Question

Which of the following is a non-terminating decimal expansion?

a) 13/

3125

b) 17/

8

c) 15/

1600

d) 29/

343​

Answer 1

Answer:

(b) and (d) are non terminating decimal expressions.

Answer 2

Let x=

p

q

be a rational number, such that the prime factorization of q is of the form 2n×5m, where n,m are non-negative integers. Then x has a decimal expansion which terminates.

Steps: