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Warm Up Multiply or divide.

Learn to multiply and divide integers with clear examples and explanations. Understand the rules for multiplying positive and negative integers. Practice problems included.

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Warm Up Multiply or divide.

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  1. 36 49 9 7 192 16 Warm Up Multiply or divide. 1. 5(8)‏ 40 2. 6(12)‏ 72 3. 4 4. 7 12 5. 18(7)‏ 126 6.

  2. 4 –7 –9 8 Problem of the Day Complete the pyramid by filling in the missing numbers. Each number is the sum of the numbers in the two boxes below it. –4 –8 –1 5 2 –3

  3. Learn to multiply and divide integers.

  4. A positive number multiplied by an integer can be written as repeated addition. 3(–200) = –200 + (–200) + (–200) = –600 From what you know about adding and subtracting integers, you can see that a positive integer times a negative integer is negative.

  5. 3(–200) = 2(–200) = 1(–200) = 0(–200) = –1(–200) = –2(–200) = –3(–200) = You know that multiplying two positive integers together gives you a positive answer. Look for a pattern in the integer multiplication at right to understand the rules for multiplying two negative integers. –600 + 200 –400 + 200 –200 + 200 0 The product of two negative integers is a positive integer. 200 400 600

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

  7. –18 2 –25 –5 Additional Example 1: Multiplying and Dividing Integers Multiply or divide. C. Signs are different. Answer is negative. –9 D. Signs are the same. Answer is positive. 5

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

  9. –24 3 –12 –2 Check It Out: Example 1 Multiply or divide. C. Signs are different. Answer is negative. –8 D. Signs are the same. Answer is positive. 6

  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. Additional Example 3: Sports Application A golfer plays 5 holes. On 3 holes, he is 4 strokes over par. On 2 holes, he is 1 stroke under par. Each score over par can be represented by a positive integer, and each score under par can be represented by a negative integer. Find the total score relative to par. 3(4) + 2(–1)‏ Add the losses to the gains. 12 + (–2)‏ Multiply. 10 Add. The total score is 10 strokes over par.

  15. Check It Out: Example 3 A golfer plays 9 holes. On 3 holes, he is 3 strokes over par. On 4 holes, he is 3 stroke under par. Each score over par can be represented by a positive integer, and each score under par can be represented by a negative integer. Find the total score relative to par. 3(3) + 4(–3)‏ Add the losses to the gains. 9 + (–12)‏ Multiply. –3 Add. The total score is 3 strokes under par.

  16. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  17. –12(5)‏ –10 Lesson Quiz Multiply or divide. 1. –8(4)‏ –32 2. 6 Simplify. 3. –2(13 – 4)‏ 4. 6(–5 – 3)‏ –48 –18 5. Evin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10. In 5 transactions, he deposits $20. Find the total net change in dollars. $40

  18. Lesson Quiz for Student Response Systems 1. Multiply –9(6). A. 54 B. 45 C. –45 D. –54

  19. Lesson Quiz for Student Response Systems –19(4) –4 2. Multiply or divide . A. –19 B. 19 C. 30 D. 36

  20. Lesson Quiz for Student Response Systems 3. Simplify –7(17 – 6). A. –77 B. –66 C. 66 D. 77

  21. Lesson Quiz for Student Response Systems 4. Simplify 9(–6 – 1). A. 63 B. 54 C. –63 D. –64

  22. Lesson Quiz for Student Response Systems 5. Hannah makes 14 trips to her mom’s home. On 8 of her trips, she gives her mom $25 for safekeeping. On her other 6 trips, she takes $30 from her mom. How much of Hannah’s money is left with her mom? A. $10 B. $20 C. $30 D. $40

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