Which property is illustrated by the following statement?
5g + 7 = 7 + 5g
The property illustrated by the following statement is the commutative property of addition.
The property illustrated by the given statement is the commutative property of addition.
The property illustrated by the statement "5g + 7 = 7 + 5g" is the commutative property of addition.
The commutative property of addition states that the order of adding two or more numbers does not affect the sum. In other words, changing the order of the numbers being added does not change the result.
To understand why this statement illustrates the commutative property of addition, let's break it down:
On the left side of the equation, we have "5g + 7". This means we are adding the product of 5 and g to 7.
On the right side of the equation, we have "7 + 5g". This means we are adding 7 to the product of 5 and g.
Since addition is commutative, the order in which we add these terms does not matter. No matter whether we first add 5g or 7, the result will be the same.
So, the commutative property of addition is illustrated by the fact that "5g + 7" is equal to "7 + 5g".