{"id":271978,"date":"2025-07-26T08:44:41","date_gmt":"2025-07-26T08:44:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271978"},"modified":"2025-07-26T08:44:43","modified_gmt":"2025-07-26T08:44:43","slug":"1-0-0064","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/1-0-0064\/","title":{"rendered":"1\/ 0.0064"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

The correct answer is 156.25<\/strong>.<\/p>\n\n\n\n

The mathematical problem shown in the image is 1 \u00f7 0.0064. This calculation asks how many times the decimal 0.0064 fits into the number 1. To solve this without a calculator, we can convert the problem into a more manageable form by eliminating the decimal from the divisor.<\/p>\n\n\n\n

First, let’s express the division problem as a fraction:
1 \/ 0.0064<\/p>\n\n\n\n

The main challenge here is dividing by a decimal. We can simplify this by converting the denominator, 0.0064, into a whole number. We can do this by multiplying it by a power of 10. Since 0.0064 has four digits after the decimal point, we need to multiply it by 10,000 to make it a whole number. Multiplying 0.0064 by 10,000 moves the decimal point four places to the right, which gives us 64.<\/p>\n\n\n\n

To keep the overall value of the fraction the same, we must also multiply the numerator, which is 1, by the same number, 10,000. This is a core rule of fractions: multiplying the numerator and denominator by the same non-zero number results in an equivalent fraction. So, 1 multiplied by 10,000 equals 10,000.<\/p>\n\n\n\n

Our new, equivalent problem is now a division of two whole numbers:
10,000 \u00f7 64<\/p>\n\n\n\n

Now we can perform long division to find the solution.<\/p>\n\n\n\n

    \n
  1. We start by dividing 100 by 64. It goes in 1 time, with a remainder of 36 (100 – 64 = 36).<\/li>\n\n\n\n
  2. Next, we bring down the next digit from 10,000, which is a 0, to make our new number 360. We divide 360 by 64. This goes in 5 times (5 \u00d7 64 = 320), with a remainder of 40 (360 – 320 = 40).<\/li>\n\n\n\n
  3. We bring down the last 0 from 10,000, making our number 400. We divide 400 by 64. This goes in 6 times (6 \u00d7 64 = 384), with a remainder of 16 (400 – 384 = 16).<\/li>\n\n\n\n
  4. Since we have a remainder, we place a decimal point in our answer and add a 0 to the remainder, making it 160. We divide 160 by 64. This goes in 2 times (2 \u00d7 64 = 128), with a remainder of 32 (160 – 128 = 32).<\/li>\n\n\n\n
  5. Finally, we add another 0 to our remainder, making it 320. We divide 320 by 64. This goes in exactly 5 times (5 \u00d7 64 = 320), with no remainder.<\/li>\n<\/ol>\n\n\n\n

    By combining the digits from our long division, we find that 10,000 divided by 64 is 156.25.<\/p>\n\n\n\n

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

    The Correct Answer and Explanation is: The correct answer is 156.25. The mathematical problem shown in the image is 1 \u00f7 0.0064. This calculation asks how many times the decimal 0.0064 fits into the number 1. To solve this without a calculator, we can convert the problem into a more manageable form by eliminating the decimal […]<\/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-271978","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271978","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=271978"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271978\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}