1. Properties Associative, Commutative and Distributive

2. Associative Property The associative property allows you to group numbers differently and still get the same result. For example: Associative Property of Addition: (9 + 6) + 4 = 9 + (6 + 4) Associative Property of Multiplication: (9 * 6) * 4 = 9 * (6 * 4) Note: The associative property does not work for subtraction or division (9 - 6) - 4 = 9 - (6 - 4) 3 - 4 = 9 - 2 -1 = 7 (9 / 6) / 2 = 9 / (6 / 2) (1.5) / 2 = 9 / 3 0.75 = 3

3. Commutative Property The commutative property allows you to change the order of the numbers and still get the same result. For example: Commutative Property of Addition: 6 + 4 = 4 + 6 Commutative Property of Multiplication: 6 * 4 = 4 * 6 Note: The commutative property does not work for subtraction or division 6 – 4 = 4 – 6 2 = - 2 6/ 4 = 4/6 1.5 = 2/3 (or.6667)

4. Distributive Property The distributive property is mostly used to multiply an number through a parenthesis containing addition or subtraction Distributive Property: 10(6 + 5) = 10(6)+10(5)

5. In Review Associative Property changes the grouping Commutative Property changes the order Distributive Property multiplies through a parenthesis containing addition or subtraction You ASSOCIATE with your friends in GROUPS Commute means to move or drive (moves to a different spot)

6. Which Property is This? 3 * 4 * 6 = 6 * 3 * 4 Commutative Property of Multiplication

7. Which Property is This? 5(x - 3) = (5*x) – (5*3) Distributive Property

8. Which Property is This? (2 + 3) + (4 + 6) = (4 + 6) + (2 + 3) Commutative Property of Addition

9. Which Property is This? Associative Property of Addition (2 + 3) + (4 + 6) = 2 + (3 + 4) + 6

10. Which Property is This? 10(3 + 6 + 2) = (10*3) + (10*6) +(10* 2) Distributive Property

11. Which of these is NOT TRUE? (1 + 2) + (3 + 4) = 1 + (2 + 3) + 4 1 + 2 + 3 + 4 = 1 + 4 + 3 + 2 (1 * 2) * (3 * 4) = 1 * (2 * 3) * 4 (1 - 2) - (3 - 4) = 1 - (2 - 3) - 4 The Commutative Property does not work with subtraction

12. Which of these is TRUE? 1 + 2 + 3 + 4 = 1 * 2 * 3 * 4 1 + 2 * 3 + 4 = 1 * 2 + 3 + 4 1 * 2 * 3 * 4 = 2 * 3 * 1 * 4 1 + 2 * 3 * 4 = 2 * 3 + 4 * 1

13. Which of these shows the Associative Property of Addition? a + b + c + d = d + c + a + b a * b * c * d = d * a * c * b (ab) * (cd) = (ac) * (bd) (a + b) + (c + d) = (a + d) + (c + b)