Double Digit Multiplication Worksheets 4th Grade - Free Printable

The image you uploaded contains a series of multiplication problems involving 2-digit numbers multiplied by 2-digit numbers. Below, I will solve each problem step by step and explain the process.

---

Problem 1: \( 27 \times 56 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
27 \\
\times 56 \\
\hline
\end{array}
\]

2. Multiply \( 27 \) by the units digit of \( 56 \):
- Multiply \( 27 \) by \( 6 \):
\[
27 \times 6 = 162
\]
- Write \( 162 \) below the line, aligning the digits to the right.

3. Multiply \( 27 \) by the tens digit of \( 56 \):
- Multiply \( 27 \) by \( 5 \):
\[
27 \times 5 = 135
\]
- Since \( 5 \) is in the tens place, shift the result one place to the left:
\[
1350
\]
- Write \( 1350 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
162 \\
+ 1350 \\
\hline
1512 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{1512}
\]

---

Problem 2: \( 45 \times 12 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
45 \\
\times 12 \\
\hline
\end{array}
\]

2. Multiply \( 45 \) by the units digit of \( 12 \):
- Multiply \( 45 \) by \( 2 \):
\[
45 \times 2 = 90
\]
- Write \( 90 \) below the line, aligning the digits to the right.

3. Multiply \( 45 \) by the tens digit of \( 12 \):
- Multiply \( 45 \) by \( 1 \):
\[
45 \times 1 = 45
\]
- Since \( 1 \) is in the tens place, shift the result one place to the left:
\[
450
\]
- Write \( 450 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
90 \\
+ 450 \\
\hline
540 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{540}
\]

---

Problem 3: \( 38 \times 56 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
38 \\
\times 56 \\
\hline
\end{array}
\]

2. Multiply \( 38 \) by the units digit of \( 56 \):
- Multiply \( 38 \) by \( 6 \):
\[
38 \times 6 = 228
\]
- Write \( 228 \) below the line, aligning the digits to the right.

3. Multiply \( 38 \) by the tens digit of \( 56 \):
- Multiply \( 38 \) by \( 5 \):
\[
38 \times 5 = 190
\]
- Since \( 5 \) is in the tens place, shift the result one place to the left:
\[
1900
\]
- Write \( 1900 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
228 \\
+ 1900 \\
\hline
2128 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{2128}
\]

---

Problem 4: \( 33 \times 22 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
33 \\
\times 22 \\
\hline
\end{array}
\]

2. Multiply \( 33 \) by the units digit of \( 22 \):
- Multiply \( 33 \) by \( 2 \):
\[
33 \times 2 = 66
\]
- Write \( 66 \) below the line, aligning the digits to the right.

3. Multiply \( 33 \) by the tens digit of \( 22 \):
- Multiply \( 33 \) by \( 2 \):
\[
33 \times 2 = 66
\]
- Since \( 2 \) is in the tens place, shift the result one place to the left:
\[
660
\]
- Write \( 660 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
66 \\
+ 660 \\
\hline
726 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{726}
\]

---

Problem 5: \( 45 \times 21 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
45 \\
\times 21 \\
\hline
\end{array}
\]

2. Multiply \( 45 \) by the units digit of \( 21 \):
- Multiply \( 45 \) by \( 1 \):
\[
45 \times 1 = 45
\]
- Write \( 45 \) below the line, aligning the digits to the right.

3. Multiply \( 45 \) by the tens digit of \( 21 \):
- Multiply \( 45 \) by \( 2 \):
\[
45 \times 2 = 90
\]
- Since \( 2 \) is in the tens place, shift the result one place to the left:
\[
900
\]
- Write \( 900 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
45 \\
+ 900 \\
\hline
945 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{945}
\]

---

Problem 6: \( 56 \times 14 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
56 \\
\times 14 \\
\hline
\end{array}
\]

2. Multiply \( 56 \) by the units digit of \( 14 \):
- Multiply \( 56 \) by \( 4 \):
\[
56 \times 4 = 224
\]
- Write \( 224 \) below the line, aligning the digits to the right.

3. Multiply \( 56 \) by the tens digit of \( 14 \):
- Multiply \( 56 \) by \( 1 \):
\[
56 \times 1 = 56
\]
- Since \( 1 \) is in the tens place, shift the result one place to the left:
\[
560
\]
- Write \( 560 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
224 \\
+ 560 \\
\hline
784 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{784}
\]

---

Problem 7: \( 33 \times 18 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
33 \\
\times 18 \\
\hline
\end{array}
\]

2. Multiply \( 33 \) by the units digit of \( 18 \):
- Multiply \( 33 \) by \( 8 \):
\[
33 \times 8 = 264
\]
- Write \( 264 \) below the line, aligning the digits to the right.

3. Multiply \( 33 \) by the tens digit of \( 18 \):
- Multiply \( 33 \) by \( 1 \):
\[
33 \times 1 = 33
\]
- Since \( 1 \) is in the tens place, shift the result one place to the left:
\[
330
\]
- Write \( 330 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
264 \\
+ 330 \\
\hline
594 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{594}
\]

---

Problem 8: \( 56 \times 15 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
56 \\
\times 15 \\
\hline
\end{array}
\]

2. Multiply \( 56 \) by the units digit of \( 15 \):
- Multiply \( 56 \) by \( 5 \):
\[
56 \times 5 = 280
\]
- Write \( 280 \) below the line, aligning the digits to the right.

3. Multiply \( 56 \) by the tens digit of \( 15 \):
- Multiply \( 56 \) by \( 1 \):
\[
56 \times 1 = 56
\]
- Since \( 1 \) is in the tens place, shift the result one place to the left:
\[
560
\]
- Write \( 560 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
280 \\
+ 560 \\
\hline
840 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{840}
\]

---

Problem 9: \( 39 \times 24 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
39 \\
\times 24 \\
\hline
\end{array}
\]

2. Multiply \( 39 \) by the units digit of \( 24 \):
- Multiply \( 39 \) by \( 4 \):
\[
39 \times 4 = 156
\]
- Write \( 156 \) below the line, aligning the digits to the right.

3. Multiply \( 39 \) by the tens digit of \( 24 \):
- Multiply \( 39 \) by \( 2 \):
\[
39 \times 2 = 78
\]
- Since \( 2 \) is in the tens place, shift the result one place to the left:
\[
780
\]
- Write \( 780 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
156 \\
+ 780 \\
\hline
936 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{936}
\]

---

Problem 10: \( 27 \times 33 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
27 \\
\times 33 \\
\hline
\end{array}
\]

2. Multiply \( 27 \) by the units digit of \( 33 \):
- Multiply \( 27 \) by \( 3 \):
\[
27 \times 3 = 81
\]
- Write \( 81 \) below the line, aligning the digits to the right.

3. Multiply \( 27 \) by the tens digit of \( 33 \):
- Multiply \( 27 \) by \( 3 \):
\[
27 \times 3 = 81
\]
- Since \( 3 \) is in the tens place, shift the result one place to the left:
\[
810
\]
- Write \( 810 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
81 \\
+ 810 \\
\hline
891 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{891}
\]

---

Problem 11: \( 24 \times 33 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
24 \\
\times 33 \\
\hline
\end{array}
\]

2. Multiply \( 24 \) by the units digit of \( 33 \):
- Multiply \( 24 \) by \( 3 \):
\[
24 \times 3 = 72
\]
- Write \( 72 \) below the line, aligning the digits to the right.

3. Multiply \( 24 \) by the tens digit of \( 33 \):
- Multiply \( 24 \) by \( 3 \):
\[
24 \times 3 = 72
\]
- Since \( 3 \) is in the tens place, shift the result one place to the left:
\[
720
\]
- Write \( 720 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
72 \\
+ 720 \\
\hline
792 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{792}
\]

---

Problem 12: \( 33 \times 25 \)

#### Step-by-Step Solution:
1. Set up the multiplication:
\[
\begin{array}{r}
33 \\
\times 25 \\
\hline
\end{array}
\]

2. Multiply \( 33 \) by the units digit of \( 25 \):
- Multiply \( 33 \) by \( 5 \):
\[
33 \times 5 = 165
\]
- Write \( 165 \) below the line, aligning the digits to the right.

3. Multiply \( 33 \) by the tens digit of \( 25 \):
- Multiply \( 33 \) by \( 2 \):
\[
33 \times 2 = 66
\]
- Since \( 2 \) is in the tens place, shift the result one place to the left:
\[
660
\]
- Write \( 660 \) below the first product, shifted one place to the left.

4. Add the two partial products:
\[
\begin{array}{r}
165 \\
+ 660 \\
\hline
825 \\
\end{array}
\]

#### Final Answer:
\[
\boxed{825}
\]

---

Final Answers for All Problems:

1. \( 27 \times 56 = \boxed{1512} \)
2. \( 45 \times 12 = \boxed{540} \)
3. \( 38 \times 56 = \boxed{2128} \)
4. \( 33 \times 22 = \boxed{726} \)
5. \( 45 \times 21 = \boxed{945} \)
6. \( 56 \times 14 = \boxed{784} \)
7. \( 33 \times 18 = \boxed{594} \)
8. \( 56 \times 15 = \boxed{840} \)
9. \( 39 \times 24 = \boxed{936} \)
10. \( 27 \times 33 = \boxed{891} \)
11. \( 24 \times 33 = \boxed{792} \)
12. \( 33 \times 25 = \boxed{825} \)

Boxed Final Answer:
\[
\boxed{1512, 540, 2128, 726, 945, 784, 594, 840, 936, 891, 792, 825}
\]