2.  Commutative Property of Addition › The order in which you two numbers does not change the sum › Example: 12 + 3 = 3 + 12  Commutative Property of Multiplication › The order in which you multiply two numbers does not change the product › Example: 9 x 4 = 4 x 9

3.  Commute means to travel  You commute from home to school  You commute from school to home  The distance is the same each way, the order does not matter › 4 + 5 = 5 + 4 › Home + school = school + home › You get the same answer!

4.  Associative Property of Addition › The way you group the numbers does not change the sum › Example: (5 + 2) + 8 = 5 + (2 + 8)  Associative Property of Multiplication › The way you group the numbers does not change the product › Example: (2 x 4) x 6 = 2 x (4 x 6)

5.  Associate means to hang out with someone  Bob, Fred and Jack are friends › On Monday Bob and Fred hang out › On Tuesday Fred and Jack hang out › The 3 boys are all still friends! › (B + F) + J = B + (F + J) › (2 + 8) + 3 = 2 + (8 + 3) › You get the same answer!

6.  Identity Property of Addition › If you add zero to any number, that number remains the same › Example: 27 + 0 = 27  Identity Property of Multiplication › If you multiply any number by one, that number remains the same › Example: 32 x 1 = 32

7.  When you have Identification, it shows who you are- you are not changed on your ID card  The identity property does not change the number

8.  Zero Property of Multiplication › If you multiply any number by zero, the product is zero › Example: 17 x 0 = 0 › Do not get tricked! There is only a Zero Property for Multiplication › If there is a zero in an addition problem, it is the identity property 3 + 0 = 3

9.  You distribute (spread out)an equation, it does not matter if you multiply first or add/subtract first  Distributive Property of Addition › 4(2+3) = (4x2) + (4x3)  Distributive Property of Subtraction › 7(5-6) = (7x5) - (7x6)

10.  Distribute means to hand out  4(2+3) = (4x2) + (4x3)  The 4 was handed out to the 2 and the 3  Distributive property has more parenthesis on one side and more numbers

11.  Inverse Property of Addition › You add together the given number and it’s opposite › You always get 0 as an answer › Example: 2+ -2= 0  Inverse Property of Multiplication › You multiply a number or a fraction by it reciprocal/inverse › You always get 1 as an answer › Example: 3 x 1/3 = 1