Adding and Subtracting Decimals Worksheet | Fun and Engaging 5th ... - Free Printable
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Step-by-step solution for: Adding and Subtracting Decimals Worksheet | Fun and Engaging 5th ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheet | Fun and Engaging 5th ...
Let's solve each section of the worksheet step by step.
---
We'll align the decimal points and perform addition or subtraction vertically.
---
1) 3.7 + 8.5
```
3.7
+ 8.5
-----
12.2
```
✔ Answer: 12.2
---
2) 24.4 + 7.7
```
24.4
+ 7.7
-----
32.1
```
✔ Answer: 32.1
---
3) 85.8 + 46.9
```
85.8
+46.9
-----
132.7
```
✔ Answer: 132.7
---
4) 39.02 + 84.1
Align decimals:
```
39.02
+84.10
-------
123.12
```
✔ Answer: 123.12
---
5) 55.6 + 7.12
```
55.60
+ 7.12
-------
62.72
```
✔ Answer: 62.72
---
6) 9.2 - 4.6
```
9.2
-4.6
----
4.6
```
✔ Answer: 4.6
---
7) 88.5 - 5.8
```
88.5
- 5.8
-----
82.7
```
✔ Answer: 82.7
---
8) 909.4 - 89.7
```
909.4
- 89.7
-------
819.7
```
✔ Answer: 819.7
---
9) 53.18 - 7.069
Align decimals:
```
53.180
- 7.069
--------
46.111
```
✔ Answer: 46.111
---
10) 284.61 - 35.9
```
284.61
- 35.90
--------
248.71
```
✔ Answer: 248.71
---
| Problem | Answer |
|--------|------------|
| 1 | 12.2 |
| 2 | 32.1 |
| 3 | 132.7 |
| 4 | 123.12 |
| 5 | 62.72 |
| 6 | 4.6 |
| 7 | 82.7 |
| 8 | 819.7 |
| 9 | 46.111 |
| 10 | 248.71 |
---
We’ll compute each using standard decimal operations.
---
1) 8.6 + 5.9
```
8.6 + 5.9 = 14.5
```
✔ Answer: 14.5
---
2) 11.9 + 7.48
```
11.90 + 7.48 = 19.38
```
✔ Answer: 19.38
---
3) 94.57 + 33.2
```
94.57 + 33.20 = 127.77
```
✔ Answer: 127.77
---
4) 9.2 - 7.9
```
9.2 - 7.9 = 1.3
```
✔ Answer: 1.3
---
5) 53.8 - 19.06
```
53.80 - 19.06 = 34.74
```
✔ Answer: 34.74
---
6) 70.94 - 48.4
```
70.94 - 48.40 = 22.54
```
✔ Answer: 22.54
---
7) 8.4 + 9.6 - 5.3
First, add:
8.4 + 9.6 = 18.0
Then subtract:
18.0 - 5.3 = 12.7
✔ Answer: 12.7
---
8) 16.08 - 7.8 + 9.24
Left to right:
16.08 - 7.8 = 8.28
8.28 + 9.24 = 17.52
✔ Answer: 17.52
---
9) 66.33 - 25.1 + 7.49
66.33 - 25.1 = 41.23
41.23 + 7.49 = 48.72
✔ Answer: 48.72
---
| Problem | Answer |
|--------|------------|
| 1 | 14.5 |
| 2 | 19.38 |
| 3 | 127.77 |
| 4 | 1.3 |
| 5 | 34.74 |
| 6 | 22.54 |
| 7 | 12.7 |
| 8 | 17.52 |
| 9 | 48.72 |
---
---
#### 1) Stanley stacks three books
Thicknesses:
- Book 1: 2.5 cm
- Book 2: 1.82 cm
- Book 3: 0.9 cm
Add them:
```
2.50
+1.82
+0.90
------
5.22
```
✔ Answer: The stack is 5.22 cm tall.
---
#### 2) Family baggage
Given:
- Allowance per family: 91.2 kg
- Jackson: 21.8 kg
- Sister: 31.24 kg
- Father: 19.03 kg
- Mother: 39.59 kg
##### a) How much did they exceed?
Total weight:
```
21.80
+31.24
+19.03
+39.59
--------
111.66 kg
```
Excess:
```
111.66 - 91.2 = 20.46 kg
```
✔ Answer: They exceeded by 20.46 kg.
---
##### b) Total allowance for 5 families?
```
91.2 × 5 = 456 kg
```
✔ Answer: 456 kg
---
1) 5.22 cm
2a) 20.46 kg
2b) 456 kg
---
---
1. 12.2
2. 32.1
3. 132.7
4. 123.12
5. 62.72
6. 4.6
7. 82.7
8. 819.7
9. 46.111
10. 248.71
---
1. 14.5
2. 19.38
3. 127.77
4. 1.3
5. 34.74
6. 22.54
7. 12.7
8. 17.52
9. 48.72
---
1. 5.22 cm
2a. 20.46 kg
2b. 456 kg
---
Let me know if you'd like this formatted as a printable answer key!
---
Section A: Use the standard algorithm to add and subtract the decimals
We'll align the decimal points and perform addition or subtraction vertically.
---
1) 3.7 + 8.5
```
3.7
+ 8.5
-----
12.2
```
✔ Answer: 12.2
---
2) 24.4 + 7.7
```
24.4
+ 7.7
-----
32.1
```
✔ Answer: 32.1
---
3) 85.8 + 46.9
```
85.8
+46.9
-----
132.7
```
✔ Answer: 132.7
---
4) 39.02 + 84.1
Align decimals:
```
39.02
+84.10
-------
123.12
```
✔ Answer: 123.12
---
5) 55.6 + 7.12
```
55.60
+ 7.12
-------
62.72
```
✔ Answer: 62.72
---
6) 9.2 - 4.6
```
9.2
-4.6
----
4.6
```
✔ Answer: 4.6
---
7) 88.5 - 5.8
```
88.5
- 5.8
-----
82.7
```
✔ Answer: 82.7
---
8) 909.4 - 89.7
```
909.4
- 89.7
-------
819.7
```
✔ Answer: 819.7
---
9) 53.18 - 7.069
Align decimals:
```
53.180
- 7.069
--------
46.111
```
✔ Answer: 46.111
---
10) 284.61 - 35.9
```
284.61
- 35.90
--------
248.71
```
✔ Answer: 248.71
---
✔ Section A Answers:
| Problem | Answer |
|--------|------------|
| 1 | 12.2 |
| 2 | 32.1 |
| 3 | 132.7 |
| 4 | 123.12 |
| 5 | 62.72 |
| 6 | 4.6 |
| 7 | 82.7 |
| 8 | 819.7 |
| 9 | 46.111 |
| 10 | 248.71 |
---
Section B: Use an appropriate method
We’ll compute each using standard decimal operations.
---
1) 8.6 + 5.9
```
8.6 + 5.9 = 14.5
```
✔ Answer: 14.5
---
2) 11.9 + 7.48
```
11.90 + 7.48 = 19.38
```
✔ Answer: 19.38
---
3) 94.57 + 33.2
```
94.57 + 33.20 = 127.77
```
✔ Answer: 127.77
---
4) 9.2 - 7.9
```
9.2 - 7.9 = 1.3
```
✔ Answer: 1.3
---
5) 53.8 - 19.06
```
53.80 - 19.06 = 34.74
```
✔ Answer: 34.74
---
6) 70.94 - 48.4
```
70.94 - 48.40 = 22.54
```
✔ Answer: 22.54
---
7) 8.4 + 9.6 - 5.3
First, add:
8.4 + 9.6 = 18.0
Then subtract:
18.0 - 5.3 = 12.7
✔ Answer: 12.7
---
8) 16.08 - 7.8 + 9.24
Left to right:
16.08 - 7.8 = 8.28
8.28 + 9.24 = 17.52
✔ Answer: 17.52
---
9) 66.33 - 25.1 + 7.49
66.33 - 25.1 = 41.23
41.23 + 7.49 = 48.72
✔ Answer: 48.72
---
✔ Section B Answers:
| Problem | Answer |
|--------|------------|
| 1 | 14.5 |
| 2 | 19.38 |
| 3 | 127.77 |
| 4 | 1.3 |
| 5 | 34.74 |
| 6 | 22.54 |
| 7 | 12.7 |
| 8 | 17.52 |
| 9 | 48.72 |
---
Section C: Word Problems
---
#### 1) Stanley stacks three books
Thicknesses:
- Book 1: 2.5 cm
- Book 2: 1.82 cm
- Book 3: 0.9 cm
Add them:
```
2.50
+1.82
+0.90
------
5.22
```
✔ Answer: The stack is 5.22 cm tall.
---
#### 2) Family baggage
Given:
- Allowance per family: 91.2 kg
- Jackson: 21.8 kg
- Sister: 31.24 kg
- Father: 19.03 kg
- Mother: 39.59 kg
##### a) How much did they exceed?
Total weight:
```
21.80
+31.24
+19.03
+39.59
--------
111.66 kg
```
Excess:
```
111.66 - 91.2 = 20.46 kg
```
✔ Answer: They exceeded by 20.46 kg.
---
##### b) Total allowance for 5 families?
```
91.2 × 5 = 456 kg
```
✔ Answer: 456 kg
---
✔ Section C Answers:
1) 5.22 cm
2a) 20.46 kg
2b) 456 kg
---
✔ Final Summary of All Answers
---
Section A:
1. 12.2
2. 32.1
3. 132.7
4. 123.12
5. 62.72
6. 4.6
7. 82.7
8. 819.7
9. 46.111
10. 248.71
---
Section B:
1. 14.5
2. 19.38
3. 127.77
4. 1.3
5. 34.74
6. 22.54
7. 12.7
8. 17.52
9. 48.72
---
Section C:
1. 5.22 cm
2a. 20.46 kg
2b. 456 kg
---
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting decimals worksheet 5th grade.
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