Multiplying with 2 Digit Numbers | Printable Multiplication Worksheets - Free Printable

The image shows a worksheet titled "2 Digit Numbers - Free Printable Multiplication Worksheets" with several multiplication problems involving two-digit numbers. Below, I will solve each problem step by step and provide the solutions.

---

Row 1:

1. 29 × 11
- Use the distributive property: \( 29 \times 11 = 29 \times (10 + 1) = (29 \times 10) + (29 \times 1) \)
- \( 29 \times 10 = 290 \)
- \( 29 \times 1 = 29 \)
- \( 290 + 29 = 319 \)
- Answer: 319

2. 35 × 59
- Use long multiplication:
```
35
× 59
----
315 (35 × 9)
175 (35 × 5, shifted one place to the left)
----
2065
```
- Answer: 2065

3. 71 × 43
- Use long multiplication:
```
71
× 43
----
213 (71 × 3)
284 (71 × 4, shifted one place to the left)
----
3053
```
- Answer: 3053

4. 17 × 43
- Use long multiplication:
```
17
× 43
----
51 (17 × 3)
68 (17 × 4, shifted one place to the left)
----
731
```
- Answer: 731

5. 18 × 27
- Use long multiplication:
```
18
× 27
----
126 (18 × 7)
36 (18 × 2, shifted one place to the left)
----
486
```
- Answer: 486

---

Row 2:

1. 56 × 88
- Use long multiplication:
```
56
× 88
----
448 (56 × 8)
448 (56 × 8, shifted one place to the left)
----
4928
```
- Answer: 4928

2. 33 × 22
- Use long multiplication:
```
33
× 22
----
66 (33 × 2)
66 (33 × 2, shifted one place to the left)
----
726
```
- Answer: 726

3. 65 × 35
- Use long multiplication:
```
65
× 35
----
325 (65 × 5)
195 (65 × 3, shifted one place to the left)
----
2275
```
- Answer: 2275

4. 69 × 98
- Use long multiplication:
```
69
× 98
----
552 (69 × 8)
621 (69 × 9, shifted one place to the left)
----
6762
```
- Answer: 6762

5. 31 × 62
- Use long multiplication:
```
31
× 62
----
62 (31 × 2)
186 (31 × 6, shifted one place to the left)
----
1922
```
- Answer: 1922

---

Row 3:

1. 46 × 84
- Use long multiplication:
```
46
× 84
----
184 (46 × 4)
368 (46 × 8, shifted one place to the left)
----
3864
```
- Answer: 3864

2. 50 × 67
- Use the distributive property: \( 50 \times 67 = 50 \times (60 + 7) = (50 \times 60) + (50 \times 7) \)
- \( 50 \times 60 = 3000 \)
- \( 50 \times 7 = 350 \)
- \( 3000 + 350 = 3350 \)
- Answer: 3350

3. 65 × 25
- Use long multiplication:
```
65
× 25
----
325 (65 × 5)
130 (65 × 2, shifted one place to the left)
----
1625
```
- Answer: 1625

4. 68 × 85
- Use long multiplication:
```
68
× 85
----
340 (68 × 5)
544 (68 × 8, shifted one place to the left)
----
5780
```
- Answer: 5780

5. 37 × 26
- Use long multiplication:
```
37
× 26
----
222 (37 × 6)
74 (37 × 2, shifted one place to the left)
----
962
```
- Answer: 962

---

Row 4:

1. 64 × 32
- Use long multiplication:
```
64
× 32
----
128 (64 × 2)
192 (64 × 3, shifted one place to the left)
----
2048
```
- Answer: 2048

2. 77 × 20
- Use the distributive property: \( 77 \times 20 = 77 \times (2 \times 10) = (77 \times 2) \times 10 \)
- \( 77 \times 2 = 154 \)
- \( 154 \times 10 = 1540 \)
- Answer: 1540

3. 78 × 58
- Use long multiplication:
```
78
× 58
----
624 (78 × 8)
390 (78 × 5, shifted one place to the left)
----
4524
```
- Answer: 4524

4. 47 × 55
- Use long multiplication:
```
47
× 55
----
235 (47 × 5)
235 (47 × 5, shifted one place to the left)
----
2585
```
- Answer: 2585

5. 15 × 28
- Use long multiplication:
```
15
× 28
----
120 (15 × 8)
30 (15 × 2, shifted one place to the left)
----
420
```
- Answer: 420

---

Row 5:

1. 68 × 91
- Use long multiplication:
```
68
× 91
----
68 (68 × 1)
612 (68 × 9, shifted one place to the left)
----
6188
```
- Answer: 6188

2. 74 × 69
- Use long multiplication:
```
74
× 69
----
666 (74 × 9)
444 (74 × 6, shifted one place to the left)
----
5106
```
- Answer: 5106

3. 11 × 37
- Use long multiplication:
```
11
× 37
----
77 (11 × 7)
33 (11 × 3, shifted one place to the left)
----
407
```
- Answer: 407

4. 71 × 22
- Use long multiplication:
```
71
× 22
----
142 (71 × 2)
142 (71 × 2, shifted one place to the left)
----
1562
```
- Answer: 1562

5. 56 × 74
- Use long multiplication:
```
56
× 74
----
224 (56 × 4)
392 (56 × 7, shifted one place to the left)
----
4144
```
- Answer: 4144

---

Final Answers:

\[
\boxed{
\begin{array}{ccccc}
319 & 2065 & 3053 & 731 & 486 \\
4928 & 726 & 2275 & 6762 & 1922 \\
3864 & 3350 & 1625 & 5780 & 962 \\
2048 & 1540 & 4524 & 2585 & 420 \\
6188 & 5106 & 407 & 1562 & 4144 \\
\end{array}
}
\]