Question

Must the difference between two rational numbers be a rational number? Explain.

Answer 1

No, because when you have your problem it can be less or more so it can't always be the same. Hope I helped.

Answer 2

The correct answer is:

Yes, it must.

Explanation:

Rational numbers are closed under subtraction. This means that if you subtract two rational numbers, your answer will also be a rational number.

The only way you could have two rational numbers and end with a result that is not a rational number is to take the square root of at least one of them. Depending on the digits in the numbers, this would result in an irrational number.