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To verify that multiplication is commutative with any two integers, you can choose two integers, such as 3 and 5, and multiply them:
3 x 5 = 15
Now, reverse the order and multiply them again:
5 x 3 = 15
As you can see, 3 x 5 is equal to 5 x 3, showing that multiplication is commutative.
On the other hand, to show that division is not commutative with integers, let's use the same integers, 3 and 5:
When you divide 3 by 5:
3 ÷ 5 = 0.6
If you reverse the order and divide 5 by 3:
5 ÷ 3 = 1.67
Here, you can see that 3 ÷ 5 is not equal to 5 ÷ 3, demonstrating that division is not commutative with integers.
I hope this helps you understand the concept better! Let me know if you need further clarification.