1. Multiplying Integers Objective: To Multiply Integers

2. Multiplying Integers  Rule 1: Positive x Positive = POSITIVE 1) 4(5) = 20 2) 9(7) = 63 3) 12(4.5) = 54

3. Multiplying Integers  Rule 2: Negative x Negative = POSITIVE 1) -2(-7) = 14 2) -10 -9 = 90 3) - 3/4 (- 1/2) = 3/8

4. Multiplying Integers  Rule 3: Negative x Positive = NEGATIVE 1) -6(5) = -30 2) 2 -8 = -16 3) 12(- ½ ) = -6

5. Multiplying Integers  Rule 4: Any Number x 0 = ZERO 1) -4(0) = 0 2) 0(7) = 0

6. Why?  Positive x Positive = POSITIVE Your bank records 5 deposits of $30 each. 5(30) = +150  Positive x Negative = NEGATIVE Your bank records 5 withdrawals of $30 each. 5(-30) = -150  Negative x Positive = NEGATIVE Your bank loses track of 5 deposits of $30 each. -5(30) = -150  Negative x Negative = POSITIVE Your bank loses track of 5 withdrawals of $30 each. -5(-30) = +150

7. Evaluate Expressions with exponents Solve when x = -2 1) x 1 (-2) 1 = (-2) = -2 2) x 2 (-2) 2 = (-2) (-2) = 4 3) x 3 (-2) 3 = (-2) (-2) (-2) = -8 4) x 4 (-2) 4 = (-2) (-2) (-2) (-2) = 16

8. Odd # of Negatives = Negative Even # of Negatives = Positive (-1)(-1) = 1 (2 Negatives = +) (-1)(-1)(-1) = -1 (3 Negatives = - ) (-1)(-1)(-1)(-1) = 1 (4 Negatives = +) (-1)(-1)(-1)(-1)(-1) = -1 (5 Negatives = - ) (-1)(-1)(-1)(-1)(-1)(-1) = 1 (6 Negatives =+) (-1)(-1)(-1)(-1)(-1)(-1)(-1) = -1 (7 Negatives = - ) (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1) = 1 (8 Negatives =+)

9. Odd # of Negatives = Negative Even # of Negatives = Positive (2)(4)(5)(1)(3)(1) = + 120 (0 Negatives) (-2)(4)(5)(1)(3)(1) = -120 (1 Negative) (-2)(-4)(5)(1)(3)(1) = + 120 (2 Negatives) (-2)(-4)(-5)(1)(3)(1) = -120 (3 Negatives) (-2)(-4)(-5)(-1)(3)(1) = + 120 (4 Negatives) (-2)(-4)(-5)(-1)(-3)(1) = -120 (5 Negatives) (-2)(-4)(-5)(-1)(-3)(-1) = + 120 (6 Negatives)