2-digit multiplication practice using the box method.

Let’s solve each multiplication problem using the Box Method (also called the Area Model). This method breaks numbers into tens and ones, multiplies them in parts, then adds up the results.

We’ll go one by one.

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1. 36 × 25

Break 36 into 30 + 6
Break 25 into 20 + 5

Make a box with 2 rows and 2 columns:

| | 30 | 6 |
|-------|------|------|
| 20| 600 | 120 |
| 5 | 150 | 30 |

Now multiply:
- 20 × 30 = 600
- 20 × 6 = 120
- 5 × 30 = 150
- 5 × 6 = 30

Add them all:
600 + 120 = 720
720 + 150 = 870
870 + 30 = 900

✔ So, 36 × 25 = 900

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2. 42 × 31

Break 42 into 40 + 2
Break 31 into 30 + 1

Box:

| | 40 | 2 |
|-------|------|------|
| 30| 1200 | 60 |
| 1 | 40 | 2 |

Multiply:
- 30 × 40 = 1200
- 30 × 2 = 60
- 1 × 40 = 40
- 1 × 2 = 2

Add:
1200 + 60 = 1260
1260 + 40 = 1300
1300 + 2 = 1302

✔ So, 42 × 31 = 1302

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3. 49 × 28

Break 49 into 40 + 9
Break 28 into 20 + 8

Box:

| | 40 | 9 |
|-------|------|------|
| 20| 800 | 180 |
| 8 | 320 | 72 |

Multiply:
- 20 × 40 = 800
- 20 × 9 = 180
- 8 × 40 = 320
- 8 × 9 = 72

Add:
800 + 180 = 980
980 + 320 = 1300
1300 + 72 = 1372

✔ So, 49 × 28 = 1372

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4. 36 × 33

Break 36 into 30 + 6
Break 33 into 30 + 3

Box:

| | 30 | 6 |
|-------|------|------|
| 30| 900 | 180 |
| 3 | 90 | 18 |

Multiply:
- 30 × 30 = 900
- 30 × 6 = 180
- 3 × 30 = 90
- 3 × 6 = 18

Add:
900 + 180 = 1080
1080 + 90 = 1170
1170 + 18 = 1188

✔ So, 36 × 33 = 1188

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5. 45 × 18

Break 45 into 40 + 5
Break 18 into 10 + 8

Box:

| | 40 | 5 |
|-------|------|------|
| 10| 400 | 50 |
| 8 | 320 | 40 |

Multiply:
- 10 × 40 = 400
- 10 × 5 = 50
- 8 × 40 = 320
- 8 × 5 = 40

Add:
400 + 50 = 450
450 + 320 = 770
770 + 40 = 810

✔ So, 45 × 18 = 810

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Final Answer:
36 × 25 = 900
42 × 31 = 1302
49 × 28 = 1372
36 × 33 = 1188
45 × 18 = 810