Comparing and Ordering Decimals Worksheets - Math Monks - Free Printable

Let's solve each problem on the "Ordering Decimals Worksheet" by comparing the decimals and arranging them from largest to smallest.

We'll go through each row one by one, carefully comparing the numbers.

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①

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

Let’s compare:

- 4.677 → largest (starts with 4)
- 4.17 → next (also starts with 4, but 17 < 677)
- 3.90 → 3.9
- 3.867 → 3.867
- 3.67 → 3.67
- 2.7 → smallest

Now 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 parts:
- 83.9 → largest (whole number 83)
- 8.39 → next (whole number 8)
- 0.839, 0.711, 0.642, 0.2 → all less than 1

Now compare the decimals under 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

Look at whole parts:
- 66.7 → largest (66)
- 6.67, 6.6, 6.02 → all in 6s
- 0.67, 0.067 → less than 1

Now compare the 6.x numbers:
- 6.67 > 6.6 > 6.02

Then:
- 0.67 > 0.067

Full 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

Compare whole parts:
- 738.7 → largest
- 693.7 → next
- 73.8 → then
- 69.3 → next
- 7.38 → then
- 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 parts:
- 99.1 → largest
- 9.9 and 9.1 → both 9s
- 0.99, 0.9, 0.09 → less than 1

Compare 9.9 vs 9.1 → 9.9 > 9.1

Compare decimals:
- 0.99 > 0.9 > 0.09

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 parts:
- 117.7 → largest
- 11.7 → next
- 1.7 → next
- 0.117, 0.017, 0.0017 → all less than 1

Compare decimals:
- 0.117 > 0.017 > 0.0017

So 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 parts:
- 102.9 and 102.7 → both 102
- 10.2 → 10
- 9.2 → 9
- 0.102 and 0.01 → less than 1

Compare 102.9 vs 102.7 → 102.9 > 102.7

Then:
- 10.2 > 9.2

Decimals:
- 0.102 > 0.01

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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🔍 Tips for Ordering Decimals:

- Compare whole number parts first.
- If whole parts are equal, compare tenths, hundredths, thousandths, etc., digit by digit.
- Add trailing zeros if needed to make comparison easier (e.g., 0.2 = 0.200).

Let me know if you'd like a printable version or explanation for any specific step!