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Practice decimal division with this worksheet featuring problems that involve dividing by powers of ten like 0.1, 10, and 100.

Math worksheet titled Dividing Decimals by Powers of Ten featuring 16 division problems for practice.

Math worksheet titled Dividing Decimals by Powers of Ten featuring 16 division problems for practice.

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Show Answer Key & Explanations Step-by-step solution for: Dividing Decimals by Powers of Ten Worksheets
Let’s solve each problem step by step. Remember: when you divide a decimal by a power of ten (like 0.1, 0.01, 10, 100, etc.), you’re really moving the decimal point.

- Dividing by 0.1 = multiply by 10 → move decimal right 1 place
- Dividing by 0.01 = multiply by 100 → move decimal right 2 places
- Dividing by 0.001 = multiply by 1000 → move decimal right 3 places
- Dividing by 10 = move decimal left 1 place
- Dividing by 100 = move decimal left 2 places
- Dividing by 1,000 = move decimal left 3 places

Now let’s go one by one:

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1) 883.9 ÷ 0.1
→ Move decimal right 1 place → 8839.0 → 8839

2) 9.8 ÷ 0.01
→ Move decimal right 2 places → 980.0 → 980

3) 2.1 ÷ 0.001
→ Move decimal right 3 places → 2100.0 → 2100

4) 1.38 ÷ 0.1
→ Move decimal right 1 place → 13.8 → 13.8

5) 6.19 ÷ 100
→ Move decimal left 2 places → 0.0619 → 0.0619

6) 462.7 ÷ 0.001
→ Move decimal right 3 places → 462700.0 → 462700

7) 30.01 ÷ 0.01
→ Move decimal right 2 places → 3001.0 → 3001

8) 7.5 ÷ 0.1
→ Move decimal right 1 place → 75.0 → 75

9) 6.05 ÷ 1,000
→ Move decimal left 3 places → 0.00605 → 0.00605

10) 36.46 ÷ 0.01
→ Move decimal right 2 places → 3646.0 → 3646

11) 10.3 ÷ 0.1
→ Move decimal right 1 place → 103.0 → 103

12) 18.2 ÷ 0.001
→ Move decimal right 3 places → 18200.0 → 18200

13) 594.2 ÷ 100
→ Move decimal left 2 places → 5.942 → 5.942

14) 0.7 ÷ 10
→ Move decimal left 1 place → 0.07 → 0.07

15) 11.4 ÷ 10
→ Move decimal left 1 place → 1.14 → 1.14

16) 10.3 ÷ 1,000
→ Move decimal left 3 places → 0.0103 → 0.0103

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Final Answer:
1) 8839
2) 980
3) 2100
4) 13.8
5) 0.0619
6) 462700
7) 3001
8) 75
9) 0.00605
10) 3646
11) 103
12) 18200
13) 5.942
14) 0.07
15) 1.14
16) 0.0103
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing by powers of 10 worksheet.
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