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Multiplication Madness...


We need to know a different ways to 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




The Area Model




The Partial Product Method





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 might use these in a contest link the Math Olympiad.




Multiplication Tricks (you do NOT need to know this)