Printable multiplication worksheet for practicing two-digit multiplication problems.
Multiplication worksheets with 16 two-digit multiplication problems for students to solve.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying 2 Digit by 2 Digit Numbers
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying 2 Digit by 2 Digit Numbers
You’ve uploaded a multiplication worksheet with 16 problems, each asking you to multiply two 2-digit numbers. I’ll solve all of them step by step and explain the process.
---
To multiply two 2-digit numbers (e.g., `AB × CD`), we use standard long multiplication:
1. Multiply the top number by the units digit of the bottom number.
2. Multiply the top number by the tens digit of the bottom number (shifted one place left).
3. Add the two results.
Alternatively, you can use the formula:
`(10a + b) × (10c + d) = 100ac + 10ad + 10bc + bd`
But for clarity, I’ll show full working for a few examples and then list all answers.
---
## ✔ Solutions:
1. 34 × 78
```
34
× 78
-----
272 ← 34 × 8
2380 ← 34 × 70 (shifted left)
-----
2652
```
✔ Answer: 2652
---
2. 21 × 64
```
21
× 64
-----
84 ← 21 × 4
1260 ← 21 × 60
-----
1344
```
✔ Answer: 1344
---
3. 91 × 57
```
91
× 57
-----
637 ← 91 × 7
4550 ← 91 × 50
-----
5187
```
✔ Answer: 5187
---
4. 64 × 13
```
64
× 13
-----
192 ← 64 × 3
640 ← 64 × 10
-----
832
```
✔ Answer: 832
---
5. 52 × 32
```
52
× 32
-----
104 ← 52 × 2
1560 ← 52 × 30
-----
1664
```
✔ Answer: 1664
---
6. 64 × 93
```
64
× 93
-----
192 ← 64 × 3
5760 ← 64 × 90
-----
5952
```
✔ Answer: 5952
---
7. 38 × 12
```
38
× 12
-----
76 ← 38 × 2
380 ← 38 × 10
-----
456
```
✔ Answer: 456
---
8. 27 × 45
```
27
× 45
-----
135 ← 27 × 5
1080 ← 27 × 40
-----
1215
```
✔ Answer: 1215
---
9. 62 × 87
```
62
× 87
-----
434 ← 62 × 7
4960 ← 62 × 80
-----
5394
```
✔ Answer: 5394
---
10. 18 × 54
```
18
× 54
-----
72 ← 18 × 4
900 ← 18 × 50
-----
972
```
✔ Answer: 972
---
11. 64 × 27
```
64
× 27
-----
448 ← 64 × 7
1280 ← 64 × 20
-----
1728
```
✔ Answer: 1728
---
12. 31 × 24
```
31
× 24
-----
124 ← 31 × 4
620 ← 31 × 20
-----
744
```
✔ Answer: 744
---
13. 39 × 65
```
39
× 65
-----
195 ← 39 × 5
2340 ← 39 × 60
-----
2535
```
✔ Answer: 2535
---
14. 94 × 34
```
94
× 34
-----
376 ← 94 × 4
2820 ← 94 × 30
-----
3196
```
✔ Answer: 3196
---
15. 41 × 56
```
41
× 56
-----
246 ← 41 × 6
2050 ← 41 × 50
-----
2296
```
✔ Answer: 2296
---
16. 19 × 48
```
19
× 48
-----
152 ← 19 × 8
760 ← 19 × 40
-----
912
```
✔ Answer: 912
---
## 📋 Final Answer Key:
| Problem | Answer |
|---------|--------|
| 34 × 78 | 2652 |
| 21 × 64 | 1344 |
| 91 × 57 | 5187 |
| 64 × 13 | 832 |
| 52 × 32 | 1664 |
| 64 × 93 | 5952 |
| 38 × 12 | 456 |
| 27 × 45 | 1215 |
| 62 × 87 | 5394 |
| 18 × 54 | 972 |
| 64 × 27 | 1728 |
| 31 × 24 | 744 |
| 39 × 65 | 2535 |
| 94 × 34 | 3196 |
| 41 × 56 | 2296 |
| 19 × 48 | 912 |
---
## 💡 Tips for Students:
- Always align digits correctly when writing partial products.
- Remember to shift the second row one place to the left (because it’s multiplied by the tens digit).
- Double-check addition at the end — many errors happen there!
- Practice with smaller numbers first, then build up to 2-digit × 2-digit.
Let me know if you’d like a printable answer sheet or step-by-step videos for any problem! 🎯
---
🔢 General Method:
To multiply two 2-digit numbers (e.g., `AB × CD`), we use standard long multiplication:
1. Multiply the top number by the units digit of the bottom number.
2. Multiply the top number by the tens digit of the bottom number (shifted one place left).
3. Add the two results.
Alternatively, you can use the formula:
`(10a + b) × (10c + d) = 100ac + 10ad + 10bc + bd`
But for clarity, I’ll show full working for a few examples and then list all answers.
---
## ✔ Solutions:
Row 1:
1. 34 × 78
```
34
× 78
-----
272 ← 34 × 8
2380 ← 34 × 70 (shifted left)
-----
2652
```
✔ Answer: 2652
---
2. 21 × 64
```
21
× 64
-----
84 ← 21 × 4
1260 ← 21 × 60
-----
1344
```
✔ Answer: 1344
---
3. 91 × 57
```
91
× 57
-----
637 ← 91 × 7
4550 ← 91 × 50
-----
5187
```
✔ Answer: 5187
---
4. 64 × 13
```
64
× 13
-----
192 ← 64 × 3
640 ← 64 × 10
-----
832
```
✔ Answer: 832
---
Row 2:
5. 52 × 32
```
52
× 32
-----
104 ← 52 × 2
1560 ← 52 × 30
-----
1664
```
✔ Answer: 1664
---
6. 64 × 93
```
64
× 93
-----
192 ← 64 × 3
5760 ← 64 × 90
-----
5952
```
✔ Answer: 5952
---
7. 38 × 12
```
38
× 12
-----
76 ← 38 × 2
380 ← 38 × 10
-----
456
```
✔ Answer: 456
---
8. 27 × 45
```
27
× 45
-----
135 ← 27 × 5
1080 ← 27 × 40
-----
1215
```
✔ Answer: 1215
---
Row 3:
9. 62 × 87
```
62
× 87
-----
434 ← 62 × 7
4960 ← 62 × 80
-----
5394
```
✔ Answer: 5394
---
10. 18 × 54
```
18
× 54
-----
72 ← 18 × 4
900 ← 18 × 50
-----
972
```
✔ Answer: 972
---
11. 64 × 27
```
64
× 27
-----
448 ← 64 × 7
1280 ← 64 × 20
-----
1728
```
✔ Answer: 1728
---
12. 31 × 24
```
31
× 24
-----
124 ← 31 × 4
620 ← 31 × 20
-----
744
```
✔ Answer: 744
---
Row 4:
13. 39 × 65
```
39
× 65
-----
195 ← 39 × 5
2340 ← 39 × 60
-----
2535
```
✔ Answer: 2535
---
14. 94 × 34
```
94
× 34
-----
376 ← 94 × 4
2820 ← 94 × 30
-----
3196
```
✔ Answer: 3196
---
15. 41 × 56
```
41
× 56
-----
246 ← 41 × 6
2050 ← 41 × 50
-----
2296
```
✔ Answer: 2296
---
16. 19 × 48
```
19
× 48
-----
152 ← 19 × 8
760 ← 19 × 40
-----
912
```
✔ Answer: 912
---
## 📋 Final Answer Key:
| Problem | Answer |
|---------|--------|
| 34 × 78 | 2652 |
| 21 × 64 | 1344 |
| 91 × 57 | 5187 |
| 64 × 13 | 832 |
| 52 × 32 | 1664 |
| 64 × 93 | 5952 |
| 38 × 12 | 456 |
| 27 × 45 | 1215 |
| 62 × 87 | 5394 |
| 18 × 54 | 972 |
| 64 × 27 | 1728 |
| 31 × 24 | 744 |
| 39 × 65 | 2535 |
| 94 × 34 | 3196 |
| 41 × 56 | 2296 |
| 19 × 48 | 912 |
---
## 💡 Tips for Students:
- Always align digits correctly when writing partial products.
- Remember to shift the second row one place to the left (because it’s multiplied by the tens digit).
- Double-check addition at the end — many errors happen there!
- Practice with smaller numbers first, then build up to 2-digit × 2-digit.
Let me know if you’d like a printable answer sheet or step-by-step videos for any problem! 🎯
Parent Tip: Review the logic above to help your child master the concept of 2 digit multiplication worksheet pdf.