Grade 5 Math Worksheets: Adding decimals in columns | Worsheets library - Free Printable
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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
I will solve the problem by adding the decimals in columns as instructed. I'll go through each of the 15 problems one by one, aligning the decimal points and performing the addition.
Let me start with problem 1: 6.048 + 8.854
First, I'll align the decimal points:
```
6.048
+ 8.854
-------
```
Adding from right to left:
- Thousandths place: 8 + 4 = 12, write down 2, carry 1
- Hundredths place: 4 + 5 + 1 (carry) = 10, write down 0, carry 1
- Tenths place: 0 + 8 + 1 (carry) = 9, write down 9
- Units place: 6 + 8 = 14, write down 14
So, 6.048 + 8.854 = 14.902
Now, let me solve problem 2: 35.38 + 59.94
Aligning the decimal points:
```
35.38
+ 59.94
-------
```
Adding from right to left:
- Hundredths place: 8 + 4 = 12, write down 2, carry 1
- Tenths place: 3 + 9 + 1 (carry) = 13, write down 3, carry 1
- Units place: 5 + 9 + 1 (carry) = 15, write down 5, carry 1
- Tens place: 3 + 5 + 1 (carry) = 9, write down 9
So, 35.38 + 59.94 = 95.32
Problem 3: 81.88 + 81.66
Aligning the decimal points:
```
81.88
+ 81.66
-------
```
Adding from right to left:
- Hundredths place: 8 + 6 = 14, write down 4, carry 1
- Tenths place: 8 + 6 + 1 (carry) = 15, write down 5, carry 1
- Units place: 1 + 1 + 1 (carry) = 3, write down 3
- Tens place: 8 + 8 = 16, write down 16
So, 81.88 + 81.66 = 163.54
Problem 4: 31.01 + 46.60
Aligning the decimal points:
```
31.01
+ 46.60
-------
```
Adding from right to left:
- Hundredths place: 1 + 0 = 1, write down 1
- Tenths place: 0 + 6 = 6, write down 6
- Units place: 1 + 6 = 7, write down 7
- Tens place: 3 + 4 = 7, write down 7
So, 31.01 + 46.60 = 77.61
Problem 5: 32.91 + 34.08
Aligning the decimal points:
```
32.91
+ 34.08
-------
```
Adding from right to left:
- Hundredths place: 1 + 8 = 9, write down 9
- Tenths place: 9 + 0 = 9, write down 9
- Units place: 2 + 4 = 6, write down 6
- Tens place: 3 + 3 = 6, write down 6
So, 32.91 + 34.08 = 66.99
Problem 6: 14.40 + 82.25
Aligning the decimal points:
```
14.40
+ 82.25
-------
```
Adding from right to left:
- Hundredths place: 0 + 5 = 5, write down 5
- Tenths place: 4 + 2 = 6, write down 6
- Units place: 4 + 2 = 6, write down 6
- Tens place: 1 + 8 = 9, write down 9
So, 14.40 + 82.25 = 96.65
Problem 7: 66.00 + 11.86
Aligning the decimal points:
```
66.00
+ 11.86
-------
```
Adding from right to left:
- Hundredths place: 0 + 6 = 6, write down 6
- Tenths place: 0 + 8 = 8, write down 8
- Units place: 6 + 1 = 7, write down 7
- Tens place: 6 + 1 = 7, write down 7
So, 66.00 + 11.86 = 77.86
Problem 8: 1.040 + 2.465
Aligning the decimal points:
```
1.040
+ 2.465
-------
```
Adding from right to left:
- Thousandths place: 0 + 5 = 5, write down 5
- Hundredths place: 4 + 6 = 10, write down 0, carry 1
- Tenths place: 0 + 4 + 1 (carry) = 5, write down 5
- Units place: 1 + 2 = 3, write down 3
So, 1.040 + 2.465 = 3.505
Problem 9: 61.29 + 71.24
Aligning the decimal points:
```
61.29
+ 71.24
-------
```
Adding from right to left:
- Hundredths place: 9 + 4 = 13, write down 3, carry 1
- Tenths place: 2 + 2 + 1 (carry) = 5, write down 5
- Units place: 1 + 1 = 2, write down 2
- Tens place: 6 + 7 = 13, write down 13
So, 61.29 + 71.24 = 132.53
Problem 10: 4.461 + 2.311
Aligning the decimal points:
```
4.461
+ 2.311
-------
```
Adding from right to left:
- Thousandths place: 1 + 1 = 2, write down 2
- Hundredths place: 6 + 1 = 7, write down 7
- Tenths place: 4 + 3 = 7, write down 7
- Units place: 4 + 2 = 6, write down 6
So, 4.461 + 2.311 = 6.772
Problem 11: 93.88 + 77.49
Aligning the decimal points:
```
93.88
+ 77.49
-------
```
Adding from right to left:
- Hundredths place: 8 + 9 = 17, write down 7, carry 1
- Tenths place: 8 + 4 + 1 (carry) = 13, write down 3, carry 1
- Units place: 3 + 7 + 1 (carry) = 11, write down 1, carry 1
- Tens place: 9 + 7 + 1 (carry) = 17, write down 17
So, 93.88 + 77.49 = 171.37
Problem 12: 8.763 + 2.832
Aligning the decimal points:
```
8.763
+ 2.832
-------
```
Adding from right to left:
- Thousandths place: 3 + 2 = 5, write down 5
- Hundredths place: 6 + 3 = 9, write down 9
- Tenths place: 7 + 8 = 15, write down 5, carry 1
- Units place: 8 + 2 + 1 (carry) = 11, write down 11
So, 8.763 + 2.832 = 11.595
Problem 13: 2.902 + 4.633
Aligning the decimal points:
```
2.902
+ 4.633
-------
```
Adding from right to left:
- Thousandths place: 2 + 3 = 5, write down 5
- Hundredths place: 0 + 3 = 3, write down 3
- Tenths place: 9 + 6 = 15, write down 5, carry 1
- Units place: 2 + 4 + 1 (carry) = 7, write down 7
So, 2.902 + 4.633 = 7.535
Problem 14: 2.400 + 8.391
Aligning the decimal points:
```
2.400
+ 8.391
-------
```
Adding from right to left:
- Thousandths place: 0 + 1 = 1, write down 1
- Hundredths place: 0 + 9 = 9, write down 9
- Tenths place: 4 + 3 = 7, write down 7
- Units place: 2 + 8 = 10, write down 10
So, 2.400 + 8.391 = 10.791
Problem 15: 7.518 + 6.213
Aligning the decimal points:
```
7.518
+ 6.213
-------
```
Adding from right to left:
- Thousandths place: 8 + 3 = 11, write down 1, carry 1
- Hundredths place: 1 + 1 + 1 (carry) = 3, write down 3
- Tenths place: 5 + 2 = 7, write down 7
- Units place: 7 + 6 = 13, write down 13
So, 7.518 + 6.213 = 13.731
Here are all the solutions:
1. 6.048 + 8.854 = 14.902
2. 35.38 + 59.94 = 95.32
3. 81.88 + 81.66 = 163.54
4. 31.01 + 46.60 = 77.61
5. 32.91 + 34.08 = 66.99
6. 14.40 + 82.25 = 96.65
7. 66.00 + 11.86 = 77.86
8. 1.040 + 2.465 = 3.505
9. 61.29 + 71.24 = 132.53
10. 4.461 + 2.311 = 6.772
11. 93.88 + 77.49 = 171.37
12. 8.763 + 2.832 = 11.595
13. 2.902 + 4.633 = 7.535
14. 2.400 + 8.391 = 10.791
15. 7.518 + 6.213 = 13.731
Let me start with problem 1: 6.048 + 8.854
First, I'll align the decimal points:
```
6.048
+ 8.854
-------
```
Adding from right to left:
- Thousandths place: 8 + 4 = 12, write down 2, carry 1
- Hundredths place: 4 + 5 + 1 (carry) = 10, write down 0, carry 1
- Tenths place: 0 + 8 + 1 (carry) = 9, write down 9
- Units place: 6 + 8 = 14, write down 14
So, 6.048 + 8.854 = 14.902
Now, let me solve problem 2: 35.38 + 59.94
Aligning the decimal points:
```
35.38
+ 59.94
-------
```
Adding from right to left:
- Hundredths place: 8 + 4 = 12, write down 2, carry 1
- Tenths place: 3 + 9 + 1 (carry) = 13, write down 3, carry 1
- Units place: 5 + 9 + 1 (carry) = 15, write down 5, carry 1
- Tens place: 3 + 5 + 1 (carry) = 9, write down 9
So, 35.38 + 59.94 = 95.32
Problem 3: 81.88 + 81.66
Aligning the decimal points:
```
81.88
+ 81.66
-------
```
Adding from right to left:
- Hundredths place: 8 + 6 = 14, write down 4, carry 1
- Tenths place: 8 + 6 + 1 (carry) = 15, write down 5, carry 1
- Units place: 1 + 1 + 1 (carry) = 3, write down 3
- Tens place: 8 + 8 = 16, write down 16
So, 81.88 + 81.66 = 163.54
Problem 4: 31.01 + 46.60
Aligning the decimal points:
```
31.01
+ 46.60
-------
```
Adding from right to left:
- Hundredths place: 1 + 0 = 1, write down 1
- Tenths place: 0 + 6 = 6, write down 6
- Units place: 1 + 6 = 7, write down 7
- Tens place: 3 + 4 = 7, write down 7
So, 31.01 + 46.60 = 77.61
Problem 5: 32.91 + 34.08
Aligning the decimal points:
```
32.91
+ 34.08
-------
```
Adding from right to left:
- Hundredths place: 1 + 8 = 9, write down 9
- Tenths place: 9 + 0 = 9, write down 9
- Units place: 2 + 4 = 6, write down 6
- Tens place: 3 + 3 = 6, write down 6
So, 32.91 + 34.08 = 66.99
Problem 6: 14.40 + 82.25
Aligning the decimal points:
```
14.40
+ 82.25
-------
```
Adding from right to left:
- Hundredths place: 0 + 5 = 5, write down 5
- Tenths place: 4 + 2 = 6, write down 6
- Units place: 4 + 2 = 6, write down 6
- Tens place: 1 + 8 = 9, write down 9
So, 14.40 + 82.25 = 96.65
Problem 7: 66.00 + 11.86
Aligning the decimal points:
```
66.00
+ 11.86
-------
```
Adding from right to left:
- Hundredths place: 0 + 6 = 6, write down 6
- Tenths place: 0 + 8 = 8, write down 8
- Units place: 6 + 1 = 7, write down 7
- Tens place: 6 + 1 = 7, write down 7
So, 66.00 + 11.86 = 77.86
Problem 8: 1.040 + 2.465
Aligning the decimal points:
```
1.040
+ 2.465
-------
```
Adding from right to left:
- Thousandths place: 0 + 5 = 5, write down 5
- Hundredths place: 4 + 6 = 10, write down 0, carry 1
- Tenths place: 0 + 4 + 1 (carry) = 5, write down 5
- Units place: 1 + 2 = 3, write down 3
So, 1.040 + 2.465 = 3.505
Problem 9: 61.29 + 71.24
Aligning the decimal points:
```
61.29
+ 71.24
-------
```
Adding from right to left:
- Hundredths place: 9 + 4 = 13, write down 3, carry 1
- Tenths place: 2 + 2 + 1 (carry) = 5, write down 5
- Units place: 1 + 1 = 2, write down 2
- Tens place: 6 + 7 = 13, write down 13
So, 61.29 + 71.24 = 132.53
Problem 10: 4.461 + 2.311
Aligning the decimal points:
```
4.461
+ 2.311
-------
```
Adding from right to left:
- Thousandths place: 1 + 1 = 2, write down 2
- Hundredths place: 6 + 1 = 7, write down 7
- Tenths place: 4 + 3 = 7, write down 7
- Units place: 4 + 2 = 6, write down 6
So, 4.461 + 2.311 = 6.772
Problem 11: 93.88 + 77.49
Aligning the decimal points:
```
93.88
+ 77.49
-------
```
Adding from right to left:
- Hundredths place: 8 + 9 = 17, write down 7, carry 1
- Tenths place: 8 + 4 + 1 (carry) = 13, write down 3, carry 1
- Units place: 3 + 7 + 1 (carry) = 11, write down 1, carry 1
- Tens place: 9 + 7 + 1 (carry) = 17, write down 17
So, 93.88 + 77.49 = 171.37
Problem 12: 8.763 + 2.832
Aligning the decimal points:
```
8.763
+ 2.832
-------
```
Adding from right to left:
- Thousandths place: 3 + 2 = 5, write down 5
- Hundredths place: 6 + 3 = 9, write down 9
- Tenths place: 7 + 8 = 15, write down 5, carry 1
- Units place: 8 + 2 + 1 (carry) = 11, write down 11
So, 8.763 + 2.832 = 11.595
Problem 13: 2.902 + 4.633
Aligning the decimal points:
```
2.902
+ 4.633
-------
```
Adding from right to left:
- Thousandths place: 2 + 3 = 5, write down 5
- Hundredths place: 0 + 3 = 3, write down 3
- Tenths place: 9 + 6 = 15, write down 5, carry 1
- Units place: 2 + 4 + 1 (carry) = 7, write down 7
So, 2.902 + 4.633 = 7.535
Problem 14: 2.400 + 8.391
Aligning the decimal points:
```
2.400
+ 8.391
-------
```
Adding from right to left:
- Thousandths place: 0 + 1 = 1, write down 1
- Hundredths place: 0 + 9 = 9, write down 9
- Tenths place: 4 + 3 = 7, write down 7
- Units place: 2 + 8 = 10, write down 10
So, 2.400 + 8.391 = 10.791
Problem 15: 7.518 + 6.213
Aligning the decimal points:
```
7.518
+ 6.213
-------
```
Adding from right to left:
- Thousandths place: 8 + 3 = 11, write down 1, carry 1
- Hundredths place: 1 + 1 + 1 (carry) = 3, write down 3
- Tenths place: 5 + 2 = 7, write down 7
- Units place: 7 + 6 = 13, write down 13
So, 7.518 + 6.213 = 13.731
Here are all the solutions:
1. 6.048 + 8.854 = 14.902
2. 35.38 + 59.94 = 95.32
3. 81.88 + 81.66 = 163.54
4. 31.01 + 46.60 = 77.61
5. 32.91 + 34.08 = 66.99
6. 14.40 + 82.25 = 96.65
7. 66.00 + 11.86 = 77.86
8. 1.040 + 2.465 = 3.505
9. 61.29 + 71.24 = 132.53
10. 4.461 + 2.311 = 6.772
11. 93.88 + 77.49 = 171.37
12. 8.763 + 2.832 = 11.595
13. 2.902 + 4.633 = 7.535
14. 2.400 + 8.391 = 10.791
15. 7.518 + 6.213 = 13.731
Parent Tip: Review the logic above to help your child master the concept of decimal addition worksheet.