Are rational numbers closed under addition?
Understand the Problem
The question is asking whether the set of rational numbers maintains closure under the operation of addition, which means that the sum of any two rational numbers is also a rational number. This can be explored by considering the definition of rational numbers and performing addition on two of them.
Answer
Rational numbers are closed under addition.
The final answer is that rational numbers are closed under addition.
Answer for screen readers
The final answer is that rational numbers are closed under addition.
More Information
This means that the sum of any two rational numbers will always be a rational number.
Tips
A common mistake is confusing closure properties across different operations. For rational numbers, they are closed under addition, subtraction, and multiplication but not division.
Sources
- Rational numbers are closed under addition - BYJU'S - byjus.com
- Closure Property: Definition, Formula, Examples - SplashLearn - splashlearn.com
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