Commutative property states that in addition and multiplication changing the order of operands does not change the result. Division and subtraction are not commutative.
We will see commutative property of addition by example. Let us take any two numbers like 5 and 3. Now let us add these numbers.
Now we will add these number by switching their order.
We can see that changing order of our numbers has not affected our answer. We got 8 by either way.
Now we will see commutative property of multiplication. We will take the same numbers and multiply them.
Now let us change order of our numbers.
We have seen from our above examples that order doesn't matter in addition and multiplication of numbers, therefore, addition and multiplication of numbers are commutative operations.
Now let us see if this true for division and subtraction.
We can see that . As order matters in subtracting numbers, therefore, subtraction of numbers is not a commutative operation.
Now let us see an example if division is commutative or not.
We can see that . As order matters in multiplying numbers, therefore, multiplication of numbers is not a commutative operation.