Multiplication Worksheets | Dynamically Created Multiplication ... - Free Printable

Problem:

The task is to solve the multiplication problems listed in the image. Below are the solutions for each problem, along with explanations.

---

#### 1) \( 61 \times 37 \)
- Solution:
\[
61 \times 37 = 2257
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
61 \\
\times 37 \\
\hline
427 \quad \text{(61 × 7)} \\
+1830 \quad \text{(61 × 30, shift one place to the left)} \\
\hline
2257 \\
\end{array}
\]

---

#### 2) \( 80 \times 73 \)
- Solution:
\[
80 \times 73 = 5840
\]
- Explanation:
Break it down:
\[
80 \times 73 = 80 \times (70 + 3) = (80 \times 70) + (80 \times 3) = 5600 + 240 = 5840
\]

---

#### 3) \( 55 \times 17 \)
- Solution:
\[
55 \times 17 = 935
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
55 \\
\times 17 \\
\hline
385 \quad \text{(55 × 7)} \\
+ 550 \quad \text{(55 × 10, shift one place to the left)} \\
\hline
935 \\
\end{array}
\]

---

#### 4) \( 91 \times 81 \)
- Solution:
\[
91 \times 81 = 7371
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
91 \\
\times 81 \\
\hline
91 \quad \text{(91 × 1)} \\
+7280 \quad \text{(91 × 80, shift two places to the left)} \\
\hline
7371 \\
\end{array}
\]

---

#### 5) \( 54 \times 35 \)
- Solution:
\[
54 \times 35 = 1890
\]
- Explanation:
Use the distributive property:
\[
54 \times 35 = 54 \times (30 + 5) = (54 \times 30) + (54 \times 5) = 1620 + 270 = 1890
\]

---

#### 6) \( 38 \times 42 \)
- Solution:
\[
38 \times 42 = 1596
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
38 \\
\times 42 \\
\hline
76 \quad \text{(38 × 2)} \\
+1520 \quad \text{(38 × 40, shift one place to the left)} \\
\hline
1596 \\
\end{array}
\]

---

#### 7) \( 70 \times 39 \)
- Solution:
\[
70 \times 39 = 2730
\]
- Explanation:
Break it down:
\[
70 \times 39 = 70 \times (40 - 1) = (70 \times 40) - (70 \times 1) = 2800 - 70 = 2730
\]

---

#### 8) \( 62 \times 60 \)
- Solution:
\[
62 \times 60 = 3720
\]
- Explanation:
Multiply as usual and add a zero at the end because of the factor of 60:
\[
62 \times 60 = (62 \times 6) \times 10 = 372 \times 10 = 3720
\]

---

#### 9) \( 17 \times 60 \)
- Solution:
\[
17 \times 60 = 1020
\]
- Explanation:
Multiply as usual and add a zero at the end because of the factor of 60:
\[
17 \times 60 = (17 \times 6) \times 10 = 102 \times 10 = 1020
\]

---

#### 10) \( 16 \times 70 \)
- Solution:
\[
16 \times 70 = 1120
\]
- Explanation:
Multiply as usual and add a zero at the end because of the factor of 70:
\[
16 \times 70 = (16 \times 7) \times 10 = 112 \times 10 = 1120
\]

---

#### 11) \( 55 \times 20 \)
- Solution:
\[
55 \times 20 = 1100
\]
- Explanation:
Multiply as usual and add a zero at the end because of the factor of 20:
\[
55 \times 20 = (55 \times 2) \times 10 = 110 \times 10 = 1100
\]

---

#### 12) \( 35 \times 14 \)
- Solution:
\[
35 \times 14 = 490
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
35 \\
\times 14 \\
\hline
140 \quad \text{(35 × 4)} \\
+ 350 \quad \text{(35 × 10, shift one place to the left)} \\
\hline
490 \\
\end{array}
\]

---

#### 13) \( 97 \times 46 \)
- Solution:
\[
97 \times 46 = 4462
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
97 \\
\times 46 \\
\hline
582 \quad \text{(97 × 6)} \\
+3880 \quad \text{(97 × 40, shift one place to the left)} \\
\hline
4462 \\
\end{array}
\]

---

#### 14) \( 57 \times 59 \)
- Solution:
\[
57 \times 59 = 3363
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
57 \\
\times 59 \\
\hline
513 \quad \text{(57 × 9)} \\
+2850 \quad \text{(57 × 50, shift one place to the left)} \\
\hline
3363 \\
\end{array}
\]

---

#### 15) \( 62 \times 66 \)
- Solution:
\[
62 \times 66 = 4102
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
62 \\
\times 66 \\
\hline
372 \quad \text{(62 × 6)} \\
+3720 \quad \text{(62 × 60, shift one place to the left)} \\
\hline
4102 \\
\end{array}
\]

---

#### 16) \( 25 \times 75 \)
- Solution:
\[
25 \times 75 = 1875
\]
- Explanation:
Use the distributive property:
\[
25 \times 75 = 25 \times (70 + 5) = (25 \times 70) + (25 \times 5) = 1750 + 125 = 1875
\]

---

#### 17) \( 78 \times 78 \)
- Solution:
\[
78 \times 78 = 6084
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
78 \\
\times 78 \\
\hline
624 \quad \text{(78 × 8)} \\
+5460 \quad \text{(78 × 70, shift one place to the left)} \\
\hline
6084 \\
\end{array}
\]

---

#### 18) \( 53 \times 41 \)
- Solution:
\[
53 \times 41 = 2173
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
53 \\
\times 41 \\
\hline
53 \quad \text{(53 × 1)} \\
+2120 \quad \text{(53 × 40, shift one place to the left)} \\
\hline
2173 \\
\end{array}
\]

---

#### 19) \( 26 \times 82 \)
- Solution:
\[
26 \times 82 = 2132
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
26 \\
\times 82 \\
\hline
52 \quad \text{(26 × 2)} \\
+2080 \quad \text{(26 × 80, shift one place to the left)} \\
\hline
2132 \\
\end{array}
\]

---

#### 20) \( 19 \times 41 \)
- Solution:
\[
19 \times 41 = 779
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
19 \\
\times 41 \\
\hline
19 \quad \text{(19 × 1)} \\
+760 \quad \text{(19 × 40, shift one place to the left)} \\
\hline
779 \\
\end{array}
\]

---

#### 21) \( 76 \times 27 \)
- Solution:
\[
76 \times 27 = 2052
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
76 \\
\times 27 \\
\hline
532 \quad \text{(76 × 7)} \\
+1520 \quad \text{(76 × 20, shift one place to the left)} \\
\hline
2052 \\
\end{array}
\]

---

#### 22) \( 78 \times 53 \)
- Solution:
\[
78 \times 53 = 4134
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
78 \\
\times 53 \\
\hline
234 \quad \text{(78 × 3)} \\
+3900 \quad \text{(78 × 50, shift one place to the left)} \\
\hline
4134 \\
\end{array}
\]

---

#### 23) \( 36 \times 76 \)
- Solution:
\[
36 \times 76 = 2736
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
36 \\
\times 76 \\
\hline
216 \quad \text{(36 × 6)} \\
+2520 \quad \text{(36 × 70, shift one place to the left)} \\
\hline
2736 \\
\end{array}
\]

---

#### 24) \( 78 \times 65 \)
- Solution:
\[
78 \times 65 = 5070
\]
- Explanation:
Use the standard multiplication method:
\[
\begin{array}{r}
78 \\
\times 65 \\
\hline
390 \quad \text{(78 × 5)} \\
+4680 \quad \text{(78 × 60, shift one place to the left)} \\
\hline
5070 \\
\end{array}
\]

---

Final Answer:

\[
\boxed{
\begin{array}{ll}
1) & 2257 \\
2) & 5840 \\
3) & 935 \\
4) & 7371 \\
5) & 1890 \\
6) & 1596 \\
7) & 2730 \\
8) & 3720 \\
9) & 1020 \\
10) & 1120 \\
11) & 1100 \\
12) & 490 \\
13) & 4462 \\
14) & 3363 \\
15) & 4102 \\
16) & 1875 \\
17) & 6084 \\
18) & 2173 \\
19) & 2132 \\
20) & 779 \\
21) & 2052 \\
22) & 4134 \\
23) & 2736 \\
24) & 5070 \\
\end{array}
}
\]