Let's solve each problem step by step using
number partitioning (also known as expanded form). The idea is to break down the three-digit number into its hundreds, tens, and ones, then multiply each part by the given multiplier, and finally add the results together.
---
Problem 1: 226 × 2
Break down 226:
- 200 (hundreds)
- 20 (tens)
- 6 (ones)
Now multiply each part by 2:
- 200 × 2 = 400
- 20 × 2 = 40
- 6 × 2 = 12
Add them:
- 400 + 40 + 12 =
452
✔ Final Answer:
452
---
Problem 2: 187 × 3
Break down 187:
- 100
- 80
- 7
Multiply each by 3:
- 100 × 3 = 300
- 80 × 3 = 240
- 7 × 3 = 21
Add:
- 300 + 240 + 21 =
561
✔ Final Answer:
561
---
Problem 3: 118 × 2
Break down 118:
- 100
- 10
- 8
Multiply by 2:
- 100 × 2 = 200
- 10 × 2 = 20
- 8 × 2 = 16
Add:
- 200 + 20 + 16 =
236
✔ Final Answer:
236
---
Problem 4: 162 × 2
Break down 162:
- 100
- 60
- 2
Multiply by 2:
- 100 × 2 = 200
- 60 × 2 = 120
- 2 × 2 = 4
Add:
- 200 + 120 + 4 =
324
✔ Final Answer:
324
---
Problem 5: 119 × 3
Break down 119:
- 100
- 10
- 9
Multiply by 3:
- 100 × 3 = 300
- 10 × 3 = 30
- 9 × 3 = 27
Add:
- 300 + 30 + 27 =
357
✔ Final Answer:
357
---
Problem 6: 148 × 4
Break down 148:
- 100
- 40
- 8
Multiply by 4:
- 100 × 4 = 400
- 40 × 4 = 160
- 8 × 4 = 32
Add:
- 400 + 160 + 32 =
592
✔ Final Answer:
592
---
✔ Summary of Answers:
| Problem | Breakdown | Multiplication Step | Sum | Final Result |
|--------|------------------|----------------------|-----|--------------|
| 1 | 200 + 20 + 6 | 400 + 40 + 12 | |
452 |
| 2 | 100 + 80 + 7 | 300 + 240 + 21 | |
561 |
| 3 | 100 + 10 + 8 | 200 + 20 + 16 | |
236 |
| 4 | 100 + 60 + 2 | 200 + 120 + 4 | |
324 |
| 5 | 100 + 10 + 9 | 300 + 30 + 27 | |
357 |
| 6 | 100 + 40 + 8 | 400 + 160 + 32 | |
592 |
---
📝 How to Fill in the Worksheet:
For example, for
#1 (226 × 2):
```
[200] [20] [6]
× 2 =
[400] + [40] + [12]
= 452
```
Repeat this format for all problems.
Let me know if you'd like a printable version or PDF layout!
Parent Tip: Review the logic above to help your child master the concept of partition worksheet.
