Sure! Let’s solve each decimal addition and subtraction problem step by step, aligning the decimal points and performing the operations carefully.
---
Problem 1:
3.829 + 0.150
Align decimals:
```
3.829
+ 0.150
-------
```
Add column by column from right to left:
- Thousandths: 9 + 0 =
9
- Hundredths: 2 + 5 =
7
- Tenths: 8 + 1 =
9
- Units: 3 + 0 =
3
✔ Answer: 3.979
---
Problem 2:
25.61 - 12.99
Align decimals:
```
25.61
- 12.99
-------
```
Subtract column by column (borrow when needed):
- Hundredths: 1 < 9 → borrow 1 from tenths → becomes 11 - 9 =
2
(Tenths digit 6 becomes 5)
- Tenths: 5 < 9 → borrow 1 from units → becomes 15 - 9 =
6
(Units digit 5 becomes 4)
- Units: 4 - 2 =
2
- Tens: 2 - 1 =
1
✔ Answer: 12.62
---
Problem 3:
148.64 + 87.31
Align decimals:
```
148.64
+ 87.31
--------
```
Add column by column:
- Hundredths: 4 + 1 =
5
- Tenths: 6 + 3 =
9
- Units: 8 + 7 =
15 → write 5, carry 1
- Tens: 4 + 8 + 1 (carry) =
13 → write 3, carry 1
- Hundreds: 1 + 0 + 1 (carry) =
2
✔ Answer: 235.95
---
Problem 4:
256.801 - 151.333
Align decimals:
```
256.801
- 151.333
---------
```
Subtract column by column (borrow as needed):
- Thousandths: 1 < 3 → borrow → 11 - 3 =
8
(Hundredths digit 0 becomes 9 after borrowing from tenths)
- Hundredths: 9 - 3 =
6
- Tenths: 7 (after lending) - 3 =
4
- Units: 6 - 1 =
5
- Tens: 5 - 5 =
0
- Hundreds: 2 - 1 =
1
✔ Answer: 105.468
---
Problem 5:
998.01 + 5.89
Align decimals:
```
998.01
+ 5.89
--------
```
Add column by column:
- Hundredths: 1 + 9 =
10 → write 0, carry 1
- Tenths: 0 + 8 + 1 =
9
- Units: 8 + 5 =
13 → write 3, carry 1
- Tens: 9 + 0 + 1 =
10 → write 0, carry 1
- Hundreds: 9 + 0 + 1 =
10 → write 0, carry 1
- Thousands: 0 + 0 + 1 =
1
✔ Answer: 1003.90 (or
1003.9)
---
Problem 6:
2,589.223 - 1,321.689
Align decimals:
```
2589.223
- 1321.689
----------
```
Subtract column by column (borrow as needed):
- Thousandths: 3 < 9 → borrow → 13 - 9 =
4
(Hundredths digit 2 becomes 1)
- Hundredths: 1 < 8 → borrow → 11 - 8 =
3
(Tenths digit 2 becomes 1)
- Tenths: 1 < 6 → borrow → 11 - 6 =
5
(Units digit 9 becomes 8)
- Units: 8 - 1 =
7
- Tens: 8 - 2 =
6
- Hundreds: 5 - 3 =
2
- Thousands: 2 - 1 =
1
✔ Answer: 1,267.534
---
##
✔ Final Answers:
1.
3.979
2.
12.62
3.
235.95
4.
105.468
5.
1003.90 (or
1003.9)
6.
1,267.534
You can now fill in these answers in the textboxes on your worksheet!
Let me know if you’d like a printable version or step-by-step visuals!
Parent Tip: Review the logic above to help your child master the concept of for adding and subtracting decimals worksheet 5th grade.
