Comparing and Ordering Decimals (Worksheets) - Free Printable

Let’s go through each part step by step. We’re ordering decimals from least to greatest — that means smallest number first, then bigger ones.

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Part a:

Numbers: 4.5, 4.05, 5.4, 5.45, 5

First, look at the whole number part (before the decimal):

- 4.5 → 4
- 4.05 → 4
- 5.4 → 5
- 5.45 → 5
- 5 → 5

So the two numbers starting with 4 are smaller than the three starting with 5.

Now compare 4.5 and 4.05:

Think of them as money:
4.5 = $4.50
4.05 = $4.05
→ 4.05 is less than 4.5

Now the 5s: 5, 5.4, 5.45

5 = 5.00
5.4 = 5.40
5.45 = 5.45

So order: 5.00 < 5.40 < 5.45 → so 5, then 5.4, then 5.45

Full order for part a:
4.05, 4.5, 5, 5.4, 5.45

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Part b:

Numbers: 3.2, 3, 2.03, 2.02, 2.23

Whole numbers:

- 3.2 → 3
- 3 → 3
- 2.03 → 2
- 2.02 → 2
- 2.23 → 2

So the 2s come before the 3s.

Compare the 2s: 2.02, 2.03, 2.23

Look at tenths place (first digit after decimal):

- 2.02 → 0
- 2.03 → 0
- 2.23 → 2 → this is biggest among the 2s

Now between 2.02 and 2.03 → hundredths place: 2 vs 3 → 2.02 < 2.03

Then the 3s: 3 and 3.2 → 3 = 3.0, so 3.0 < 3.2

Full order for part b:
2.02, 2.03, 2.23, 3, 3.2

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Part c:

Numbers: 0.1, 0, 1.01, 1, 0.01

Whole numbers:

- 0.1 → 0
- 0 → 0
- 1.01 → 1
- 1 → 1
- 0.01 → 0

So zeros come first: 0, 0.01, 0.1

Compare them:

0 = 0.00
0.01 = 0.01
0.1 = 0.10

So: 0.00 < 0.01 < 0.10 → 0, 0.01, 0.1

Then the 1s: 1 and 1.01 → 1 = 1.00, so 1.00 < 1.01

Full order for part c:
0, 0.01, 0.1, 1, 1.01

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Part d:

Numbers: 9.08, 8.98, 98.1, 9.8, 9.88

Whole numbers:

- 9.08 → 9
- 8.98 → 8 ← smallest!
- 98.1 → 98 ← way bigger!
- 9.8 → 9
- 9.88 → 9

So 8.98 is first.

Then the 9s: 9.08, 9.8, 9.88

Compare:

9.08 = 9.08
9.8 = 9.80
9.88 = 9.88

So: 9.08 < 9.80 < 9.88 → 9.08, 9.8, 9.88

Then 98.1 is last.

Full order for part d:
8.98, 9.08, 9.8, 9.88, 98.1

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Final Answer:

a. 4.05, 4.5, 5, 5.4, 5.45
b. 2.02, 2.03, 2.23, 3, 3.2
c. 0, 0.01, 0.1, 1, 1.01
d. 8.98, 9.08, 9.8, 9.88, 98.1