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1-5 Adding Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes
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1-5 Adding Integers Warm Up Graph each number on a number line. 1. –52. 7 3. –44. 0 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
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1-5 Adding Integers 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
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1-5 Adding Integers Learn to add integers.
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1-5 Adding Integers To add a positive number move to the right. To add a negative number move to the left. Helpful Hint Additional Example 1A: Using a Number Line to Add Integers Use a number line to find the sum. (–6) + 2 2 –6 You finish at –4, so (–6) + 2 = –4. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5
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1-5 Adding Integers Additional Example 1B: Using a Number Line to Add Integers Use a number line to find the sum. –3 + (–6) –3–3 –6 You finish at –9, so –3 + (–6) = –9. –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2
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1-5 Adding Integers Check It Out: Example 1A Use a number line to find the sum. (–3) + 7 7 –3 You finish at 4, so (–3) + 7 = 4. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5
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1-5 Adding Integers Check It Out: Example 1B Use a number line to find the sum. (–2) + 4 4 –2 You finish at 2, so (–2) + 4 = 2. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5
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1-5 Adding Integers
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1-5 Adding Integers Additional Example 2: Using Absolute Value to Add Integers A. 1 + (–2) Add. 1 + (–2) 2 > 1; use the sign of 2. –1 B. (–8) + 5 (–8) + 5 8 > 5; use the sign of 8. –3 Think: Find the difference of 1 and –2. Think: Find the difference of –8 and 5.
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1-5 Adding Integers Additional Example 2: Using Absolute Value to Add Integers C. (–2) + (–4) Add. (–2) + (–4) Same sign; use the sign of the integers. –6 Think: Find the sum of –2 and –4.
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1-5 Adding Integers Check It Out: Example 2 A. 3 + (–6) Add. 3 + (–6) 6 > 3; use the sign of 6. –3 B. (–4) + 1 (–4) + 1 4 > 1; use the sign of 4. –3 Think: Find the difference of 3 and –6. Think: Find the difference of –4 and 1.
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1-5 Adding Integers Check It Out: Example 2C C. (–6) + (–7) Add. (–6) + (–7) Same sign; use the sign of the integers. –13 Think: Find the sum of –6 and –7.
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1-5 Adding Integers Additional Example 3: Evaluating Expressions with Integers Evaluate c + 4 for c = –8. c + 4 Replace c with –8. 8 > 4; use the sign of 8. (–8) + 4 –8 + 4 = –4 Think: Find the difference of –8 and 4.
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1-5 Adding Integers Check It Out: Example 3 Evaluate d + 7 for d = –3. d + 7 Replace d with –3. 7 > 3; use the sign of 7. (–3) + 7 –3 + 7 = 4 Think: Find the difference of –3 and 7.
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1-5 Adding Integers 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) Use the Associative Property to group integers with 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.
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1-5 Adding Integers 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) Use the Associative Property to group integers with 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.
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1-5 Adding Integers Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
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1-5 Adding Integers Lesson Quiz Add. 1. –7 + (– 7) 2. 15 + (–9) + (–2) 4 –14 Evaluate each expression for the given value of the variable. 3. 13 + r for r = –154. 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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1-5 Adding Integers 1. Add –19 + (–29). A. 48 B. 10 C. –10 D. –48 Lesson Quiz for Student Response Systems
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1-5 Adding Integers 2. Add 27 + (–16) + (–9). A. 2 B. 20 C. 34 D. 52 Lesson Quiz for Student Response Systems
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1-5 Adding Integers 3. Evaluate the expression for the given value of the variable. 74 + r for r = –46 A. –74 B. –46 C. 28 D. 120 Lesson Quiz for Student Response Systems
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1-5 Adding Integers 4. Evaluate the expression for the given value of the variable. 8 + z + (–8) for z = –8 A. 8 B. –8 C. –16 D. –24 Lesson Quiz for Student Response Systems
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1-5 Adding Integers 5. In January, Tina had 9 pens. By March, she had given 3 pens to her friends. In the meanwhile, her dad bought her 4 pens. Then how many pens did Tina have? A. 8 pens B. 9 pens C. 10 pens D. 16 pens Lesson Quiz for Student Response Systems
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