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Lesson 1.4/1.5 Multiplying and Dividing Integers Students will be able to multiply and divide integers

Warm-Up #22 (10/11/16) -30 –(-13) + 34 45 – (-9) + |13| Use Order of Operations -30 –(-13) + 34 45 – (-9) + |13| 12 – |3-1| + 3 – (-4)

Textbook Big Ideas Page 26 #8-17 ALL Homework (10/11/16) Textbook Big Ideas Page 26 #8-17 ALL

Homework Solutions 1. -5 2. 13 3. -19 4. -1 5. 27 6. -24 7. -15 8. -4 7. -15 8. -4 9. -8 10. 3 11. 131 meters 12. -$14 (lost profit)

Warm-Up #23 (10/12/16) 4 −6÷2 −4∙2 + −12 −2 −7−−8 −|3+4| Use Order of Operations 4 −6÷2 −4∙2 + −12 −2 −7−−8 −|3+4|

Homework (10/12/2016) Chapter 1 Study Guide packet Page 3

Homework Solutions 8. 24 9. -21 10. -16 11. 12 12. -42 13. 27 14. -40 15. 12 16. -50 17. 0

Multiplying and Dividing Integers https://www.youtube.com/watch?v=U2zLoTG6VFY https://www.youtube.com/watch?v=WgWv9ftYO9c https://www.youtube.com/watch?v=tNJhbgKq_Jg

MULTIPLYING AND DIVIDING TWO INTEGERS Course 3 Multiplying and Dividing Integers Insert Lesson Title Here MULTIPLYING AND DIVIDING TWO INTEGERS If the signs are the same, the sign of the answer is positive. If the signs are different, the sign of the answer is negative.

Additional Example 1: Multiplying and Dividing Integers Multiply or divide. A. –6(4) Signs are different. Answer is negative. = –24 B. –8(–5) Signs are the same. Answer is positive. = 40

Additional Example 1: Multiplying and Dividing Integers Multiply or divide. –18 2 C. Signs are different. = –9 Answer is negative. –25 –5 D. Signs are the same. = 5 Answer is positive.

Check It Out: Example 1 Multiply or divide. A. 5(–2) Signs are different. = –10 Answer is negative. B. –3(–2) Signs are the same. Answer is positive. = 6

Check It Out: Example 1 Multiply or divide. –24 3 C. Signs are different. = –8 Answer is negative. –12 –2 D. Signs are the same. = 6 Answer is positive.

Order of Operations 1. Parentheses 2. Exponents 3. Multiply and divide from left to right. 4. Add and subtract from left to right. Remember!

Additional Example 2: Using the Order of Operations with Integers Simplify. A. 3(–6 – 12) Subtract inside the parentheses. = 3(–18) Think: The signs are different. = –54 The answer is negative. B. –5(–5 + 2) Subtract inside the parentheses. = –5(–3) Think: The signs are the same. = 15 The answer is positive.

Additional Example 2: Using the Order of Operations with Integers Simplify. C. –2(14 – 5) Subtract inside the parentheses. = –2(9) Think: The signs are different. = –18 The answer is negative.

Check It Out: Example 2 Simplify. A. 2(1 – 8) Subtract inside the parentheses. = 2(–7) Think: The signs are different. = –14 The answer is negative. B. 4(–3 – 8) Subtract inside the parentheses. = 4(–11) Think: The signs are different. = –44 The answer is negative.

Check It Out: Example 2 Simplify. C. –3(6 – 9) Subtract inside the parentheses. = –3(–3) Think: The signs are the same. = 9 The answer is positive.

Additional Example 3: Sports Application A golfer plays 5 holes. On 3 holes, he has a gain of 4 strokes each. On 2 holes, he has a loss of 4 strokes each. Each gain in strokes can be represented by a positive integer, and each loss can be represented by a negative integer. Find the total net change in strokes. 3(4) + 2(–4) Add the losses to the gains. = 12 + (–8) Multiply. = 4 Add. The golfer changed by a total gain of 4 strokes.

Check It Out: Example 3 A golfer plays 9 holes. On 3 holes, he has a gain of 3 strokes each. On 4 holes, he has a loss of 3 strokes each. Each gain in strokes can be represented by a positive integer, and each loss can be represented by a negative integer. Find the total net change in strokes. 3(3) + 4(–3) Add the losses to the gains. = 9 + (–12) Multiply. = -3 Add. The golfer changed by a total loss of 3 strokes.

Insert Lesson Title Here Lesson Quiz: Part I Multiply or Divide. 1. –8(4) –32 2. –12(5) –10 6 Simplify. 3. –2(13 – 4) – 18 4. 6(-5 – 3) – 48

Insert Lesson Title Here Lesson Quiz: Part II 5. Evin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10. in 5 transaction, he deposits $20. Find the total net change in dollars. $40