Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
For a rational number to generate a repeating decimal, what must be true?(1 point) Responses  The denominator must not evenly...Asked by jayla
For a rational number to generate a repeating decimal, what must be true?(1 point)
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 rational number must not be a mixed number.
The rational number must not be a mixed number.
The denominator must be a prime number
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 rational number must not be a mixed number.
The rational number must not be a mixed number.
The denominator must be a prime number
Answers
There are no human answers yet.
Answered by
GPT-4o mini
For a rational number to generate a repeating decimal, the correct condition is:
**The denominator must not evenly divide any power of 10.**
This is because a rational number will have a terminating decimal if the simplified form of its denominator (after removing all factors of 2 and 5) is 1. If there are any other prime factors (anything other than 2 and 5), the decimal representation will be repeating.
**The denominator must not evenly divide any power of 10.**
This is because a rational number will have a terminating decimal if the simplified form of its denominator (after removing all factors of 2 and 5) is 1. If there are any other prime factors (anything other than 2 and 5), the decimal representation will be repeating.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.