Write 0.009 as a fraction.<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The decimal 0.009 can be written as a fraction by following these steps:<\/p>\n\n\n\n Step 1: Understand the place value of the decimal. Step 2: Write the decimal as a fraction with the denominator based on the place value. Step 3: Simplify the fraction if possible. Because the GCD is 1, the fraction 91000\\frac{9}{1000} is already in its simplest form.<\/p>\n\n\n\n Final answer: Explanation: Once the place value is identified, the decimal can be expressed as the numerator (the digits without the decimal point) over the denominator (which is 1 followed by as many zeros as the number of decimal places). Here, since the decimal has three places, the denominator is 1000.<\/p>\n\n\n\n Simplification involves finding the greatest common divisor (GCD) between numerator and denominator and dividing both by it. In this case, 9 and 1000 do not share any common factors other than 1, so the fraction is already in its simplest form.<\/p>\n\n\n\n This method works for any terminating decimal, and understanding this process helps in converting decimals to fractions quickly and accurately.<\/p>\n","protected":false},"excerpt":{"rendered":" Write 0.009 as a fraction. The correct answer and explanation is: The decimal 0.009 can be written as a fraction by following these steps: Step 1: Understand the place value of the decimal.The decimal 0.009 has three digits after the decimal point. The last digit, 9, is in the thousandths place. This means 0.009 is […]<\/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-33531","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33531","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=33531"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33531\/revisions"}],"predecessor-version":[{"id":33532,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33531\/revisions\/33532"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=33531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=33531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=33531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
The decimal 0.009 has three digits after the decimal point. The last digit, 9, is in the thousandths place. This means 0.009 is nine thousandths.<\/p>\n\n\n\n
Since the decimal ends in the thousandths place, write it as:
91000\\frac{9}{1000}<\/p>\n\n\n\n
The numerator is 9 and the denominator is 1000. The greatest common divisor (GCD) of 9 and 1000 is 1 because 9 factors into 3 \u00d7 3 and 1000 factors into 2\u00b3 \u00d7 5\u00b3, so they share no common factors other than 1.<\/p>\n\n\n\n
0.009=910000.009 = \\frac{9}{1000}<\/p>\n\n\n\n
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Decimals represent parts of a whole number, based on powers of ten. When converting a decimal to a fraction, the key step is to identify which place value the decimal reaches. For example, 0.1 is one-tenth, 0.01 is one-hundredth, and 0.009 is nine-thousandths because the digit 9 is in the third place after the decimal.<\/p>\n\n\n\n