Printable math worksheet for practicing addition and subtraction of decimal numbers.
A worksheet titled "Adding and Subtracting Decimals" with math problems and a cartoon monkey illustration.
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Step-by-step solution for: Math Made Easy: Our Favorite Adding and Subtracting Decimals ...
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Show Answer Key & Explanations
Step-by-step solution for: Math Made Easy: Our Favorite Adding and Subtracting Decimals ...
Let's solve the Adding and Subtracting Decimals Worksheet step by step.
---
We’ll add the decimals carefully, aligning the decimal points.
---
#### 1.
```
28.32
+ 9.13
-------
```
Add:
- 2 + 3 = 5 (hundredths)
- 3 + 1 = 4 (tenths)
- 8 + 9 = 17 → write 7, carry 1 (units)
- 2 + 0 + 1 (carry) = 3 (tens)
So:
28.32 + 9.13 = 37.45
---
#### 2.
```
13.14
+ 28.36
-------
```
Add:
- 4 + 6 = 10 → write 0, carry 1
- 1 + 3 + 1 = 5
- 3 + 8 = 11 → write 1, carry 1
- 1 + 2 + 1 = 4
So:
13.14 + 28.36 = 41.50
---
#### 3.
```
163.741
+243.002
--------
```
Align decimals:
```
163.741
+243.002
--------
```
Add:
- 1 + 2 = 3 (thousandths)
- 4 + 0 = 4 (hundredths)
- 7 + 0 = 7 (tenths)
- 3 + 3 = 6 (units)
- 6 + 4 = 10 → write 0, carry 1
- 1 + 2 + 1 = 4 (hundreds)
So:
163.741 + 243.002 = 406.743
---
#### 4.
```
86.93
+ 74.12
-------
```
Add:
- 3 + 2 = 5 (hundredths)
- 9 + 1 = 10 → write 0, carry 1
- 6 + 4 + 1 = 11 → write 1, carry 1
- 8 + 7 + 1 = 16
So:
86.93 + 74.12 = 161.05
---
#### 5.
```
11.19
+ 0.88
-------
```
Add:
- 9 + 8 = 17 → write 7, carry 1
- 1 + 8 + 1 = 10 → write 0, carry 1
- 1 + 0 + 1 = 2
- 1 + 0 = 1
So:
11.19 + 0.88 = 12.07
---
Now subtract the decimals, again aligning decimal points.
---
#### 1.
```
100.81
- 3.92
-------
```
Borrow where needed:
- 1 < 2 → borrow from 8 → becomes 11 - 2 = 9
- 7 (after borrowing) - 9 → can't do → borrow from 0 → but need to go to 100
- So: 100.81 becomes 99. (from 100) + 1.81 → better to write as:
```
100.81
- 3.92
-------
```
Break it down:
- 81 - 92 → can’t do → borrow 1 from 0 (but 0 is in tens place), so go to hundreds.
Think of 100.81 as 99 + 1.81 → then 1.81 - 0.92 = 0.89, and 99 - 3 = 96 → total = 96.89
Or step-by-step:
```
100.81
- 3.92
--------
```
Start from right:
- 1 - 2 → borrow → 11 - 2 = 9 → now 7 (since we borrowed) → 7 - 9 → can’t → borrow from 0 → but 0 → borrow from 100 → becomes 99. something
Better:
- 100.81 - 3.92 = ?
Convert both to cents:
- 100.81 = 10081 cents
- 3.92 = 392 cents
- 10081 - 392 = 9689 cents = 96.89
So:
100.81 - 3.92 = 96.89
---
#### 2.
```
99.23
- 19.09
-------
```
Subtract:
- 3 - 9 → borrow → 13 - 9 = 4
- 1 (after borrow) - 0 → but wait: 2 became 1 → 1 - 0 = 1? No — actually:
- 2 - 0 → but we borrowed for tenths → so 1 (from 2) → 1 - 0 = 1
- 9 - 9 = 0
- 9 - 1 = 8
Wait, let’s align:
```
99.23
- 19.09
-------
```
- Hundredths: 3 - 9 → borrow → 13 - 9 = 4 → tenths digit becomes 1
- Tenths: 1 (after borrow) - 0 = 1
- Units: 9 - 9 = 0
- Tens: 9 - 1 = 8
So:
99.23 - 19.09 = 80.14
---
#### 3.
```
62.97
- 59.13
-------
```
Subtract:
- 7 - 3 = 4
- 9 - 1 = 8
- 2 - 9 → can’t → borrow → 12 - 9 = 3 → tens digit becomes 5
- 5 - 5 = 0
So:
- 62.97 - 59.13 = 3.84
---
#### 4.
```
65.42
- 64.39
-------
```
Subtract:
- 2 - 9 → borrow → 12 - 9 = 3
- 3 (after borrow) - 3 = 0
- 5 - 4 = 1
- 6 - 6 = 0
So:
65.42 - 64.39 = 1.03
---
#### 5.
```
9.91
- 7.37
-------
```
Subtract:
- 1 - 7 → borrow → 11 - 7 = 4
- 8 (after borrow) - 3 = 5
- 9 - 7 = 2
So:
9.91 - 7.37 = 2.54
---
#### 6.
```
69.39
- 60.11
-------
```
Subtract:
- 9 - 1 = 8
- 3 - 1 = 2
- 9 - 0 = 9
- 6 - 6 = 0
So:
69.39 - 60.11 = 9.28
---
#### Addition:
1. 28.32 + 9.13 = 37.45
2. 13.14 + 28.36 = 41.50
3. 163.741 + 243.002 = 406.743
4. 86.93 + 74.12 = 161.05
5. 11.19 + 0.88 = 12.07
#### Subtraction:
1. 100.81 - 3.92 = 96.89
2. 99.23 - 19.09 = 80.14
3. 62.97 - 59.13 = 3.84
4. 65.42 - 64.39 = 1.03
5. 9.91 - 7.37 = 2.54
6. 69.39 - 60.11 = 9.28
---
✔ All problems solved! Let me know if you'd like a printed version or explanation with diagrams.
---
✔ Part 1: Addition
We’ll add the decimals carefully, aligning the decimal points.
---
#### 1.
```
28.32
+ 9.13
-------
```
Add:
- 2 + 3 = 5 (hundredths)
- 3 + 1 = 4 (tenths)
- 8 + 9 = 17 → write 7, carry 1 (units)
- 2 + 0 + 1 (carry) = 3 (tens)
So:
28.32 + 9.13 = 37.45
---
#### 2.
```
13.14
+ 28.36
-------
```
Add:
- 4 + 6 = 10 → write 0, carry 1
- 1 + 3 + 1 = 5
- 3 + 8 = 11 → write 1, carry 1
- 1 + 2 + 1 = 4
So:
13.14 + 28.36 = 41.50
---
#### 3.
```
163.741
+243.002
--------
```
Align decimals:
```
163.741
+243.002
--------
```
Add:
- 1 + 2 = 3 (thousandths)
- 4 + 0 = 4 (hundredths)
- 7 + 0 = 7 (tenths)
- 3 + 3 = 6 (units)
- 6 + 4 = 10 → write 0, carry 1
- 1 + 2 + 1 = 4 (hundreds)
So:
163.741 + 243.002 = 406.743
---
#### 4.
```
86.93
+ 74.12
-------
```
Add:
- 3 + 2 = 5 (hundredths)
- 9 + 1 = 10 → write 0, carry 1
- 6 + 4 + 1 = 11 → write 1, carry 1
- 8 + 7 + 1 = 16
So:
86.93 + 74.12 = 161.05
---
#### 5.
```
11.19
+ 0.88
-------
```
Add:
- 9 + 8 = 17 → write 7, carry 1
- 1 + 8 + 1 = 10 → write 0, carry 1
- 1 + 0 + 1 = 2
- 1 + 0 = 1
So:
11.19 + 0.88 = 12.07
---
✔ Part 2: Subtraction
Now subtract the decimals, again aligning decimal points.
---
#### 1.
```
100.81
- 3.92
-------
```
Borrow where needed:
- 1 < 2 → borrow from 8 → becomes 11 - 2 = 9
- 7 (after borrowing) - 9 → can't do → borrow from 0 → but need to go to 100
- So: 100.81 becomes 99. (from 100) + 1.81 → better to write as:
```
100.81
- 3.92
-------
```
Break it down:
- 81 - 92 → can’t do → borrow 1 from 0 (but 0 is in tens place), so go to hundreds.
Think of 100.81 as 99 + 1.81 → then 1.81 - 0.92 = 0.89, and 99 - 3 = 96 → total = 96.89
Or step-by-step:
```
100.81
- 3.92
--------
```
Start from right:
- 1 - 2 → borrow → 11 - 2 = 9 → now 7 (since we borrowed) → 7 - 9 → can’t → borrow from 0 → but 0 → borrow from 100 → becomes 99. something
Better:
- 100.81 - 3.92 = ?
Convert both to cents:
- 100.81 = 10081 cents
- 3.92 = 392 cents
- 10081 - 392 = 9689 cents = 96.89
So:
100.81 - 3.92 = 96.89
---
#### 2.
```
99.23
- 19.09
-------
```
Subtract:
- 3 - 9 → borrow → 13 - 9 = 4
- 1 (after borrow) - 0 → but wait: 2 became 1 → 1 - 0 = 1? No — actually:
- 2 - 0 → but we borrowed for tenths → so 1 (from 2) → 1 - 0 = 1
- 9 - 9 = 0
- 9 - 1 = 8
Wait, let’s align:
```
99.23
- 19.09
-------
```
- Hundredths: 3 - 9 → borrow → 13 - 9 = 4 → tenths digit becomes 1
- Tenths: 1 (after borrow) - 0 = 1
- Units: 9 - 9 = 0
- Tens: 9 - 1 = 8
So:
99.23 - 19.09 = 80.14
---
#### 3.
```
62.97
- 59.13
-------
```
Subtract:
- 7 - 3 = 4
- 9 - 1 = 8
- 2 - 9 → can’t → borrow → 12 - 9 = 3 → tens digit becomes 5
- 5 - 5 = 0
So:
- 62.97 - 59.13 = 3.84
---
#### 4.
```
65.42
- 64.39
-------
```
Subtract:
- 2 - 9 → borrow → 12 - 9 = 3
- 3 (after borrow) - 3 = 0
- 5 - 4 = 1
- 6 - 6 = 0
So:
65.42 - 64.39 = 1.03
---
#### 5.
```
9.91
- 7.37
-------
```
Subtract:
- 1 - 7 → borrow → 11 - 7 = 4
- 8 (after borrow) - 3 = 5
- 9 - 7 = 2
So:
9.91 - 7.37 = 2.54
---
#### 6.
```
69.39
- 60.11
-------
```
Subtract:
- 9 - 1 = 8
- 3 - 1 = 2
- 9 - 0 = 9
- 6 - 6 = 0
So:
69.39 - 60.11 = 9.28
---
✔ Final Answers:
#### Addition:
1. 28.32 + 9.13 = 37.45
2. 13.14 + 28.36 = 41.50
3. 163.741 + 243.002 = 406.743
4. 86.93 + 74.12 = 161.05
5. 11.19 + 0.88 = 12.07
#### Subtraction:
1. 100.81 - 3.92 = 96.89
2. 99.23 - 19.09 = 80.14
3. 62.97 - 59.13 = 3.84
4. 65.42 - 64.39 = 1.03
5. 9.91 - 7.37 = 2.54
6. 69.39 - 60.11 = 9.28
---
✔ All problems solved! Let me know if you'd like a printed version or explanation with diagrams.
Parent Tip: Review the logic above to help your child master the concept of adding subtracting decimals worksheet.