Ordering Decimals - Worksheet Digital - Free Printable

Let's solve the worksheet step by step.

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Part 1: Arrange the decimals in ascending order (smallest to largest)

We'll go row by row and sort each set of five decimals from smallest to largest.

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#### Row 1:
Numbers:
5.7, 2.78, 0.26, 1.8, 9.23

Step-by-step comparison:
- 0.26 is the smallest
- Next is 1.8
- Then 2.78
- Then 5.7
- Largest is 9.23

✔ Ascending order:
0.26, 1.8, 2.78, 5.7, 9.23

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#### Row 2:
Numbers:
2.09, 0.1, 3.45, 2.89, 3.5

Compare:
- 0.1 is smallest
- 2.09
- 2.89
- 3.45
- 3.5

✔ Ascending order:
0.1, 2.09, 2.89, 3.45, 3.5

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#### Row 3:
Numbers:
7.15, 0.76, 0.01, 2.8, 10.5

Compare:
- 0.01 (smallest)
- 0.76
- 2.8
- 7.15
- 10.5 (largest)

✔ Ascending order:
0.01, 0.76, 2.8, 7.15, 10.5

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Part 2: Arrange the decimals in descending order (largest to smallest)

Now we do the same but reverse the order.

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#### Row 1:
Numbers:
2.94, 0.94, 3.24, 11.7, 9.6

Compare:
- 11.7 (largest)
- 9.6
- 3.24
- 2.94
- 0.94 (smallest)

✔ Descending order:
11.7, 9.6, 3.24, 2.94, 0.94

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#### Row 2:
Numbers:
0.57, 2.89, 5.4, 2.09, 4.07

Compare:
- 5.4 (largest)
- 4.07
- 2.89
- 2.09
- 0.57 (smallest)

✔ Descending order:
5.4, 4.07, 2.89, 2.09, 0.57

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#### Row 3:
Numbers:
3.78, 0.8, 4.09, 2.56, 0.76

Compare:
- 4.09 (largest)
- 3.78
- 2.56
- 0.8
- 0.76 (smallest)

✔ Descending order:
4.09, 3.78, 2.56, 0.8, 0.76

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✔ Final Answer:

#### Ascending Order:

1. 0.26, 1.8, 2.78, 5.7, 9.23
2. 0.1, 2.09, 2.89, 3.45, 3.5
3. 0.01, 0.76, 2.8, 7.15, 10.5

#### Descending Order:

1. 11.7, 9.6, 3.24, 2.94, 0.94
2. 5.4, 4.07, 2.89, 2.09, 0.57
3. 4.09, 3.78, 2.56, 0.8, 0.76

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🔍 Explanation:

To compare decimals:
- Start with the whole number part.
- If whole parts are equal, compare tenths, then hundredths, etc.
- Use place value: e.g., 0.76 vs 0.8 → 0.8 = 0.80 > 0.76

For example:
- 2.89 vs 2.09 → both have 2, but 8 tenths > 0 tenths → 2.89 > 2.09
- 0.01 < 0.1 because 0.01 = 0.010, 0.1 = 0.100 → 0.010 < 0.100

This method ensures accurate ordering.

Let me know if you'd like this formatted as a printable answer sheet!