Math worksheet for practicing division of decimals by powers of ten, including problems like 15.9 ÷ 1,000 and 86.7 ÷ 100, with a penguin illustration.

Let's solve each problem step by step. The key concept here is dividing a decimal by a power of ten (like 10, 100, or 1,000). When you divide by a power of ten, you move the decimal point to the left by the number of zeros in the power of ten.

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

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Let’s go through each problem:

#### Column 1:
1. 15.9 ÷ 1,000
Move decimal 3 places left:
15.9 → 0.0159
✔ 0.0159

2. 15.9 ÷ 100
Move decimal 2 places left:
15.9 → 0.159
✔ 0.159

3. 15.9 ÷ 10
Move decimal 1 place left:
15.9 → 1.59
✔ 1.59

4. 6.4 ÷ 10
Move decimal 1 place left:
6.4 → 0.64
✔ 0.64

5. 6.4 ÷ 100
Move decimal 2 places left:
6.4 → 0.064
✔ 0.064

6. 6.4 ÷ 1,000
Move decimal 3 places left:
6.4 → 0.0064
✔ 0.0064

7. 123.4 ÷ 1,000
Move decimal 3 places left:
123.4 → 0.1234
✔ 0.1234

8. 123.4 ÷ 100
Move decimal 2 places left:
123.4 → 1.234
✔ 1.234

9. 123.4 ÷ 10
Move decimal 1 place left:
123.4 → 12.34
✔ 12.34

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#### Column 2:
1. 86.7 ÷ 1,000
Move decimal 3 places left:
86.7 → 0.0867
✔ 0.0867

2. 86.7 ÷ 100
Move decimal 2 places left:
86.7 → 0.867
✔ 0.867

3. 86.7 ÷ 10
Move decimal 1 place left:
86.7 → 8.67
✔ 8.67

4. 3.8 ÷ 10
Move decimal 1 place left:
3.8 → 0.38
✔ 0.38

5. 3.8 ÷ 100
Move decimal 2 places left:
3.8 → 0.038
✔ 0.038

6. 3.8 ÷ 1,000
Move decimal 3 places left:
3.8 → 0.0038
✔ 0.0038

7. 500.8 ÷ 1,000
Move decimal 3 places left:
500.8 → 0.5008
✔ 0.5008

8. 500.8 ÷ 100
Move decimal 2 places left:
500.8 → 5.008
✔ 5.008

9. 500.8 ÷ 10
Move decimal 1 place left:
500.8 → 50.08
✔ 50.08

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#### Column 3:
1. 35.9 ÷ 10
Move decimal 1 place left:
35.9 → 3.59
✔ 3.59

2. 9.5 ÷ 10
Move decimal 1 place left:
9.5 → 0.95
✔ 0.95

3. 9.5 ÷ 100
Move decimal 2 places left:
9.5 → 0.095
✔ 0.095

4. 9.5 ÷ 1,000
Move decimal 3 places left:
9.5 → 0.0095
✔ 0.0095

5. 999.9 ÷ 1,000
Move decimal 3 places left:
999.9 → 0.9999
✔ 0.9999

6. 999.9 ÷ 100
Move decimal 2 places left:
999.9 → 9.999
✔ 9.999

7. 999.9 ÷ 10
Move decimal 1 place left:
999.9 → 99.99
✔ 99.99

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Final Answer Key:

| Problem | Answer |
|--------|--------|
| 15.9 ÷ 1,000 = | 0.0159 |
| 15.9 ÷ 100 = | 0.159 |
| 15.9 ÷ 10 = | 1.59 |
| 6.4 ÷ 10 = | 0.64 |
| 6.4 ÷ 100 = | 0.064 |
| 6.4 ÷ 1,000 = | 0.0064 |
| 123.4 ÷ 1,000 = | 0.1234 |
| 123.4 ÷ 100 = | 1.234 |
| 123.4 ÷ 10 = | 12.34 |
| 86.7 ÷ 1,000 = | 0.0867 |
| 86.7 ÷ 100 = | 0.867 |
| 86.7 ÷ 10 = | 8.67 |
| 3.8 ÷ 10 = | 0.38 |
| 3.8 ÷ 100 = | 0.038 |
| 3.8 ÷ 1,000 = | 0.0038 |
| 500.8 ÷ 1,000 = | 0.5008 |
| 500.8 ÷ 100 = | 5.008 |
| 500.8 ÷ 10 = | 50.08 |
| 35.9 ÷ 10 = | 3.59 |
| 9.5 ÷ 10 = | 0.95 |
| 9.5 ÷ 100 = | 0.095 |
| 9.5 ÷ 1,000 = | 0.0095 |
| 999.9 ÷ 1,000 = | 0.9999 |
| 999.9 ÷ 100 = | 9.999 |
| 999.9 ÷ 10 = | 99.99 |

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✔ Tip: Always count how many zeros are in the divisor (10, 100, 1000), and move the decimal that many places to the left.

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