Algebra I Chapter 2-5 and 2-6 Multiplying and Dividing Integers.

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Presentation transcript:

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? 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 StockShares Change in value of one share Computer200 Decreased $3 Utilities150 Increased $2

Multiplying and Dividing Integers Same Sign?Positive answer Same Sign?Positive answer –Even number of negatives Different Sign?Negative answer Different Sign?Negative answer –Odd number of negatives

Examples -3(-12)(-2) -3(-12)(-2) -7(9)(-1) -7(9)(-1) -24(231)(0) -24(231)(0)

Examples -48 ÷ (-6) ÷ ÷ (-6) ÷ ÷ (-8) ÷ ÷ (-8) ÷ -2 0 ÷ 9 0 ÷ 9

Examples -6 [(-5) + (-7)] -6 [(-5) + (-7)] 8[17 – (-3)](1/4) 8[17 – (-3)](1/4) -(3³) [-(2³)] -(3³) [-(2³)]

Try This 4(2³) [-(3³)] 6 4(2³) [-(3³)] 6 (-2)³ (-2)³ (-1) (-1) 23

Reciprocal Two rational numbers whose product is 1 are called multiplicative inverses or reciprocals of each other. 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? What’s the reciprocal of m/n? 0.8? 0.8?

REWRITE AS MULTIPLICATION PROBLEM -4 ÷ 3 = -4 (1/3) -4 ÷ 3 = -4 (1/3) x + 2 = (x+2) (1/5) x + 2 = (x+2) (1/5) = -17 (b) 1/b

Try this Page 83 n – u Page 83 n – u Write the rule for dividing numbers Write the rule for dividing numbers Write the Property of Multiplicative Inverse on page 82 Write the Property of Multiplicative Inverse on page 82 Do #28 – 42 on page 84 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. The table shows record low monthly temperatures from June to November at McMurdo Station in Antarctica. Find the mean of the temperatures. MonthJuneJulyAug.Sept.Oct.Nov. Temp