4 digit addition with regrouping worksheet - Free Printable
Educational worksheet: 4 digit addition with regrouping worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: 4 digit addition with regrouping worksheet
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Show Answer Key & Explanations
Step-by-step solution for: 4 digit addition with regrouping worksheet
Let's solve the 4-digit addition problems step by step, both the numerical ones and the word problems.
---
We'll add each pair of numbers using column addition (starting from the rightmost digit, carrying over when needed).
---
#### 1. 2575 + 8765
```
2575
+ 8765
-------
```
- Units: 5 + 5 = 10 → write 0, carry 1
- Tens: 7 + 6 = 13 + 1 (carry) = 14 → write 4, carry 1
- Hundreds: 5 + 7 = 12 + 1 = 13 → write 3, carry 1
- Thousands: 2 + 8 = 10 + 1 = 11
Result: 11,340
---
#### 2. 4321 + 8889
```
4321
+ 8889
-------
```
- Units: 1 + 9 = 10 → write 0, carry 1
- Tens: 2 + 8 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 3 + 8 = 11 + 1 = 12 → write 2, carry 1
- Thousands: 4 + 8 = 12 + 1 = 13
Result: 13,210
---
#### 3. 6795 + 8769
```
6795
+ 8769
-------
```
- Units: 5 + 9 = 14 → write 4, carry 1
- Tens: 9 + 6 = 15 + 1 = 16 → write 6, carry 1
- Hundreds: 7 + 7 = 14 + 1 = 15 → write 5, carry 1
- Thousands: 6 + 8 = 14 + 1 = 15
Result: 15,564
---
#### 4. 8669 + 5978
```
8669
+ 5978
-------
```
- Units: 9 + 8 = 17 → write 7, carry 1
- Tens: 6 + 7 = 13 + 1 = 14 → write 4, carry 1
- Hundreds: 6 + 9 = 15 + 1 = 16 → write 6, carry 1
- Thousands: 8 + 5 = 13 + 1 = 14
Result: 14,647
---
#### 5. 6629 + 9877
```
6629
+ 9877
-------
```
- Units: 9 + 7 = 16 → write 6, carry 1
- Tens: 2 + 7 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 6 + 8 = 14 + 1 = 15 → write 5, carry 1
- Thousands: 6 + 9 = 15 + 1 = 16
Result: 16,506
---
#### 6. 3984 + 8329
```
3984
+ 8329
-------
```
- Units: 4 + 9 = 13 → write 3, carry 1
- Tens: 8 + 2 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 9 + 3 = 12 + 1 = 13 → write 3, carry 1
- Thousands: 3 + 8 = 11 + 1 = 12
Result: 12,313
---
1. 2575 + 8765 = 11,340
2. 4321 + 8889 = 13,210
3. 6795 + 8769 = 15,564
4. 8669 + 5978 = 14,647
5. 6629 + 9877 = 16,506
6. 3984 + 8329 = 12,313
---
---
#### a) NBA Game Attendance
> On Friday: 8,212 people
> On Sunday: 5,289 people
> Total = ?
Add:
```
8212
+ 5289
------
```
- Units: 2 + 9 = 11 → write 1, carry 1
- Tens: 1 + 8 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 2 + 2 = 4 + 1 = 5
- Thousands: 8 + 5 = 13
Answer: 13,501 people
✔ Total watching the NBA combined: 13,501
---
#### b) Superbowl LIV Attendance
> East side: 3,568
> West side: 2,547
> Total = ?
```
3568
+ 2547
------
```
- Units: 8 + 7 = 15 → write 5, carry 1
- Tens: 6 + 4 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 5 + 5 = 10 + 1 = 11 → write 1, carry 1
- Thousands: 3 + 2 = 5 + 1 = 6
Answer: 6,115 people
✔ Total attendees: 6,115
---
#### c) Flights at Lynden Pindling Airport
> December: 6,328 flights
> January: 3,779 flights
> Total = ?
```
6328
+ 3779
------
```
- Units: 8 + 9 = 17 → write 7, carry 1
- Tens: 2 + 7 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 3 + 7 = 10 + 1 = 11 → write 1, carry 1
- Thousands: 6 + 3 = 9 + 1 = 10
Answer: 10,107 flights
✔ Total flights in two months: 10,107
---
#### Direct Addition:
1. 11,340
2. 13,210
3. 15,564
4. 14,647
5. 16,506
6. 12,313
#### Word Problems:
a) 13,501 people
b) 6,115 people
c) 10,107 flights
Let me know if you'd like this formatted as a printable worksheet!
---
🔢 Part 1: Direct Addition Problems
We'll add each pair of numbers using column addition (starting from the rightmost digit, carrying over when needed).
---
#### 1. 2575 + 8765
```
2575
+ 8765
-------
```
- Units: 5 + 5 = 10 → write 0, carry 1
- Tens: 7 + 6 = 13 + 1 (carry) = 14 → write 4, carry 1
- Hundreds: 5 + 7 = 12 + 1 = 13 → write 3, carry 1
- Thousands: 2 + 8 = 10 + 1 = 11
Result: 11,340
---
#### 2. 4321 + 8889
```
4321
+ 8889
-------
```
- Units: 1 + 9 = 10 → write 0, carry 1
- Tens: 2 + 8 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 3 + 8 = 11 + 1 = 12 → write 2, carry 1
- Thousands: 4 + 8 = 12 + 1 = 13
Result: 13,210
---
#### 3. 6795 + 8769
```
6795
+ 8769
-------
```
- Units: 5 + 9 = 14 → write 4, carry 1
- Tens: 9 + 6 = 15 + 1 = 16 → write 6, carry 1
- Hundreds: 7 + 7 = 14 + 1 = 15 → write 5, carry 1
- Thousands: 6 + 8 = 14 + 1 = 15
Result: 15,564
---
#### 4. 8669 + 5978
```
8669
+ 5978
-------
```
- Units: 9 + 8 = 17 → write 7, carry 1
- Tens: 6 + 7 = 13 + 1 = 14 → write 4, carry 1
- Hundreds: 6 + 9 = 15 + 1 = 16 → write 6, carry 1
- Thousands: 8 + 5 = 13 + 1 = 14
Result: 14,647
---
#### 5. 6629 + 9877
```
6629
+ 9877
-------
```
- Units: 9 + 7 = 16 → write 6, carry 1
- Tens: 2 + 7 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 6 + 8 = 14 + 1 = 15 → write 5, carry 1
- Thousands: 6 + 9 = 15 + 1 = 16
Result: 16,506
---
#### 6. 3984 + 8329
```
3984
+ 8329
-------
```
- Units: 4 + 9 = 13 → write 3, carry 1
- Tens: 8 + 2 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 9 + 3 = 12 + 1 = 13 → write 3, carry 1
- Thousands: 3 + 8 = 11 + 1 = 12
Result: 12,313
---
✔ Summary of Direct Additions:
1. 2575 + 8765 = 11,340
2. 4321 + 8889 = 13,210
3. 6795 + 8769 = 15,564
4. 8669 + 5978 = 14,647
5. 6629 + 9877 = 16,506
6. 3984 + 8329 = 12,313
---
📝 Word Problems
---
#### a) NBA Game Attendance
> On Friday: 8,212 people
> On Sunday: 5,289 people
> Total = ?
Add:
```
8212
+ 5289
------
```
- Units: 2 + 9 = 11 → write 1, carry 1
- Tens: 1 + 8 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 2 + 2 = 4 + 1 = 5
- Thousands: 8 + 5 = 13
Answer: 13,501 people
✔ Total watching the NBA combined: 13,501
---
#### b) Superbowl LIV Attendance
> East side: 3,568
> West side: 2,547
> Total = ?
```
3568
+ 2547
------
```
- Units: 8 + 7 = 15 → write 5, carry 1
- Tens: 6 + 4 = 10 + 1 = 11 → write 1, carry 1
- Hundreds: 5 + 5 = 10 + 1 = 11 → write 1, carry 1
- Thousands: 3 + 2 = 5 + 1 = 6
Answer: 6,115 people
✔ Total attendees: 6,115
---
#### c) Flights at Lynden Pindling Airport
> December: 6,328 flights
> January: 3,779 flights
> Total = ?
```
6328
+ 3779
------
```
- Units: 8 + 9 = 17 → write 7, carry 1
- Tens: 2 + 7 = 9 + 1 = 10 → write 0, carry 1
- Hundreds: 3 + 7 = 10 + 1 = 11 → write 1, carry 1
- Thousands: 6 + 3 = 9 + 1 = 10
Answer: 10,107 flights
✔ Total flights in two months: 10,107
---
✔ Final Answers:
#### Direct Addition:
1. 11,340
2. 13,210
3. 15,564
4. 14,647
5. 16,506
6. 12,313
#### Word Problems:
a) 13,501 people
b) 6,115 people
c) 10,107 flights
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of 4 digit regrouping worksheet.