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Students can use this worksheet to practice solving addition equations involving decimal numbers.

Math worksheet titled Addition with Decimals featuring two columns of practice problems.

Math worksheet titled Addition with Decimals featuring two columns of practice problems.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Addition Worksheets | Free Printables | Math Worksheets

Problem: Addition with Decimals


The task is to solve the given addition problems involving decimals. Below are the solutions with step-by-step explanations.

---

#### Problem 1:
1. \( 45.3 + 9.9 = \)
- Align the decimal points:
```
45.3
+ 9.9
------
55.2
```
- Answer: \( 55.2 \)

2. \( 9.63 + 2.88 = \)
- Align the decimal points:
```
9.63
+ 2.88
------
12.51
```
- Answer: \( 12.51 \)

---

#### Problem 2:
1. \( 6.7 + 39.7 = \)
- Align the decimal points:
```
6.7
+ 39.7
------
46.4
```
- Answer: \( 46.4 \)

2. \( 5.74 + 9.9 = \)
- Align the decimal points (write \( 9.9 \) as \( 9.90 \)):
```
5.74
+ 9.90
------
15.64
```
- Answer: \( 15.64 \)

---

#### Problem 3:
1. \( 16.8 + 17.5 = \)
- Align the decimal points:
```
16.8
+ 17.5
------
34.3
```
- Answer: \( 34.3 \)

2. \( 4.12 + 6.31 = \)
- Align the decimal points:
```
4.12
+ 6.31
------
10.43
```
- Answer: \( 10.43 \)

---

#### Problem 4:
1. \( 9.2 + 8.8 = \)
- Align the decimal points:
```
9.2
+ 8.8
------
18.0
```
- Answer: \( 18.0 \)

2. \( 9.92 + 9.32 = \)
- Align the decimal points:
```
9.92
+ 9.32
------
19.24
```
- Answer: \( 19.24 \)

---

#### Problem 5:
1. \( 16.3 + 18.8 = \)
- Align the decimal points:
```
16.3
+ 18.8
------
35.1
```
- Answer: \( 35.1 \)

2. \( 74.3 + 83.5 = \)
- Align the decimal points:
```
74.3
+ 83.5
------
157.8
```
- Answer: \( 157.8 \)

---

#### Problem 6:
1. \( 2.53 + 4.5 = \)
- Align the decimal points (write \( 4.5 \) as \( 4.50 \)):
```
2.53
+ 4.50
------
7.03
```
- Answer: \( 7.03 \)

2. \( 4.21 + 9.6 = \)
- Align the decimal points (write \( 9.6 \) as \( 9.60 \)):
```
4.21
+ 9.60
------
13.81
```
- Answer: \( 13.81 \)

---

#### Problem 7:
1. \( 95.6 + 8.64 = \)
- Align the decimal points:
```
95.60
+ 8.64
------
104.24
```
- Answer: \( 104.24 \)

2. \( 47.3 + 52.9 = \)
- Align the decimal points:
```
47.3
+ 52.9
------
100.2
```
- Answer: \( 100.2 \)

---

#### Problem 8:
1. \( 17.7 + 22.3 = \)
- Align the decimal points:
```
17.7
+ 22.3
------
40.0
```
- Answer: \( 40.0 \)

2. \( 45.4 + 8.6 = \)
- Align the decimal points:
```
45.4
+ 8.6
------
54.0
```
- Answer: \( 54.0 \)

---

#### Problem 9:
1. \( 8.95 + 9.2 = \)
- Align the decimal points (write \( 9.2 \) as \( 9.20 \)):
```
8.95
+ 9.20
------
18.15
```
- Answer: \( 18.15 \)

2. \( 36.2 + 4.78 = \)
- Align the decimal points:
```
36.20
+ 4.78
------
40.98
```
- Answer: \( 40.98 \)

---

#### Problem 10:
1. \( 6.3 + 7.55 = \)
- Align the decimal points (write \( 6.3 \) as \( 6.30 \)):
```
6.30
+ 7.55
------
13.85
```
- Answer: \( 13.85 \)

2. \( 6.63 + 82.1 = \)
- Align the decimal points (write \( 82.1 \) as \( 82.10 \)):
```
6.63
+ 82.10
------
88.73
```
- Answer: \( 88.73 \)

---

Final Answers:


1. \( 55.2 \), \( 12.51 \)
2. \( 46.4 \), \( 15.64 \)
3. \( 34.3 \), \( 10.43 \)
4. \( 18.0 \), \( 19.24 \)
5. \( 35.1 \), \( 157.8 \)
6. \( 7.03 \), \( 13.81 \)
7. \( 104.24 \), \( 100.2 \)
8. \( 40.0 \), \( 54.0 \)
9. \( 18.15 \), \( 40.98 \)
10. \( 13.85 \), \( 88.73 \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 55.2, \, 12.51 \\
2. & 46.4, \, 15.64 \\
3. & 34.3, \, 10.43 \\
4. & 18.0, \, 19.24 \\
5. & 35.1, \, 157.8 \\
6. & 7.03, \, 13.81 \\
7. & 104.24, \, 100.2 \\
8. & 40.0, \, 54.0 \\
9. & 18.15, \, 40.98 \\
10. & 13.85, \, 88.73 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of year 5 maths worksheet.
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