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.

Question

Ernest Henson

Mathematics

14 June, 02:13

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.

+5

Answers (2)

Know the Answer?

Kaya Bond · Answer 1

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.

Nathan Herrera · Answer 2

the answer is a yes it is a rational number