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Algebra I Chapter 2-5 and 2-6 Multiplying and Dividing Integers Group Work • You own shares of stock in a computer company and in a utility. The value of the shares changes over time. The table shows the number of shares of each type of stock you own and the change in the value of each share over a one-year period. What was the total change in the value of your shares of stock? Stock Portfolio Stock Shares Computer 200 Utilities 150 Change in value of one share Decreased $3 Increased $2 Multiplying and Dividing Integers • Same Sign? Positive answer – Even number of negatives • Different Sign? Negative answer – Odd number of negatives Examples • -3(-12)(-2) • -7(9)(-1) • -24(231)(0) Examples • -48 ÷ (-6) ÷ -1 • 56 ÷ (-8) ÷ -2 •0÷9 Examples • -6 [(-5) + (-7)] • 8[17 – (-3)](1/4) • -(3³) • [-(2³)] Try This • 4(2³) • [-(3³)] • 6 • (-2)³ • (-1) 23 Reciprocal • Two rational numbers whose product is 1 are called multiplicative inverses or reciprocals of each other. What is the reciprocal of 8/9? • What’s the reciprocal of m/n? • 0.8? REWRITE AS MULTIPLICATION PROBLEM • -4 ÷ 3 = -4 (1/3) • x + 2 = (x+2) (1/5) 5 -17 = -17 (b) 1/b Try this • Page 83 n – u • Write the rule for dividing numbers • Write the Property of Multiplicative Inverse on page 82 • Do #28 – 42 on page 84 Find the Mean • The table shows record low monthly temperatures from June to November at McMurdo Station in Antarctica. Find the mean of the temperatures. Month June July Aug. Sept. Oct. Nov. Temp -42 -59 -57 -47 -40 -19