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
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
Last updated at August 2, 2026 by Teachoo
Transcript
Question 8 The decimal representation of 23/(2^3 Ć 5^2 ) will be (a) Terminating (b) Non-terminating (c) Non-terminating and repeating (d) Non-terminating and non-repeating Now, šš/(š^š Ć š^š ) = 23/(2^3 Ć 5^2 ) Ć š/š = (23 Ć 5)/(2^3 Ć 5^3 ) = 115/(2 Ć 5)^3 = 115/10^3 = 115/1000 = 0.115 Thus, the decimal expansion is terminating So, the correct answer is (a)