Concept explainers
Writing Explain why the commutative and associative properties don’t hold true for subtraction and division but the identity properties do.
To explain:why the commutative and associative properties don't hold true for subtraction and division but the identity properties do.
Explanation of Solution
First we explain for subtraction
as we know that
In
For example: Let
Hence,
hence not associative
Now we explain for division
as we know that
In
For example: Let
Hence,
so
hence not Associative
But they follow the identity property
Addition and subtraction identity is '0'
Let
here
Hence, they follow the identity property of subtraction.
Multiplication and division identity is '1'
Let
here
Hence they follow the identity property of division.
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