Commutative+Property

__**Commutative Property for Multiplication**__
by: Desiree

Commutative comes from commute or move around, so the Commutative Property is the one that refers to moving stuff around. The commutative property for multiplication is a lot like addition. It doesn't matter the orders we put the numbers. For example 5x4 can be written as 4x5. They equal the same thing, but the numbers are in a different order.

More examples 3 x 5 = 5 x 3 4 x 7 = 7 x 4 1 x 9 = 9 x 1

__**Commutative Property for Addition**__
by: Yousef

The commutative property for addition is very easy. It simply states that in an addition problem, it doesn't matter in which order you add the numbers in the addition problem. Thus, with the commutative property, you are allowed to move around numbers wherever you want in the problem. In a long expression where you have to combine like terms, you can move around like terms and combine them.

Examples: 10 + 3 = 3 + 10 --> They give you the same sum (13) despite the order in which they are added. 23 + 34 = 34 + 23 --> They give you the same sum (57) despite the order in which they are added. 4 + 5 = 5 + 4 --> They give you the same sum (9) despite the order in which they are added.

Section 8, Problem 3. 3 + 6a + -4 + -5a --> you can move around like terms like 3 and -4, and combine them using the commutative property, since this is an addition problem. After combining the like terms: 6a and -5a, and 3 and -4 The problem is simplified to: -1 + 1a