If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)
Responses
99
999
1,000
100
The correct answer is 99.
To convert a repeating decimal with a repeating cycle of three digits to a rational number, we need to determine the denominator.
The denominator will be a number formed by repeating the digit 9 as many times as there are digits in the repeating cycle. In this case, since the repeating cycle has three digits, the denominator will be formed by repeating the digit 9 three times.
Therefore, the correct answer is 999.