Question
The decimal expansion that a rational number cannot have is:
  1. 0. 25
  2. $0.25\overline{28}$
  3. $0.\overline{2528}$
  4. 0.5030030003...

Answer

  1. 0.5030030003...

Solution:

The decimal expansion of a rational number is either terminating or non-terminating recurring.

The decimal expansion of 0.5030030003... is non-terminating, non-recurring, which is not a property of a rational number. 

Hence, the correct opion is (d).

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