**Commutative Property of Integers**

The commutative property of integers is a mathematical property that applies to addition and multiplication of integers. It states that the order in which two numbers are added or multiplied does not affect the result. In other words, changing the order of the numbers being added or multiplied does not change the outcome.

**Addition using the Commutative Property**

Let's use the commutative property of integers to solve the given expression:

37 + (-64)

When adding integers, we can rearrange the numbers and still get the same result. Therefore, we can rewrite the expression as:

(-64) + 37

Now, we can add the integers:

(-64) + 37 = -27

So, the value of the expression 37 + (-64) is -27.

**Multiplication using the Commutative Property**

The commutative property also applies to multiplication of integers. Let's use the commutative property to solve an example:

37 * (-64)

We can rearrange the numbers being multiplied:

(-64) * 37

Now, we can multiply the integers:

(-64) * 37 = -2368

So, the value of the expression 37 * (-64) is -2368.

**Summary**

The commutative property of integers states that the order of addition or multiplication does not affect the result. It allows us to rearrange the numbers being added or multiplied. In the given example, we used the commutative property to solve expressions involving addition and multiplication of integers. By rearranging the numbers, we obtained the same results as if we had not changed the order.

The ans is -27 ...and the property used are 1. clisure property and 2. communitative law of addition.