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Grade 6 Math Worksheets: Decimals divided by powers of 10 | Worsheets library... - Free Printable

Grade 6 Math Worksheets: Decimals divided by powers of 10 | Worsheets library...

Educational worksheet: Grade 6 Math Worksheets: Decimals divided by powers of 10 | Worsheets library.... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Grade 6 Math Worksheets: Decimals divided by powers of 10 | Worsheets library...
Let’s solve each problem step by step. When you divide a decimal by a power of 10 (like 10, 100, 1,000, or 10,000), you move the decimal point to the left — one place for every zero in the divisor.

For example:
- Dividing by 10 → move decimal 1 place left
- Dividing by 100 → move decimal 2 places left
- Dividing by 1,000 → move decimal 3 places left
- Dividing by 10,000 → move decimal 4 places left

If there aren’t enough digits, add zeros on the left as needed.

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Let’s go through each problem:

1. 7.303 ÷ 1,000
Move decimal 3 places left:
7.303 → 0.7303 → 0.07303 → 0.007303

2. 3.504 ÷ 10,000
Move decimal 4 places left:
3.504 → 0.3504 → 0.03504 → 0.003504 → 0.0003504

3. 449.8 ÷ 10,000
Move decimal 4 places left:
449.8 → 44.98 → 4.498 → 0.4498 → 0.04498

4. 0.8865 ÷ 10
Move decimal 1 place left:
0.8865 → 0.08865

5. 44.05 ÷ 100
Move decimal 2 places left:
44.05 → 4.405 → 0.4405

6. 649.3 ÷ 10
Move decimal 1 place left:
649.3 → 64.93

7. 0.6432 ÷ 10,000
Move decimal 4 places left:
0.6432 → 0.06432 → 0.006432 → 0.0006432 → 0.00006432

8. 39.44 ÷ 1,000
Move decimal 3 places left:
39.44 → 3.944 → 0.3944 → 0.03944

9. 0.09034 ÷ 100
Move decimal 2 places left:
0.09034 → 0.009034 → 0.0009034

10. 0.00647 ÷ 10,000
Move decimal 4 places left:
0.00647 → 0.000647 → 0.0000647 → 0.00000647 → 0.000000647

11. 471.6 ÷ 10
Move decimal 1 place left:
471.6 → 47.16

12. 0.3517 ÷ 100
Move decimal 2 places left:
0.3517 → 0.03517 → 0.003517

13. 0.523 ÷ 10
Move decimal 1 place left:
0.523 → 0.0523

14. 2.097 ÷ 1,000
Move decimal 3 places left:
2.097 → 0.2097 → 0.02097 → 0.002097

15. 413.5 ÷ 10
Move decimal 1 place left:
413.5 → 41.35

16. 0.6312 ÷ 10
Move decimal 1 place left:
0.6312 → 0.06312

17. 77.79 ÷ 1,000
Move decimal 3 places left:
77.79 → 7.779 → 0.7779 → 0.07779

18. 0.06694 ÷ 10
Move decimal 1 place left:
0.06694 → 0.006694

19. 0.3869 ÷ 1,000
Move decimal 3 places left:
0.3869 → 0.03869 → 0.003869 → 0.0003869

20. 0.03039 ÷ 100
Move decimal 2 places left:
0.03039 → 0.003039 → 0.0003039

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Final Answer:
1. 0.007303
2. 0.0003504
3. 0.04498
4. 0.08865
5. 0.4405
6. 64.93
7. 0.00006432
8. 0.03944
9. 0.0009034
10. 0.000000647
11. 47.16
12. 0.003517
13. 0.0523
14. 0.002097
15. 41.35
16. 0.06312
17. 0.07779
18. 0.006694
19. 0.0003869
20. 0.0003039
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals by powers of 10 worksheet.
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