Ordering Decimals worksheet with problems for arranging numbers in increasing and decreasing order.

Let’s solve each part step by step.

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Part 1: Arrange in increasing order (smallest to largest)

a. 3.049, 3.059, 3.05, 3.04

Look at the whole number first — all are 3, so move to tenths place:
- All have 0 in tenths → move to hundredths:
- 3.04 → 4 in hundredths
- 3.049 → 4 in hundredths
- 3.05 → 5 in hundredths
- 3.059 → 5 in hundredths

So group them:

Group with 4 in hundredths: 3.04 and 3.049
→ Compare thousandths: 3.04 = 3.040 vs 3.049 → 3.04 < 3.049

Group with 5 in hundredths: 3.05 and 3.059
→ 3.05 = 3.050 vs 3.059 → 3.05 < 3.059

Now put all together:
3.04 < 3.049 < 3.05 < 3.059

✔ Final for a: 3.04, 3.049, 3.05, 3.059

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b. 182.205, 182.05, 182.105, 182.025

Whole numbers same → look at tenths:

- 182.05 → 0 in tenths
- 182.025 → 0 in tenths
- 182.105 → 1 in tenths
- 182.205 → 2 in tenths

So smallest tenths: 0 → then 1 → then 2

Within 0 tenths: compare hundredths:
- 182.05 → 5 in hundredths
- 182.025 → 2 in hundredths → so 182.025 < 182.05

Then 182.105 (tenths=1), then 182.205 (tenths=2)

Order:
182.025 < 182.05 < 182.105 < 182.205

✔ Final for b: 182.025, 182.05, 182.105, 182.205

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c. 8.08, 8.081, 8.09, 8.008

Whole number same → tenths: all 0 → go to hundredths:

- 8.008 → 0 in hundredths
- 8.08 → 8 in hundredths
- 8.081 → 8 in hundredths
- 8.09 → 9 in hundredths

So 8.008 is smallest.

Now between 8.08 and 8.081 → both have 8 in hundredths → check thousandths:
- 8.08 = 8.080 → 0 in thousandths
- 8.081 → 1 in thousandths → so 8.08 < 8.081

Then 8.09

Order:
8.008 < 8.08 < 8.081 < 8.09

✔ Final for c: 8.008, 8.08, 8.081, 8.09

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Part 2: Arrange in decreasing order (largest to smallest)

a. 7.608, 7.68, 7.6, 7.068

Whole number same → tenths:

- 7.608 → 6
- 7.68 → 6
- 7.6 → 6
- 7.068 → 0 → this is smallest

So 7.068 goes last.

Now among 7.608, 7.68, 7.6 → all have 6 in tenths → check hundredths:

- 7.6 = 7.600 → 0 in hundredths
- 7.608 → 0 in hundredths
- 7.68 → 8 in hundredths → biggest so far

Between 7.6 and 7.608 → both 0 in hundredths → check thousandths:
- 7.6 = 7.600 → 0
- 7.608 → 8 → so 7.608 > 7.6

So order from largest to smallest:

7.68 > 7.608 > 7.6 > 7.068

✔ Final for a: 7.68, 7.608, 7.6, 7.068

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b. 439.216, 439.126, 439.612, 439.261

Whole number same → tenths:

- 439.612 → 6 → largest
- 439.216 → 2
- 439.261 → 2
- 439.126 → 1 → smallest

So 439.612 first, then 439.126 last.

Now between 439.216 and 439.261 → both tenths=2 → check hundredths:

- 439.216 → 1
- 439.261 → 6 → so 439.261 > 439.216

Order:
439.612 > 439.261 > 439.216 > 439.126

✔ Final for b: 439.612, 439.261, 439.216, 439.126

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c. 8.508, 8.58, 7.5, 7.058

First, separate by whole number:

- 8.508 and 8.58 → whole number 8
- 7.5 and 7.058 → whole number 7 → these are smaller

So 8s come before 7s.

Among 8s:
8.508 vs 8.58 → tenths both 5 → hundredths:
8.508 → 0
8.58 → 8 → so 8.58 > 8.508

Among 7s:
7.5 vs 7.058 → tenths:
7.5 → 5
7.058 → 0 → so 7.5 > 7.058

Full order (decreasing):
8.58 > 8.508 > 7.5 > 7.058

✔ Final for c: 8.58, 8.508, 7.5, 7.058

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Final Answer:

Increasing Order:

a. 3.04, 3.049, 3.05, 3.059
b. 182.025, 182.05, 182.105, 182.205
c. 8.008, 8.08, 8.081, 8.09

Decreasing Order:

a. 7.68, 7.608, 7.6, 7.068
b. 439.612, 439.261, 439.216, 439.126
c. 8.58, 8.508, 7.5, 7.058