How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point)

Question

Responses

up to seven digits long
up to seven digits long

any finite length
any finite length

infinitely long
infinitely long

up to six digits long

Answer 1

The repeating cycle of a repeating decimal when the denominator is 7 can be up to 6 digits long. Therefore, the correct response is:

up to six digits long.

This is because the decimal representation of fractions with a denominator that is a factor of 10 (like 2 and 5) will terminate, while those that are not (like 7) will repeat, with the length of the repeating part being at most one less than the denominator. For 7, the maximum length of the repeating cycle is 6.