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

Question

Responses

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

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.

Answer 1

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

The denominator must not evenly divide any power of 10.

This means that if the denominator contains any prime factors other than 2 or 5 (the prime factors of 10), the decimal representation of the fraction will be repeating. If the only prime factors of the denominator are 2 and 5, then the decimal representation will terminate.