Are rational numbers closed under multiplication?
Understand the Problem
The question is asking whether the set of rational numbers maintains closure under the operation of multiplication. In mathematical terms, this means that if you multiply any two rational numbers, the result should also be a rational number.
Answer
Yes, rational numbers are closed under multiplication.
The final answer is Yes, rational numbers are closed under multiplication.
Answer for screen readers
The final answer is Yes, rational numbers are closed under multiplication.
More Information
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. When you multiply any two rational numbers, the result is always a rational number. Thus, they are closed under multiplication.
Tips
A common mistake is to confuse closure under multiplication with closure under division. Rational numbers are not closed under division.
