Let's solve each of these multiplication problems using the
grid method (also known as the
box method) for long multiplication. This method breaks down each number into tens and units, multiplies them in a grid, and then adds up the partial products.
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🔷 How the Grid Method Works:
1. Split each number into tens and units.
2. Multiply each part of one number by each part of the other.
3. Add all the results together.
We'll go through each problem step by step.
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1) 52 × 24
Break down:
- 52 = 50 + 2
- 24 = 20 + 4
| × | 50 | 2 |
|---|----|---|
| 20 | 1000 | 40 |
| 4 | 200 | 8 |
Now add:
- 1000 + 40 + 200 + 8 =
1248
✔ Answer: 1248
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2) 35 × 56
Break down:
- 35 = 30 + 5
- 56 = 50 + 6
| × | 30 | 5 |
|---|----|---|
| 50 | 1500 | 250 |
| 6 | 180 | 30 |
Add:
- 1500 + 250 + 180 + 30 =
1960
✔ Answer: 1960
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3) 36 × 71
Break down:
- 36 = 30 + 6
- 71 = 70 + 1
| × | 30 | 6 |
|---|----|---|
| 70 | 2100 | 420 |
| 1 | 30 | 6 |
Add:
- 2100 + 420 + 30 + 6 =
2556
✔ Answer: 2556
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4) 96 × 42
Break down:
- 96 = 90 + 6
- 42 = 40 + 2
| × | 90 | 6 |
|---|----|---|
| 40 | 3600 | 240 |
| 2 | 180 | 12 |
Add:
- 3600 + 240 + 180 + 12 =
4032
✔ Answer: 4032
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5) 84 × 59
Break down:
- 84 = 80 + 4
- 59 = 50 + 9
| × | 80 | 4 |
|---|----|---|
| 50 | 4000 | 200 |
| 9 | 720 | 36 |
Add:
- 4000 + 200 + 720 + 36 =
4956
✔ Answer: 4956
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6) 25 × 88
Break down:
- 25 = 20 + 5
- 88 = 80 + 8
| × | 20 | 5 |
|---|----|---|
| 80 | 1600 | 400 |
| 8 | 160 | 40 |
Add:
- 1600 + 400 + 160 + 40 =
2200
✔ Answer: 2200
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7) 82 × 59
Break down:
- 82 = 80 + 2
- 59 = 50 + 9
| × | 80 | 2 |
|---|----|---|
| 50 | 4000 | 100 |
| 9 | 720 | 18 |
Add:
- 4000 + 100 + 720 + 18 =
4838
✔ Answer: 4838
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8) 74 × 98
Break down:
- 74 = 70 + 4
- 98 = 90 + 8
| × | 70 | 4 |
|---|----|---|
| 90 | 6300 | 360 |
| 8 | 560 | 32 |
Add:
- 6300 + 360 + 560 + 32 =
7252
✔ Answer: 7252
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9) 92 × 19
Break down:
- 92 = 90 + 2
- 19 = 10 + 9
| × | 90 | 2 |
|---|----|---|
| 10 | 900 | 20 |
| 9 | 810 | 18 |
Add:
- 900 + 20 + 810 + 18 =
1748
✔ Answer: 1748
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✔ Final Answers:
1) 52 × 24 =
1248
2) 35 × 56 =
1960
3) 36 × 71 =
2556
4) 96 × 42 =
4032
5) 84 × 59 =
4956
6) 25 × 88 =
2200
7) 82 × 59 =
4838
8) 74 × 98 =
7252
9) 92 × 19 =
1748
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📝 Summary:
The
grid method is helpful because it visually organizes multiplication into smaller, manageable parts. It reduces errors by breaking numbers down and clearly showing how each digit contributes to the final product.
Let me know if you'd like this printed or formatted for a worksheet!
Parent Tip: Review the logic above to help your child master the concept of grid multiplication worksheet.
