The rule for Commutative Property of Addition is 

Expression given in the question is: 

Hence the property is Commutative of Addition.

Correct Answer: Communitive Property of Addition

This property states that any set of terms can be added together in any order to achieve the same solution.

The commutative property of addition states that two numbers can be added in either order to obtain the same sum. Of the given responses, only

demonstrates this property, so it is the correct choice.

The property is defined as:

Switching the order of the numbers and adding the numbers will yield the same result.

The only answer is:  

Write the rule for the commutative property of addition, letting  and  be any number.

Changing the order of these two numbers will not affect the final answer.

The best choice is:  

The commutative property of mulitplication states that the order in which 2 numbers are multiplied does not affect the result:

Or in this case,

The rule for Commutative Property of Multiplication is 

Using this rule, the expression  can be written as 

The commutative property states that factors can be multiplied in any order and the product is always the same. While each of our answer choices are real equations, only one correctly displays this property:

This problem could easily turn into some super heavy calculations, but nobody has time for that.  Instead, we can make this problem very easy by utilizing the commutative property of multiplication, which in essence says that numbers can be multiplied in any order.  

In other words,     and    

That means that rather multiplying our numbers in their orginal order, which can actually change the order of the numbers without affecting the final product.  At this point we should notice that one of our numbers is  while another is .  Similarly the fractions  and  are each accompanied by their recripocals  and  respecitively.  At this point we must also remember the multiplicative inverse property, which tells us that the product of a number and its reciprocal will always be 1.  With that in mind, the strategic way to order the multiplication is as follows:

Doing this pairs each number up with its reciprocal.  Finally, we can utlize the associative properpty of multiplication, which tells us that we can multiply any two numbers at a time.

In other words, .  This allows us to pair off the multiplication as follows.

Within each parentheses we now have a number multiplied by its reciprocal.  Remembering that this always equals 1, we can simplify, giving

Our answer is 1.

The communitive property of multiplication is a property that states that the numbers can be multiplied in any combination. To show which answer is correct simply regroup the numbers in a different or and you will have your answer.