1. Day Problems Simplify each expression. 1. -4 – 62. 5.3 – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = -4. 4. a – b + c5. |c + a + 5|

2. 1.6 Multiplying and Dividing Real Numbers For every real number n: The product of a number and 1 is the original number. - identity property : n 1 = n Ex. 3 1 = 31 -5 = -5 The product of 0 and a number is 0. - Multiplication property of zero: n 0 = 0 Ex. 8 0 = 00 -6 = 0 The product of -1 and a number is the opposite of the original number. – Multiplication property of -1 : -1 n = -n Ex. 10 -1 = -10-30 -1 = 30

3. Multiplying Positive and Negative Numbers Multiplying numbers with the SAME SIGN –The product of two positive numbers or two negative numbers is positive. Ex. 5 2 = 10-5 (-2) = 10 Multiplying numbers with DIFFERENT SIGNS –The product of a positive number and a negative number, or a negative number and a positive number, is negative. Ex. 3 (-6) = -18-3 6 = -18

4. Multiplying Numbers Simplify each expression. a.-9 (-4) = 36 b.

5. Evaluating Expressions Evaluate -2xy for x = -20 and y = -3. -2xy = -2 (-20) (-3) = 40 (-3) = -120

6. Simplifying Exponential Expressions Use the order of operations to simplify each expression. a. -3 4 = - (3 3 3 3) = -81 b.(-3) 4 = (-3)(-3)(-3)(-3) = 81

7. Dividing Real Numbers Dividing Numbers with the Same Sign –The quotient of two positive numbers or two negative numbers is positive. Ex. 6 ÷ 3 = 2-6 ÷ (-3) = 2 Dividing Numbers with Different Signs –The quotient of a positive number and a negative number, or a negative number and a positive number, is negative. Ex. -6 ÷ 3 = -26 ÷ (-3 ) = -2

8. Dividing Numbers Simplify each expression. a. 12 ÷ (-4) = -3 b.-12 ÷ (-4) = 3

9. Evaluating Expressions Evaluate for x = -20, y = 6, and z = -1.