10.2 Adding Signed Numbers What are your objectives for Section 10.2? How can you accomplish each objective? 1 Add Signed Numbers Using a Number Line • Review Section 1.2 if you need more review on adding two positive numbers using a number line. • When adding a negative number, move left on the number line. • Complete the given example on your own. • Complete You Try 1. 2 Add Two Negative Numbers • The sum of two negative numbers is always negative. • Write the procedure for Adding Two Negative Numbers in your own words. • Complete the given example on your own. • Complete You Try 2. 3 Add Numbers with Different Signs • Write the procedure for Adding Two Numbers with Different Signs in your own words. • Complete the given examples on your own by following the procedure you wrote down. • Complete You Trys 3 and 4. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Add Signed Numbers Using a Number Line In Section 1.2, we fi rst learned how to use a number line to add numbers. For example, to add two positive numbers, like 2 4, we start at 0 and move 2 spaces to the right to reach 2. Then, we move 4 more spaces to the right to reach 6. 2 1 4 5 6 27262524 232221 0 1 2 3 4 5 6 7 To add negative numbers, we move to the left. Add using a number line. a) 5 (3) b) 7 4 c) 4 (1) Solution a) Start at 0 and move 5 spaces to the right to reach 5. Then, to add 3, move 3 spaces to the left. We fi nish at 2. b) To add 7 4, move 7 spaces to the left to reach 7. Then, to add 4, move 4 spaces to the right. We fi nish at 3. EXAMPLE 1 5 1 (23) 5 2 23 5 27262524 232221 0 1 2 3 4 5 6 7 27 1 4 5 23 4 27 27262524 232221 0 1 2 3 4 5 6 7 www.mhhe.com/messersmith SECTION 10.2 Adding Signed Numbers 725
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