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


Transcript

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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About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo