Let’s go through each multiplication problem one by one. We’re multiplying numbers that are powers of 10 (like 10, 100, 1000, 10000) by decimals (like 0.1, 0.01, 0.2, etc.).
Remember:
- Multiplying by 0.1 is the same as dividing by 10 → move decimal point 1 place left.
- Multiplying by 0.01 is the same as dividing by 100 → move decimal point 2 places left.
- Multiplying by 0.2 = multiply by 2 then divide by 10 → or just multiply normally and adjust decimal.
We’ll do each carefully.
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Problem 1:
1,000 × 0.1
→ 1,000 ÷ 10 =
100
Problem 2:
100 × 0.01
→ 100 ÷ 100 =
1
Problem 3:
10 × 0.1
→ 10 ÷ 10 =
1
Problem 4:
10,000 × 0.01
→ 10,000 ÷ 100 =
100
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Problem 5:
100 × 0.2
→ 100 × 2 = 200 → then ÷10 =
20
Problem 6:
1,000 × 0.02
→ 1,000 × 2 = 2,000 → then ÷100 =
20
Problem 7:
10 × 2
→ Just 10 × 2 =
20
Problem 8:
1,000 × 0.2
→ 1,000 × 2 = 2,000 → ÷10 =
200
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Problem 9:
100 × 0.4
→ 100 × 4 = 400 → ÷10 =
40
Problem 10:
1,000 × 0.04
→ 1,000 × 4 = 4,000 → ÷100 =
40
Problem 11:
10,000 × 0.4
→ 10,000 × 4 = 40,000 → ÷10 =
4,000
Problem 12:
10 × 0.4
→ 10 × 4 = 40 → ÷10 =
4
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Problem 13:
10 × 0.8
→ 10 × 8 = 80 → ÷10 =
8
Problem 14:
1,000 × 0.08
→ 1,000 × 8 = 8,000 → ÷100 =
80
Problem 15:
100 × 0.08
→ 100 × 8 = 800 → ÷100 =
8
Problem 16:
10,000 × 0.8
→ 10,000 × 8 = 80,000 → ÷10 =
8,000
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Problem 17:
10 × 0.03
→ 10 × 3 = 30 → ÷100 =
0.3
Problem 18:
10 × 0.3
→ 10 × 3 = 30 → ÷10 =
3
Problem 19:
1,000 × 0.03
→ 1,000 × 3 = 3,000 → ÷100 =
30
Problem 20:
10,000 × 0.03
→ 10,000 × 3 = 30,000 → ÷100 =
300
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All calculations checked. Here are the answers in order:
Final Answer:
1. 100
2. 1
3. 1
4. 100
5. 20
6. 20
7. 20
8. 200
9. 40
10. 40
11. 4,000
12. 4
13. 8
14. 80
15. 8
16. 8,000
17. 0.3
18. 3
19. 30
20. 300
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals by powers of 10 worksheet.
