Grade 5 Decimals Worksheet: Adding Decimals in Columns
A Grade 5 decimals worksheet from K5 Learning featuring 15 problems that involve adding decimals in columns, with a clean layout and clear numbering for each exercise.
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Step-by-step solution for: Grade 5 Math Worksheets: Adding decimals in columns | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheets: Adding decimals in columns | Worsheets library
Let's solve each of the decimal addition problems in the worksheet step by step. The goal is to add decimals in columns, aligning the decimal points correctly and carrying over when necessary.
---
```
6.048
+ 8.854
-------
14.902
```
Explanation:
- Add thousandths: 8 + 4 = 12 → write 2, carry 1
- Add hundredths: 4 + 5 + 1 = 10 → write 0, carry 1
- Add tenths: 0 + 8 + 1 = 9
- Add units: 6 + 8 = 14
→ Result: 14.902
---
```
35.38
+59.94
------
95.32
```
Explanation:
- Tenths: 3 + 9 = 12 → write 2, carry 1
- Units: 5 + 9 + 1 = 15 → write 5, carry 1
- Tens: 3 + 5 + 1 = 9
→ Result: 95.32
---
```
81.88
+81.66
------
163.54
```
Explanation:
- Hundredths: 8 + 6 = 14 → write 4, carry 1
- Tenths: 8 + 6 + 1 = 15 → write 5, carry 1
- Units: 1 + 1 + 1 = 3
- Tens: 8 + 8 = 16 → write 6, carry 1
- Hundreds: 1 (carry)
→ Result: 163.54
---
```
31.01
+46.60
------
77.61
```
Explanation:
- Hundredths: 1 + 0 = 1
- Tenths: 0 + 6 = 6
- Units: 1 + 6 = 7
- Tens: 3 + 4 = 7
→ Result: 77.61
---
```
32.91
+34.08
------
66.99
```
Explanation:
- Hundredths: 1 + 8 = 9
- Tenths: 9 + 0 = 9
- Units: 2 + 4 = 6
- Tens: 3 + 3 = 6
→ Result: 66.99
---
```
14.40
+82.25
------
96.65
```
Explanation:
- Hundredths: 0 + 5 = 5
- Tenths: 4 + 2 = 6
- Units: 4 + 2 = 6
- Tens: 1 + 8 = 9
→ Result: 96.65
---
Wait — actually, it's:
66.00
+ 11.86
```
66.00
+11.86
------
77.86
```
Explanation:
- Hundredths: 0 + 6 = 6
- Tenths: 0 + 8 = 8
- Units: 6 + 1 = 7
- Tens: 6 + 1 = 7
→ Result: 77.86
---
```
1.040
+ 2.465
-------
3.505
```
Explanation:
- Thousandths: 0 + 5 = 5
- Hundredths: 4 + 6 = 10 → write 0, carry 1
- Tenths: 0 + 4 + 1 = 5
- Units: 1 + 2 = 3
→ Result: 3.505
---
```
61.29
+ 1.24
------
62.53
```
Explanation:
- Hundredths: 9 + 4 = 13 → write 3, carry 1
- Tenths: 2 + 2 + 1 = 5
- Units: 1 + 1 = 2
- Tens: 6
→ Result: 62.53
---
```
4.461
+ 2.311
-------
6.772
```
Explanation:
- Thousandths: 1 + 1 = 2
- Hundredths: 6 + 1 = 7
- Tenths: 4 + 3 = 7
- Units: 4 + 2 = 6
→ Result: 6.772
---
```
93.88
+77.49
------
171.37
```
Explanation:
- Hundredths: 8 + 9 = 17 → write 7, carry 1
- Tenths: 8 + 4 + 1 = 13 → write 3, carry 1
- Units: 3 + 7 + 1 = 11 → write 1, carry 1
- Tens: 9 + 7 + 1 = 17 → write 7, carry 1
- Hundreds: 1
→ Result: 171.37
---
```
8.763
+ 2.832
-------
11.595
```
Explanation:
- Thousandths: 3 + 2 = 5
- Hundredths: 6 + 3 = 9
- Tenths: 7 + 8 = 15 → write 5, carry 1
- Units: 8 + 2 + 1 = 11 → write 1, carry 1
- Tens: 1
→ Result: 11.595
---
```
2.802
+ 4.633
-------
7.435
```
Explanation:
- Thousandths: 2 + 3 = 5
- Hundredths: 0 + 3 = 3
- Tenths: 8 + 6 = 14 → write 4, carry 1
- Units: 2 + 4 + 1 = 7
→ Result: 7.435
---
```
2.400
+ 8.391
-------
10.791
```
Explanation:
- Thousandths: 0 + 1 = 1
- Hundredths: 0 + 9 = 9
- Tenths: 4 + 3 = 7
- Units: 2 + 8 = 10 → write 0, carry 1
- Tens: 1
→ Result: 10.791
---
```
7.518
+ 6.213
-------
13.731
```
Explanation:
- Thousandths: 8 + 3 = 11 → write 1, carry 1
- Hundredths: 1 + 1 + 1 = 3
- Tenths: 5 + 2 = 7
- Units: 7 + 6 = 13 → write 3, carry 1
- Tens: 1
→ Result: 13.731
---
1. 14.902
2. 95.32
3. 163.54
4. 77.61
5. 66.99
6. 96.65
7. 77.86
8. 3.505
9. 62.53
10. 6.772
11. 171.37
12. 11.595
13. 7.435
14. 10.791
15. 13.731
---
✔ All answers are correct and properly aligned with decimal points.
Let me know if you'd like this as a printable PDF or need explanations in simpler terms!
---
1. 6.048 + 8.854
```
6.048
+ 8.854
-------
14.902
```
Explanation:
- Add thousandths: 8 + 4 = 12 → write 2, carry 1
- Add hundredths: 4 + 5 + 1 = 10 → write 0, carry 1
- Add tenths: 0 + 8 + 1 = 9
- Add units: 6 + 8 = 14
→ Result: 14.902
---
2. 35.38 + 59.94
```
35.38
+59.94
------
95.32
```
Explanation:
- Tenths: 3 + 9 = 12 → write 2, carry 1
- Units: 5 + 9 + 1 = 15 → write 5, carry 1
- Tens: 3 + 5 + 1 = 9
→ Result: 95.32
---
3. 81.88 + 81.66
```
81.88
+81.66
------
163.54
```
Explanation:
- Hundredths: 8 + 6 = 14 → write 4, carry 1
- Tenths: 8 + 6 + 1 = 15 → write 5, carry 1
- Units: 1 + 1 + 1 = 3
- Tens: 8 + 8 = 16 → write 6, carry 1
- Hundreds: 1 (carry)
→ Result: 163.54
---
4. 31.01 + 46.60
```
31.01
+46.60
------
77.61
```
Explanation:
- Hundredths: 1 + 0 = 1
- Tenths: 0 + 6 = 6
- Units: 1 + 6 = 7
- Tens: 3 + 4 = 7
→ Result: 77.61
---
5. 32.91 + 34.08
```
32.91
+34.08
------
66.99
```
Explanation:
- Hundredths: 1 + 8 = 9
- Tenths: 9 + 0 = 9
- Units: 2 + 4 = 6
- Tens: 3 + 3 = 6
→ Result: 66.99
---
6. 14.40 + 82.25
```
14.40
+82.25
------
96.65
```
Explanation:
- Hundredths: 0 + 5 = 5
- Tenths: 4 + 2 = 6
- Units: 4 + 2 = 6
- Tens: 1 + 8 = 9
→ Result: 96.65
---
7. 66.00 + 11.86
Wait — actually, it's:
66.00
+ 11.86
```
66.00
+11.86
------
77.86
```
Explanation:
- Hundredths: 0 + 6 = 6
- Tenths: 0 + 8 = 8
- Units: 6 + 1 = 7
- Tens: 6 + 1 = 7
→ Result: 77.86
---
8. 1.040 + 2.465
```
1.040
+ 2.465
-------
3.505
```
Explanation:
- Thousandths: 0 + 5 = 5
- Hundredths: 4 + 6 = 10 → write 0, carry 1
- Tenths: 0 + 4 + 1 = 5
- Units: 1 + 2 = 3
→ Result: 3.505
---
9. 61.29 + 1.24
```
61.29
+ 1.24
------
62.53
```
Explanation:
- Hundredths: 9 + 4 = 13 → write 3, carry 1
- Tenths: 2 + 2 + 1 = 5
- Units: 1 + 1 = 2
- Tens: 6
→ Result: 62.53
---
10. 4.461 + 2.311
```
4.461
+ 2.311
-------
6.772
```
Explanation:
- Thousandths: 1 + 1 = 2
- Hundredths: 6 + 1 = 7
- Tenths: 4 + 3 = 7
- Units: 4 + 2 = 6
→ Result: 6.772
---
11. 93.88 + 77.49
```
93.88
+77.49
------
171.37
```
Explanation:
- Hundredths: 8 + 9 = 17 → write 7, carry 1
- Tenths: 8 + 4 + 1 = 13 → write 3, carry 1
- Units: 3 + 7 + 1 = 11 → write 1, carry 1
- Tens: 9 + 7 + 1 = 17 → write 7, carry 1
- Hundreds: 1
→ Result: 171.37
---
12. 8.763 + 2.832
```
8.763
+ 2.832
-------
11.595
```
Explanation:
- Thousandths: 3 + 2 = 5
- Hundredths: 6 + 3 = 9
- Tenths: 7 + 8 = 15 → write 5, carry 1
- Units: 8 + 2 + 1 = 11 → write 1, carry 1
- Tens: 1
→ Result: 11.595
---
13. 2.802 + 4.633
```
2.802
+ 4.633
-------
7.435
```
Explanation:
- Thousandths: 2 + 3 = 5
- Hundredths: 0 + 3 = 3
- Tenths: 8 + 6 = 14 → write 4, carry 1
- Units: 2 + 4 + 1 = 7
→ Result: 7.435
---
14. 2.400 + 8.391
```
2.400
+ 8.391
-------
10.791
```
Explanation:
- Thousandths: 0 + 1 = 1
- Hundredths: 0 + 9 = 9
- Tenths: 4 + 3 = 7
- Units: 2 + 8 = 10 → write 0, carry 1
- Tens: 1
→ Result: 10.791
---
15. 7.518 + 6.213
```
7.518
+ 6.213
-------
13.731
```
Explanation:
- Thousandths: 8 + 3 = 11 → write 1, carry 1
- Hundredths: 1 + 1 + 1 = 3
- Tenths: 5 + 2 = 7
- Units: 7 + 6 = 13 → write 3, carry 1
- Tens: 1
→ Result: 13.731
---
✔ Final Answers:
1. 14.902
2. 95.32
3. 163.54
4. 77.61
5. 66.99
6. 96.65
7. 77.86
8. 3.505
9. 62.53
10. 6.772
11. 171.37
12. 11.595
13. 7.435
14. 10.791
15. 13.731
---
✔ All answers are correct and properly aligned with decimal points.
Let me know if you'd like this as a printable PDF or need explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of addition of decimals worksheet pdf.
