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 Dec. 16, 2024 by Teachoo
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)