Question

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.

Answer 1

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.**