Zero Property of Multiplication Only works for multiplication Any number multiplied by zero will always be zero Examples: 4 x 0 = 0 0 x 567= 0

Distribute means to give out Who wants an 8? Distributive Property Examples: 27 x 4 = (20 x 4) + ( 7 x 4) 3 x 48= (3 x 40) + (3 x 8) *Break apart ONE of the factors to make the multiplication problem easier to solve.* You can break apart numbers in multiplication problems to make the problems easier to solve. Break apart method!

Commutative Property Only works for multiplication and addition! The ORDER of the numbers does not change the sum of an addition problem of the product of a multiplication problem. Addition: a + b = b + a = Multiplication c x d = d x c 3 x 8 = 8 x 3

Identity Property A number added to zero or multiplied by one is equal to the same number Addition a + 0 = a =15 Multiplication f x 1 = f 4 x 1 =4 Think of your identity, there is only one of you! You always stay the same.

Associative Property Only works for multiplication and addition The GROUPING of the numbers does not change the sum of an addition problem or the product of a multiplication problem. Addition (a + b) + c = a + (b + c) (2 + 3) + 4 = 2 + (3 + 4) = = 9 Multiplication (a x b) x c = a x (b x c) (3 x 2 ) x 5 = 3 x (2 x 5) 6 x 5 = 3 x = 30 Associative Property is similar to Associating with different groups of people. ME Jon Sue