Double Digit Multiplication Worksheets 4th Grade - Free Printable

Problem Description:

The task involves solving a series of 2-digit by 2-digit multiplication problems. The worksheet provides the problems and their solutions, but we will verify each solution step-by-step to ensure accuracy.

Solution Explanation:

#### 1) \( 27 \times 16 \)
\[
\begin{array}{r}
27 \\
\times 16 \\
\hline
162 \quad \text{(27 × 6)} \\
+ 270 \quad \text{(27 × 10, shifted one place to the left)} \\
\hline
432 \\
\end{array}
\]
- Verification: \( 27 \times 16 = 432 \)
- Correct Answer: \( 432 \)

#### 2) \( 45 \times 12 \)
\[
\begin{array}{r}
45 \\
\times 12 \\
\hline
90 \quad \text{(45 × 2)} \\
+ 450 \quad \text{(45 × 10, shifted one place to the left)} \\
\hline
540 \\
\end{array}
\]
- Verification: \( 45 \times 12 = 540 \)
- Correct Answer: \( 540 \)

#### 3) \( 35 \times 18 \)
\[
\begin{array}{r}
35 \\
\times 18 \\
\hline
280 \quad \text{(35 × 8)} \\
+ 350 \quad \text{(35 × 10, shifted one place to the left)} \\
\hline
630 \\
\end{array}
\]
- Verification: \( 35 \times 18 = 630 \)
- Correct Answer: \( 630 \)

#### 4) \( 31 \times 23 \)
\[
\begin{array}{r}
31 \\
\times 23 \\
\hline
93 \quad \text{(31 × 3)} \\
+ 620 \quad \text{(31 × 20, shifted one place to the left)} \\
\hline
713 \\
\end{array}
\]
- Verification: \( 31 \times 23 = 713 \)
- Correct Answer: \( 713 \)

#### 5) \( 35 \times 21 \)
\[
\begin{array}{r}
35 \\
\times 21 \\
\hline
35 \quad \text{(35 × 1)} \\
+ 700 \quad \text{(35 × 20, shifted one place to the left)} \\
\hline
735 \\
\end{array}
\]
- Verification: \( 35 \times 21 = 735 \)
- Correct Answer: \( 735 \)

#### 6) \( 56 \times 14 \)
\[
\begin{array}{r}
56 \\
\times 14 \\
\hline
224 \quad \text{(56 × 4)} \\
+ 560 \quad \text{(56 × 10, shifted one place to the left)} \\
\hline
784 \\
\end{array}
\]
- Verification: \( 56 \times 14 = 784 \)
- Correct Answer: \( 784 \)

#### 7) \( 31 \times 18 \)
\[
\begin{array}{r}
31 \\
\times 18 \\
\hline
248 \quad \text{(31 × 8)} \\
+ 310 \quad \text{(31 × 10, shifted one place to the left)} \\
\hline
558 \\
\end{array}
\]
- Verification: \( 31 \times 18 = 558 \)
- Correct Answer: \( 558 \)

#### 8) \( 56 \times 15 \)
\[
\begin{array}{r}
56 \\
\times 15 \\
\hline
280 \quad \text{(56 × 5)} \\
+ 560 \quad \text{(56 × 10, shifted one place to the left)} \\
\hline
840 \\
\end{array}
\]
- Verification: \( 56 \times 15 = 840 \)
- Correct Answer: \( 840 \)

#### 9) \( 39 \times 24 \)
\[
\begin{array}{r}
39 \\
\times 24 \\
\hline
156 \quad \text{(39 × 4)} \\
+ 780 \quad \text{(39 × 20, shifted one place to the left)} \\
\hline
936 \\
\end{array}
\]
- Verification: \( 39 \times 24 = 936 \)
- Correct Answer: \( 936 \)

#### 10) \( 17 \times 32 \)
\[
\begin{array}{r}
17 \\
\times 32 \\
\hline
34 \quad \text{(17 × 2)} \\
+ 510 \quad \text{(17 × 30, shifted one place to the left)} \\
\hline
544 \\
\end{array}
\]
- Verification: \( 17 \times 32 = 544 \)
- Correct Answer: \( 544 \)

#### 11) \( 24 \times 33 \)
\[
\begin{array}{r}
24 \\
\times 33 \\
\hline
72 \quad \text{(24 × 3)} \\
+ 720 \quad \text{(24 × 30, shifted one place to the left)} \\
\hline
792 \\
\end{array}
\]
- Verification: \( 24 \times 33 = 792 \)
- Correct Answer: \( 792 \)

#### 12) \( 33 \times 25 \)
\[
\begin{array}{r}
33 \\
\times 25 \\
\hline
165 \quad \text{(33 × 5)} \\
+ 660 \quad \text{(33 × 20, shifted one place to the left)} \\
\hline
825 \\
\end{array}
\]
- Verification: \( 33 \times 25 = 825 \)
- Correct Answer: \( 825 \)

Final Answers:

\[
\boxed{432, 540, 630, 713, 735, 784, 558, 840, 936, 544, 792, 825}
\]