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Answers
Closure property of addition of integers
The best example of showing the closure property of addition is with the help of real numbers. Since the set of real numbers is closed under addition, we will get another real number when we add two real numbers. Here, there will be no possibility of ever getting anything (suppose complex number) other than another real number.
Define Distributive property of subtraction of integers
The distributive properties of addition and subtraction can be utilized to rewrite expressions for different purposes. When you multiply a number by a sum, you may add and multiply. Also, you can first multiply each addend and then add the products. This applies to subtraction as well. In every case, you disturb the outer multiplier to every value in the parenthesis, so that multiplication occurs with every value before addition or subtraction.
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