Dividing Decimals by 10, 100, and 1000 Worksheets - Free Printable

Let's solve the problem step by step.

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A) Find the quotient.

When dividing decimals by 10, 100, or 1,000, you move the decimal point to the left by the number of zeros in the divisor:

- ÷ 10 → move decimal 1 place left
- ÷ 100 → move decimal 2 places left
- ÷ 1,000 → move decimal 3 places left

Let’s solve each one:

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1) 0.185 ÷ 10
Move decimal 1 place left:
0.185 → 0.0185

2) 25.05 ÷ 100
Move decimal 2 places left:
25.05 → 0.2505

3) 46.8 ÷ 1,000
Move decimal 3 places left:
46.8 → 0.0468

4) 5.81 ÷ 10
Move decimal 1 place left:
5.81 → 0.581

5) 6.7 ÷ 100
Move decimal 2 places left:
6.7 → 0.067

6) 3.6 ÷ 1,000
Move decimal 3 places left:
3.6 → 0.0036

7) 7.94 ÷ 10
Move decimal 1 place left:
7.94 → 0.794

8) 1.6 ÷ 100
Move decimal 2 places left:
1.6 → 0.016

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A) Answers:

1) 0.0185
2) 0.2505
3) 0.0468
4) 0.581
5) 0.067
6) 0.0036
7) 0.794
8) 0.016

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B) Complete the table

We'll apply the same rule for each number:

| Number | ÷ 10 | ÷ 100 | ÷ 1,000 |
|--------|------|-------|---------|
| 20.8 | 2.08 | 0.208 | 0.0208 |
| 12.71 | 1.271| 0.1271| 0.01271 |
| 9.5 | 0.95 | 0.095 | 0.0095 |
| 0.72 | 0.072| 0.0072| 0.00072 |
| 87.6 | 8.76 | 0.876 | 0.0876 |

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Explanation of Table Entries:

- 20.8 ÷ 10 = 2.08 → move decimal 1 left
- 20.8 ÷ 100 = 0.208 → move 2 left
- 20.8 ÷ 1,000 = 0.0208 → move 3 left

Same logic applies to others.

For example:
- 0.72 ÷ 10 = 0.072 (move decimal 1 left)
- 0.72 ÷ 100 = 0.0072 (move 2 left)
- 0.72 ÷ 1,000 = 0.00072 (move 3 left)

Note: When moving the decimal past the whole number part, add zeros as needed.

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✔ Final Answer:

#### A) Quotients:
1) 0.0185
2) 0.2505
3) 0.0468
4) 0.581
5) 0.067
6) 0.0036
7) 0.794
8) 0.016

#### B) Completed Table:

| | ÷ 10 | ÷ 100 | ÷ 1,000 |
|--------|--------|--------|---------|
| 20.8 | 2.08 | 0.208 | 0.0208 |
| 12.71 | 1.271 | 0.1271 | 0.01271 |
| 9.5 | 0.95 | 0.095 | 0.0095 |
| 0.72 | 0.072 | 0.0072 | 0.00072 |
| 87.6 | 8.76 | 0.876 | 0.0876 |

Let me know if you'd like a visual explanation or printable version!