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3-3. Adding Integers. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 3-3. Adding Integers. Course 2. Warm Up Find each absolute value. 1. |8| 2. | –6 | 3. | – 9| 4. | – 7| 5. | – 12| 6. |53|. 8. 6. 9. 7. 12. 53. 3-3. Adding Integers. Course 2.

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  1. 3-3 Adding Integers Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 3-3 Adding Integers Course 2 Warm Up Find each absolute value. 1.|8| 2. |–6| 3. |–9| 4. |–7| 5. |–12| 6. |53| 8 6 9 7 12 53

  3. 3-3 Adding Integers Course 2 Problem of the Day Jan’s yearly salary is $30,000, and it will be increased by $3,000 each year. Phil’s salary is $20,000, and it will be increased by $5,000 each year. In how many years will Jan and Phil both have the same yearly salary? 5 years

  4. 3-3 Adding Integers Course 2 Learn to add integers.

  5. 3-3 Adding Integers –14 –12 –10 –8 –6 –4 –2 0 2 Course 2 Additional Example 1A: Modeling Integer Addition Add. A. –7 + (–4) –7 +(–4) Start at 0. Move left 7 spaces. Then move left 4 more spaces. –7 + (–4) = –11

  6. 3-3 Adding Integers –12 –10 –8 –6 –4 –2 0 2 4 6 8 Course 2 Additional Example 1B: Modeling Integer Addition Add. B. –12 + 19 19 –12 Start at 0. Move left 12 spaces. Then move right 19 spaces. –12 + 19 = 7

  7. 3-3 Adding Integers –14 –12 –10 –8 –6 –4 –2 0 2 Course 2 Insert Lesson Title Here Try This: Example 1A Add. A. –4 + (–5) –4 +(–5) Start at 0. Move left 4 spaces. Then move left 5 more spaces. –4 + (–5) = –9

  8. 3-3 Adding Integers –12 –10 –8 –6 –4 –2 0 2 4 6 8 Course 2 Insert Lesson Title Here Try This: Example 1B Add. B. –7 + 12 12 –7 Start at 0. Move left 7 spaces. Then move right 12 spaces. –7 + 12 = 5

  9. 3-3 Adding Integers Course 2 To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers. To add two integers with different signs, find the difference of their absolute values. Use the sign of the integer with the greater absolute value.

  10. 3-3 Adding Integers Course 2 Additional Example 2A: Adding Integers using Absolute Values Add. –4 + 8 The signs are different. –4 + 8 Find the difference of the absolute values. Think: 8 – 4 = 4. Use the sign of the integer with the greater absolute value (positive). 4

  11. 3-3 Adding Integers Course 2 Additional Example 2B: Adding Integers Using Absolute Values Add. 23 + (–35) The signs are different. Find the difference of the absolute values. 23 + (–35) Think: 35 – 23 = 12. Use the sign of the integer with the greater absolute value (negative). –12

  12. 3-3 Adding Integers Course 2 Insert Lesson Title Here Try This: Example 2A Add. The signs are different. –5 + 3 –5 + 3 Find the difference of the absolute values. Think: 5 – 3 = 2. Use the sign of the integer with the greater absolute value (negative). –2

  13. 3-3 Adding Integers Course 2 Insert Lesson Title Here Try This: Example 2B Add. –13 + (–24) The signs are the same. –13 + (–24) Find the sum of the absolute values. Think: 13 + 24 = 37. Use the sign of the two integers (negative). –37

  14. 3-3 Adding Integers Helpful Hint To help you remember the rules for adding integers, think: if the signs are the same, find the sum. If the signs are different, find the difference. Course 2

  15. 3-3 Adding Integers Course 2 Additional Example 3: Evaluating Expressions with Integers Evaluate x + y for the given values. x = –42, y = 71 x + y Substitute for x and y. The signs are different. –42 + 71 Find the difference of the absolute values. Think: 71 – 42 = 29. 29 Use the sign of the integer with the greater absolute value (positive).

  16. 3-3 Adding Integers Course 2 Insert Lesson Title Here Try This: Example 3 Evaluate x + y for the given values. x = –24, y = 17 x + y Substitute for x and y. The signs are different. –24 + 17 Find the difference of the absolute values. Think: 24 – 17 = 7. –7 Use the sign of the integer with the greater absolute value (negative).

  17. 3-3 Adding Integers Course 2 Additional Example 4: Application The jazz band’s income from a bake sale was $286. Expenses were $21. Use integer addition to find the band’s total profit or loss. 286 + (–21) Use negative for the expenses. Find the differences of the absolute values. 286 – 21 265 The answer is positive. The band earned $265.

  18. 3-3 Adding Integers Course 2 Insert Lesson Title Here Try This: Example 4 The French Club was raising money for a trip to Washington D. C. Their carwash raised $730. They had expenses of $52. Use integer addition to find the club’s total profit or loss. 730 + (–52) Use negative for the expenses. Find the differences of the absolute values. 730 – 52 678 The answer is positive. The band earned $678.

  19. 3-3 Adding Integers Course 2 Insert Lesson Title Here Lesson Quiz Add. 1. –7 + (–6) 2. –15 + 24 + (–9) 3. –24 + 7 + (–3) 4. Evaluate x + y for x = –2 and y = –15. –13 0 –20 –17 5. The math club’s income from a bake sale was $217. Advertising expenses were $32. What is the club’s total profit or loss? $185 profit

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