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Chapter 2 Integers and Rational Numbers (take out chapter 1 from your notebook and leave ch1 stuff at home in a folder to study off of for star test and final project) 2.1 Integers and the Number Line • Objectives: 1. To give an integer that corresponds to a real-world situation 2. To compare integers using < and > 3. To find the absolute value of a number Integers •Any number such as . . . –4, -3, -2, -1, 0, 1, 2, 3, 4 . . . •Positive Integers are greater than zero. •Negative Integers are less than zero. •“Zero” is neither positive or negative. Number Line -6 -4 -2 0 2 4 6 Two numbers are OPPOSITES of one another if they are the same distance from zero but in opposite directions. -6 -4 -2 0 2 4 6 6 and -6 are opposites. 4 and -4 are opposites -6 -4 -2 0 2 4 6 Absolute Value: The number of units a number is from zero on the number line. (Always Positive) -6 -4 -2 0 2 |-4| = 4 4 6 Absolute Value: (Always Positive) -6 -4 -2 0 2 |6| = 6 4 6 Find the Opposite and the Absolute Values of -7 -6 -4 -2 0 2 4 6 Find the Opposite and the Absolute Values of -7 7 units -6 -4 7 units -2 0 2 4 Opposite of –7 is 7 6 Find the Opposite and the Absolute Values of -7 |-7| = 7 7 units -6 -4 -2 0 2 4 6 Evaluating Absolute Value Before you evaluate find the absolute value of the number then do the operation Example: -5 + 4 = 5+4=9 Example: Evaluate t – 15 for t = -36 = -36 -15 =36-15 =21 Write an integer that means “a profit of $4 +4 Write an integer that means “12 yards gained” +12 Write an integer that means “a loss of 73 points on the NASDAQ” -73 Write an integer that means “losing 11 pounds on a diet” -11 On a number line, values INCREASE as you go RIGHT -6 -4 -2 0 2 4 6 Big Number > Little # Or • Little # < Big Number True or False? -5 < 7 -6 -4 -2 0 True 2 4 6 True or False? -6 < -2 -6 -4 -2 0 True 2 4 6 True or False? 6 < 0 -6 -4 -2 0 2 False 4 6 True or False? -6 > 5 -6 -4 -2 0 2 False 4 6 Write the integers –4, 5, 3, -2, and 0 from least the greatest. -6 -4 -2 0 2 4 -4, -2, 0, 3, 5 6 The Number Line Dance Homework • Page 57 (2-54) even Remember to write the problem!!