Comparing and Ordering Decimals Worksheets - Math Monks - Free Printable

Let’s go through each problem one by one. We need to order the decimals from largest to smallest.

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Problem ①: 4.677, 3.867, 2.7, 3.67, 3.90, 4.17

Look at the whole number part first:
- 4.677 and 4.17 → both start with 4
- 3.867, 3.67, 3.90 → all start with 3
- 2.7 → starts with 2 (smallest)

Now compare within groups:

For 4.xxxx:
- 4.677 vs 4.17 → 4.677 is bigger

For 3.xxxx:
- 3.90 > 3.867 > 3.67

So full order:
4.677, 4.17, 3.90, 3.867, 3.67, 2.7

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Problem ②: 0.839, 0.642, 0.2, 8.39, 83.9, 0.711

Whole numbers:
- 83.9 → biggest
- 8.39 → next
- Then all less than 1: 0.839, 0.711, 0.642, 0.2

Order of small ones:
0.839 > 0.711 > 0.642 > 0.2

Full order:
83.9, 8.39, 0.839, 0.711, 0.642, 0.2

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Problem ③: 6.6, 6.02, 6.67, 66.7, 0.67, 0.067

Biggest whole number: 66.7

Then 6.xxxx group: 6.67, 6.6, 6.02

Compare:
6.67 > 6.6 > 6.02

Then 0.67 and 0.067 → 0.67 > 0.067

Full order:
66.7, 6.67, 6.6, 6.02, 0.67, 0.067

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Problem ④: 7.38, 0.738, 73.8, 69.3, 693.7, 738.7

Look at whole numbers:

738.7 → biggest
693.7 → next
73.8 → next
69.3 → next
7.38 → next
0.738 → smallest

Full order:
738.7, 693.7, 73.8, 69.3, 7.38, 0.738

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Problem ⑤: 0.09, 0.9, 0.99, 9.9, 9.1, 99.1

Biggest: 99.1
Then 9.9 and 9.1 → 9.9 > 9.1
Then 0.99, 0.9, 0.09 → 0.99 > 0.9 > 0.09

Full order:
99.1, 9.9, 9.1, 0.99, 0.9, 0.09

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Problem ⑥: 11.7, 1.7, 117.7, 0.117, 0.017, 0.0017

Biggest: 117.7
Then 11.7
Then 1.7
Then 0.117, 0.017, 0.0017 → decreasing

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

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Problem ⑦: 102.9, 10.2, 9.2, 102.7, 0.102, 0.01

Biggest: 102.9 and 102.7 → 102.9 > 102.7
Then 10.2
Then 9.2
Then 0.102
Then 0.01

Full order:
102.9, 102.7, 10.2, 9.2, 0.102, 0.01

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Final Answer:

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