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Absolute Value Distance from zero on a number line Absolute Value 5 =5 The absolute value of 5 is 5 -5 = 5 The absolute value of -5 is 5 Absolute Value The distance away from zero -4 = 4 2 =2 4 steps to 0 -4 -2 2 steps to 0 0 2 4 Absolute Value Find the absolute value key on the HP 39G ABS Absolute Value Simplify: 2-7 Calculator Emulator Simplify: 7-2 Simplify: - 7-2 Absolute Value Simplify: (2-7)2 Simplify: -(2-7)2 Simplify: - -(2-7)2 Calculator Emulator Absolute Value Put your calculator in scientific mode Simplify: (3.2 x 107) – (4.8 x 108) Calculator Emulator Absolute Value Put your calculator in standard mode Simplify: (6.2 x 10-8) – (7.8 x 109) Calculator Emulator Absolute Value Solve: x =4 What numbers work for x? 4 = 4 or -4 = 4 x could = 4 or x could = -4 Absolute Value Solve: -6 x2 + 2 = 4 x + 2 could = 4 or x + 2 could = -4 Always check your answers What numbers work for x? x+2 =4 - 2 -2 x =2 or x + 2 = -4 -2 -2 x = -6 Absolute Value -10 -8 -6 -4 -2 0 2 x+4 >6 x+4 >6 x + 4 could be bigger than 6 x+4 <-6 x + 4 could be less than -6 x+4 >6 -4 -4 x>2 x+4 <-6 -4 -4 x < -10 4 6 8 Absolute Value -10 -8 -6 -4 -2 0 2 4 6 8 x+4 <6 x+4 <6 x + 4 could be less than 6 x + 4 > -6 -6 < x + 4 < 6 x + 4 could be bigger than -6 that means x + 4 could be between -6 and 6 -6 < x + 4 < 6 -4 - 4 -4 -10 < x < 2 “Nothing yet. How about you Newton?”