Warm Up Lesson Presentation Problem of the Day Lesson Quizzes
Warm Up Find each quotient. 1.  18 ÷ 2 2.  42 ÷ 7 3.  56 ÷ 8 4.  24 ÷ 6 5.  3,600 ÷ 4 6.  540 ÷ 60  9 6 7 4 900 9
Problem of the Day Hank wanted to record the number of marbles he lost to his friend Marcus each day for 5 days. He forgot...
Preview of MA.7.A.3.1  Use and justify the rules for…dividing…integers.  Preview of MA.7.A.3.2  Divide…integers,…including...
Multiplication and division are inverse operations. To solve a division problem, think of the related multiplication.
Additional Example 1: Dividing Integers Find each quotient. A. –30 ÷ 6   B. –42   ÷   (–7) Think:  What number times 6 equ...
Check It Out: Example 1 Find each quotient. A. –15 ÷ 5   B. –36   ÷   (–6) Think:  What number times 5 equals –15? – 3  • ...
If the signs are the same, the product is positive. 24  ÷  3 = 8   –6  ÷  (–3) = 2 If the signs are different, the quotien...
Additional Example 2A: Evaluating Integer Expressions Evaluate  for each value of  d . d  = 16 Write the expression. = 16 ...
Additional Example 2B: Evaluating Integer Expressions Evaluate  for each value of  d . d  = –24 Write the expression. = –2...
Additional Example 2C: Evaluating Integer Expressions Evaluate  for each value of  d . d  = –12 Write the expression. = –1...
Check It Out: Example 2A Evaluate  for each value of  c . c  = –15 Write the expression. = –15 ÷ 3 Substitute –15 for c. =...
Check It Out: Example 2B Evaluate  for each value of  c . c  = 12 Write the expression. = 12 ÷ 3 Substitute 12 for c. = 4 ...
Check It Out: Example 2C Evaluate  for each value of  c . c  = 27 Write the expression. = 27 ÷ 3 Substitute 27 for c. = 9 ...
Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
Lesson Quiz Find each quotient. 1.  18 ÷ (–3) 2.  –36 ÷ (–6)  3.  –64 ÷ (–8) 4.  –45 ÷ 3  Evaluate  for each value of  x ....
1. Find the quotient. 32  ÷ (–4)  A.  –8   B.  –28 C.  –26 D.  –128  Lesson Quiz for Student Response Systems
2. Find the quotient.  – 55  ÷ (–5)  A.  60   B.  11 C.  –60 D.  –11  Lesson Quiz for Student Response Systems
3. Evaluate  z   ÷ 5  for  z   = –45.  A.  –9   B.  –40 C.  –50 D.  –225  Lesson Quiz for Student Response Systems
4. Stacey has 1,500 grams of flour. She needs 275 grams of flour to bake a cake. How many whole cakes can she bake?  A.  3...
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Msm1 fl ch11_07

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Msm1 fl ch11_07

  1. 1. Warm Up Lesson Presentation Problem of the Day Lesson Quizzes
  2. 2. Warm Up Find each quotient. 1. 18 ÷ 2 2. 42 ÷ 7 3. 56 ÷ 8 4. 24 ÷ 6 5. 3,600 ÷ 4 6. 540 ÷ 60 9 6 7 4 900 9
  3. 3. Problem of the Day Hank wanted to record the number of marbles he lost to his friend Marcus each day for 5 days. He forgot to record one day, but for the other days he wrote 8, 2, 3, and 4. The average number he lost was 4. What number did he forget to write? 3
  4. 4. Preview of MA.7.A.3.1 Use and justify the rules for…dividing…integers. Preview of MA.7.A.3.2 Divide…integers,…including solving problems in everyday contexts. Sunshine State Standards
  5. 5. Multiplication and division are inverse operations. To solve a division problem, think of the related multiplication.
  6. 6. Additional Example 1: Dividing Integers Find each quotient. A. –30 ÷ 6 B. –42 ÷ (–7) Think: What number times 6 equals –30? – 5 • 6 = –30, so –30 ÷ 6 = –5. Think: What number times –7 equals –42? 6 • (–7) = –42, so –42 ÷ (–7) = 6.
  7. 7. Check It Out: Example 1 Find each quotient. A. –15 ÷ 5 B. –36 ÷ (–6) Think: What number times 5 equals –15? – 3 • 5 = –15, so –15 ÷ 5 = –3. Think: What number times –6 equals –36? 6 • (–6) = –36, so –36 ÷ (–6) = 6.
  8. 8. If the signs are the same, the product is positive. 24 ÷ 3 = 8 –6 ÷ (–3) = 2 If the signs are different, the quotient is negative. – 20 ÷ 5 = –4 72 ÷ (–8) = –9 Zero divided by any integer equals 0. = 0 = 0 You cannot divide any integer by 0. Because division is the inverse of multiplication, the rules for dividing integers are the same as the rules for multiplying integers. Dividing Integers 0 14 __ 0 – 11 __
  9. 9. Additional Example 2A: Evaluating Integer Expressions Evaluate for each value of d . d = 16 Write the expression. = 16 ÷ 4 Substitute 16 for d. = 4 The signs are the same, so the answer is positive. d 4 __ d 4 __ 16 4 __
  10. 10. Additional Example 2B: Evaluating Integer Expressions Evaluate for each value of d . d = –24 Write the expression. = –24 ÷ 4 Substitute –24 for d. = –6 The signs are different, so the answer is negative. d 4 __ d 4 __ -24 4 ___
  11. 11. Additional Example 2C: Evaluating Integer Expressions Evaluate for each value of d . d = –12 Write the expression. = –12 ÷ 4 Substitute –12 for d. = –3 The signs are different, so the answer is negative. d 4 __ d 4 __ -12 4 ___
  12. 12. Check It Out: Example 2A Evaluate for each value of c . c = –15 Write the expression. = –15 ÷ 3 Substitute –15 for c. = –5 The signs are different, so the answer is negative. c 3 __ c 3 __ -15 3 ___
  13. 13. Check It Out: Example 2B Evaluate for each value of c . c = 12 Write the expression. = 12 ÷ 3 Substitute 12 for c. = 4 The signs are the same, so the answer is positive. c 3 __ c 3 __ 12 3 ___
  14. 14. Check It Out: Example 2C Evaluate for each value of c . c = 27 Write the expression. = 27 ÷ 3 Substitute 27 for c. = 9 The signs are the same, so the answer is positive. c 3 __ c 3 __ 27 3 __
  15. 15. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
  16. 16. Lesson Quiz Find each quotient. 1. 18 ÷ (–3) 2. –36 ÷ (–6) 3. –64 ÷ (–8) 4. –45 ÷ 3 Evaluate for each value of x . 5. x = –12 6. x = 20 7. Carmen’s mom has $3,200 in her bank account. If she uses the money to make monthly rent payments of $375, how many whole payments can she make? 6 – 6 8 – 15 – 3 5 8 x 4 __
  17. 17. 1. Find the quotient. 32 ÷ (–4) A. –8 B. –28 C. –26 D. –128 Lesson Quiz for Student Response Systems
  18. 18. 2. Find the quotient. – 55 ÷ (–5) A. 60 B. 11 C. –60 D. –11 Lesson Quiz for Student Response Systems
  19. 19. 3. Evaluate z ÷ 5 for z = –45. A. –9 B. –40 C. –50 D. –225 Lesson Quiz for Student Response Systems
  20. 20. 4. Stacey has 1,500 grams of flour. She needs 275 grams of flour to bake a cake. How many whole cakes can she bake? A. 3 B. 4 C. 5 D. 6 Lesson Quiz for Student Response Systems

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