Double Digit Multiplication Worksheets - Free Printable
Educational worksheet: Double Digit Multiplication Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Double Digit Multiplication Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Double Digit Multiplication Worksheets
The task is to solve the multiplication problems provided in the image. Below, I will calculate each product step by step.
---
1. 55 × 11
- Use the distributive property: \( 55 \times 11 = 55 \times (10 + 1) = (55 \times 10) + (55 \times 1) \)
- \( 55 \times 10 = 550 \)
- \( 55 \times 1 = 55 \)
- \( 550 + 55 = 605 \)
- Answer: 605
2. 31 × 42
- Use long multiplication:
```
31
× 42
----
62 (31 × 2)
124 (31 × 4, shifted one place to the left)
----
1302
```
- Answer: 1302
3. 27 × 72
- Use long multiplication:
```
27
× 72
----
54 (27 × 2)
189 (27 × 7, shifted one place to the left)
----
1944
```
- Answer: 1944
4. 25 × 15
- Use the distributive property: \( 25 \times 15 = 25 \times (10 + 5) = (25 \times 10) + (25 \times 5) \)
- \( 25 \times 10 = 250 \)
- \( 25 \times 5 = 125 \)
- \( 250 + 125 = 375 \)
- Answer: 375
5. 97 × 53
- Use long multiplication:
```
97
× 53
----
291 (97 × 3)
485 (97 × 5, shifted one place to the left)
----
5141
```
- Answer: 5141
6. 38 × 37
- Use long multiplication:
```
38
× 37
----
266 (38 × 7)
114 (38 × 3, shifted one place to the left)
----
1406
```
- Answer: 1406
---
1. 74 × 67
- Use long multiplication:
```
74
× 67
----
518 (74 × 7)
444 (74 × 6, shifted one place to the left)
----
4958
```
- Answer: 4958
2. 99 × 52
- Use long multiplication:
```
99
× 52
----
198 (99 × 2)
495 (99 × 5, shifted one place to the left)
----
5148
```
- Answer: 5148
3. 10 × 36
- Simplify: \( 10 \times 36 = 360 \)
- Answer: 360
4. 37 × 35
- Use long multiplication:
```
37
× 35
----
185 (37 × 5)
111 (37 × 3, shifted one place to the left)
----
1295
```
- Answer: 1295
5. 18 × 19
- Use long multiplication:
```
18
× 19
----
162 (18 × 9)
18 (18 × 1, shifted one place to the left)
----
342
```
- Answer: 342
6. 24 × 53
- Use long multiplication:
```
24
× 53
----
72 (24 × 3)
120 (24 × 5, shifted one place to the left)
----
1272
```
- Answer: 1272
---
1. 84 × 84
- Use long multiplication:
```
84
× 84
----
336 (84 × 4)
672 (84 × 8, shifted one place to the left)
----
7056
```
- Answer: 7056
2. 41 × 25
- Use the distributive property: \( 41 \times 25 = 41 \times (20 + 5) = (41 \times 20) + (41 \times 5) \)
- \( 41 \times 20 = 820 \)
- \( 41 \times 5 = 205 \)
- \( 820 + 205 = 1025 \)
- Answer: 1025
3. 55 × 29
- Use long multiplication:
```
55
× 29
----
495 (55 × 9)
110 (55 × 2, shifted one place to the left)
----
1595
```
- Answer: 1595
4. 93 × 30
- Simplify: \( 93 \times 30 = 93 \times 3 \times 10 = 279 \times 10 = 2790 \)
- Answer: 2790
5. 20 × 80
- Simplify: \( 20 \times 80 = 1600 \)
- Answer: 1600
6. 25 × 47
- Use long multiplication:
```
25
× 47
----
175 (25 × 7)
100 (25 × 4, shifted one place to the left)
----
1175
```
- Answer: 1175
---
\[
\boxed{
\begin{array}{cccccc}
605 & 1302 & 1944 & 375 & 5141 & 1406 \\
4958 & 5148 & 360 & 1295 & 342 & 1272 \\
7056 & 1025 & 1595 & 2790 & 1600 & 1175 \\
\end{array}
}
\]
---
First Row:
1. 55 × 11
- Use the distributive property: \( 55 \times 11 = 55 \times (10 + 1) = (55 \times 10) + (55 \times 1) \)
- \( 55 \times 10 = 550 \)
- \( 55 \times 1 = 55 \)
- \( 550 + 55 = 605 \)
- Answer: 605
2. 31 × 42
- Use long multiplication:
```
31
× 42
----
62 (31 × 2)
124 (31 × 4, shifted one place to the left)
----
1302
```
- Answer: 1302
3. 27 × 72
- Use long multiplication:
```
27
× 72
----
54 (27 × 2)
189 (27 × 7, shifted one place to the left)
----
1944
```
- Answer: 1944
4. 25 × 15
- Use the distributive property: \( 25 \times 15 = 25 \times (10 + 5) = (25 \times 10) + (25 \times 5) \)
- \( 25 \times 10 = 250 \)
- \( 25 \times 5 = 125 \)
- \( 250 + 125 = 375 \)
- Answer: 375
5. 97 × 53
- Use long multiplication:
```
97
× 53
----
291 (97 × 3)
485 (97 × 5, shifted one place to the left)
----
5141
```
- Answer: 5141
6. 38 × 37
- Use long multiplication:
```
38
× 37
----
266 (38 × 7)
114 (38 × 3, shifted one place to the left)
----
1406
```
- Answer: 1406
---
Second Row:
1. 74 × 67
- Use long multiplication:
```
74
× 67
----
518 (74 × 7)
444 (74 × 6, shifted one place to the left)
----
4958
```
- Answer: 4958
2. 99 × 52
- Use long multiplication:
```
99
× 52
----
198 (99 × 2)
495 (99 × 5, shifted one place to the left)
----
5148
```
- Answer: 5148
3. 10 × 36
- Simplify: \( 10 \times 36 = 360 \)
- Answer: 360
4. 37 × 35
- Use long multiplication:
```
37
× 35
----
185 (37 × 5)
111 (37 × 3, shifted one place to the left)
----
1295
```
- Answer: 1295
5. 18 × 19
- Use long multiplication:
```
18
× 19
----
162 (18 × 9)
18 (18 × 1, shifted one place to the left)
----
342
```
- Answer: 342
6. 24 × 53
- Use long multiplication:
```
24
× 53
----
72 (24 × 3)
120 (24 × 5, shifted one place to the left)
----
1272
```
- Answer: 1272
---
Third Row:
1. 84 × 84
- Use long multiplication:
```
84
× 84
----
336 (84 × 4)
672 (84 × 8, shifted one place to the left)
----
7056
```
- Answer: 7056
2. 41 × 25
- Use the distributive property: \( 41 \times 25 = 41 \times (20 + 5) = (41 \times 20) + (41 \times 5) \)
- \( 41 \times 20 = 820 \)
- \( 41 \times 5 = 205 \)
- \( 820 + 205 = 1025 \)
- Answer: 1025
3. 55 × 29
- Use long multiplication:
```
55
× 29
----
495 (55 × 9)
110 (55 × 2, shifted one place to the left)
----
1595
```
- Answer: 1595
4. 93 × 30
- Simplify: \( 93 \times 30 = 93 \times 3 \times 10 = 279 \times 10 = 2790 \)
- Answer: 2790
5. 20 × 80
- Simplify: \( 20 \times 80 = 1600 \)
- Answer: 1600
6. 25 × 47
- Use long multiplication:
```
25
× 47
----
175 (25 × 7)
100 (25 × 4, shifted one place to the left)
----
1175
```
- Answer: 1175
---
Final Answers:
\[
\boxed{
\begin{array}{cccccc}
605 & 1302 & 1944 & 375 & 5141 & 1406 \\
4958 & 5148 & 360 & 1295 & 342 & 1272 \\
7056 & 1025 & 1595 & 2790 & 1600 & 1175 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 2 digit multiplication worksheet grade 3.