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 denominator must not evenly divide any power of 10. The denominator must not evenly divide any power of 10. The denominator must be a prime number. The denominator must be a prime number. The numerator must be an odd number

Answer 1

For a rational number to generate a repeating decimal, the correct condition is:

**The denominator must not evenly divide any power of 10.**

This means that if the simplified form of a rational number's denominator has any prime factors other than 2 or 5, it will produce a repeating decimal. If the denominator only consists of the prime factors 2 and/or 5, the decimal will terminate.