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Evaluate the Following: – 8 – (-11) -8 + 11 = 3 3.5 – 10.4 -6.9 7–7 0 Section 1-6: Multiplying and Dividing Real Numbers (+) * (+) = (+) (- ) * (-) = (+) (+) * (-) = (-) (-) * (+) = (-) Examples: 8 * 3 = 24 -6 * 3 = -18 -4 * -5 = 20 9 * -2 = -18 (+) / (+) = (+) (- ) / (-) = (+) (+) / (-) = (-) (-) / (+) = (-) Examples: 9/3= 3 -6 / 3 = -2 -15 / -5 = 3 10 / -2 = -5 For every nonzero real number a, 1 there is exactly one number such 𝑎 1 that 𝑎 ∗ = 1. 𝑎 1 𝑎 is called the reciprocal or multiplicative inverse of a. Write the reciprocal of each number. 1 8∗ =1 8 7= 1 7 2 3 3 2 −4 3 = = −3 4 Another way to divide numbers is the multiply by reciprocals. Example: 4 5 ÷ 3 10 = 4 5 ∗ 10 3 = 40 15 = Example: 5 9 ÷ (−3)= 5 9 ∗ 1 −3 = 5 −27 8 3 Let a represent any real number. The product of any real number and zero is zero. a*0=0 Zero divided by any nonzero real number is zero to 0. 0 𝑎 = 0 where a is not equal Division by zero is undefined (not possible). Zero doesn’t have a reciprocal. 1-6 Worksheet: 1-11, 15-22, 26-34, 38, 40