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
A. up to six digits long
B. up to seven digits long
C. infinitely long
D. any finite length
The repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.
This is because the repeating cycle is determined by the remainders when dividing by 7, and the remainders can only take on values from 0 to 6. Therefore, the maximum number of possible remainders is 7, and the repeating cycle can be up to six digits long.
So the correct answer is option A. up to six digits long.