Question

317/3125 represents ......Select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) a terminating decimal
(b) a non recurring decimal
(c) a recurring decimal
(d) an integer

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

3125 = 5^5 is of the form 2ⁿ × 5^m

Here , n = 0 , m = 5

Therefore ,

317/3125 is a terminating decimal.

317/3125

= ( 317 × 2^5 )/( 2^5 × 5^5 )

= ( 317 × 32 )/( 10 )^5

= 10144/100000

= 0.10144 ( Terminating decimal )

•••••

Answer 2

Step-by-step explanation:

option a is correct answer