Question

Suppose the repeated pattern in 0.020020200202002...continues forever.Is this number rational?

A)Yes,because the number can be written as the quotient integers.
B)Yes,because the number is terminating decimal.
C)No,because the number is not terminating decimal.
D)No,because the number is repeating decimal.

Answer 1

 the answer is a yes it is a rational number                                                

Answer 2

Yes. Any decimal that repeats the same pattern forever is rational,
because it can be written as the quotient of integers.

This one can be written as 2,002 / 99,999 .