Which property justifies the statement below?
(9 + x) + y = 9 + (x + y)
Group of answer choices
Inverse Property
Identity Property
Communtative Property
Associative Property
Identity
associative
identity is x+0 = x
12⋅1=12
The property that justifies the statement (9 + x) + y = 9 + (x + y) is the Associative Property.
To understand why, let me explain the Associative Property of addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In other words, you can change the grouping of the numbers being added without changing the result.
In the statement (9 + x) + y = 9 + (x + y), we have three numbers being added: 9, x, and y. According to the Associative Property of addition, we can rearrange the grouping of these numbers without changing the sum.
By regrouping the numbers on the left side of the equation, we can rewrite it as 9 + (x + y). Similarly, on the right side of the equation, we have 9 + (x + y). Therefore, the equation is justifying the Associative Property of addition.