The commutative property
It states that the numbers to operate can be swapped or moved from their position without changing the result of the operation.
For example, adding 5+6 gives the same result as adding 6+5.
The commutative property can be applied to several operations like sum and multiplication.
Let's analyze each one of the given options.
• (wh)k=w(hk)
Both sides of the equality give the same result, but not because of the commutative property. Note the parentheses don't have the same contents, thus it cannot be considered as swapping the variables or numbers.
• 7x(5y+4)=35xy+28x
This example is not an application of the commutative property. There is not even an identical expression swapped or changed positions.
• 7z*8y=8y*7z
Note that factor 7z is at the left side of the expression and on the other side of the equation, it appears at the right side. The same applies to factor 8y. This is an example of the commutative property
• 7(2x+7)=14x+49
As the second example, there are no identical factors or summands that appear swapped or moved.
Summarizing, only the third example: 7z*8y=8y*7z is an example of the commutative property