{"id":47318,"date":"2025-07-02T11:35:08","date_gmt":"2025-07-02T11:35:08","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=47318"},"modified":"2025-07-02T11:35:12","modified_gmt":"2025-07-02T11:35:12","slug":"write-8-3-as-a-decimal","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-8-3-as-a-decimal\/","title":{"rendered":"Write 8\/3 as a decimal"},"content":{"rendered":"\n

Write 8\/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.<\/p>\n\n\n\n

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

To write 83\\frac{8}{3}38\u200b as a decimal, you need to divide 8 by 3. Let’s go through the steps of this long division process:<\/p>\n\n\n\n

    \n
  1. Start by dividing 8 by 3.<\/strong>
    8\u00f73=28 \\div 3 = 28\u00f73=2 with a remainder of 2.
    So, the first digit after the decimal is 2.<\/li>\n\n\n\n
  2. Bring down a zero.<\/strong>
    Now, you divide 20 by 3.
    20\u00f73=620 \\div 3 = 620\u00f73=6 with a remainder of 2.
    So, the next digit is 6.<\/li>\n\n\n\n
  3. Bring down another zero.<\/strong>
    You get 20 again, and when you divide by 3, you get 6 with a remainder of 2 again.
    This process will repeat infinitely.<\/li>\n<\/ol>\n\n\n\n

    Thus, the decimal representation of 83\\frac{8}{3}38\u200b is:2.6\u203e2.\\overline{6}2.6<\/p>\n\n\n\n

    where the bar over the 6 indicates that it repeats indefinitely.<\/p>\n\n\n\n

    Why does this happen?<\/h3>\n\n\n\n

    The reason the 6 repeats is due to the nature of division. When you divide 8 by 3, the remainder starts repeating after the first few steps, causing the same quotient (6) to appear over and over. This results in a repeating decimal.<\/p>\n\n\n\n

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

    So, 83=2.6\u203e\\frac{8}{3} = 2.\\overline{6}38\u200b=2.6. This is an example of a repeating decimal, where the digit 6 repeats infinitely. In many cases, when dealing with repeating decimals, we use the bar notation to indicate the repeating portion, making it clear that the digit will continue without end.<\/p>\n\n\n\n

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

    Write 8\/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. The Correct Answer and Explanation is: To write 83\\frac{8}{3}38\u200b as a decimal, you need to divide 8 by 3. Let’s go through the steps of this long division process: Thus, the decimal representation of 83\\frac{8}{3}38\u200b is:2.6\u203e2.\\overline{6}2.6 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47318","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=47318"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47318\/revisions"}],"predecessor-version":[{"id":47325,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47318\/revisions\/47325"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}