Answer:
Correct option is D)
The decimal expansion of a rational number is either terminating or non-terminating repeating.
(A) 0.14 is terminating, so it is a rational number
(B) 0.14
16
ˉ
=0.141616....
is also rational ( non-terminating repeating ), where digits 16 are repeating.
(C) 0.1416 is terminating, so it is a rational number
(D) 0.4014001400014.....
is an irrational number because it is neither terminating nor repeating.