Let's review the properties using variables instead of numbers:

Addition | Multiplication | |
---|---|---|

Commutative | ||

Associative | ||

Inverse | ||

Identity |

The properties above do *NOT work with subtraction and division.*

Here's a handy visual aid on reviewing the properties:

This one is very important when working with algebraic expressions. It basically says this:

and

However, the distributive property does NOT work when the variables inside the parentheses are being multiplied or divided.

and

Let's go through an example very carefully:

By applying the distributive property, we can multiply each term inside the parentheses by 4. This is called "distributing".

Since 12x and 4 are not like terms, this is as far as we can go with the problem.

Well, what about subtraction? Let's look at a subtraction problem using two different methods.

Method 1 Leave as Subtraction | Method 2 Add the Negative |
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Next Page: Multiplying Monomials

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