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Decimal Addition and Subtraction worksheet for practicing math problems with tenths and hundredths.

A worksheet titled "Decimal Addition and Subtraction" with problems involving tenths and hundredths, formatted for vertical calculation.

A worksheet titled "Decimal Addition and Subtraction" with problems involving tenths and hundredths, formatted for vertical calculation.

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Show Answer Key & Explanations Step-by-step solution for: Decimal Addition and Subtraction
▼
Let's solve each of the decimal addition and subtraction problems step by step. We'll rewrite each problem vertically, aligning the decimal points, and then perform the operations.

---

a. 7.9 + 3.47



```
7.90
+ 3.47
------
11.37
```

Explanation:
We rewrite 7.9 as 7.90 to match the number of decimal places. Then add:

- 0 + 7 = 7 (hundredths)
- 9 + 4 = 13 → write 3, carry 1 (tenths)
- 7 + 3 + 1 (carry) = 11 → write 11

So, 7.9 + 3.47 = 11.37

---

b. 2.98 + 5.3



```
2.98
+ 5.30
------
8.28
```

Explanation:
Rewrite 5.3 as 5.30.

- 8 + 0 = 8 (hundredths)
- 9 + 3 = 12 → write 2, carry 1 (tenths)
- 2 + 5 + 1 = 8 (ones)

So, 2.98 + 5.3 = 8.28

---

c. 2 - 0.43



```
2.00
- 0.43
------
1.57
```

Explanation:
Rewrite 2 as 2.00.

- 0 - 3 → can't do, borrow: 10 - 3 = 7 (hundredths)
- 9 (after borrowing) - 4 = 5 (tenths)
- 1 (after borrowing) - 0 = 1 (ones)

So, 2 - 0.43 = 1.57

---

d. 21 + 4.09



```
21.00
+ 4.09
-------
25.09
```

Explanation:
Rewrite 21 as 21.00.

- 0 + 9 = 9 (hundredths)
- 0 + 0 = 0 (tenths)
- 1 + 4 = 5 (ones)
- 2 + 0 = 2 (tens)

So, 21 + 4.09 = 25.09

---

e. 55.78 - 4.4



```
55.78
- 4.40
-------
51.38
```

Explanation:
Rewrite 4.4 as 4.40.

- 8 - 0 = 8 (hundredths)
- 7 - 4 = 3 (tenths)
- 5 - 4 = 1 (ones)
- 5 - 0 = 5 (tens)

So, 55.78 - 4.4 = 51.38

---

f. 80.93 - 48



```
80.93
- 48.00
-------
32.93
```

Explanation:
Rewrite 48 as 48.00.

- 3 - 0 = 3 (hundredths)
- 9 - 0 = 9 (tenths)
- 0 - 8 → can't do, borrow: 10 - 8 = 2 (ones), but need to borrow from tens
- 7 (after borrowing) - 4 = 3 (tens)
- 8 becomes 7 after borrowing, then 7 - 4 = 3? Wait — let's go carefully:

Actually:
- 80.93
- 48.00

Start from right:
- 3 - 0 = 3
- 9 - 0 = 9
- 0 - 8 → borrow from 8 (tens): 10 - 8 = 2, but the 0 becomes 10, then borrow again?
Wait better:

Break it down:

```
80.93
-48.00
-------
```

- Hundredths: 3 - 0 = 3
- Tenths: 9 - 0 = 9
- Ones: 0 - 8 → can’t, borrow from tens
- Tens: 8 becomes 7, ones become 10
- Now ones: 10 - 8 = 2
- Tens: 7 - 4 = 3

So result: 32.93

Yes, 80.93 - 48 = 32.93

---

g. 7.05 + 4.6



```
7.05
+ 4.60
------
11.65
```

Explanation:
Rewrite 4.6 as 4.60.

- 5 + 0 = 5 (hundredths)
- 0 + 6 = 6 (tenths)
- 7 + 4 = 11 (ones)

So, 7.05 + 4.6 = 11.65

---

h. 94 - 4.8



```
94.00
- 4.80
-------
89.20
```

Explanation:
Rewrite 94 as 94.00, 4.8 as 4.80.

- 0 - 0 = 0 (hundredths)
- 0 - 8 → can't, borrow: 10 - 8 = 2 (tenths), but need to borrow
- Borrow 1 from 4 (ones), so 4 becomes 3, and tenths become 10
- But we need to subtract 8 from tenths: 10 - 8 = 2
- Now ones: 3 - 4 → can't, borrow from tens
- Tens: 9 becomes 8, ones become 13
- 13 - 4 = 9
- Tens: 8 - 0 = 8

So, 94 - 4.8 = 89.2

But wait: 94.00 - 4.80 = ?

Let’s compute:
- 94.00
- -4.80
- = 89.20 → yes

So, 89.20, or simply 89.2

Answer: 89.2

---

i. 32.15 + 24.15



```
32.15
+ 24.15
-------
56.30
```

Explanation:
Add directly:

- 5 + 5 = 10 → write 0, carry 1 (hundredths)
- 1 + 1 + 1 = 3 (tenths)
- 2 + 4 = 6 (ones)
- 3 + 2 = 5 (tens)

So, 32.15 + 24.15 = 56.30, or 56.3

---

j. 17.48 + 9.9



```
17.48
+ 9.90
-------
27.38
```

Explanation:
Rewrite 9.9 as 9.90.

- 8 + 0 = 8 (hundredths)
- 4 + 9 = 13 → write 3, carry 1 (tenths)
- 7 + 9 + 1 = 17 → write 7, carry 1 (ones)
- 1 + 0 + 1 = 2 (tens)

So, 17.48 + 9.9 = 27.38

---

k. 123.6 - 0.08



```
123.60
- 0.08
--------
123.52
```

Explanation:
Rewrite 123.6 as 123.60.

- 0 - 8 → can’t, borrow: 10 - 8 = 2 (hundredths)
- 5 (after borrowing) - 0 = 5 (tenths)
- Rest remains same

So, 123.6 - 0.08 = 123.52

---

l. 121.99 + 199.7



```
121.99
+ 199.70
---------
321.69
```

Explanation:
Rewrite 199.7 as 199.70.

- 9 + 0 = 9 (hundredths)
- 9 + 7 = 16 → write 6, carry 1 (tenths)
- 1 + 9 + 1 = 11 → write 1, carry 1 (ones)
- 1 + 9 + 1 = 11 → write 1, carry 1 (tens)
- 2 + 9 + 1 = 12 → write 2, carry 1 (hundreds)
- 1 + 1 = 2 (hundreds)

Wait, let's align:

```
121.99
+ 199.70
---------
```

- Hundredths: 9 + 0 = 9
- Tenths: 9 + 7 = 16 → write 6, carry 1
- Ones: 1 + 9 + 1 = 11 → write 1, carry 1
- Tens: 2 + 9 + 1 = 12 → write 2, carry 1
- Hundreds: 1 + 1 + 1 = 3

So: 321.69

Yes, 121.99 + 199.7 = 321.69

---

✔ Final Answers:



| Problem | Answer |
|--------|--------|
| a. 7.9 + 3.47 | 11.37 |
| b. 2.98 + 5.3 | 8.28 |
| c. 2 - 0.43 | 1.57 |
| d. 21 + 4.09 | 25.09 |
| e. 55.78 - 4.4 | 51.38 |
| f. 80.93 - 48 | 32.93 |
| g. 7.05 + 4.6 | 11.65 |
| h. 94 - 4.8 | 89.2 |
| i. 32.15 + 24.15 | 56.3 |
| j. 17.48 + 9.9 | 27.38 |
| k. 123.6 - 0.08 | 123.52 |
| l. 121.99 + 199.7 | 321.69 |

> Note: Always align decimals vertically and use zeros to fill missing decimal places before performing operations.

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