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) = −𝟏𝟐 The expression 2 x (-6) means 2 groups of (-6)
2.
=
3.
3 × 7 = 𝟐𝟏 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) = 𝟖 The expression -4 x (-2) means the opposite
of 4 groups of (-2)
6.
−7 × (−5) = 𝟑𝟓 The expression -7 x (-5) means the
opposite of 7 groups of (-5)
=
Chapter 5
Skills Practice
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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
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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
_______ × _______ = _______
𝐼𝑛𝑐𝑟𝑒𝑎𝑠𝑖𝑛𝑔
22. 7 × (−1) = _______
24. −9 × 3 = _______
7 × (−2) = _______
−9 × 4 = _______
7 × (−3) = _______
−9 × 5 = _______
7 × (−4) = _______
−9 × 6 = _______
_______ × _______ = _______
_______ × _______ = _______
_______ × _______ = _______
_______ × _______ = _______
_______ × _______ = _______
_______ × _______ = _______
Chapter 5
Skills Practice
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3
Lesson 5.1
Skills Practice
𝐼𝑛𝑐𝑟𝑒𝑎𝑠𝑖𝑛𝑔
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, 𝑜𝑟 − 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
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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
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