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)

#### Row 1:
Decimals:
7.1, 5.3, 7.0, 7.9, 7.6

Step-by-step comparison:
- Compare whole numbers first:
- 5.3 is the smallest (whole number = 5)
- Then 7.0, 7.1, 7.6, 7.9 (all have whole number 7)

Now compare tenths:
- 7.0 < 7.1 < 7.6 < 7.9

So, ascending order:
5.3, 7.0, 7.1, 7.6, 7.9

#### Row 2:
Decimals:
2.9, 0.7, 1.9, 0.2, 1.7

Compare whole numbers:
- 0.2 and 0.7 → both less than 1
- 1.7 and 1.9 → between 1 and 2
- 2.9 → largest

Order:
- 0.2 < 0.7 < 1.7 < 1.9 < 2.9

So, ascending order:
0.2, 0.7, 1.7, 1.9, 2.9

#### Row 3:
Decimals:
6.19, 5.39, 5.15, 6.35, 6.36

Compare whole numbers:
- 5.15 and 5.39 → smaller group
- 6.19, 6.35, 6.36 → larger group

Now within each group:

- 5.15 < 5.39
- 6.19 < 6.35 < 6.36

So full order:
5.15, 5.39, 6.19, 6.35, 6.36

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

#### Row 1:
Decimals:
1.17, 3.36, 2.30, 1.15, 1.31

Compare whole numbers:
- 3.36 → largest
- 2.30 → next
- 1.17, 1.15, 1.31 → all start with 1

Now compare tenths and hundredths:
- Among 1.x: 1.31 > 1.17 > 1.15

So descending order:
3.36, 2.30, 1.31, 1.17, 1.15

#### Row 2:
Decimals:
2.13, 1.8, 1.53, 1.07, 2.09

Whole numbers:
- 2.13 and 2.09 → higher
- 1.8, 1.53, 1.07 → lower

Compare 2.13 vs 2.09:
- 2.13 > 2.09

Now 1.8 vs 1.53 vs 1.07:
- 1.8 > 1.53 > 1.07

So descending:
2.13, 2.09, 1.8, 1.53, 1.07

#### Row 3:
Decimals:
0.15, 1.37, 2.08, 1.73, 2.80

Whole numbers:
- 2.80 and 2.08 → highest
- 1.73 and 1.37 → middle
- 0.15 → lowest

Compare:
- 2.80 > 2.08
- 1.73 > 1.37
- 0.15 is smallest

So descending:
2.80, 2.08, 1.73, 1.37, 0.15

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✔ Final Answer:

#### Ascending Order:

1. 7.1, 5.3, 7.0, 7.9, 7.6 → 5.3, 7.0, 7.1, 7.6, 7.9
2. 2.9, 0.7, 1.9, 0.2, 1.7 → 0.2, 0.7, 1.7, 1.9, 2.9
3. 6.19, 5.39, 5.15, 6.35, 6.36 → 5.15, 5.39, 6.19, 6.35, 6.36

#### Descending Order:

1. 1.17, 3.36, 2.30, 1.15, 1.31 → 3.36, 2.30, 1.31, 1.17, 1.15
2. 2.13, 1.8, 1.53, 1.07, 2.09 → 2.13, 2.09, 1.8, 1.53, 1.07
3. 0.15, 1.37, 2.08, 1.73, 2.80 → 2.80, 2.08, 1.73, 1.37, 0.15

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📝 Explanation:

To order decimals:
1. Compare whole number parts first.
2. If whole parts are equal, compare tenths, then hundredths, etc.
3. For ascending: go from smallest to largest.
4. For descending: go from largest to smallest.

Always align decimals properly when comparing — imagine adding zeros to make them same length (e.g., 1.7 = 1.70).

This method ensures accurate ordering even with decimals of different lengths.

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