Worksheet for practicing adding and subtracting decimals, including column methods and real-life word problems.
A worksheet titled "Adding and Subtracting Decimals" with three sections: Section A for column addition and subtraction, Section B for solving decimal sums, and Section C for word problems involving decimals.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheet | PDF Printable Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheet | PDF Printable Worksheet
Let's solve each section of the worksheet step by step.
---
We'll use column methods, aligning decimal points carefully.
---
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
First, write 84.1 as 84.10 to match decimal places:
```
39.02
+84.10
------
123.12
```
✔ Answer: 123.12
---
5) 55.6 + 7.12
Write 55.6 as 55.60:
```
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 (add a zero to 53.18 → 53.180):
```
53.180
- 7.069
--------
46.111
```
✔ Answer: 46.111
---
10) 284.61 - 35.9
Write 35.9 as 35.90:
```
284.61
- 35.90
--------
248.71
```
✔ Answer: 248.71
---
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 do these step-by-step.
---
1) 8.6 + 5.9 = ?
```
8.6 + 5.9 = 14.5
```
✔ Answer: 14.5
---
2) 11.9 + 7.48 = ?
Align decimals:
```
11.90
+7.48
------
19.38
```
✔ Answer: 19.38
---
3) 94.57 + 33.2 = ?
Write 33.2 as 33.20:
```
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 = ?
Write 53.8 as 53.80:
```
53.80
-19.06
-------
34.74
```
✔ Answer: 34.74
---
6) 70.94 - 48.4 = ?
Write 48.4 as 48.40:
```
70.94
-48.40
-------
22.54
```
✔ Answer: 22.54
---
7) 8.4 + 9.6 - 5.3 = ?
Do left to right:
- 8.4 + 9.6 = 18.0
- 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
---
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:
- Book 1: 2.5 cm
- Book 2: 1.82 cm
- Book 3: 0.9 cm
Total height = 2.5 + 1.82 + 0.9
Step-by-step:
- 2.5 + 1.82 = 4.32
- 4.32 + 0.9 = 5.22
✔ Answer: The stack is 5.22 cm tall.
---
2) Family baggage problem
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 have they exceeded the allowance?
First, total weight:
Add all bags:
```
21.80
31.24
19.03
+39.59
-------
111.66 kg
```
Now subtract allowance:
111.66 - 91.2 = 20.46 kg
✔ Answer: They exceeded by 20.46 kg
---
b) Total baggage allowance for 5 families
Allowance per family: 91.2 kg
For 5 families:
91.2 × 5 = ?
Break it down:
- 90 × 5 = 450
- 1.2 × 5 = 6.0
- Total = 450 + 6 = 456 kg
✔ Answer: 456 kg
---
1) 5.22 cm
2a) 20.46 kg
2b) 456 kg
---
#### 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 in printable format or with working shown in columns!
---
Section A: Column Addition and Subtraction
We'll use column methods, aligning decimal points carefully.
---
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
First, write 84.1 as 84.10 to match decimal places:
```
39.02
+84.10
------
123.12
```
✔ Answer: 123.12
---
5) 55.6 + 7.12
Write 55.6 as 55.60:
```
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 (add a zero to 53.18 → 53.180):
```
53.180
- 7.069
--------
46.111
```
✔ Answer: 46.111
---
10) 284.61 - 35.9
Write 35.9 as 35.90:
```
284.61
- 35.90
--------
248.71
```
✔ Answer: 248.71
---
✔ Section A Answers:
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 do these step-by-step.
---
1) 8.6 + 5.9 = ?
```
8.6 + 5.9 = 14.5
```
✔ Answer: 14.5
---
2) 11.9 + 7.48 = ?
Align decimals:
```
11.90
+7.48
------
19.38
```
✔ Answer: 19.38
---
3) 94.57 + 33.2 = ?
Write 33.2 as 33.20:
```
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 = ?
Write 53.8 as 53.80:
```
53.80
-19.06
-------
34.74
```
✔ Answer: 34.74
---
6) 70.94 - 48.4 = ?
Write 48.4 as 48.40:
```
70.94
-48.40
-------
22.54
```
✔ Answer: 22.54
---
7) 8.4 + 9.6 - 5.3 = ?
Do left to right:
- 8.4 + 9.6 = 18.0
- 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:
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:
- Book 1: 2.5 cm
- Book 2: 1.82 cm
- Book 3: 0.9 cm
Total height = 2.5 + 1.82 + 0.9
Step-by-step:
- 2.5 + 1.82 = 4.32
- 4.32 + 0.9 = 5.22
✔ Answer: The stack is 5.22 cm tall.
---
2) Family baggage problem
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 have they exceeded the allowance?
First, total weight:
Add all bags:
```
21.80
31.24
19.03
+39.59
-------
111.66 kg
```
Now subtract allowance:
111.66 - 91.2 = 20.46 kg
✔ Answer: They exceeded by 20.46 kg
---
b) Total baggage allowance for 5 families
Allowance per family: 91.2 kg
For 5 families:
91.2 × 5 = ?
Break it down:
- 90 × 5 = 450
- 1.2 × 5 = 6.0
- Total = 450 + 6 = 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 in printable format or with working shown in columns!
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction decimal worksheet pdf.