Question 8 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards
Last updated at Sept. 7, 2021 by Teachoo

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 ร 5^2 ) will be (a) Terminating (b) Non-terminating (c) Non-terminating and repeating (d) Non-terminating and non-repeating
Now,
๐๐/(๐^๐ ร ๐^๐ ) = 23/(2^3 ร 5^2 ) ร ๐/๐
= (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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