Math worksheet for practicing 2-digit by 2-digit multiplication using the box method.

Let's solve each problem using the Box Method (also known as the Area Model) for 2-digit by 2-digit multiplication. This method breaks down each number into tens and ones, multiplies each part, and then adds the results.

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🔷 Problem 1: 27 × 33 = 891

✔ Already solved as an example:
- 27 → 20 + 7
- 33 → 30 + 3

| | 20 | 7 |
|-------|----|----|
| 30 | 600 | 210 |
| 3 | 60 | 21 |

Add:
600 + 210 = 810
60 + 21 = 81
Total: 810 + 81 = 891

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🔷 Problem 2: 45 × 27

Break down:
- 45 → 40 + 5
- 27 → 20 + 7

| | 40 | 5 |
|-------|----|----|
| 20 | 800 | 100 |
| 7 | 280 | 35 |

Now calculate:
- 40 × 20 = 800
- 5 × 20 = 100
- 40 × 7 = 280
- 5 × 7 = 35

Add:
800 + 100 = 900
280 + 35 = 315
Total: 900 + 315 = 1215

✔ Answer: 1215

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🔷 Problem 3: 39 × 26

Break down:
- 39 → 30 + 9
- 26 → 20 + 6

| | 30 | 9 |
|-------|----|----|
| 20 | 600 | 180 |
| 6 | 180 | 54 |

Calculate:
- 30 × 20 = 600
- 9 × 20 = 180
- 30 × 6 = 180
- 9 × 6 = 54

Add:
600 + 180 = 780
180 + 54 = 234
Total: 780 + 234 = 1014

✔ Answer: 1014

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🔷 Problem 4: 39 × 18

Break down:
- 39 → 30 + 9
- 18 → 10 + 8

| | 30 | 9 |
|-------|----|----|
| 10 | 300 | 90 |
| 8 | 240 | 72 |

Calculate:
- 30 × 10 = 300
- 9 × 10 = 90
- 30 × 8 = 240
- 9 × 8 = 72

Add:
300 + 90 = 390
240 + 72 = 312
Total: 390 + 312 = 702

✔ Answer: 702

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🔷 Problem 5: 77 × 82

Break down:
- 77 → 70 + 7
- 82 → 80 + 2

| | 70 | 7 |
|-------|----|----|
| 80 | 5600 | 560 |
| 2 | 140 | 14 |

Calculate:
- 70 × 80 = 5600
- 7 × 80 = 560
- 70 × 2 = 140
- 7 × 2 = 14

Add:
5600 + 560 = 6160
140 + 14 = 154
Total: 6160 + 154 = 6314

✔ Answer: 6314

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🔷 Problem 6: 27 × 92

Break down:
- 27 → 20 + 7
- 92 → 90 + 2

| | 20 | 7 |
|-------|----|----|
| 90 | 1800 | 630 |
| 2 | 40 | 14 |

Calculate:
- 20 × 90 = 1800
- 7 × 90 = 630
- 20 × 2 = 40
- 7 × 2 = 14

Add:
1800 + 630 = 2430
40 + 14 = 54
Total: 2430 + 54 = 2484

✔ Answer: 2484

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✔ Final Answers:

1. 27 × 33 = 891
2. 45 × 27 = 1215
3. 39 × 26 = 1014
4. 39 × 18 = 702
5. 77 × 82 = 6314
6. 27 × 92 = 2484

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📌 Summary of Box Method Steps:

1. Break both numbers into tens and ones.
2. Create a box with rows and columns for each part.
3. Multiply each pair of parts.
4. Add all partial products to get the final answer.

Let me know if you'd like this formatted as a filled-in worksheet!