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

Davian Hanson

23 July, 12:28

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.

+4

Answers (2)

Know the Answer?

Cornelius Ware · 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.

Karlie Burke · Answer 2

the answer is a yes it is a rational number