Winter 2-Digit by 2-Digit Multiplication Worksheets |Missing Numbers Worksheets - Free Printable

Problem Description:

The task is to solve each of the 30 multiplication problems involving two-digit numbers. Each problem requires multiplying two two-digit numbers and finding the product.

Solution Approach:

We will solve each multiplication problem step by step using the standard multiplication method. Here's a general outline of the process for any two-digit multiplication:

1. Multiply the ones place of the second number by the first number.
2. Multiply the tens place of the second number by the first number, shifting the result one place to the left.
3. Add the results from steps 1 and 2 to get the final product.

Let's solve each problem systematically.

---

Detailed Solutions:

#### Problem 1: \( 38 \times 57 \)
\[
\begin{array}{r}
38 \\
\times 57 \\
\hline
266 \quad \text{(38 × 7)} \\
+1900 \quad \text{(38 × 50, shifted left)} \\
\hline
2166 \\
\end{array}
\]
Answer: \( 2166 \)

#### Problem 2: \( 99 \times 38 \)
\[
\begin{array}{r}
99 \\
\times 38 \\
\hline
792 \quad \text{(99 × 8)} \\
+2970 \quad \text{(99 × 30, shifted left)} \\
\hline
3762 \\
\end{array}
\]
Answer: \( 3762 \)

#### Problem 3: \( 78 \times 35 \)
\[
\begin{array}{r}
78 \\
\times 35 \\
\hline
390 \quad \text{(78 × 5)} \\
+2340 \quad \text{(78 × 30, shifted left)} \\
\hline
2730 \\
\end{array}
\]
Answer: \( 2730 \)

#### Problem 4: \( 40 \times 77 \)
\[
\begin{array}{r}
40 \\
\times 77 \\
\hline
280 \quad \text{(40 × 7)} \\
+2800 \quad \text{(40 × 70, shifted left)} \\
\hline
3080 \\
\end{array}
\]
Answer: \( 3080 \)

#### Problem 5: \( 35 \times 26 \)
\[
\begin{array}{r}
35 \\
\times 26 \\
\hline
210 \quad \text{(35 × 6)} \\
+700 \quad \text{(35 × 20, shifted left)} \\
\hline
910 \\
\end{array}
\]
Answer: \( 910 \)

#### Problem 6: \( 86 \times 86 \)
\[
\begin{array}{r}
86 \\
\times 86 \\
\hline
516 \quad \text{(86 × 6)} \\
+6880 \quad \text{(86 × 80, shifted left)} \\
\hline
7396 \\
\end{array}
\]
Answer: \( 7396 \)

#### Problem 7: \( 95 \times 92 \)
\[
\begin{array}{r}
95 \\
\times 92 \\
\hline
190 \quad \text{(95 × 2)} \\
+8550 \quad \text{(95 × 90, shifted left)} \\
\hline
8740 \\
\end{array}
\]
Answer: \( 8740 \)

#### Problem 8: \( 72 \times 97 \)
\[
\begin{array}{r}
72 \\
\times 97 \\
\hline
504 \quad \text{(72 × 7)} \\
+6480 \quad \text{(72 × 90, shifted left)} \\
\hline
6984 \\
\end{array}
\]
Answer: \( 6984 \)

#### Problem 9: \( 45 \times 41 \)
\[
\begin{array}{r}
45 \\
\times 41 \\
\hline
45 \quad \text{(45 × 1)} \\
+1800 \quad \text{(45 × 40, shifted left)} \\
\hline
1845 \\
\end{array}
\]
Answer: \( 1845 \)

#### Problem 10: \( 95 \times 13 \)
\[
\begin{array}{r}
95 \\
\times 13 \\
\hline
285 \quad \text{(95 × 3)} \\
+950 \quad \text{(95 × 10, shifted left)} \\
\hline
1235 \\
\end{array}
\]
Answer: \( 1235 \)

#### Problem 11: \( 49 \times 92 \)
\[
\begin{array}{r}
49 \\
\times 92 \\
\hline
98 \quad \text{(49 × 2)} \\
+4410 \quad \text{(49 × 90, shifted left)} \\
\hline
4508 \\
\end{array}
\]
Answer: \( 4508 \)

#### Problem 12: \( 84 \times 65 \)
\[
\begin{array}{r}
84 \\
\times 65 \\
\hline
420 \quad \text{(84 × 5)} \\
+5040 \quad \text{(84 × 60, shifted left)} \\
\hline
5460 \\
\end{array}
\]
Answer: \( 5460 \)

#### Problem 13: \( 10 \times 37 \)
\[
\begin{array}{r}
10 \\
\times 37 \\
\hline
70 \quad \text{(10 × 7)} \\
+300 \quad \text{(10 × 30, shifted left)} \\
\hline
370 \\
\end{array}
\]
Answer: \( 370 \)

#### Problem 14: \( 58 \times 33 \)
\[
\begin{array}{r}
58 \\
\times 33 \\
\hline
174 \quad \text{(58 × 3)} \\
+1740 \quad \text{(58 × 30, shifted left)} \\
\hline
1914 \\
\end{array}
\]
Answer: \( 1914 \)

#### Problem 15: \( 29 \times 42 \)
\[
\begin{array}{r}
29 \\
\times 42 \\
\hline
58 \quad \text{(29 × 2)} \\
+1160 \quad \text{(29 × 40, shifted left)} \\
\hline
1218 \\
\end{array}
\]
Answer: \( 1218 \)

#### Problem 16: \( 36 \times 86 \)
\[
\begin{array}{r}
36 \\
\times 86 \\
\hline
216 \quad \text{(36 × 6)} \\
+2880 \quad \text{(36 × 80, shifted left)} \\
\hline
3096 \\
\end{array}
\]
Answer: \( 3096 \)

#### Problem 17: \( 87 \times 57 \)
\[
\begin{array}{r}
87 \\
\times 57 \\
\hline
609 \quad \text{(87 × 7)} \\
+4350 \quad \text{(87 × 50, shifted left)} \\
\hline
4959 \\
\end{array}
\]
Answer: \( 4959 \)

#### Problem 18: \( 36 \times 62 \)
\[
\begin{array}{r}
36 \\
\times 62 \\
\hline
72 \quad \text{(36 × 2)} \\
+2160 \quad \text{(36 × 60, shifted left)} \\
\hline
2232 \\
\end{array}
\]
Answer: \( 2232 \)

#### Problem 19: \( 49 \times 53 \)
\[
\begin{array}{r}
49 \\
\times 53 \\
\hline
147 \quad \text{(49 × 3)} \\
+2450 \quad \text{(49 × 50, shifted left)} \\
\hline
2597 \\
\end{array}
\]
Answer: \( 2597 \)

#### Problem 20: \( 50 \times 94 \)
\[
\begin{array}{r}
50 \\
\times 94 \\
\hline
200 \quad \text{(50 × 4)} \\
+4500 \quad \text{(50 × 90, shifted left)} \\
\hline
4700 \\
\end{array}
\]
Answer: \( 4700 \)

#### Problem 21: \( 72 \times 96 \)
\[
\begin{array}{r}
72 \\
\times 96 \\
\hline
432 \quad \text{(72 × 6)} \\
+6480 \quad \text{(72 × 90, shifted left)} \\
\hline
6912 \\
\end{array}
\]
Answer: \( 6912 \)

#### Problem 22: \( 72 \times 95 \)
\[
\begin{array}{r}
72 \\
\times 95 \\
\hline
360 \quad \text{(72 × 5)} \\
+6480 \quad \text{(72 × 90, shifted left)} \\
\hline
6840 \\
\end{array}
\]
Answer: \( 6840 \)

#### Problem 23: \( 74 \times 58 \)
\[
\begin{array}{r}
74 \\
\times 58 \\
\hline
592 \quad \text{(74 × 8)} \\
+3700 \quad \text{(74 × 50, shifted left)} \\
\hline
4292 \\
\end{array}
\]
Answer: \( 4292 \)

#### Problem 24: \( 29 \times 95 \)
\[
\begin{array}{r}
29 \\
\times 95 \\
\hline
145 \quad \text{(29 × 5)} \\
+2610 \quad \text{(29 × 90, shifted left)} \\
\hline
2755 \\
\end{array}
\]
Answer: \( 2755 \)

#### Problem 25: \( 85 \times 43 \)
\[
\begin{array}{r}
85 \\
\times 43 \\
\hline
255 \quad \text{(85 × 3)} \\
+3400 \quad \text{(85 × 40, shifted left)} \\
\hline
3655 \\
\end{array}
\]
Answer: \( 3655 \)

#### Problem 26: \( 76 \times 45 \)
\[
\begin{array}{r}
76 \\
\times 45 \\
\hline
380 \quad \text{(76 × 5)} \\
+3040 \quad \text{(76 × 40, shifted left)} \\
\hline
3420 \\
\end{array}
\]
Answer: \( 3420 \)

#### Problem 27: \( 16 \times 57 \)
\[
\begin{array}{r}
16 \\
\times 57 \\
\hline
112 \quad \text{(16 × 7)} \\
+800 \quad \text{(16 × 50, shifted left)} \\
\hline
912 \\
\end{array}
\]
Answer: \( 912 \)

#### Problem 28: \( 54 \times 24 \)
\[
\begin{array}{r}
54 \\
\times 24 \\
\hline
216 \quad \text{(54 × 4)} \\
+1080 \quad \text{(54 × 20, shifted left)} \\
\hline
1296 \\
\end{array}
\]
Answer: \( 1296 \)

#### Problem 29: \( 13 \times 46 \)
\[
\begin{array}{r}
13 \\
\times 46 \\
\hline
78 \quad \text{(13 × 6)} \\
+520 \quad \text{(13 × 40, shifted left)} \\
\hline
598 \\
\end{array}
\]
Answer: \( 598 \)

#### Problem 30: \( 57 \times 22 \)
\[
\begin{array}{r}
57 \\
\times 22 \\
\hline
114 \quad \text{(57 × 2)} \\
+1140 \quad \text{(57 × 20, shifted left)} \\
\hline
1254 \\
\end{array}
\]
Answer: \( 1254 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 2166 \\
2) & 3762 \\
3) & 2730 \\
4) & 3080 \\
5) & 910 \\
6) & 7396 \\
7) & 8740 \\
8) & 6984 \\
9) & 1845 \\
10) & 1235 \\
11) & 4508 \\
12) & 5460 \\
13) & 370 \\
14) & 1914 \\
15) & 1218 \\
16) & 3096 \\
17) & 4959 \\
18) & 2232 \\
19) & 2597 \\
20) & 4700 \\
21) & 6912 \\
22) & 6840 \\
23) & 4292 \\
24) & 2755 \\
25) & 3655 \\
26) & 3420 \\
27) & 912 \\
28) & 1296 \\
29) & 598 \\
30) & 1254 \\
\end{array}
}
\]