Question

give me a answer please​

Answer 1

Solution :

Option (a) is correct

Explanation:

317/3125

Resolving denominator into product of prime,

5 | 3125

5 | 625

5 | 125

5 | 25

5 | 5

5 | 1

3125= 5×5×5×5×5×5 is of the form 2n × 5m

Here , n=0 , m=5

Therefore,

317/ 3125 is a terminating decimal

317/3125

= ( 317 × 2×2×2×2×2)/(2×5)×(5×5)

= ( 3173 × 32)/ (10)5 [Here 5 is the power of 10]

= 10144/100000

= 0.10144 ( Terminating decimal )