Ordering decimals (1-2 digits) worksheets | Worsheets library - Free Printable

Let's solve the "Ordering Decimals" worksheet step by step. The task is to write the numbers from smallest to largest for each group.

---

1) Group 1:

Numbers:
58.4, 30.2, 54.4, 4.86, 13.1, 53.7, 16.83, 4.06, 13.09, 12.73, 76.3, 31.29, 45.5, 39.2

#### Step-by-step:
- First, look at the whole number part (before the decimal).
- Then compare the decimal parts if needed.

List them in order:

Start with the smallest whole number:
- 4.06, 4.86 → both have whole number 4
- Compare decimals: 4.06 < 4.86
- Next: 12.73, 13.09, 13.1 → all start with 13
- 12.73 < 13.09 < 13.1
- Then: 16.83
- Then: 23.6? Wait — no, we don't have 23.6. Let’s list all again.

Actually, let's sort properly:

| Number | Whole Part |
|--------|------------|
| 4.06 | 4 |
| 4.86 | 4 |
| 12.73 | 12 |
| 13.09 | 13 |
| 13.1 | 13 |
| 16.83 | 16 |
| 30.2 | 30 |
| 31.29 | 31 |
| 39.2 | 39 |
| 45.5 | 45 |
| 53.7 | 53 |
| 54.4 | 54 |
| 58.4 | 58 |
| 76.3 | 76 |

Now order by whole number, then decimal:

1. 4.06
2. 4.86
3. 12.73
4. 13.09
5. 13.1
6. 16.83
7. 30.2
8. 31.29
9. 39.2
10. 45.5
11. 53.7
12. 54.4
13. 58.4
14. 76.3

✔ Final order:
4.06, 4.86, 12.73, 13.09, 13.1, 16.83, 30.2, 31.29, 39.2, 45.5, 53.7, 54.4, 58.4, 76.3

---

2) Group 2:

Numbers:
3.33, 3.76, 35.51, 337.17, 34.2

All start with 3 or 30s except 337.17

Compare:

- 3.33, 3.76 → 3.33 < 3.76
- Then 34.2
- Then 35.51
- Then 337.17

So order:
3.33, 3.76, 34.2, 35.51, 337.17

---

3) Group 3:

Numbers:
10.28, 24.7, 129.7, 40.89, 66.4

Whole numbers: 10, 24, 129, 40, 66

Order:
10.28 < 24.7 < 40.89 < 66.4 < 129.7

✔ Order:
10.28, 24.7, 40.89, 66.4, 129.7

---

4) Group 4:

Numbers:
121.6, 17.1, 103.10, 189.6, 28.50

Whole numbers: 17, 28, 103, 121, 189

Note: 103.10 = 103.1

So order:
17.1 < 28.50 < 103.10 < 121.6 < 189.6

✔ Order:
17.1, 28.50, 103.10, 121.6, 189.6

---

5) Group 5:

Numbers:
37.69, 25.51, 34.46, 36.40, 85.2

Whole numbers: 25, 34, 36, 37, 85

Order:
25.51 < 34.46 < 36.40 < 37.69 < 85.2

✔ Order:
25.51, 34.46, 36.40, 37.69, 85.2

---

6) Group 6:

Numbers:
10.17, 5.7, 55.7, 10.21, 53.87

Whole numbers: 5, 10, 53, 55

So:
5.7 → smallest
Then 10.17 and 10.21 → 10.17 < 10.21
Then 53.87
Then 55.7

✔ Order:
5.7, 10.17, 10.21, 53.87, 55.7

---

7) Group 7:

Numbers:
5.27, 25.1, 40.01, 78.2, 70.2

Whole numbers: 5, 25, 40, 70, 78

Order:
5.27 < 25.1 < 40.01 < 70.2 < 78.2

✔ Order:
5.27, 25.1, 40.01, 70.2, 78.2

---

## ✔ Final Answers:

1) 4.06, 4.86, 12.73, 13.09, 13.1, 16.83, 30.2, 31.29, 39.2, 45.5, 53.7, 54.4, 58.4, 76.3

2) 3.33, 3.76, 34.2, 35.51, 337.17

3) 10.28, 24.7, 40.89, 66.4, 129.7

4) 17.1, 28.50, 103.10, 121.6, 189.6

5) 25.51, 34.46, 36.40, 37.69, 85.2

6) 5.7, 10.17, 10.21, 53.87, 55.7

7) 5.27, 25.1, 40.01, 70.2, 78.2

---

🔍 Explanation:

To order decimals:
1. Compare whole number parts first.
2. If whole parts are equal, compare tenths, then hundredths, etc.
3. Use place value: e.g., 13.09 vs 13.1 → 13.09 < 13.1 because 0.09 < 0.10

This method ensures accurate ordering of decimals.

Let me know if you'd like this printed or formatted for a worksheet!