{"id":248322,"date":"2025-07-08T10:00:31","date_gmt":"2025-07-08T10:00:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248322"},"modified":"2025-07-08T10:00:33","modified_gmt":"2025-07-08T10:00:33","slug":"fill-in-the-blanks-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/fill-in-the-blanks-4\/","title":{"rendered":"Fill in the blanks."},"content":{"rendered":"\n

Fill in the blanks. In scientific notation, 360,000 = \\boxed{} \\times 10^{\\boxed{}}.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

Of course! Here are the correct numbers to fill in the blanks, along with a detailed explanation.<\/p>\n\n\n\n

Answer:<\/strong>
360,000 = 3.6<\/strong> \u00d7 10\u2075<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

The problem requires converting the standard number 360,000 into scientific notation. Scientific notation is a method used to express very large or very small numbers concisely. It follows the format a \u00d7 10\u1d47<\/strong>, where:<\/p>\n\n\n\n

    \n
  • ‘a’<\/strong>\u00a0is the coefficient, a number that must be greater than or equal to 1 but less than 10 (1 \u2264 |a| < 10).<\/li>\n\n\n\n
  • ‘b’<\/strong>\u00a0is the exponent, an integer representing the power of 10.<\/li>\n<\/ul>\n\n\n\n

    Here is the step-by-step process to convert 360,000:<\/p>\n\n\n\n

    1. Find the Coefficient (a):<\/strong>
    First, we need to find a number between 1 and 10 by moving the decimal point in 360,000. In a whole number, the decimal point is understood to be at the end (360,000.). To create a coefficient between 1 and 10, we must move the decimal point so that only one non-zero digit is to its left. For 360,000, we move the decimal point to sit between the ‘3’ and the ‘6’.
    This gives us the coefficient 3.6<\/strong>. This number correctly fills the first blank.<\/p>\n\n\n\n

    2. Find the Exponent (b):<\/strong>
    Next, we determine the exponent by counting the number of places the decimal point was moved.
    Original position: 360,000.
    New position: 3.60000<\/p>\n\n\n\n

    We moved the decimal point 5 places to the left<\/strong>.<\/p>\n\n\n\n

      \n
    • The direction of the move determines the sign of the exponent. Since we moved the decimal to the left for a large number (a number greater than 1), the exponent is positive.<\/li>\n\n\n\n
    • The number of places moved determines the value of the exponent.<\/li>\n<\/ul>\n\n\n\n

      Therefore, the exponent is +5<\/strong>. This number fills the second blank (the superscript box).<\/p>\n\n\n\n

      3. Final Result and Verification:<\/strong>
      By combining the coefficient and the exponent, we get the final expression in scientific notation: 3.6 \u00d7 10\u2075<\/strong>.<\/p>\n\n\n\n

      We can verify this is correct by performing the calculation:
      10\u2075 = 10 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10 = 100,000.
      3.6 \u00d7 100,000 = 360,000.
      This matches the original number, confirming our answer is correct.<\/p>\n\n\n\n

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

      Fill in the blanks. In scientific notation, 360,000 = \\boxed{} \\times 10^{\\boxed{}}. The Correct Answer and Explanation is: Of course! Here are the correct numbers to fill in the blanks, along with a detailed explanation. Answer:360,000 = 3.6 \u00d7 10\u2075 Explanation: The problem requires converting the standard number 360,000 into scientific notation. Scientific notation is a method […]<\/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-248322","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248322","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=248322"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248322\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}