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

Mathematics

Brisa Faulkner

15 August, 13:02

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?

Callum Schultz · Answer 1

the answer is a yes it is a rational number

Lexi May · 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.