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Ordering Decimals - Worksheet Digital - Free Printable

Ordering Decimals - Worksheet Digital

Educational worksheet: Ordering Decimals - Worksheet Digital. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Ordering Decimals - Worksheet Digital
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---

## 📌 Part 1: Arrange the decimals in ascending order (smallest to largest)

We are given these 15 decimals:

```
0.104, 2.05, 0.007, 1.43, 1.478,
3.056, 0.563, 1.095, 2.6, 1.203,
6.03, 20.67, 2.045, 0.576, 1.009
```

Step-by-step strategy:


- Compare numbers by their whole number part first.
- If whole parts are equal, compare decimal places one by one (tenths, hundredths, thousandths, etc.).

---

🔍 Group and sort:



Group 1: Numbers < 1
- 0.007
- 0.104
- 0.563
- 0.576

→ Sort: 0.007, 0.104, 0.563, 0.576

Group 2: Numbers between 1 and 2
- 1.009
- 1.095
- 1.203
- 1.43
- 1.478

→ Sort: 1.009, 1.095, 1.203, 1.43, 1.478

Group 3: Numbers between 2 and 3
- 2.045
- 2.05
- 2.6

→ Sort: 2.045, 2.05, 2.6

Group 4: Numbers ≥ 3
- 3.056
- 6.03
- 20.67

→ Sort: 3.056, 6.03, 20.67

---

Final Ascending Order:



```
0.007, 0.104, 0.563, 0.576,
1.009, 1.095, 1.203, 1.43, 1.478,
2.045, 2.05, 2.6,
3.056, 6.03, 20.67
```

---

## 📌 Part 2: Arrange the decimals in descending order (largest to smallest)

Given decimals:

```
0.24, 0.678, 0.056, 0.56, 0.324,
1.206, 1.375, 1.6, 2.045, 1.056,
5.506, 8.09, 2.35, 8.405, 1.28
```

Strategy: Same as above — compare whole parts first, then decimal places.



---

🔍 Group and sort:



Group 1: Numbers > 8
- 8.405
- 8.09

→ Sort: 8.405, 8.09

Group 2: Numbers between 5 and 8
- 5.506

→ Just: 5.506

Group 3: Numbers between 2 and 5
- 2.35
- 2.045

→ Sort: 2.35, 2.045

Group 4: Numbers between 1 and 2
- 1.6
- 1.375
- 1.28
- 1.206
- 1.056

→ Sort: 1.6, 1.375, 1.28, 1.206, 1.056

Group 5: Numbers < 1
- 0.678
- 0.56
- 0.324
- 0.24
- 0.056

→ Sort: 0.678, 0.56, 0.324, 0.24, 0.056

---

Final Descending Order:



```
8.405, 8.09, 5.506,
2.35, 2.045,
1.6, 1.375, 1.28, 1.206, 1.056,
0.678, 0.56, 0.324, 0.24, 0.056
```

---

## Final Answers to Fill In:

---

Ascending Order (Part 1):



Row 1:
`0.007` `0.104` `0.563` `0.576` `1.009`

Row 2:
`1.095` `1.203` `1.43` `1.478` `2.045`

Row 3:
`2.05` `2.6` `3.056` `6.03` `20.67`

*(Note: The worksheet has 5 boxes per row, so we fill them left to right as above.)*

---

Descending Order (Part 2):



Row 1:
`8.405` `8.09` `5.506` `2.35` `2.045`

Row 2:
`1.6` `1.375` `1.28` `1.206` `1.056`

Row 3:
`0.678` `0.56` `0.324` `0.24` `0.056`

---

All done! You can now fill in the boxes on your worksheet with these answers.

Let me know if you’d like a printable version or explanation for kids! 😊
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet year 5.
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