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227494"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}