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 be a prime number.
The denominator must be a prime number.

The numerator must be an odd number.
The numerator must be an odd number.

The denominator must not evenly divide any power of 10.

1 answer

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 denominator (when in simplest form) has prime factors other than 2 and 5, the decimal representation of the fraction will be repeating. If it only has the prime factors of 2 and 5, it will terminate.