# PROPERTIES OF MULTIPLICATION Rules and strategies for solving Multiplication problems.

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PROPERTIES OF MULTIPLICATION Rules and strategies for solving Multiplication problems.

THE IDENTITY PROPERTY There is only ONE of you. Who you are is your IDENTITY! In multiplication, the identity property states that any number multiplied by 1 stays the same. 23 X 1 = 23 1,245 X 1 = 1,245

THE ZERO PROPERTY Zero means “none”. In multiplication, any number multiplied by zero is zero! 23 X 0 = 0 125 X 0 = 0

THE COMMUTATIVE PROPERTY To commute means to go back and forth. For example, I commute from my house to work each day and then I go back home again. In multiplication, the commutative property says that the order of the factors (numbers) does not change the product (answer) 7 X 4 = 284 X 7 = 28 Factors Product

THE ASSOCIATIVE PROPERTY To associate means to get together with. I like to “associate” with people who enjoy doing the same things I do. In multiplication, the associative property says that the way factors are grouped does not change the product. However, you always have to do the part in parentheses first. 5 X (2 X 4) = 5 X 8 = 40 (5 X 2) X 4 = 10 X 4 = 40

THE DISTRIBUTIVE PROPERTY To distribute means to spread out. For example, when we “distribute” papers to the class, we give one to each person. In multiplication, the distributive property says that you can think of one factor (number) as the sum of two addends. In other words, you can break apart one of the numbers in a multiplication problem and spread it out. 3 X 11 = 3 X (8 + 3) (break it apart) = (3 X 8) + (3 X 3)(spread it out) = 24 + 9 = 33

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