Integers Packet (Thanks Laura Benns!).pdf

What if you lose three green chips you just lost 15 3

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What if you lose three green chips? You just lost $15. -3 times $5 equals a $15 loss. What is you lose three red chips? You just gained $15. -3 times -$5 equals a $15 gain. The Third Answer How about proving it with a pattern? 3 5 +15 2 5 +10 1 5 +5 0 5 0 1 5 - • -5 2 5 - • -10 So…. 3 5 •- -15 2 5 •- -10 1 5 • - -5 0 5 •- 0 1 5 - •- +5 2 5 - •- +10
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-20: Multiplying Integers Name: Complete the table below using your knowledge of integers as well as noticing the pattern that the table creates. 5 15 4 12 3 0 3 6 9 12 15 2 6 1 3 0 0 -5 -4 -3 -2 -1 x 0 1 2 3 4 5 -1 -2 -3 -4 -5
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-21: Multiplying and Dividing Integers Name: Solve each equation. 1. 6 8 x = - • 2. 12 4 y = - 3. 9 ( 11) x = - • - 4. ( 7)(17) y = - 5. 14( 4) h - = 6. 15(10) k - = 7. (10)( 8)( 2) r - - = 8. ( 3)(3)( 10) t - - = 9. ( 12)( 1)( 6) w = - - - 10. (20)( 5)( 5) y = - - 11. (4)( 16)( 6) x = - - 12. (16)(9)( 2) n = - Evaluate each expression if 5 x = - and 6 y = - . 13. 3 y 14. 8 x - 15. 4 y - 16. 12 x 17. 15 x - 18. 19 y - 19. 6 xy - 20. 4 xy Solve each equation. 21. 150 25 x - = - 22. 98 14 k - = 23. 312 24 x - = 24. 208 26 t - = - 25. 180 15 n - = 26. 930 30 z = - 27. 189 21 p - = - 28. 288 18 d = - 29. 396 36 b - = - Evaluate each expression if 8 x = and 12 y = - . 30. 2 x ÷ 31. ( 4) x ÷ - 32. 36 y ÷ 33. 0 y ÷ 34. 6 y - 35. 4 x 36. 144 y - 37. 136 x - 38. At noon on Friday, the temperature was 0 degrees. Six hours later the temperature was -18 degrees. On average, what was the temperature change per hour? 39. Mangham Architecture has monthly profits of $1200, $755, -$450, $210, and -$640 over 5 months. What was the average profit for those months? 40. On a separate sheet of paper, model the following expressions by drawing number lines. A. 4 ( 2) • - B. 5 ( 1) • - C. 3 3 •- 41. On a separate sheet of paper, model the following expressions by drawing two-color counters. A. 4 ( 2) • - B. 5 ( 1) • - C. 3 3 •-
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-22: Multiplying Integers Name: The multiplication table below contains 42 mistakes. Shade in each box that contains a mistake. You will end up with a famous farming expression. X 2 -4 -9 6 3 8 -1 4 -8 -2 -6 7 -5 9 -7 -3 6 -12 -27 -18 9 -24 -3 12 -24 6 -18 -21 -15 27 -21 9 -18 -36 -81 54 -27 72 9 36 -72 -18 54 63 45 81 63 -6 12 -24 54 -36 18 -48 -6 24 48 12 -36 -42 -30 -54 -42 5 -10 -20 -45 30 -15 40 5 20 -40 -10 30 35 25 45 35 -7 14 -28 -63 -42 21 -56 -7 28 -56 14 -42 -49 -35 63 -49
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-23: All Integer Operations Name: 2 ( 9) - means the number 9 - squared. This is equal to 81 + . 2 9 - means to solve for 9 squared and then find the opposite. This is equal to 81 - . Solve. 1. 2 9 ( 13) - + - 2. 2( 25) - - 3. ( 6 17) 20 - + - 4. 50 30 - - 5. 56 ( 8) - ÷ - 6. 2 ( 5 6) 87 - - - • - 7. 32 37 + - 8. ( 15 3) 14 - ÷ + 9. 2 ( 13 2) ( 12) - + - 10. 2 ( 10 5)( 2) - + - - 11. 2 ( 3 4) 7 - - ÷ 12. ( 5 30)(3) - - - 13. ( 9 6) 4 - • + - 14. ( 30 22) 6 - - - 15. 2 ( 8 8) 8 - • - - - 16. (20 4) 11 ÷ • - 17. (28 10) 7 - - - 18. 12 36 - 19. ( 13 12)( 4) - + - - 20. 2 (4 6) 8 • - ÷ - 21. ( 64 2) 2 - ÷ ÷ - 22. 5 20 - • 23. 30 2 ÷- 24. ( 40 50) 9 - + - ÷ 25. 2 9 ( 19) - - - 26. 2 7 ( 11) - • - 27. (42 7) 6 ÷ - - 28. 2 ( 7) 11 - + - 29. 2 60 5 - ÷- 30. ( 12 18) 15 - + - ÷ - The symbols , ,x, and + - ÷ can be used only once in each number sentence below. Remember the correct order of operations!
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