The decimal expansion that a rational number cannot have is

Question:

The decimal expansion that a rational number cannot have is

(a) $0.25$

(b) $0.25 \overline{28}$

(c) $0 . \overline{2528}$

(d) $0.5030030003$

Solution:

As, any number which have a terminating or non-terminating recurring decimal expansion is a rational number.

So, 0.5030030003... which is non-termintaing non-recurring decimal expansion is not a rational number.

Hence, the correct option is (d).

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