Practice Operation Closure in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
When an operation on elements of a set always produces an element in the same set.
Adding two whole numbers always gives a whole number—closed under addition.
Example 1
easyAre whole numbers closed under addition? Test with \(5 + 7\) and \(12 + 0\). Explain what closure means.
Example 2
mediumAre whole numbers closed under subtraction? Provide a counterexample if not.
Example 3
easyAre integers closed under multiplication? Test with \((-3) \times 4\) and \((-2) \times (-5)\).
Example 4
mediumAre integers closed under division? Provide a counterexample if not.