2-digit by 2-digit Multiplication with Grid Support (A) - Free Printable
Educational worksheet: 2-digit by 2-digit Multiplication with Grid Support (A). Download and print for classroom or home learning activities.
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Step-by-step solution for: 2-digit by 2-digit Multiplication with Grid Support (A)
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Show Answer Key & Explanations
Step-by-step solution for: 2-digit by 2-digit Multiplication with Grid Support (A)
Let's solve each of the 2-digit by 2-digit multiplication problems on the grid. We'll go through each one step-by-step using the standard algorithm (also known as long multiplication), and use the grid to align digits properly.
---
To multiply two 2-digit numbers:
1. Multiply the first number by the ones digit of the second.
2. Multiply the first number by the tens digit of the second (shift one place to the left).
3. Add the two results.
We’ll use the grid to organize our work.
---
---
#### 1. $ 32 \times 39 $
```
32
× 39
----
288 ← 32 × 9
960 ← 32 × 30 (shifted left)
----
1248
```
✔ Answer: 1248
---
#### 2. $ 75 \times 91 $
```
75
× 91
----
75 ← 75 × 1
6750 ← 75 × 90
----
6825
```
✔ Answer: 6825
---
#### 3. $ 18 \times 41 $
```
18
× 41
----
18 ← 18 × 1
720 ← 18 × 40
----
738
```
✔ Answer: 738
---
#### 4. $ 94 \times 35 $
```
94
× 35
----
470 ← 94 × 5
2820 ← 94 × 30
----
3290
```
✔ Answer: 3290
---
#### 5. $ 40 \times 55 $
```
40
× 55
----
0 ← 40 × 5 = 200 → but write 0 for now?
2000 ← 40 × 50 = 2000
----
2200
```
Wait — better:
Actually:
- $ 40 \times 5 = 200 $
- $ 40 \times 50 = 2000 $
- Total: $ 200 + 2000 = 2200 $
✔ Answer: 2200
---
#### 6. $ 56 \times 41 $
```
56
× 41
----
56 ← 56 × 1
2240 ← 56 × 40
----
2296
```
✔ Answer: 2296
---
#### 7. $ 28 \times 54 $
```
28
× 54
----
112 ← 28 × 4
1400 ← 28 × 50
----
1512
```
✔ Answer: 1512
---
#### 8. $ 75 \times 28 $
```
75
× 28
----
600 ← 75 × 8
1500 ← 75 × 20
----
2100
```
✔ Answer: 2100
---
#### 9. $ 62 \times 84 $
```
62
× 84
----
248 ← 62 × 4
4960 ← 62 × 80
----
5208
```
✔ Answer: 5208
---
#### 10. $ 76 \times 26 $
```
76
× 26
----
456 ← 76 × 6
1520 ← 76 × 20
----
1976
```
✔ Answer: 1976
---
#### 11. $ 34 \times 98 $
```
34
× 98
----
272 ← 34 × 8
3060 ← 34 × 90
----
3332
```
✔ Answer: 3332
---
#### 12. $ 24 \times 99 $
```
24
× 99
----
24 ← 24 × 9
2160 ← 24 × 90
----
2384
```
✔ Answer: 2384
---
#### 13. $ 14 \times 51 $
```
14
× 51
----
14 ← 14 × 1
700 ← 14 × 50
----
714
```
✔ Answer: 714
---
#### 14. $ 33 \times 72 $
```
33
× 72
----
66 ← 33 × 2
2310 ← 33 × 70
----
2376
```
✔ Answer: 2376
---
#### 15. $ 97 \times 74 $
```
97
× 74
----
388 ← 97 × 4
6790 ← 97 × 70
----
7178
```
✔ Answer: 7178
---
#### 16. $ 76 \times 57 $
```
76
× 57
----
532 ← 76 × 7
3800 ← 76 × 50
----
4332
```
✔ Answer: 4332
---
#### 17. $ 84 \times 39 $
```
84
× 39
----
756 ← 84 × 9
2520 ← 84 × 30
----
3276
```
✔ Answer: 3276
---
#### 18. $ 82 \times 11 $
```
82
× 11
----
82 ← 82 × 1
820 ← 82 × 10
----
902
```
✔ Answer: 902
---
#### 19. $ 99 \times 48 $
```
99
× 48
----
792 ← 99 × 8
3960 ← 99 × 40
----
4752
```
✔ Answer: 4752
---
#### 20. $ 15 \times 41 $
```
15
× 41
----
15 ← 15 × 1
600 ← 15 × 40
----
615
```
✔ Answer: 615
---
| Problem | Answer |
|--------|--------|
| 1. 32 × 39 | 1248 |
| 2. 75 × 91 | 6825 |
| 3. 18 × 41 | 738 |
| 4. 94 × 35 | 3290 |
| 5. 40 × 55 | 2200 |
| 6. 56 × 41 | 2296 |
| 7. 28 × 54 | 1512 |
| 8. 75 × 28 | 2100 |
| 9. 62 × 84 | 5208 |
|10. 76 × 26 | 1976 |
|11. 34 × 98 | 3332 |
|12. 24 × 99 | 2384 |
|13. 14 × 51 | 714 |
|14. 33 × 72 | 2376 |
|15. 97 × 74 | 7178 |
|16. 76 × 57 | 4332 |
|17. 84 × 39 | 3276 |
|18. 82 × 11 | 902 |
|19. 99 × 48 | 4752 |
|20. 15 × 41 | 615 |
---
Each box in the grid is for a single digit. When multiplying:
- First, multiply by the ones digit → write result below.
- Then, multiply by the tens digit → write result shifted one column left.
- Add the two partial products.
For example, in $ 32 \times 39 $:
```
3 2
× 3 9
-----
2 8 8 ← 32 × 9
9 6 0 ← 32 × 30 (shifted left)
-------
1 2 4 8
```
Use the grid to keep digits aligned correctly!
---
Let me know if you'd like this formatted as a printable answer key or need help filling it into the grid!
---
🔢 Multiplication Method Recap:
To multiply two 2-digit numbers:
1. Multiply the first number by the ones digit of the second.
2. Multiply the first number by the tens digit of the second (shift one place to the left).
3. Add the two results.
We’ll use the grid to organize our work.
---
✔ Let’s solve each problem:
---
#### 1. $ 32 \times 39 $
```
32
× 39
----
288 ← 32 × 9
960 ← 32 × 30 (shifted left)
----
1248
```
✔ Answer: 1248
---
#### 2. $ 75 \times 91 $
```
75
× 91
----
75 ← 75 × 1
6750 ← 75 × 90
----
6825
```
✔ Answer: 6825
---
#### 3. $ 18 \times 41 $
```
18
× 41
----
18 ← 18 × 1
720 ← 18 × 40
----
738
```
✔ Answer: 738
---
#### 4. $ 94 \times 35 $
```
94
× 35
----
470 ← 94 × 5
2820 ← 94 × 30
----
3290
```
✔ Answer: 3290
---
#### 5. $ 40 \times 55 $
```
40
× 55
----
0 ← 40 × 5 = 200 → but write 0 for now?
2000 ← 40 × 50 = 2000
----
2200
```
Wait — better:
Actually:
- $ 40 \times 5 = 200 $
- $ 40 \times 50 = 2000 $
- Total: $ 200 + 2000 = 2200 $
✔ Answer: 2200
---
#### 6. $ 56 \times 41 $
```
56
× 41
----
56 ← 56 × 1
2240 ← 56 × 40
----
2296
```
✔ Answer: 2296
---
#### 7. $ 28 \times 54 $
```
28
× 54
----
112 ← 28 × 4
1400 ← 28 × 50
----
1512
```
✔ Answer: 1512
---
#### 8. $ 75 \times 28 $
```
75
× 28
----
600 ← 75 × 8
1500 ← 75 × 20
----
2100
```
✔ Answer: 2100
---
#### 9. $ 62 \times 84 $
```
62
× 84
----
248 ← 62 × 4
4960 ← 62 × 80
----
5208
```
✔ Answer: 5208
---
#### 10. $ 76 \times 26 $
```
76
× 26
----
456 ← 76 × 6
1520 ← 76 × 20
----
1976
```
✔ Answer: 1976
---
#### 11. $ 34 \times 98 $
```
34
× 98
----
272 ← 34 × 8
3060 ← 34 × 90
----
3332
```
✔ Answer: 3332
---
#### 12. $ 24 \times 99 $
```
24
× 99
----
24 ← 24 × 9
2160 ← 24 × 90
----
2384
```
✔ Answer: 2384
---
#### 13. $ 14 \times 51 $
```
14
× 51
----
14 ← 14 × 1
700 ← 14 × 50
----
714
```
✔ Answer: 714
---
#### 14. $ 33 \times 72 $
```
33
× 72
----
66 ← 33 × 2
2310 ← 33 × 70
----
2376
```
✔ Answer: 2376
---
#### 15. $ 97 \times 74 $
```
97
× 74
----
388 ← 97 × 4
6790 ← 97 × 70
----
7178
```
✔ Answer: 7178
---
#### 16. $ 76 \times 57 $
```
76
× 57
----
532 ← 76 × 7
3800 ← 76 × 50
----
4332
```
✔ Answer: 4332
---
#### 17. $ 84 \times 39 $
```
84
× 39
----
756 ← 84 × 9
2520 ← 84 × 30
----
3276
```
✔ Answer: 3276
---
#### 18. $ 82 \times 11 $
```
82
× 11
----
82 ← 82 × 1
820 ← 82 × 10
----
902
```
✔ Answer: 902
---
#### 19. $ 99 \times 48 $
```
99
× 48
----
792 ← 99 × 8
3960 ← 99 × 40
----
4752
```
✔ Answer: 4752
---
#### 20. $ 15 \times 41 $
```
15
× 41
----
15 ← 15 × 1
600 ← 15 × 40
----
615
```
✔ Answer: 615
---
✔ Final Answers (in order):
| Problem | Answer |
|--------|--------|
| 1. 32 × 39 | 1248 |
| 2. 75 × 91 | 6825 |
| 3. 18 × 41 | 738 |
| 4. 94 × 35 | 3290 |
| 5. 40 × 55 | 2200 |
| 6. 56 × 41 | 2296 |
| 7. 28 × 54 | 1512 |
| 8. 75 × 28 | 2100 |
| 9. 62 × 84 | 5208 |
|10. 76 × 26 | 1976 |
|11. 34 × 98 | 3332 |
|12. 24 × 99 | 2384 |
|13. 14 × 51 | 714 |
|14. 33 × 72 | 2376 |
|15. 97 × 74 | 7178 |
|16. 76 × 57 | 4332 |
|17. 84 × 39 | 3276 |
|18. 82 × 11 | 902 |
|19. 99 × 48 | 4752 |
|20. 15 × 41 | 615 |
---
📝 How to Use the Grid:
Each box in the grid is for a single digit. When multiplying:
- First, multiply by the ones digit → write result below.
- Then, multiply by the tens digit → write result shifted one column left.
- Add the two partial products.
For example, in $ 32 \times 39 $:
```
3 2
× 3 9
-----
2 8 8 ← 32 × 9
9 6 0 ← 32 × 30 (shifted left)
-------
1 2 4 8
```
Use the grid to keep digits aligned correctly!
---
Let me know if you'd like this formatted as a printable answer key or need help filling it into the grid!
Parent Tip: Review the logic above to help your child master the concept of 2 by 2 multiplication worksheet.