Let's solve each of the multiplication problems on the worksheet. The key concept here is
multiplying decimals by 10, 100, and 1000.
🔍 Rule:
When you multiply a decimal by:
-
10, move the decimal point
1 place to the right.
-
100, move the decimal point
2 places to the right.
-
1000, move the decimal point
3 places to the right.
We’ll apply this rule to each problem.
---
✔ Solved Problems:
1.
35.3 × 10 = 353
→ Move decimal 1 place right: 35.3 → 353 ✔️ (already given)
2.
7.23 × 100 = 723
→ Move decimal 2 places right: 7.23 → 723
3.
4.37 × 100 = 437
→ Move decimal 2 places right: 4.37 → 437
4.
4.27 × 100 = 427
→ Move decimal 2 places right: 4.27 → 427
5.
73.3 × 1000 = 73,300
→ Move decimal 3 places right: 73.3 → 73300
6.
18.54 × 10 = 185.4
→ Move decimal 1 place right: 18.54 → 185.4
7.
56.8 × 10 = 568
→ Move decimal 1 place right: 56.8 → 568
8.
6.45 × 100 = 645
→ Move decimal 2 places right: 6.45 → 645
9.
1.3 × 10 = 13
→ Move decimal 1 place right: 1.3 → 13
10.
4.23 × 100 = 423
→ Move decimal 2 places right: 4.23 → 423
11.
93.6 × 100 = 9,360
→ Move decimal 2 places right: 93.6 → 9360
12.
84.2 × 10 = 842
→ Move decimal 1 place right: 84.2 → 842
13.
4.57 × 100 = 457
→ Move decimal 2 places right: 4.57 → 457
14.
3.86 × 1000 = 3,860
→ Move decimal 3 places right: 3.86 → 3860
15.
5.537 × 1000 = 5,537
→ Move decimal 3 places right: 5.537 → 5537
16.
3.64 × 100 = 364
→ Move decimal 2 places right: 3.64 → 364
17.
83.45 × 1000 = 83,450
→ Move decimal 3 places right: 83.45 → 83450
18.
4.82 × 100 = 482
→ Move decimal 2 places right: 4.82 → 482
19.
76.9 × 10 = 769
→ Move decimal 1 place right: 76.9 → 769
20.
31.2 × 100 = 3,120
→ Move decimal 2 places right: 31.2 → 3120
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✔ Final Answer Key:
| Problem | Answer |
|--------|--------|
| 35.3 × 10 | 353 |
| 7.23 × 100 | 723 |
| 4.37 × 100 | 437 |
| 4.27 × 100 | 427 |
| 73.3 × 1000 | 73,300 |
| 18.54 × 10 | 185.4 |
| 56.8 × 10 | 568 |
| 6.45 × 100 | 645 |
| 1.3 × 10 | 13 |
| 4.23 × 100 | 423 |
| 93.6 × 100 | 9,360 |
| 84.2 × 10 | 842 |
| 4.57 × 100 | 457 |
| 3.86 × 1000 | 3,860 |
| 5.537 × 1000 | 5,537 |
| 3.64 × 100 | 364 |
| 83.45 × 1000 | 83,450 |
| 4.82 × 100 | 482 |
| 76.9 × 10 | 769 |
| 31.2 × 100 | 3,120 |
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📝 Explanation:
The trick is
moving the decimal point based on how many zeros are in the multiplier:
- ×10 → 1 zero → move decimal
1 place right
- ×100 → 2 zeros → move decimal
2 places right
- ×1000 → 3 zeros → move decimal
3 places right
If there aren't enough digits, add zeros as placeholders.
This method works because multiplying by powers of 10 shifts the place value of each digit.
Let me know if you'd like this printed or formatted for a student!
Parent Tip: Review the logic above to help your child master the concept of decimal multiplication worksheets.
