SOLUTION: Can you please help me to understand the associative and commutative property?

Question 538699: Can you please help me to understand the associative and commutative property?

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Consider a binary operation * (such as addition, subtraction, multiplication).

The operation * is associative if a*(b*c) = (a*b)*c for all a,b,c. In other words, the order of which operation is done first does not matter.

The operation * is commutative if a*b = b*a. This means that the order of your arguments (a,b) does not matter.

Addition and multiplication are both associative and commutative. Note that associativity and commutativity are not limited to addition and multiplication (other operations, like vector dot products, are commutative).
RELATED QUESTIONS
I am completely confused on understanding the differences between Commutative property... (answered by rfer)

25. Name the property of addition that is illustrated. 7 + (6 + 8) = 7 + (8 + 6) A)... (answered by jim_thompson5910)

please can u tell me the proof of COMMUTATIVE PROPERTY... (answered by Edwin McCravy)

My question is how can i find an easier way to tell which problems are associative and... (answered by Theo)

I have to do a project about the associative property. I need example problems but I... (answered by Electrified_Levi)

iam working on my algebra credit recovery packet and i have searched the web but i cant... (answered by Earlsdon)

Please explain and solve this for me: (-14) - (-128) = and (-12) - (-7) =... (answered by CubeyThePenguin)

Can someone verify if I got the correct answers please? 1. x*1=1 is identity property (answered by josgarithmetic)