The repeating cycle of a repeating decimal depends on the prime factors of the denominator. In this case, the denominator is 7, which is a prime number.
When a rational number has a prime number as the denominator, the repeating cycle of the decimal representation will be equal to one less than the denominator. Therefore, the repeating cycle of a decimal with a denominator of 7 will be 7 - 1 = 6 digits long.
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7? (1point).
1 answer