# Properties Identification: Associative, Commutative

#### John Whitaker

##### Junior Member
The original expression is: ( x + 5 ) + y
One of the following is supposed to be Associative, and the other, Commutative.
x + (5 + y )
x + (y + 5 )
Is there anything that pinpoints the difference? They both look the same except for flipping the terns inside the parentheses.
Thank you.
John Whitaker

#### tkhunny

##### Moderator
Staff member
Associative - Grouped Differently
Commutative - In a Different Order

#### John Whitaker

##### Junior Member
Thank you, but that doesn't help. They are grouped differently, and in a different order.

#### stapel

##### Super Moderator
Staff member
John Whitaker said:
Thank you, but that doesn't help.
Why not? Follow through, step-by-step, and apply the definitions provided.

In going from the first expression to the second expression, what changed? What rule corresponds to that change? In going from the second expression to the third expression, what changed? What rule corresponds to that change?

Eliz.