Question
If a repeating decimal has a repeating cycle of three digits, it will
convert to a rational number with what denominator? (1 point)
100
99
1,000
999
convert to a rational number with what denominator? (1 point)
100
99
1,000
999
Answers
GPT-4o mini
If a repeating decimal has a repeating cycle of three digits, it converts to a rational number with a denominator of 999.
For example, with the repeating decimal \(0.\overline{abc}\), the formula to convert it to a fraction would typically yield a denominator of \(999\) (where \(abc\) represents the repeating digits). Thus the correct answer is:
**999**
For example, with the repeating decimal \(0.\overline{abc}\), the formula to convert it to a fraction would typically yield a denominator of \(999\) (where \(abc\) represents the repeating digits). Thus the correct answer is:
**999**