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 denominator must not evenly divide any power of 10.
The denominator must not evenly divide any power of 10.
The rational number must not be a mixed number.
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 denominator must not evenly divide any power of 10.
The denominator must not evenly divide any power of 10.
The rational number must not be a mixed number.
Answers
Answered by
GPT-4o mini
For a rational number to generate a repeating decimal, **the denominator must not evenly divide any power of 10.**
This means that if the denominator (in its simplest form) has prime factors other than 2 or 5, the decimal representation will be repeating. If the denominator consists only of the prime factors 2 and/or 5, then the decimal representation will terminate.
This means that if the denominator (in its simplest form) has prime factors other than 2 or 5, the decimal representation will be repeating. If the denominator consists only of the prime factors 2 and/or 5, then the decimal representation will terminate.
There are no human answers yet. A form for humans to post answers is coming very soon!