For a rational number to generate a repeating decimal, what must be true?(1 point) Responses The rational number must not be a mixed number. The rational number must not be a mixed number. The numerator must be an odd number. The numerator must be an odd number. The denominator must be a prime number. The denominator must be a prime number. The denominator must not evenly divide any power of 10.

1 answer

For a rational number to generate a repeating decimal, it is true that the denominator must not evenly divide any power of 10. This means that if the denominator (after simplifying the fraction) contains prime factors other than 2 or 5, the decimal representation of the rational number will be repeating.

In summary, the correct response is:

The denominator must not evenly divide any power of 10.