**Multiplication Madness...**

We need to know a different ways to multiply...you might be asked to use a specific method to get your answer in a test like the PARCC. They are all related and all contain partial products.

** **

** **

**The Expanded Algorithm 1**

** **

https://www.youtube.com/watch?v=4yP1PPLZt0Q

** **

https://www.youtube.com/watch?v=kMiIeyTMrck

**The Area Model**

** **

https://learnzillion.com/lessons/23-solve-1-by-1-digit-multiplication-problems-using-area-model

https://learnzillion.com/lessons/24-solve-2-by-2-digit-multiplication-problems-using-area-model

https://www.youtube.com/watch?v=5QZnVBlMhNs

https://www.youtube.com/watch?v=3EIBMzDdCd0

**The Partial Product Method **

** **

** **

https://www.youtube.com/watch?v=htN1CDwo-VY

https://www.youtube.com/watch?v=q-6Owg7joIQ

**Using the Distributive Property**

**Remember the Properties of Multiplication (you NEED to know these)**

**Commutative Property: **

When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.

For example 4 x 2 = 2 x 4

**Associative Property: **

When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.

For example (2 x 3) x 4 = 2 x (3 x4)

**Multiplicative Identity Property: **

The product of any number and one is that number.

For example 5 x 1 = 5.

**Distributive Property: **

The sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example 4 x (6 + 3) = 4 x 6 + 4 x 3

Below are some fast multiplication tricks you can use in mental math...you might use these in a contest link the Math Olympiad.

**Multiplication Tricks (you do NOT need to know this)**

** **

https://www.youtube.com/watch?v=PYrgjMubh-c

https://www.youtube.com/watch?v=SV1dC1KAl_U

https://www.youtube.com/watch?v=Rgw9Ik5ZGaY