Question

- Very Short Answer Type Questions
1. Without actual division, find which of the following
rational numbers are terminating decimals.
31
16
(i)
375
125
8
7
(iii)
(iv)
35
25
(ii)​

Answer 1

Answer:

 The rational not having denominator as multiple of 2m×5n will be non terminating.

(1) 167=2×2×2×27− denominator is multiple of 2m×5n hence terminating.

(2) 12523=5×5×523 --  denominator is multiple of 2m×5n hence terminating.

(3) 149=7×29 -- denominator is not multiple of 2m×5n hence non-terminating

(4)4532=3×3×532-- denominator is not multiple of 2m×5n hence non-terminating.

(5) 5043=5×5×243--  denominator is multiple of 2m×5n hence terminating.

(6)4017=2×2×2×517 -- denominator is multiple of 2m×5