Prime factors of the denominator of a rational number with the decimal expansion 44.123 are

(a) 2,3   (b) 2, 3, 5   (c) 2, 5   (d) 3, 5

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  1. Class 10
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Question 8 Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2, 3, 5 (c) 2, 5 (d) 3, 5 Now, 44.123 = 44123/1000 Now, Prime factors of denominator = Prime factors of 1000 = 103 = (2 × 5)3 ∴ Prime factors are 2, 5 So, the correct answer is (c)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.