Let's solve the
Two-Digit Addition: Expanded Form worksheet step by step.
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What is Expanded Form?
Expanded form means breaking down a number into its tens and ones.
For example:
- 43 = 40 + 3
- 18 = 10 + 8
Then, we add the tens together and the ones together, and finally combine the results.
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We’ll go through each problem:
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Problem 1: 43 + 18
Break down:
- 43 =
40 + 3
- 18 =
10 + 8
Now add:
- Tens: 40 + 10 =
50
- Ones: 3 + 8 =
11
Now add those sums:
- 50 + 11 =
61
✔ Final answer:
61
---
Problem 2: 65 + 29
Break down:
- 65 =
60 + 5
- 29 =
20 + 9
Add:
- Tens: 60 + 20 =
80
- Ones: 5 + 9 =
14
Now add:
- 80 + 14 =
94
✔ Final answer:
94
---
Problem 3: 53 + 29
Break down:
- 53 =
50 + 3
- 29 =
20 + 9
Add:
- Tens: 50 + 20 =
70
- Ones: 3 + 9 =
12
Now add:
- 70 + 12 =
82
✔ Final answer:
82
---
Problem 4: 27 + 28
Break down:
- 27 =
20 + 7
- 28 =
20 + 8
Add:
- Tens: 20 + 20 =
40
- Ones: 7 + 8 =
15
Now add:
- 40 + 15 =
55
✔ Final answer:
55
---
Problem 5: 67 + 26
Break down:
- 67 =
60 + 7
- 26 =
20 + 6
Add:
- Tens: 60 + 20 =
80
- Ones: 7 + 6 =
13
Now add:
- 80 + 13 =
93
✔ Final answer:
93
---
Problem 6: 35 + 27
Break down:
- 35 =
30 + 5
- 27 =
20 + 7
Add:
- Tens: 30 + 20 =
50
- Ones: 5 + 7 =
12
Now add:
- 50 + 12 =
62
✔ Final answer:
62
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✔ Final Answers:
| Problem | Expanded Form | Sum |
|--------|----------------|-----|
| 43 + 18 | (40+3) + (10+8) → 50 + 11 →
61 | 61 |
| 65 + 29 | (60+5) + (20+9) → 80 + 14 →
94 | 94 |
| 53 + 29 | (50+3) + (20+9) → 70 + 12 →
82 | 82 |
| 27 + 28 | (20+7) + (20+8) → 40 + 15 →
55 | 55 |
| 67 + 26 | (60+7) + (20+6) → 80 + 13 →
93 | 93 |
| 35 + 27 | (30+5) + (20+7) → 50 + 12 →
62 | 62 |
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✔ How to Fill in the Worksheet:
Each box should be filled like this:
Example for 43 + 18:
```
43 = 40 + 3
+ 18 = 10 + 8
---------
40 + 10 = 50
3 + 8 = 11
----------
50 + 11 = 61
```
Repeat similarly for others.
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Parent Tip: Review the logic above to help your child master the concept of expanded addition worksheet.