7th Grade Multiplication Worksheets with Answer Key - Free Printable

Problem: Solve the multiplication problems and find the products.

The task involves calculating the products of various pairs of numbers. Below is the step-by-step solution for each problem:

---

#### Problem 1: \( 38 \times 42 \)
- Use the distributive property or direct multiplication:
\[
38 \times 42 = (40 - 2) \times 42 = 40 \times 42 - 2 \times 42
\]
\[
40 \times 42 = 1680, \quad 2 \times 42 = 84
\]
\[
38 \times 42 = 1680 - 84 = 1596
\]

Answer: \( 1596 \)

---

#### Problem 2: \( 63 \times 71 \)
- Use the distributive property:
\[
63 \times 71 = 63 \times (70 + 1) = 63 \times 70 + 63 \times 1
\]
\[
63 \times 70 = 4410, \quad 63 \times 1 = 63
\]
\[
63 \times 71 = 4410 + 63 = 4473
\]

Answer: \( 4473 \)

---

#### Problem 3: \( 59 \times 13 \)
- Use the distributive property:
\[
59 \times 13 = 59 \times (10 + 3) = 59 \times 10 + 59 \times 3
\]
\[
59 \times 10 = 590, \quad 59 \times 3 = 177
\]
\[
59 \times 13 = 590 + 177 = 767
\]

Answer: \( 767 \)

---

#### Problem 4: \( 98 \times 22 \)
- Use the distributive property:
\[
98 \times 22 = 98 \times (20 + 2) = 98 \times 20 + 98 \times 2
\]
\[
98 \times 20 = 1960, \quad 98 \times 2 = 196
\]
\[
98 \times 22 = 1960 + 196 = 2156
\]

Answer: \( 2156 \)

---

#### Problem 5: \( 65 \times 25 \)
- Use the fact that \( 25 = \frac{100}{4} \):
\[
65 \times 25 = 65 \times \frac{100}{4} = \frac{65 \times 100}{4}
\]
\[
65 \times 100 = 6500, \quad \frac{6500}{4} = 1625
\]

Answer: \( 1625 \)

---

#### Problem 6: \( 78 \times 98 \)
- Use the distributive property:
\[
78 \times 98 = 78 \times (100 - 2) = 78 \times 100 - 78 \times 2
\]
\[
78 \times 100 = 7800, \quad 78 \times 2 = 156
\]
\[
78 \times 98 = 7800 - 156 = 7644
\]

Answer: \( 7644 \)

---

#### Problem 7: \( 79 \times 15 \)
- Use the distributive property:
\[
79 \times 15 = 79 \times (10 + 5) = 79 \times 10 + 79 \times 5
\]
\[
79 \times 10 = 790, \quad 79 \times 5 = 395
\]
\[
79 \times 15 = 790 + 395 = 1185
\]

Answer: \( 1185 \)

---

#### Problem 8: \( 87 \times 35 \)
- Use the distributive property:
\[
87 \times 35 = 87 \times (30 + 5) = 87 \times 30 + 87 \times 5
\]
\[
87 \times 30 = 2610, \quad 87 \times 5 = 435
\]
\[
87 \times 35 = 2610 + 435 = 3045
\]

Answer: \( 3045 \)

---

#### Problem 9: \( 41 \times 67 \)
- Use the distributive property:
\[
41 \times 67 = 41 \times (70 - 3) = 41 \times 70 - 41 \times 3
\]
\[
41 \times 70 = 2870, \quad 41 \times 3 = 123
\]
\[
41 \times 67 = 2870 - 123 = 2747
\]

Answer: \( 2747 \)

---

#### Problem 10: \( 28 \times 74 \)
- Use the distributive property:
\[
28 \times 74 = 28 \times (70 + 4) = 28 \times 70 + 28 \times 4
\]
\[
28 \times 70 = 1960, \quad 28 \times 4 = 112
\]
\[
28 \times 74 = 1960 + 112 = 2072
\]

Answer: \( 2072 \)

---

#### Problem 11: \( 34 \times 38 \)
- Use the distributive property:
\[
34 \times 38 = 34 \times (40 - 2) = 34 \times 40 - 34 \times 2
\]
\[
34 \times 40 = 1360, \quad 34 \times 2 = 68
\]
\[
34 \times 38 = 1360 - 68 = 1292
\]

Answer: \( 1292 \)

---

#### Problem 12: \( 54 \times 69 \)
- Use the distributive property:
\[
54 \times 69 = 54 \times (70 - 1) = 54 \times 70 - 54 \times 1
\]
\[
54 \times 70 = 3780, \quad 54 \times 1 = 54
\]
\[
54 \times 69 = 3780 - 54 = 3726
\]

Answer: \( 3726 \)

---

#### Problem 13: \( 72 \times 31 \)
- Use the distributive property:
\[
72 \times 31 = 72 \times (30 + 1) = 72 \times 30 + 72 \times 1
\]
\[
72 \times 30 = 2160, \quad 72 \times 1 = 72
\]
\[
72 \times 31 = 2160 + 72 = 2232
\]

Answer: \( 2232 \)

---

#### Problem 14: \( 90 \times 19 \)
- Use the distributive property:
\[
90 \times 19 = 90 \times (20 - 1) = 90 \times 20 - 90 \times 1
\]
\[
90 \times 20 = 1800, \quad 90 \times 1 = 90
\]
\[
90 \times 19 = 1800 - 90 = 1710
\]

Answer: \( 1710 \)

---

#### Problem 15: \( 42 \times 52 \)
- Use the distributive property:
\[
42 \times 52 = 42 \times (50 + 2) = 42 \times 50 + 42 \times 2
\]
\[
42 \times 50 = 2100, \quad 42 \times 2 = 84
\]
\[
42 \times 52 = 2100 + 84 = 2184
\]

Answer: \( 2184 \)

---

#### Problem 16: \( 46 \times 64 \)
- Use the distributive property:
\[
46 \times 64 = 46 \times (60 + 4) = 46 \times 60 + 46 \times 4
\]
\[
46 \times 60 = 2760, \quad 46 \times 4 = 184
\]
\[
46 \times 64 = 2760 + 184 = 2944
\]

Answer: \( 2944 \)

---

#### Problem 17: \( 50 \times 99 \)
- Use the distributive property:
\[
50 \times 99 = 50 \times (100 - 1) = 50 \times 100 - 50 \times 1
\]
\[
50 \times 100 = 5000, \quad 50 \times 1 = 50
\]
\[
50 \times 99 = 5000 - 50 = 4950
\]

Answer: \( 4950 \)

---

#### Problem 18: \( 63 \times 87 \)
- Use the distributive property:
\[
63 \times 87 = 63 \times (90 - 3) = 63 \times 90 - 63 \times 3
\]
\[
63 \times 90 = 5670, \quad 63 \times 3 = 189
\]
\[
63 \times 87 = 5670 - 189 = 5481
\]

Answer: \( 5481 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 1596 \\
2. & 4473 \\
3. & 767 \\
4. & 2156 \\
5. & 1625 \\
6. & 7644 \\
7. & 1185 \\
8. & 3045 \\
9. & 2747 \\
10. & 2072 \\
11. & 1292 \\
12. & 3726 \\
13. & 2232 \\
14. & 1710 \\
15. & 2184 \\
16. & 2944 \\
17. & 4950 \\
18. & 5481 \\
\end{array}
}
\]