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Zero Property of Multiplication. Any number multiplied by zero will always be zero. Only works for multiplication. Examples: 4 x 0 = 0 0 x 567= 0. Distributive Property. You can break apart numbers in multiplication problems to make the problems easier to solve. Examples:
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Zero Property of Multiplication Any number multiplied by zero will always be zero Only works for multiplication Examples: 4 x 0 = 0 0 x 567= 0
Distributive Property You can break apart numbers in multiplication problems to make the problems easier to solve. 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.* Who wants an 8? Break apart method! Distribute means to give out
Commutative Property The ORDER of the numbers does not change the sum of an addition problem of the product of a multiplication problem. Multiplication c x d = d x c 3 x 8 = 8 x 3 Addition: a + b = b + a 6 + 3 = 3 + 6 Only works for multiplication and addition!
Identity Property A number added to zero or multiplied by one is equal to the same number Addition a + 0 = a 15 + 0 =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 The GROUPING of the numbers does not change the sum of an addition problem or the product of a multiplication problem. Only works for multiplication and addition Addition (a + b) + c = a + (b + c) (2 + 3) + 4 = 2 + (3 + 4) 5 + 4 = 2 + 7 9 = 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 10 30 = 30 Associative Property is similar to Associating with different groups of people. Sue ME Jon