Step-by-step worksheet helping students multiply large numbers by splitting them into their place value components.

Let's solve each problem step by step using partitioning, which means breaking down a number into its place values (thousands, hundreds, tens, ones), multiplying each part by the multiplier, and then adding the results.

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Problem 1: 1422 × 3

We break 1422 into:
- 1000 (thousands)
- 400 (hundreds)
- 20 (tens)
- 2 (ones)

Now multiply each by 3:

- 1000 × 3 = 3000
- 400 × 3 = 1200
- 20 × 3 = 60
- 2 × 3 = 6

Add them:
- 3000 + 1200 = 4200
- 4200 + 60 = 4260
- 4260 + 6 = 4266

✔ Final Answer: 4266

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Problem 2: 1239 × 4

Break 1239 into:
- 1000
- 200
- 30
- 9

Multiply each by 4:

- 1000 × 4 = 4000
- 200 × 4 = 800
- 30 × 4 = 120
- 9 × 4 = 36

Add:
- 4000 + 800 = 4800
- 4800 + 120 = 4920
- 4920 + 36 = 4956

✔ Final Answer: 4956

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Problem 3: 1439 × 4

Break 1439 into:
- 1000
- 400
- 30
- 9

Multiply each by 4:

- 1000 × 4 = 4000
- 400 × 4 = 1600
- 30 × 4 = 120
- 9 × 4 = 36

Add:
- 4000 + 1600 = 5600
- 5600 + 120 = 5720
- 5720 + 36 = 5756

✔ Final Answer: 5756

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Problem 4: 5148 × 4

Break 5148 into:
- 5000
- 100
- 40
- 8

Multiply each by 4:

- 5000 × 4 = 20,000
- 100 × 4 = 400
- 40 × 4 = 160
- 8 × 4 = 32

Add:
- 20,000 + 400 = 20,400
- 20,400 + 160 = 20,560
- 20,560 + 32 = 20,592

✔ Final Answer: 20,592

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✔ Final Answers Filled In:

#### 1)
1422 × 3 = 1000×3 + 400×3 + 20×3 + 2×3
= 3000 + 1200 + 60 + 6
= 4266

#### 2)
1239 × 4 = 1000×4 + 200×4 + 30×4 + 9×4
= 4000 + 800 + 120 + 36
= 4956

#### 3)
1439 × 4 = 1000×4 + 400×4 + 30×4 + 9×4
= 4000 + 1600 + 120 + 36
= 5756

#### 4)
5148 × 4 = 5000×4 + 100×4 + 40×4 + 8×4
= 20,000 + 400 + 160 + 32
= 20,592

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✔ Summary of Answers:

1. 4266
2. 4956
3. 5756
4. 20,592

This method helps understand multiplication by breaking it into simpler parts — great for mental math and learning place value!