Partial product multiplication practice worksheet with nine problems for students to solve.

I'll solve the partial product multiplication problems shown in the image. Let me work through each one step by step.

First, let me understand what partial product multiplication is: it's a method where we break down numbers into their place values (hundreds, tens, ones) and multiply each part separately before adding them together.

Let me solve each problem:

1) 617 × 5
- Break down 617: 600 + 10 + 7
- Multiply each part by 5: 600×5 = 3000, 10×5 = 50, 7×5 = 35
- Add them: 3000 + 50 + 35 = 3085

2) 529 × 8
- Break down 529: 500 + 20 + 9
- Multiply each part by 8: 500×8 = 4000, 20×8 = 160, 9×8 = 72
- Add them: 4000 + 160 + 72 = 4232

3) 825 × 6
- Break down 825: 800 + 20 + 5
- Multiply each part by 6: 800×6 = 4800, 20×6 = 120, 5×6 = 30
- Add them: 4800 + 120 + 30 = 4950

4) 137 × 3
- Break down 137: 100 + 30 + 7
- Multiply each part by 3: 100×3 = 300, 30×3 = 90, 7×3 = 21
- Add them: 300 + 90 + 21 = 411

5) 764 × 4
- Break down 764: 700 + 60 + 4
- Multiply each part by 4: 700×4 = 2800, 60×4 = 240, 4×4 = 16
- Add them: 2800 + 240 + 16 = 3056

6) 238 × 9
- Break down 238: 200 + 30 + 8
- Multiply each part by 9: 200×9 = 1800, 30×9 = 270, 8×9 = 72
- Add them: 1800 + 270 + 72 = 2142

7) 231 × 7
- Break down 231: 200 + 30 + 1
- Multiply each part by 7: 200×7 = 1400, 30×7 = 210, 1×7 = 7
- Add them: 1400 + 210 + 7 = 1617

8) 953 × 8
- Break down 953: 900 + 50 + 3
- Multiply each part by 8: 900×8 = 7200, 50×8 = 400, 3×8 = 24
- Add them: 7200 + 400 + 24 = 7624

9) 337 × 2
- Break down 337: 300 + 30 + 7
- Multiply each part by 2: 300×2 = 600, 30×2 = 60, 7×2 = 14
- Add them: 600 + 60 + 14 = 674

The solutions to all nine problems are:
1) 3085
2) 4232
3) 4950
4) 411
5) 3056
6) 2142
7) 1617
8) 7624
9) 674