Comparing and Ordering Decimals Worksheets - Math Monks - Free Printable

Let's solve each problem step by step, ordering the decimals from largest to smallest.

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①

Numbers: 4.677, 3.867, 2.7, 3.67, 3.90, 4.17

Step-by-step comparison:
- Compare whole numbers first:
- 4.677 and 4.17 → both have 4 as whole number
- Compare tenths: 6 vs 1 → 4.677 > 4.17
- 3.90, 3.867, 3.67 → all have 3
- Tenths: 9 > 8 > 6 → so 3.90 > 3.867 > 3.67
- 2.7 is the only one with whole number 2 → smallest among these

Now list in descending order:
- 4.677
- 4.17
- 3.90
- 3.867
- 3.67
- 2.7

✔ Answer:
4.677, 4.17, 3.90, 3.867, 3.67, 2.7

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②

Numbers: 0.839, 0.642, 0.2, 8.39, 83.9, 0.711

Compare whole numbers:
- 83.9 (largest)
- 8.39
- Then the rest are less than 1: 0.839, 0.711, 0.642, 0.2

Order decimals less than 1:
- 0.839 > 0.711 > 0.642 > 0.2

So full order:
- 83.9
- 8.39
- 0.839
- 0.711
- 0.642
- 0.2

✔ Answer:
83.9, 8.39, 0.839, 0.711, 0.642, 0.2

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③

Numbers: 6.6, 6.02, 6.67, 66.7, 0.67, 0.067

Whole numbers:
- 66.7 → largest
- Then 6.67, 6.6, 6.02 → all start with 6
- Then 0.67, 0.067 → less than 1

Compare 6.x:
- 6.67 > 6.6 > 6.02

Then decimals <1:
- 0.67 > 0.067

Final order:
- 66.7
- 6.67
- 6.6
- 6.02
- 0.67
- 0.067

✔ Answer:
66.7, 6.67, 6.6, 6.02, 0.67, 0.067

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④

Numbers: 7.38, 0.738, 73.8, 69.3, 693.7, 738.7

Look at whole numbers:
- 738.7 → largest
- 693.7
- 73.8
- 69.3
- 7.38
- 0.738 → smallest

Order:
- 738.7
- 693.7
- 73.8
- 69.3
- 7.38
- 0.738

✔ Answer:
738.7, 693.7, 73.8, 69.3, 7.38, 0.738

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⑤

Numbers: 0.09, 0.9, 0.99, 9.9, 9.1, 99.1

Whole numbers:
- 99.1 → largest
- 9.9, 9.1 → both 9
- Then 0.99, 0.9, 0.09 → less than 1

Compare 9.x:
- 9.9 > 9.1

Compare decimals <1:
- 0.99 > 0.9 > 0.09

Final order:
- 99.1
- 9.9
- 9.1
- 0.99
- 0.9
- 0.09

✔ Answer:
99.1, 9.9, 9.1, 0.99, 0.9, 0.09

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⑥

Numbers: 11.7, 1.7, 117.7, 0.117, 0.017, 0.0017

Whole numbers:
- 117.7 → largest
- 11.7
- 1.7
- Then 0.117, 0.017, 0.0017 → decreasing

Compare the small decimals:
- 0.117 > 0.017 > 0.0017

Full order:
- 117.7
- 11.7
- 1.7
- 0.117
- 0.017
- 0.0017

✔ Answer:
117.7, 11.7, 1.7, 0.117, 0.017, 0.0017

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⑦

Numbers: 102.9, 10.2, 9.2, 102.7, 0.102, 0.01

Whole numbers:
- 102.9 and 102.7 → both ~102
- 10.2
- 9.2
- 0.102
- 0.01

Compare 102.9 vs 102.7:
- 102.9 > 102.7

Then:
- 10.2 > 9.2
- 0.102 > 0.01

Final order:
- 102.9
- 102.7
- 10.2
- 9.2
- 0.102
- 0.01

✔ Answer:
102.9, 102.7, 10.2, 9.2, 0.102, 0.01

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✔ Final Answers:

1. 4.677, 4.17, 3.90, 3.867, 3.67, 2.7
2. 83.9, 8.39, 0.839, 0.711, 0.642, 0.2
3. 66.7, 6.67, 6.6, 6.02, 0.67, 0.067
4. 738.7, 693.7, 73.8, 69.3, 7.38, 0.738
5. 99.1, 9.9, 9.1, 0.99, 0.9, 0.09
6. 117.7, 11.7, 1.7, 0.117, 0.017, 0.0017
7. 102.9, 102.7, 10.2, 9.2, 0.102, 0.01

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