convert 7\/11 into decimal and say the type of decimal expansion<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The fraction 7\/11 converted into decimal form is approximately 0.636363636…<\/strong>, which is a repeating decimal<\/strong>. Specifically, the digits “63” repeat infinitely.<\/p>\n\n\n\n To convert a fraction into decimal form, divide the numerator by the denominator. In this case, divide 7 by 11:<\/p>\n\n\n\n 7\u00f711=0.636363636…7 \\div 11 = 0.636363636…<\/p>\n\n\n\n The result is a decimal that continues indefinitely, with the digits “63” repeating forever. This is called a repeating decimal<\/strong> because the sequence of digits repeats without ending.<\/p>\n\n\n\n This kind of decimal is different from a terminating decimal<\/strong>, which has a finite number of digits after the decimal point. For example, 0.25 is a terminating decimal because it ends after two digits.<\/p>\n\n\n\n Repeating decimals can be written using a bar notation to indicate the repeating portion. In this case, the repeating block “63” is written as:<\/p>\n\n\n\n 0.63\u203e0.\\overline{63}<\/p>\n\n\n\n Where the bar above “63” shows that these digits repeat infinitely.<\/p>\n\n\n\n Another important property of repeating decimals is that they can often be converted back into fractions. The fraction 7\/11 represents a ratio between two integers, and its repeating decimal form can be traced back to this original fraction.<\/p>\n\n\n\n Repeating decimals also occur when the denominator of a fraction has prime factors other than 2 or 5. In this case, 11 is a prime number and does not divide evenly into powers of 10, leading to the repeating decimal. If the denominator was, for instance, a factor of 10, like 5 or 2, the result would likely be a terminating decimal instead.<\/p>\n\n\n\n In summary, 7\/11 as a decimal is a repeating decimal, and its expansion continues infinitely as 0.636363…, often written as 0.63\u203e\\overline{63}.<\/p>\n","protected":false},"excerpt":{"rendered":" convert 7\/11 into decimal and say the type of decimal expansion The correct answer and explanation is: The fraction 7\/11 converted into decimal form is approximately 0.636363636…, which is a repeating decimal. Specifically, the digits “63” repeat infinitely. Explanation: To convert a fraction into decimal form, divide the numerator by the denominator. In this case, […]<\/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-47076","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47076","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=47076"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47076\/revisions"}],"predecessor-version":[{"id":47078,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47076\/revisions\/47078"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47076"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47076"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47076"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n