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Lesson 5.1 Skills Practice Equal Groups – Multiplying and Dividing Integers Problem Set Solve each problem using counters. Then, provide the answer. Last, describe the expression in words. 1. 2 × (−6) = −ππ The expression 2 x (-6) means 2 groups of (-6) 2. = 3. 3 × 7 = ππ The expression 3 x 7 means 3 groups of 7 = 4. −2 × 5 = The expression -2 x 5 means the opposite of 2 groups of 5 −3 × 6 = The expression -3 x 6 means the opposite of 3 groups of 6 = = 5. −4 × (−2) = π The expression -4 x (-2) means the opposite of 4 groups of (-2) 6. −7 × (−5) = ππ The expression -7 x (-5) means the opposite of 7 groups of (-5) = Chapter 5 Skills Practice • 1 Lesson 5.1 Skills Practice Complete a number line representation to determine each product. (−7) (−7) 7. 2 × (−7) = −14 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 −15 −10 −5 0 5 10 15 8. −2 × 7 = 9. −5 × (−3) = 10. 5 × (−3) = 11. 5 × 3 = 12. −3 × 3 = 13. −3 × (−3) = 14. 3 × (−3) = Chapter 5 Skills Practice • 2 Lesson 5.1 Skills Practice Write each expression as a repeated addition sentence. 15. 6 × (−7) = (−7) + (−7) + (−7) + (−7) + (−7) + (−7) = −42 16. −4 × 8 = 17. −3 × 9 = 18. −5 × (−4) = 19. 10 × (−2) = 20. 11 × 6 = Determine each product and write the next three number sentences that extend the pattern. Then tell whether the pattern is increasing or decreasing. 21. −4 × 4 = −16 23. −6 × (−3) = _______ −4 × 3 = −12 −6 × (−2) = _______ −4 × 2 = −8 −6 × (−1) = _______ −4 × 1 = −4 −6 × 0 = _______ −4 × 0 = 0 _______ × _______ = _______ −4 × (−1) = 4 _______ × _______ = _______ −4 × (−2) = 8 _______ × _______ = _______ πΌππππππ πππ 22. 7 × (−1) = _______ 24. −9 × 3 = _______ 7 × (−2) = _______ −9 × 4 = _______ 7 × (−3) = _______ −9 × 5 = _______ 7 × (−4) = _______ −9 × 6 = _______ _______ × _______ = _______ _______ × _______ = _______ _______ × _______ = _______ _______ × _______ = _______ _______ × _______ = _______ _______ × _______ = _______ Chapter 5 Skills Practice • 3 Lesson 5.1 Skills Practice πΌππππππ πππ Determine each product. 25. 12 × 8 = _______ 27. 6 × 9 = _______ 12 × (−8) = _______ 6 × (−9) = _______ −12 × 8 = _______ −6 × 9 = _______ −12 × (−8) = _______ −6 × (−9) = _______ 26. 5 × 11 = _______ 28. 3 × 4 × 5 = _______ 5 × (−11) = _______ −3 × (−4) × 5 = _______ −5 × 11 = _______ −3 × 4 × 5 = _______ −5 × (−11) = _______ −3 × (−4) × (−5) = _______ 3 × 4 × (−5) = _______ 3 × (−4) × (−5) = _______ Determine the integers that make each number sentence true. 29. _______ × _______ = −49 7, −7, ππ − 7, 7 32. 3 × _______ = −24 _______ 30. _______ × _______ = 27 ____________________ 33. 14 × _______ = 56 _______ 31. _______ × (−9) = −36 _______ 34. _______ × (−6) = 30 _______ Write a fact family for each set of integers. 35. 3, −4, −12 37. −2, 9, −18 39. 7, −3, −21 3 × (−4) = −12 ____________________ ____________________ (−4) × 3 = −12 ____________________ ____________________ −12 ÷ 3 = (−4) ____________________ ____________________ −12 ÷ (−4) = 3 ____________________ ____________________ 36. −6, −8, 48 38. 4, 5, 20 40. −9, −8, 72 ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ Chapter 5 Skills Practice • 4 Lesson 5.1 Skills Practice Determine the unknown integer that will make each number sentence true. 41. 81 ÷ (−9) = −9 45. _______ ÷ (−6) = −4 42. −63 ÷ _______ = 9 46. 0 ÷ (−12) = _______ 43. −40 ÷ _______ = −8 47. _______ ÷ 4 = −7 44. 16 ÷ _______ = −8 48. −13 ÷ _______ = −1 Chapter 5 Skills Practice • 5