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Question
Rational numbers are closed under addition and multiplication but not under subtraction.
Options
True
False
Solution
This statement is False.
Explanation:
To add or subtract two rational numbers, you first need to change your rational numbers so that they share a common denominator.
Therefore, they are closed under subtraction.
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RELATED QUESTIONS
Verify the closure property for addition and multiplication for the rational numbers `(-5)/7` and `8/9`
Closure property is not true for division of rational numbers because of the number
Give an example and verify the following statement.
The collection of all non-zero rational numbers is closed under division
Give one example each to show that the rational numbers are closed under addition, subtraction and multiplication. Are rational numbers closed under division? Give two examples in support of your answer.
