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Math 20-1 Absolute Value & Reciprocal Functions: Lesson #1 Absolute Value Objective: By the end of this lesson, you will be able to: Warm-Up Mark the numbers 3 and -3 on the number line below. 0 What is the distance from each of the points you plotted to 0? Why is the answer the same regardless of which side of 0 the point is on? The absolute value of a number is The symbol for absolute value is vertical bars on either side of the number or expression: e.g. 1) Evaluate the following: a) 75 b) 3.4 Official Definition of Absolute Value: If a number is positive (or zero), its absolute value is the number itself: If a number is negative, its absolute value is the same number with the opposite sign: We can write this in one statement as follows: Math 20-1 Absolute Value & Reciprocal Functions: Lesson #1 When evaluating an expression that includes absolute value, treat the absolute value signs as __________________ and use __________________________________. e.g. 2) Evaluate the following: a) 5 17 c) 8 3 2 7 b) 5 17 d) 4 3 1 6 2 e.g. 3) The Canadian record for temperature change occurred in Pincher Creek, AB in 1962 when a chinook raised the temperature from -19 °C to +22 °C in one hour. Write an expression using absolute value to show the temperature change. Then determine the change in temperature. e.g. 4) A stock on the Toronto Stock Exchange (TSX) opened the month at $13.85 per share, dropped to $12.70, increased to $14.05, and closed the month at $13.55. a) Determine the net change in the stock for the month. b) Determine the total change in the value of this stock for the month. Assignment: p. 363-367 #1, 2, 4-8, 11-13, 19 For a challenge: #15, 16, 25