which property is illustrated by the following statement?
5g + 7 = 7 + 5g
The property illustrated by the statement is the commutative property of addition.
The property illustrated by the statement "5g + 7 = 7 + 5g" is the Commutative Property of Addition.
The property illustrated by the given statement is the commutative property of addition. The commutative property of addition states that changing the order of addends does not change the sum. In this case, it means that swapping the positions of 5g and 7 does not affect the result.
To understand why this is the commutative property, let's break down the equation: 5g + 7 = 7 + 5g.
Both sides of the equation have the same terms, 5g and 7, but they are written in different orders. The commutative property allows us to rearrange those terms without changing the outcome.
In this case, we can observe that both equations have the sum of 5g and 7, but with their positions reversed. This demonstrates the commutative property. No matter which side you start with, the end result will be the same.