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Math 7 – 3 Multiplication Properties – Notes Name __________________________________ Date ___________________________________ Zero Property When you multiply any number by zero, the product is ___________________ Examples: Identity Property When you multiply a number by 1, the product will always be that _____________________________. The number keeps its own _______________________________ —_______________________________________ Ex: Commutative Property In multiplication, if you change the __________________________________________, the product ___________________ ___________________________ Ex: Associative Property The associative property is also known as the _____________________________ property’. You can ________________________________________________________ of the factors and the product will be the same! Ex: That problem has _____________________________. Parenthesis tell us what part of the problem to do _________________________. __________________________________ do what’s in the parenthesis _______________. Let’s Multiply 3 Factors There are different ways that you can find the product of 3 x 4 x 2. (3 x 4) x 2 – You can ____________________________________________________ and get 3 x (4 x 2) – This is the ________________________________________________ Guided Practice: 1 (4 x 5) x 1 = 4 x (5 x 1) = 2. (2 x 6) x 2 = 2 x (6 x 2) = 3. (5 x 2) x 2 = 5 x (2 x 2) = Independent Practice 1. 3x3x4= 2. 2x5x8= 3. 3x3x3 Distributive Property The _________________________________________ property says that multiplying a number by a group of numbers added together, is the same as doing each multiplication separately. 3 x 5 = 15 Guided Practice 1. 5 x 7 = 35 2. 3 x 13 = 39 Why would I want to use the distributive property? __________________________________________________________________________ __________________________________________________________________________ Practice: 1. 8 x 13 = 2. 4 x 15 3. 3 x 27 Identify which property of multiplication is shown: 4x6x5– 4,589 x 0 9x6=6x9 14, 855 x 1 = 56 x 5 x 7 (56 x 5) x 7 = 56 x (5 x 7) 4 x 26 – 4 x 10 + 4 x 10 + 4 x 6 4x1= Create the Tree Map from the Powerpoint and fill in the examples: Properties of Multiplication Zero identity Commutative Associative Distributive