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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. –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. California Standards.

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Warm Up

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  1. Preview Warm Up California Standards Lesson Presentation

  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. California Standards NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. AF1.3 Simplify numerical expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative) and justify the process used.

  4. Vocabulary additive inverse

  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 Start at 0. Move left 6 units. From –6, move right 2 units. –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) Start at 0. Move left 3 units. From –3, move left 6 units. –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 Start at 0. Move left 3 units. From –3, move right 7 units. –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 Start at 0. Move left 2 units. From –2, move right 4 units. –2 You finish at 2, so (–2) + 4 = 2.

  9. Another way to add integers is to use absolute value.

  10. Think: Find the difference of 1 and –2 . Think: Find the difference of –8 and 5 . Additional Example 2: Using Absolute Value to Add Integers Add. A. 1 + (–2) 1 + (–2) –1 2 > 1; use the sign of 2. B. (–8) + 5 (–8) + 5 –3 8 > 5; use the sign of 8.

  11. Think: Find the sum of –2 and –4 . Additional Example 2: Using Absolute Value to Add Integers Add. C. (–2) + (–4) (–2) + (–4) Same sign; use the sign of the integers. –6

  12. Think: Find the difference of 3 and –6 . Think: Find the difference of –4 and 1 . Check It Out! Example 2 Add. A. 3 + (–6) 3 + (–6) –3 6 > 3; use the sign of 6. B. (–4) + 1 (–4) + 1 –3 4 > 1; use the sign of 4.

  13. Think: Find the sum of –6 and –7 . Check It Out! Example 2 Add. C. (–6) + (–7) (–6) + (–7) Same sign; use the sign of the integers. –13

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

  15. Think: Find the difference of –3 and 7 . Check It Out! Example 3 Evaluate d + 7 for d = –3. d + 7 (–3) + 7 Replace d with –3. –3 + 7 = 4 7 > 3; use the sign of 7.

  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) Group integers with the same signs. (200 + 20) + (–166 + –38) Add integers within each group. 220 + (–204) 220 > 204; use the sign of 220. 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) Group integers with the same signs. (175 + 95) + (–133 + –65) Add integers within each group. 270 + (–198) 270 > 198; use the sign of 270. 72 Michael’s account balance after the first four transactions is $72.

  18. Lesson Quiz Add. 1. –7 + (–7) 2. 15 + (–9) + (–2) –14 4 Evaluate each expression for the given value of the variable. 3. 13 + r for r = –15 4. 2 + b + (–9) for b = –6 –2 –13 5. On Monday, a local dog shelter had six dogs. By Friday, they had found homes for three, but took in two more. Then how many dogs were in the shelter? 5 dogs

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