Students can use this worksheet to practice breaking down multiplication problems into partial products.

Let's solve each of these partial product multiplication problems step by step. The method involves breaking down one or both numbers into their place values (hundreds, tens, ones), multiplying each part separately, and then adding the partial products.

---

1) 617 × 5

Break 617 into:
- 600 (hundreds)
- 10 (tens)
- 7 (ones)

Now multiply each by 5:

- 600 × 5 = 3,000
- 10 × 5 = 50
- 7 × 5 = 35

Add them:
```
3,000
50
+ 35
-------
3,085
```

✔ Answer: 3,085

---

2) 529 × 8

Break 529 into:
- 500
- 20
- 9

Multiply by 8:

- 500 × 8 = 4,000
- 20 × 8 = 160
- 9 × 8 = 72

Add:
```
4,000
160
+ 72
-------
4,232
```

✔ Answer: 4,232

---

3) 825 × 6

Break 825 into:
- 800
- 20
- 5

Multiply by 6:

- 800 × 6 = 4,800
- 20 × 6 = 120
- 5 × 6 = 30

Add:
```
4,800
120
+ 30
-------
4,950
```

✔ Answer: 4,950

---

4) 137 × 3

Break 137 into:
- 100
- 30
- 7

Multiply by 3:

- 100 × 3 = 300
- 30 × 3 = 90
- 7 × 3 = 21

Add:
```
300
90
+ 21
------
411
```

✔ Answer: 411

---

5) 764 × 4

Break 764 into:
- 700
- 60
- 4

Multiply by 4:

- 700 × 4 = 2,800
- 60 × 4 = 240
- 4 × 4 = 16

Add:
```
2,800
240
+ 16
-------
3,056
```

✔ Answer: 3,056

---

6) 238 × 9

Break 238 into:
- 200
- 30
- 8

Multiply by 9:

- 200 × 9 = 1,800
- 30 × 9 = 270
- 8 × 9 = 72

Add:
```
1,800
270
+ 72
-------
2,142
```

✔ Answer: 2,142

---

7) 231 × 7

Break 231 into:
- 200
- 30
- 1

Multiply by 7:

- 200 × 7 = 1,400
- 30 × 7 = 210
- 1 × 7 = 7

Add:
```
1,400
210
+ 7
-------
1,617
```

✔ Answer: 1,617

---

8) 953 × 8

Break 953 into:
- 900
- 50
- 3

Multiply by 8:

- 900 × 8 = 7,200
- 50 × 8 = 400
- 3 × 8 = 24

Add:
```
7,200
400
+ 24
-------
7,624
```

✔ Answer: 7,624

---

9) 337 × 2

Break 337 into:
- 300
- 30
- 7

Multiply by 2:

- 300 × 2 = 600
- 30 × 2 = 60
- 7 × 2 = 14

Add:
```
600
60
+ 14
------
674
```

✔ Answer: 674

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) 617 × 5 | 3,085 |
| 2) 529 × 8 | 4,232 |
| 3) 825 × 6 | 4,950 |
| 4) 137 × 3 | 411 |
| 5) 764 × 4 | 3,056 |
| 6) 238 × 9 | 2,142 |
| 7) 231 × 7 | 1,617 |
| 8) 953 × 8 | 7,624 |
| 9) 337 × 2 | 674 |

---

📝 How to Fill in the Worksheet:

For each problem, write the partial products in the boxes and add at the bottom.

Example for #1:
```
617
× 5
-----
3000 ← 600 × 5
50 ← 10 × 5
+ 35 ← 7 × 5
------
3085
```

You can do the same for others using the partial products we calculated above.

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