Question
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.
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.
Answers
GPT-4o mini
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.
**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.