a+(b+c)=a+(c+b)

Communicative property of addition
Communicative property of multiplication
Associative property of addition
Associative property of multiplication

I don't know which one to pick for this one:p
Please help, thanks

well, what has changed?

b and c changed places.

Unfortunately, it's called "commutative" not "communicative"

I guess you weren't communicating to well when the topic was covered.

It's Commutative Property

NOT Communicative!

To determine which property is being demonstrated in the given equation "a + (b + c) = a + (c + b)," let's first understand the definitions of the properties mentioned:

1. Commutative Property of Addition: This property states that the order in which numbers are added does not affect the result. It can be expressed as: a + b = b + a.

2. Commutative Property of Multiplication: This property states that the order in which numbers are multiplied does not affect the result. It can be expressed as: a * b = b * a.

3. Associative Property of Addition: This property states that the grouping of numbers being added does not affect the result. It can be expressed as: (a + b) + c = a + (b + c).

4. Associative Property of Multiplication: This property states that the grouping of numbers being multiplied does not affect the result. It can be expressed as: (a * b) * c = a * (b * c).

Looking at the given equation: a + (b + c) = a + (c + b)

We can see that the inner expressions (b + c) and (c + b) are being added to the variable a.

By observing the equation, we can see that it matches the form of the Associative Property of Addition: (a + b) + c = a + (b + c).

Therefore, the property being demonstrated in the equation is the Associative Property of Addition.