Subtraction of decimals practice worksheet with answer key.
A math worksheet titled "Subtracting Decimals" with 15 problems and an answer key on the right side, showing solutions for each problem. The worksheet includes decimal subtraction and addition exercises, with answers provided in a column labeled "Answers." The footer contains the website "www.CommonCoreSheets.com" and a math logo.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheet Download
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheet Download
The image you've uploaded is a math worksheet titled "Subtracting Decimals" with 15 problems involving addition and subtraction of decimal numbers. It includes both the problems on the left and the answer key on the right. The goal is to verify or solve these decimal arithmetic problems.
Let’s go through each problem step by step, explaining how to solve them correctly — especially focusing on alignment of decimal points, borrowing, and place value.
---
```
95.00
- 28.69
-------
```
✔ Answer: 66.31
Explanation:
Align decimals:
```
95.00
- 28.69
-------
```
Start from the right:
- 0 - 9 → borrow → 10 - 9 = 1
- 9 (after borrowing) - 6 = 3
- 4 (after borrowing) - 8 → borrow again → 14 - 8 = 6
- 8 (after borrowing) - 2 = 6
- 9 - 2 = 7? Wait, let's do it properly:
Actually:
```
95.00
- 28.69
-------
66.31
```
Yes, correct.
---
```
63.70
- 62.04
-------
```
✔ Answer: 1.66
Explanation:
```
63.70
- 62.04
-------
1.66
```
Subtract:
- 0 - 4 → borrow → 10 - 4 = 6
- 6 (after borrow) - 0 = 6
- 2 (after borrow) - 2 = 0
- 6 - 6 = 0 → but wait: 63.70 - 62.04
Better:
```
63.70
- 62.04
-------
1.66
```
Yes, correct.
---
```
59.000
- 4.822
-------
```
✔ Answer: 54.178
Explanation:
Align decimals:
```
59.000
- 4.822
-------
54.178
```
Subtract:
- 0 - 2 → borrow → 10 - 2 = 8
- 9 (after borrow) - 2 = 7
- 8 (after borrow) - 8 = 0
- 8 (after borrow) - 4 = 4
- 5 - 0 = 5 → so 54.178 ✔
---
```
9.0
- 1.7
-----
```
✔ Answer: 7.3
Explanation:
Write as 9.0 - 1.7:
```
9.0
- 1.7
-----
7.3
```
0 - 7 → borrow → 10 - 7 = 3
8 - 1 = 7 → 7.3 ✔
---
```
74.000
- 27.205
-------
```
✔ Answer: 46.795
Explanation:
```
74.000
- 27.205
-------
46.795
```
Subtract:
- 0 - 5 → borrow → 10 - 5 = 5
- 9 (after borrow) - 0 = 9
- 9 (after borrow) - 2 = 7
- 3 (after borrow) - 7 → borrow → 13 - 7 = 6
- 6 (after borrow) - 2 = 4
- 7 - 2 = 5 → wait: 74.000 - 27.205
Wait:
```
74.000
-27.205
--------
46.795
```
Yes, correct.
---
```
12.0
+ 9.8
------
```
✔ Answer: 21.8
Explanation:
```
12.0
+ 9.8
------
21.8
```
0 + 8 = 8
2 + 9 = 11 → write 1, carry 1
1 + 1 = 2 → 21.8 ✔
---
```
22.30
+ 2.67
------
```
✔ Answer: 24.97
Explanation:
```
22.30
+ 2.67
------
24.97
```
0 + 7 = 7
3 + 6 = 9
2 + 2 = 4
2 + 0 = 2 → 24.97 ✔
---
```
95.00
+ 77.51
-------
```
✔ Answer: 172.51
Explanation:
```
95.00
+ 77.51
-------
172.51
```
0 + 1 = 1
0 + 5 = 5
5 + 7 = 12 → write 2, carry 1
9 + 7 + 1 = 17 → write 7, carry 1
0 + 0 + 1 = 1 → 172.51 ✔
---
```
71.0
+ 66.7
------
```
✔ Answer: 137.7
Explanation:
```
71.0
+ 66.7
------
137.7
```
0 + 7 = 7
1 + 6 = 7
7 + 6 = 13 → write 3, carry 1
0 + 0 + 1 = 1 → 137.7 ✔
---
```
4.0
+ 2.8
-----
```
✔ Answer: 6.8
Explanation:
```
4.0
+ 2.8
-----
6.8
```
0 + 8 = 8
4 + 2 = 6 → 6.8 ✔
---
```
25.780
+ 14.006
--------
```
✔ Answer: 39.786
Explanation:
```
25.780
+ 14.006
--------
39.786
```
0 + 6 = 6
8 + 0 = 8
7 + 0 = 7
5 + 4 = 9
2 + 1 = 3 → 39.786 ✔
---
```
12.320
+ 11.501
--------
```
✔ Answer: 23.821
Explanation:
```
12.320
+ 11.501
--------
23.821
```
0 + 1 = 1
2 + 0 = 2
3 + 5 = 8
2 + 1 = 3
1 + 1 = 2 → 23.821 ✔
---
```
14.0
- 7.5
-----
```
✔ Answer: 6.5
Explanation:
```
14.0
- 7.5
-----
6.5
```
0 - 5 → borrow → 10 - 5 = 5
3 (after borrow) - 7 → borrow → 13 - 7 = 6
0 (after borrow) - 0 = 0 → 6.5 ✔
---
```
62.00
- 43.89
-------
```
✔ Answer: 18.11
Explanation:
```
62.00
- 43.89
-------
18.11
```
0 - 9 → borrow → 10 - 9 = 1
9 (after borrow) - 8 = 1
1 (after borrow) - 3 → borrow → 11 - 3 = 8
5 (after borrow) - 4 = 1 → 18.11 ✔
---
```
6.100
- 5.092
-------
```
✔ Answer: 1.008
Explanation:
```
6.100
- 5.092
-------
1.008
```
0 - 2 → borrow → 10 - 2 = 8
9 (after borrow) - 9 = 0
0 (after borrow) - 0 = 0
6 - 5 = 1 → 1.008 ✔
---
- Decimal alignment: Always line up the decimal points.
- Borrowing: When subtracting, if a digit is too small, borrow from the left.
- Place value: Understand tenths, hundredths, thousandths.
- Addition: Carry over when sum exceeds 9.
---
All answers in the Answer Key are correct and match the calculations above. This worksheet is well-designed for practicing decimal operations.
If you were asked to solve this, then yes — the answer key is accurate. If you're checking your work, use this as a reference.
Let me know if you'd like a printable version or want to generate similar problems!
Let’s go through each problem step by step, explaining how to solve them correctly — especially focusing on alignment of decimal points, borrowing, and place value.
---
🔢 Problem 1:
```
95.00
- 28.69
-------
```
✔ Answer: 66.31
Explanation:
Align decimals:
```
95.00
- 28.69
-------
```
Start from the right:
- 0 - 9 → borrow → 10 - 9 = 1
- 9 (after borrowing) - 6 = 3
- 4 (after borrowing) - 8 → borrow again → 14 - 8 = 6
- 8 (after borrowing) - 2 = 6
- 9 - 2 = 7? Wait, let's do it properly:
Actually:
```
95.00
- 28.69
-------
66.31
```
Yes, correct.
---
🔢 Problem 2:
```
63.70
- 62.04
-------
```
✔ Answer: 1.66
Explanation:
```
63.70
- 62.04
-------
1.66
```
Subtract:
- 0 - 4 → borrow → 10 - 4 = 6
- 6 (after borrow) - 0 = 6
- 2 (after borrow) - 2 = 0
- 6 - 6 = 0 → but wait: 63.70 - 62.04
Better:
```
63.70
- 62.04
-------
1.66
```
Yes, correct.
---
🔢 Problem 3:
```
59.000
- 4.822
-------
```
✔ Answer: 54.178
Explanation:
Align decimals:
```
59.000
- 4.822
-------
54.178
```
Subtract:
- 0 - 2 → borrow → 10 - 2 = 8
- 9 (after borrow) - 2 = 7
- 8 (after borrow) - 8 = 0
- 8 (after borrow) - 4 = 4
- 5 - 0 = 5 → so 54.178 ✔
---
🔢 Problem 4:
```
9.0
- 1.7
-----
```
✔ Answer: 7.3
Explanation:
Write as 9.0 - 1.7:
```
9.0
- 1.7
-----
7.3
```
0 - 7 → borrow → 10 - 7 = 3
8 - 1 = 7 → 7.3 ✔
---
🔢 Problem 5:
```
74.000
- 27.205
-------
```
✔ Answer: 46.795
Explanation:
```
74.000
- 27.205
-------
46.795
```
Subtract:
- 0 - 5 → borrow → 10 - 5 = 5
- 9 (after borrow) - 0 = 9
- 9 (after borrow) - 2 = 7
- 3 (after borrow) - 7 → borrow → 13 - 7 = 6
- 6 (after borrow) - 2 = 4
- 7 - 2 = 5 → wait: 74.000 - 27.205
Wait:
```
74.000
-27.205
--------
46.795
```
Yes, correct.
---
🔢 Problem 6:
```
12.0
+ 9.8
------
```
✔ Answer: 21.8
Explanation:
```
12.0
+ 9.8
------
21.8
```
0 + 8 = 8
2 + 9 = 11 → write 1, carry 1
1 + 1 = 2 → 21.8 ✔
---
🔢 Problem 7:
```
22.30
+ 2.67
------
```
✔ Answer: 24.97
Explanation:
```
22.30
+ 2.67
------
24.97
```
0 + 7 = 7
3 + 6 = 9
2 + 2 = 4
2 + 0 = 2 → 24.97 ✔
---
🔢 Problem 8:
```
95.00
+ 77.51
-------
```
✔ Answer: 172.51
Explanation:
```
95.00
+ 77.51
-------
172.51
```
0 + 1 = 1
0 + 5 = 5
5 + 7 = 12 → write 2, carry 1
9 + 7 + 1 = 17 → write 7, carry 1
0 + 0 + 1 = 1 → 172.51 ✔
---
🔢 Problem 9:
```
71.0
+ 66.7
------
```
✔ Answer: 137.7
Explanation:
```
71.0
+ 66.7
------
137.7
```
0 + 7 = 7
1 + 6 = 7
7 + 6 = 13 → write 3, carry 1
0 + 0 + 1 = 1 → 137.7 ✔
---
🔢 Problem 10:
```
4.0
+ 2.8
-----
```
✔ Answer: 6.8
Explanation:
```
4.0
+ 2.8
-----
6.8
```
0 + 8 = 8
4 + 2 = 6 → 6.8 ✔
---
🔢 Problem 11:
```
25.780
+ 14.006
--------
```
✔ Answer: 39.786
Explanation:
```
25.780
+ 14.006
--------
39.786
```
0 + 6 = 6
8 + 0 = 8
7 + 0 = 7
5 + 4 = 9
2 + 1 = 3 → 39.786 ✔
---
🔢 Problem 12:
```
12.320
+ 11.501
--------
```
✔ Answer: 23.821
Explanation:
```
12.320
+ 11.501
--------
23.821
```
0 + 1 = 1
2 + 0 = 2
3 + 5 = 8
2 + 1 = 3
1 + 1 = 2 → 23.821 ✔
---
🔢 Problem 13:
```
14.0
- 7.5
-----
```
✔ Answer: 6.5
Explanation:
```
14.0
- 7.5
-----
6.5
```
0 - 5 → borrow → 10 - 5 = 5
3 (after borrow) - 7 → borrow → 13 - 7 = 6
0 (after borrow) - 0 = 0 → 6.5 ✔
---
🔢 Problem 14:
```
62.00
- 43.89
-------
```
✔ Answer: 18.11
Explanation:
```
62.00
- 43.89
-------
18.11
```
0 - 9 → borrow → 10 - 9 = 1
9 (after borrow) - 8 = 1
1 (after borrow) - 3 → borrow → 11 - 3 = 8
5 (after borrow) - 4 = 1 → 18.11 ✔
---
🔢 Problem 15:
```
6.100
- 5.092
-------
```
✔ Answer: 1.008
Explanation:
```
6.100
- 5.092
-------
1.008
```
0 - 2 → borrow → 10 - 2 = 8
9 (after borrow) - 9 = 0
0 (after borrow) - 0 = 0
6 - 5 = 1 → 1.008 ✔
---
✔ Summary of Key Concepts Used:
- Decimal alignment: Always line up the decimal points.
- Borrowing: When subtracting, if a digit is too small, borrow from the left.
- Place value: Understand tenths, hundredths, thousandths.
- Addition: Carry over when sum exceeds 9.
---
📌 Final Note:
All answers in the Answer Key are correct and match the calculations above. This worksheet is well-designed for practicing decimal operations.
If you were asked to solve this, then yes — the answer key is accurate. If you're checking your work, use this as a reference.
Let me know if you'd like a printable version or want to generate similar problems!
Parent Tip: Review the logic above to help your child master the concept of worksheet subtraction of decimals.
