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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7. Warm Up Graph each number on a number line. 1. –5 2. 7 3. –4 4. 0. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 Warm Up Graph each number on a number line. 1. –5 2. 7 3. –4 4. 0

  3. Problem of the Day Start at 0 on a number line. Move 5 units left and 3 units right. Where are you on the number line? –2

  4. Learn to add integers.

  5. 2 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Helpful Hint To add a positive number move to the right. To add a negative number move to the left. Additional Example 1A: Using a Number Line to Add Integers Use a number line to find the sum. (–6) + 2 –6 You finish at –4, so (–6) + 2 = –4.

  6. –3 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 Additional Example 1B: Using a Number Line to Add Integers Use a number line to find the sum. –3 + (–6) –6 You finish at –9, so –3 + (–6) = –9.

  7. 7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 1A Use a number line to find the sum. (–3) + 7 –3 You finish at 4, so (–3) + 7 = 4.

  8. 4 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 1B Use a number line to find the sum. (–2) + 4 –2 You finish at 2, so (–2) + 4 = 2.

  9. When adding integers, we must separate the problems in two groups. Same signs Different signs

  10. Additional Example 2: Using Absolute Value to Add Integers Add. A. 1 + (–2) 1 + (–2) –1 B. (–8) + 5 (–8) + 5 –3

  11. Additional Example 2: Using Absolute Value to Add Integers Add. C. (–2) + (–4) (–2) + (–4) –6

  12. Check It Out: Example 2 Add. A. 3 + (–6) 3 + (–6) –3 B. (–4) + 1 (–4) + 1 –3

  13. Check It Out: Example 2C Add. C. (–6) + (–7) (–6) + (–7) –13

  14. Additional Example 3: Evaluating Expressions with Integers Evaluate c + 4 for c = –8. c + 4 (–8) + 4 Replace c with –8. -4 8 > 4; use the sign of 8.

  15. Check It Out: Example 3 Evaluate d + 7 for d = –3. d + 7 (–3) + 7 Replace d with –3.

  16. Additional Example 4: Application Meka opened a new bank account. Find her account balance after the first four transactions listed below. Deposits: $200, $20 Withdrawals: $166, $38 Use a positive sign for deposits and a negative sign for withdrawals. 200 + 20 + (–166) + (–38) Add integers within each group. 220 + (–204) 16 Meka’s account balance after the first four transactions is $16.

  17. Check It Out: Example 4 Michael opened a new bank account. Find his account balance after the first four transactions listed below. Deposits: $175, $95 Withdrawals: $133, $65 Use a positive sign for deposits and a negative sign for withdrawals. 175 + 95 + (–133) + (–65) 270 + (–198) Add integers within each group. 72 Michael’s account balance after the first four transactions is $72.

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