Properties Identification: Associative, Commutative

John Whitaker

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May 9, 2006
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If you please:
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

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Associative - Grouped Differently
Commutative - In a Different Order
 

John Whitaker

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May 9, 2006
Messages
89
Thank you, but that doesn't help. They are grouped differently, and in a different order.
 

stapel

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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.
 
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