The decimal representation of 23/(2 3   × 5 2 ) will be

(a) Terminating

(b) Non-terminating

(c) Non-terminating and repeating

(d) Non-terminating and non-repeating

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  1. Class 10
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Transcript

Question 8 The decimal representation of 23/(2^3 ร— 5^2 ) will be (a) Terminating (b) Non-terminating (c) Non-terminating and repeating (d) Non-terminating and non-repeating Now, ๐Ÿ๐Ÿ‘/(๐Ÿ^๐Ÿ‘ ร— ๐Ÿ“^๐Ÿ ) = 23/(2^3 ร— 5^2 ) ร— ๐Ÿ“/๐Ÿ“ = (23 ร— 5)/(2^3 ร— 5^3 ) = 115/(2 ร— 5)^3 = 115/10^3 = 115/1000 = 0.115 Thus, the decimal expansion is terminating So, the correct answer is (a)

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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.