1. Number Properties

2. Commutative Property of Addition Words: In a sum, you can add terms in any order. Numbers: 5 + (-6) -6 + 5 Algebra: a + b b + a

3. Commutative Property of Multiplication Words: In a product, you can multiply factors in any order. Numbers: 4(-7) -7(4) Algebra: ab ba

4. Associative Property of Addition Words: Changing the grouping of terms will not change the sum. Numbers: (9 + 8) + 6 9 + (8 +6) Algebra: (a + b) + c a +(b + c)

5. Associative Property of Multiplication Words: Changing the grouping of factors will not change the product. Numbers: (2 x 3) x 4 2 x (3 x 4) Algebra: (ab)c a(bc)

6. Inverse Property of Addition Words: The sum of a number and its additive inverse, or opposite, is 0. Numbers: 5 + (-5) 0 Algebra: a + (-a) 0

7. Inverse Property of Multiplication

8. Identity Property of Addition Words: The sum of a number and the additive identity, 0, is the number. Numbers: -7 + 0 = -7 Algebra: a + 0 = a

9. Identity Property of Multiplication Words: The product of a number and the multiplicative identity, 1, is the number. Numbers: 9 x 1 = 9 Algebra: a(1) = a

10. Modeling

11. Practice Tell which property is being illustrated. a.-3 + 0 = -3 b.15 x 8 = 8 x 15 c.(5 + 4) + 6 = 5 + (4 + 6)

12. Modeling Evaluate the expression. Justify each step. -10.6 + 3 + (-4.4)

13. Modeling

14. Practice