How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point) Responses up to six digits long, up to seven digits long, any finite length, infinitely long

Answer 1

The repeating cycle of a repeating decimal for a rational number is determined by the denominator when the fraction is in simplest form. For the denominator of 7, the maximum possible length of the repeating cycle is given by the value of the denominator itself, which is 6 (since the repeating part can be at most one less than the denominator for prime numbers). Thus, the repeating decimal of a rational number with a denominator of 7 can have a cycle up to 6 digits long.

So, the correct response is: up to six digits long.