Ordering decimals worksheet for Grade 4 students, focusing on arranging decimal numbers in ascending order.
A worksheet titled "Ordering decimals" from K5 Learning, designed for Grade 4 students, featuring exercises to write decimal numbers from smallest to largest.
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Step-by-step solution for: Ordering decimals (1-2 digits) worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Ordering decimals (1-2 digits) worksheets | Worsheets library
Let's solve the "Ordering Decimals" worksheet step by step. The task is to write the numbers from smallest to largest for each group.
---
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
---
Numbers:
3.33, 3.76, 35.51, 337.17, 34.2
All are positive decimals.
Look at whole parts:
- 3.33 → 3
- 3.76 → 3
- 34.2 → 34
- 35.51 → 35
- 337.17 → 337
So:
- 3.33 and 3.76 → compare decimals: 3.33 < 3.76
- Then 34.2
- Then 35.51
- Then 337.17
✔ Order:
3.33, 3.76, 34.2, 35.51, 337.17
---
Numbers:
10.28, 24.7, 129.7, 40.89, 66.4
Whole parts:
- 10.28 → 10
- 24.7 → 24
- 40.89 → 40
- 66.4 → 66
- 129.7 → 129
So order:
- 10.28
- 24.7
- 40.89
- 66.4
- 129.7
✔ Order:
10.28, 24.7, 40.89, 66.4, 129.7
---
Numbers:
37.69, 25.51, 34.46, 36.40, 85.2
Whole parts:
- 25.51 → 25
- 34.46 → 34
- 36.40 → 36
- 37.69 → 37
- 85.2 → 85
Order:
- 25.51
- 34.46
- 36.40
- 37.69
- 85.2
✔ Order:
25.51, 34.46, 36.40, 37.69, 85.2
---
Numbers:
10.17, 5.7, 55.7, 10.21, 53.87
Whole parts:
- 5.7 → 5
- 10.17 → 10
- 10.21 → 10
- 53.87 → 53
- 55.7 → 55
Now:
- 5.7 (smallest)
- Then 10.17 and 10.21 → compare decimals: 10.17 < 10.21
- Then 53.87
- Then 55.7
✔ Order:
5.7, 10.17, 10.21, 53.87, 55.7
---
Numbers:
121.6, 17.1, 103.10, 189.6, 28.50
Whole parts:
- 17.1 → 17
- 28.50 → 28
- 103.10 → 103
- 121.6 → 121
- 189.6 → 189
Order:
- 17.1
- 28.50
- 103.10
- 121.6
- 189.6
✔ Order:
17.1, 28.50, 103.10, 121.6, 189.6
---
Numbers:
5.27, 25.1, 40.01, 78.2, 70.2
Whole parts:
- 5.27 → 5
- 25.1 → 25
- 40.01 → 40
- 70.2 → 70
- 78.2 → 78
Order:
- 5.27
- 25.1
- 40.01
- 70.2
- 78.2
✔ Order:
5.27, 25.1, 40.01, 70.2, 78.2
---
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) 25.51, 34.46, 36.40, 37.69, 85.2
5) 5.7, 10.17, 10.21, 53.87, 55.7
6) 17.1, 28.50, 103.10, 121.6, 189.6
7) 5.27, 25.1, 40.01, 70.2, 78.2
---
To order decimals:
1. Compare whole number parts first.
2. If whole parts are equal, compare the decimal parts digit by digit.
3. Remember: more digits after decimal doesn’t mean larger value — e.g., 10.17 < 10.21 even though 10.21 has fewer digits.
This method ensures accurate ordering of decimals.
Let me know if you'd like this formatted as a printable answer sheet!
---
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 are positive decimals.
Look at whole parts:
- 3.33 → 3
- 3.76 → 3
- 34.2 → 34
- 35.51 → 35
- 337.17 → 337
So:
- 3.33 and 3.76 → compare decimals: 3.33 < 3.76
- Then 34.2
- Then 35.51
- Then 337.17
✔ 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 parts:
- 10.28 → 10
- 24.7 → 24
- 40.89 → 40
- 66.4 → 66
- 129.7 → 129
So 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:
37.69, 25.51, 34.46, 36.40, 85.2
Whole parts:
- 25.51 → 25
- 34.46 → 34
- 36.40 → 36
- 37.69 → 37
- 85.2 → 85
Order:
- 25.51
- 34.46
- 36.40
- 37.69
- 85.2
✔ Order:
25.51, 34.46, 36.40, 37.69, 85.2
---
5) Group 5:
Numbers:
10.17, 5.7, 55.7, 10.21, 53.87
Whole parts:
- 5.7 → 5
- 10.17 → 10
- 10.21 → 10
- 53.87 → 53
- 55.7 → 55
Now:
- 5.7 (smallest)
- Then 10.17 and 10.21 → compare decimals: 10.17 < 10.21
- Then 53.87
- Then 55.7
✔ Order:
5.7, 10.17, 10.21, 53.87, 55.7
---
6) Group 6:
Numbers:
121.6, 17.1, 103.10, 189.6, 28.50
Whole parts:
- 17.1 → 17
- 28.50 → 28
- 103.10 → 103
- 121.6 → 121
- 189.6 → 189
Order:
- 17.1
- 28.50
- 103.10
- 121.6
- 189.6
✔ Order:
17.1, 28.50, 103.10, 121.6, 189.6
---
7) Group 7:
Numbers:
5.27, 25.1, 40.01, 78.2, 70.2
Whole parts:
- 5.27 → 5
- 25.1 → 25
- 40.01 → 40
- 70.2 → 70
- 78.2 → 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) 25.51, 34.46, 36.40, 37.69, 85.2
5) 5.7, 10.17, 10.21, 53.87, 55.7
6) 17.1, 28.50, 103.10, 121.6, 189.6
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 the decimal parts digit by digit.
3. Remember: more digits after decimal doesn’t mean larger value — e.g., 10.17 < 10.21 even though 10.21 has fewer digits.
This method ensures accurate ordering of decimals.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of decimals worksheet grade 4.