# 5.1 Equal Groups - Mult and Div Integers ```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 &times; (−6) = −𝟏𝟐 The expression 2 x (-6) means 2 groups of (-6)
2.
=
3.
3 &times; 7 = 𝟐𝟏 The expression 3 x 7 means 3 groups of 7
=
4.
−2 &times; 5 = The expression -2 x 5 means the opposite of 2 groups
of 5
−3 &times; 6 = The expression -3 x 6 means the opposite of 3 groups of 6
=
=
5.
−4 &times; (−2) = 𝟖 The expression -4 x (-2) means the opposite
of 4 groups of (-2)
6.
−7 &times; (−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 &times; (−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 &times; 7 =
9. −5 &times; (−3) =
10. 5 &times; (−3) =
11. 5 &times; 3 =
12. −3 &times; 3 =
13. −3 &times; (−3) =
14. 3 &times; (−3) =
Chapter 5
Skills Practice
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2
Lesson 5.1
Skills Practice
Write each expression as a repeated addition sentence.
15. 6 &times; (−7) = (−7) + (−7) + (−7) + (−7) + (−7) + (−7) = −42
16. −4 &times; 8 =
17. −3 &times; 9 =
18. −5 &times; (−4) =
19. 10 &times; (−2) =
20. 11 &times; 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 &times; 4 = −16
23. −6 &times; (−3) = _______
−4 &times; 3 = −12
−6 &times; (−2) = _______
−4 &times; 2 = −8
−6 &times; (−1) = _______
−4 &times; 1 = −4
−6 &times; 0 = _______
−4 &times; 0 = 0
_______ &times; _______ = _______
−4 &times; (−1) = 4
_______ &times; _______ = _______
−4 &times; (−2) = 8
_______ &times; _______ = _______
𝐼𝑛𝑐𝑟𝑒𝑎𝑠𝑖𝑛𝑔
22. 7 &times; (−1) = _______
24. −9 &times; 3 = _______
7 &times; (−2) = _______
−9 &times; 4 = _______
7 &times; (−3) = _______
−9 &times; 5 = _______
7 &times; (−4) = _______
−9 &times; 6 = _______
_______ &times; _______ = _______
_______ &times; _______ = _______
_______ &times; _______ = _______
_______ &times; _______ = _______
_______ &times; _______ = _______
_______ &times; _______ = _______
Chapter 5
Skills Practice
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Lesson 5.1
Skills Practice
𝐼𝑛𝑐𝑟𝑒𝑎𝑠𝑖𝑛𝑔
Determine each product.
25. 12 &times; 8 = _______
27. 6 &times; 9 = _______
12 &times; (−8) = _______
6 &times; (−9) = _______
−12 &times; 8 = _______
−6 &times; 9 = _______
−12 &times; (−8) = _______
−6 &times; (−9) = _______
26. 5 &times; 11 = _______
28. 3 &times; 4 &times; 5 = _______
5 &times; (−11) = _______
−3 &times; (−4) &times; 5 = _______
−5 &times; 11 = _______
−3 &times; 4 &times; 5 = _______
−5 &times; (−11) = _______
−3 &times; (−4) &times; (−5) = _______
3 &times; 4 &times; (−5) = _______
3 &times; (−4) &times; (−5) = _______
Determine the integers that make each number sentence true.
29. _______ &times; _______ = −49 7, −7, 𝑜𝑟 − 7, 7
32. 3 &times; _______ = −24 _______
30. _______ &times; _______ = 27 ____________________
33. 14 &times; _______ = 56 _______
31. _______ &times; (−9) = −36 _______
34. _______ &times; (−6) = 30 _______
Write a fact family for each set of integers.
35. 3, −4, −12
37. −2, 9, −18
39. 7, −3, −21
3 &times; (−4) = −12
____________________
____________________
(−4) &times; 3 = −12
____________________
____________________
−12 &divide; 3 = (−4)
____________________
____________________
−12 &divide; (−4) = 3
____________________
____________________
36. −6, −8, 48
38. 4, 5, 20
40. −9, −8, 72
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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 &divide; (−9) = −9
45. _______ &divide; (−6) = −4
42. −63 &divide; _______ = 9
46. 0 &divide; (−12) = _______
43. −40 &divide; _______ = −8
47. _______ &divide; 4 = −7
44. 16 &divide; _______ = −8
48. −13 &divide; _______ = −1
Chapter 5
Skills Practice
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