3-digit multiplication practice using the box method with examples and grids.

Let's solve each of the multiplication problems using the box method (also known as the grid method), which is a way to break down multiplication into smaller, more manageable parts.

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🔷 Box Method Overview

To multiply two numbers:
1. Break each number into its place values (hundreds, tens, units).
2. Create a grid with rows and columns for each part.
3. Multiply each part and fill in the boxes.
4. Add all the partial products to get the final answer.

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We’ll go through each problem one by one.

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✔ Problem 1: 218 × 44 = 9592 *(Already solved)*

This is given as an example. Let’s verify it:

- Break 218 → 200 + 10 + 8
- Break 44 → 40 + 4

| | 200 | 10 | 8 |
|-------|-----|-----|-----|
| 40 | 8000 | 400 | 320 |
| 4 | 800 | 40 | 32 |

Now add:
- 8000 + 400 + 320 = 8720
- 800 + 40 + 32 = 872
- Total: 8720 + 872 = 9592 ✔

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🟨 Problem 2: 121 × 88

Break:
- 121 → 100 + 20 + 1
- 88 → 80 + 8

Create a 3×2 grid:

| | 100 | 20 | 1 |
|-------|-----|-----|-----|
| 80 | 8000 | 1600 | 80 |
| 8 | 800 | 160 | 8 |

Now calculate each box:
- 100 × 80 = 8000
- 20 × 80 = 1600
- 1 × 80 = 80
- 100 × 8 = 800
- 20 × 8 = 160
- 1 × 8 = 8

Add all:
- 8000 + 1600 = 9600
- 9600 + 80 = 9680
- 9680 + 800 = 10480
- 10480 + 160 = 10640
- 10640 + 8 = 10648

✔ Answer: 10648

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🟦 Problem 3: 195 × 46

Break:
- 195 → 100 + 90 + 5
- 46 → 40 + 6

Grid:

| | 100 | 90 | 5 |
|-------|-----|-----|-----|
| 40 | 4000 | 3600 | 200 |
| 6 | 600 | 540 | 30 |

Calculate:
- 100 × 40 = 4000
- 90 × 40 = 3600
- 5 × 40 = 200
- 100 × 6 = 600
- 90 × 6 = 540
- 5 × 6 = 30

Add:
- 4000 + 3600 = 7600
- 7600 + 200 = 7800
- 7800 + 600 = 8400
- 8400 + 540 = 8940
- 8940 + 30 = 8970

✔ Answer: 8970

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🟩 Problem 4: 260 × 98

Break:
- 260 → 200 + 60 + 0 → but we can simplify: 200 + 60
- 98 → 90 + 8

Grid:

| | 200 | 60 | 0 |
|-------|-----|-----|-----|
| 90 | 18000 | 5400 | 0 |
| 8 | 1600 | 480 | 0 |

But since 0 doesn’t contribute, we can just use:

| | 200 | 60 |
|-------|-----|-----|
| 90 | 18000 | 5400 |
| 8 | 1600 | 480 |

Now add:
- 18000 + 5400 = 23400
- 1600 + 480 = 2080
- Total: 23400 + 2080 = 25480

✔ Answer: 25480

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🟪 Problem 5: 218 × 34

Break:
- 218 → 200 + 10 + 8
- 34 → 30 + 4

Grid:

| | 200 | 10 | 8 |
|-------|-----|-----|-----|
| 30 | 6000 | 300 | 240 |
| 4 | 800 | 40 | 32 |

Calculate:
- 200 × 30 = 6000
- 10 × 30 = 300
- 8 × 30 = 240
- 200 × 4 = 800
- 10 × 4 = 40
- 8 × 4 = 32

Add:
- 6000 + 300 = 6300
- 6300 + 240 = 6540
- 6540 + 800 = 7340
- 7340 + 40 = 7380
- 7380 + 32 = 7412

✔ Answer: 7412

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🟫 Problem 6: 197 × 53

Break:
- 197 → 100 + 90 + 7
- 53 → 50 + 3

Grid:

| | 100 | 90 | 7 |
|-------|-----|-----|-----|
| 50 | 5000 | 4500 | 350 |
| 3 | 300 | 270 | 21 |

Calculate:
- 100 × 50 = 5000
- 90 × 50 = 4500
- 7 × 50 = 350
- 100 × 3 = 300
- 90 × 3 = 270
- 7 × 3 = 21

Add:
- 5000 + 4500 = 9500
- 9500 + 350 = 9850
- 9850 + 300 = 10150
- 10150 + 270 = 10420
- 10420 + 21 = 10441

✔ Answer: 10441

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✔ Final Answers:

| Problem | Answer |
|----------------|------------|
| 121 × 88 | 10648 |
| 195 × 46 | 8970 |
| 260 × 98 | 25480 |
| 218 × 34 | 7412 |
| 197 × 53 | 10441 |

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You can now fill these answers into the worksheet!

Let me know if you'd like a printable version or a visual grid layout!