Let’s solve each multiplication problem using
partial products. This means we break the big number into parts (like hundreds, tens, ones), multiply each part by the single digit, then add them all up.
We’ll go one by one.
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Problem 1: 126 × 2
Break 126 into:
→ 100 + 20 + 6
Now multiply each part by 2:
- 100 × 2 = 200
- 20 × 2 = 40
- 6 × 2 = 12
Add them:
200 + 40 = 240
240 + 12 =
252
✔ Final Answer for #1:
252
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Problem 2: 312 × 3
Break 312 into:
→ 300 + 10 + 2
Multiply each by 3:
- 300 × 3 = 900
- 10 × 3 = 30
- 2 × 3 = 6
Add them:
900 + 30 = 930
930 + 6 =
936
✔ Final Answer for #2:
936
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Problem 3: 212 × 4
Break 212 into:
→ 200 + 10 + 2
Multiply each by 4:
- 200 × 4 = 800
- 10 × 4 = 40
- 2 × 4 = 8
Add them:
800 + 40 = 840
840 + 8 =
848
✔ Final Answer for #3:
848
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Problem 4: 1,314 × 3
Break 1,314 into:
→ 1,000 + 300 + 10 + 4
Multiply each by 3:
- 1,000 × 3 = 3,000
- 300 × 3 = 900
- 10 × 3 = 30
- 4 × 3 = 12
Add them step by step:
3,000 + 900 = 3,900
3,900 + 30 = 3,930
3,930 + 12 =
3,942
✔ Final Answer for #4:
3,942
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Problem 5: 2,156 × 2
Break 2,156 into:
→ 2,000 + 100 + 50 + 6
Multiply each by 2:
- 2,000 × 2 = 4,000
- 100 × 2 = 200
- 50 × 2 = 100
- 6 × 2 = 12
Add them:
4,000 + 200 = 4,200
4,200 + 100 = 4,300
4,300 + 12 =
4,312
✔ Final Answer for #5:
4,312
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Problem 6: 4,115 × 4
Break 4,115 into:
→ 4,000 + 100 + 10 + 5
Multiply each by 4:
- 4,000 × 4 = 16,000
- 100 × 4 = 400
- 10 × 4 = 40
- 5 × 4 = 20
Add them:
16,000 + 400 = 16,400
16,400 + 40 = 16,440
16,440 + 20 =
16,460
✔ Final Answer for #6:
16,460
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Final Answer:
1. 252
2. 936
3. 848
4. 3,942
5. 4,312
6. 16,460
Parent Tip: Review the logic above to help your child master the concept of partial product multiplication printable worksheets.
