For a rational number to generate a repeating decimal, what must be true?(1 point)

Responses

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 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.

1 answer

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

The denominator must not evenly divide any power of 10.

This means that if the denominator, when expressed in its simplest form, contains any prime factors other than 2 and 5, the resulting decimal will be repeating.