46 Chapter 1 The Set of Real Numbers Using the Number Line to Add Real Numbers Example 1 Use the number line to add the numbers. a. b. c. Solution: a. Start at , and count 2 units to the right. 5 2 1 142 7 142 Start 6 5 4 3 2 1 0 1 2 3 4 5 6 Start 6 5 4 3 2 1 0 1 2 3 4 5 6 Start 3 2 1 0 1 2 3 4 5 6 7 8 9 5 2 3 5 1 142 5 b. Start at 1 , and count 4 units to the left. 7 142 3 c. Start at 7, and count 4 units to the left. Skill Practice Use the number line to add the numbers. 5 4 3 2 1 0 1 2 3 4 1. 2 4 2. 2 132 3. 5 162 TIP: Note that we move to the left on the number line when we add a negative number. We move to the right when we add a positive number. Answers 1. 2 2. 5 3. 1 2. Addition of Real Numbers When adding large numbers or numbers that involve fractions or decimals, counting units on the number line can be cumbersome. Study the following example to determine a pattern for adding two numbers with the same sign. Start 6 5 4 3 2 1 0 1 2 3 4 5 6 Start 6 5 4 3 2 1 0 1 2 3 4 5 6 1 4 5 1 142 5 Adding Numbers with the Same Sign To add two numbers with the same sign, add their absolute values and apply the common sign. Adding Real Numbers with the Same Sign Example 2 Add. a. b. c. 4 3 a 6 7 12 1142 8.8 13.72 b
miller_beginning_intermediate_algebra_4e_ch1_3
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