Check sibling questions

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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Question 8 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 Now, 𝟐𝟑/(𝟐^𝟑 × 𝟓^𝟐 ) = 23/(2^3 × 5^2 ) × 𝟓/𝟓 = (23 × 5)/(2^3 × 5^3 ) = 115/(2 × 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.