Addition worksheet for 4-digit numbers, designed for educational practice.
Math worksheet for adding 4-digit numbers with 25 problems, featuring a science-themed header with icons of a flask, radiation symbol, beaker, and mortar and pestle.
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Step-by-step solution for: 25) addition, adding 4-digit numbers Math Worksheets, Math ...
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Show Answer Key & Explanations
Step-by-step solution for: 25) addition, adding 4-digit numbers Math Worksheets, Math ...
The task involves solving a series of addition problems where each problem consists of adding two 4-digit numbers. Below, I will solve each addition problem step by step.
---
#### Row 1:
1. 5849 + 4706
```
5849
+ 4706
------
10555
```
- Add the units place: \(9 + 6 = 15\) (write 5, carry 1)
- Add the tens place: \(4 + 0 + 1 = 5\)
- Add the hundreds place: \(8 + 7 = 15\) (write 5, carry 1)
- Add the thousands place: \(5 + 4 + 1 = 10\) (write 10)
2. 9885 + 1007
```
9885
+ 1007
------
10892
```
- Add the units place: \(5 + 7 = 12\) (write 2, carry 1)
- Add the tens place: \(8 + 0 + 1 = 9\)
- Add the hundreds place: \(8 + 0 = 8\)
- Add the thousands place: \(9 + 1 = 10\) (write 10)
3. 2755 + 1742
```
2755
+ 1742
------
4497
```
- Add the units place: \(5 + 2 = 7\)
- Add the tens place: \(5 + 4 = 9\)
- Add the hundreds place: \(7 + 7 = 14\) (write 4, carry 1)
- Add the thousands place: \(2 + 1 + 1 = 4\)
4. 7610 + 8405
```
7610
+ 8405
------
16015
```
- Add the units place: \(0 + 5 = 5\)
- Add the tens place: \(1 + 0 = 1\)
- Add the hundreds place: \(6 + 4 = 10\) (write 0, carry 1)
- Add the thousands place: \(7 + 8 + 1 = 16\) (write 16)
5. 2740 + 1450
```
2740
+ 1450
------
4190
```
- Add the units place: \(0 + 0 = 0\)
- Add the tens place: \(4 + 5 = 9\)
- Add the hundreds place: \(7 + 4 = 11\) (write 1, carry 1)
- Add the thousands place: \(2 + 1 + 1 = 4\)
---
#### Row 2:
1. 2089 + 1364
```
2089
+ 1364
------
3453
```
- Add the units place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the tens place: \(8 + 6 + 1 = 15\) (write 5, carry 1)
- Add the hundreds place: \(0 + 3 + 1 = 4\)
- Add the thousands place: \(2 + 1 = 3\)
2. 3168 + 8149
```
3168
+ 8149
------
11317
```
- Add the units place: \(8 + 9 = 17\) (write 7, carry 1)
- Add the tens place: \(6 + 4 + 1 = 11\) (write 1, carry 1)
- Add the hundreds place: \(1 + 1 + 1 = 3\)
- Add the thousands place: \(3 + 8 = 11\) (write 11)
3. 6455 + 2396
```
6455
+ 2396
------
8851
```
- Add the units place: \(5 + 6 = 11\) (write 1, carry 1)
- Add the tens place: \(5 + 9 + 1 = 15\) (write 5, carry 1)
- Add the hundreds place: \(4 + 3 + 1 = 8\)
- Add the thousands place: \(6 + 2 = 8\)
4. 4645 + 8767
```
4645
+ 8767
------
13412
```
- Add the units place: \(5 + 7 = 12\) (write 2, carry 1)
- Add the tens place: \(4 + 6 + 1 = 11\) (write 1, carry 1)
- Add the hundreds place: \(6 + 7 + 1 = 14\) (write 4, carry 1)
- Add the thousands place: \(4 + 8 + 1 = 13\) (write 13)
5. 3627 + 2349
```
3627
+ 2349
------
5976
```
- Add the units place: \(7 + 9 = 16\) (write 6, carry 1)
- Add the tens place: \(2 + 4 + 1 = 7\)
- Add the hundreds place: \(6 + 3 = 9\)
- Add the thousands place: \(3 + 2 = 5\)
---
#### Row 3:
1. 5012 + 8091
```
5012
+ 8091
------
13103
```
- Add the units place: \(2 + 1 = 3\)
- Add the tens place: \(1 + 9 = 10\) (write 0, carry 1)
- Add the hundreds place: \(0 + 0 + 1 = 1\)
- Add the thousands place: \(5 + 8 = 13\) (write 13)
2. 5624 + 8047
```
5624
+ 8047
------
13671
```
- Add the units place: \(4 + 7 = 11\) (write 1, carry 1)
- Add the tens place: \(2 + 4 + 1 = 7\)
- Add the hundreds place: \(6 + 0 = 6\)
- Add the thousands place: \(5 + 8 = 13\) (write 13)
3. 1558 + 8843
```
1558
+ 8843
------
10401
```
- Add the units place: \(8 + 3 = 11\) (write 1, carry 1)
- Add the tens place: \(5 + 4 + 1 = 10\) (write 0, carry 1)
- Add the hundreds place: \(5 + 8 + 1 = 14\) (write 4, carry 1)
- Add the thousands place: \(1 + 8 + 1 = 10\) (write 10)
4. 3834 + 7392
```
3834
+ 7392
------
11226
```
- Add the units place: \(4 + 2 = 6\)
- Add the tens place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the hundreds place: \(8 + 3 + 1 = 12\) (write 2, carry 1)
- Add the thousands place: \(3 + 7 + 1 = 11\) (write 11)
5. 7908 + 5091
```
7908
+ 5091
------
12999
```
- Add the units place: \(8 + 1 = 9\)
- Add the tens place: \(0 + 9 = 9\)
- Add the hundreds place: \(9 + 0 = 9\)
- Add the thousands place: \(7 + 5 = 12\) (write 12)
---
#### Row 4:
1. 1795 + 9541
```
1795
+ 9541
------
11336
```
- Add the units place: \(5 + 1 = 6\)
- Add the tens place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the hundreds place: \(7 + 5 + 1 = 13\) (write 3, carry 1)
- Add the thousands place: \(1 + 9 + 1 = 11\) (write 11)
2. 6841 + 4515
```
6841
+ 4515
------
11356
```
- Add the units place: \(1 + 5 = 6\)
- Add the tens place: \(4 + 1 = 5\)
- Add the hundreds place: \(8 + 5 = 13\) (write 3, carry 1)
- Add the thousands place: \(6 + 4 + 1 = 11\) (write 11)
3. 1963 + 3210
```
1963
+ 3210
------
5173
```
- Add the units place: \(3 + 0 = 3\)
- Add the tens place: \(6 + 1 = 7\)
- Add the hundreds place: \(9 + 2 = 11\) (write 1, carry 1)
- Add the thousands place: \(1 + 3 + 1 = 5\)
4. 2326 + 2922
```
2326
+ 2922
------
5248
```
- Add the units place: \(6 + 2 = 8\)
- Add the tens place: \(2 + 2 = 4\)
- Add the hundreds place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the thousands place: \(2 + 2 + 1 = 5\)
5. 3310 + 9886
```
3310
+ 9886
------
13196
```
- Add the units place: \(0 + 6 = 6\)
- Add the tens place: \(1 + 8 = 9\)
- Add the hundreds place: \(3 + 8 = 11\) (write 1, carry 1)
- Add the thousands place: \(3 + 9 + 1 = 13\) (write 13)
---
#### Row 5:
1. 2240 + 1544
```
2240
+ 1544
------
3784
```
- Add the units place: \(0 + 4 = 4\)
- Add the tens place: \(4 + 4 = 8\)
- Add the hundreds place: \(2 + 5 = 7\)
- Add the thousands place: \(2 + 1 = 3\)
2. 9392 + 6242
```
9392
+ 6242
------
15634
```
- Add the units place: \(2 + 2 = 4\)
- Add the tens place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the hundreds place: \(3 + 2 + 1 = 6\)
- Add the thousands place: \(9 + 6 = 15\) (write 15)
3. 1314 + 1515
```
1314
+ 1515
------
2829
```
- Add the units place: \(4 + 5 = 9\)
- Add the tens place: \(1 + 1 = 2\)
- Add the hundreds place: \(3 + 5 = 8\)
- Add the thousands place: \(1 + 1 = 2\)
4. 3402 + 2502
```
3402
+ 2502
------
5904
```
- Add the units place: \(2 + 2 = 4\)
- Add the tens place: \(0 + 0 = 0\)
- Add the hundreds place: \(4 + 5 = 9\)
- Add the thousands place: \(3 + 2 = 5\)
5. 2520 + 9828
```
2520
+ 9828
------
12348
```
- Add the units place: \(0 + 8 = 8\)
- Add the tens place: \(2 + 2 = 4\)
- Add the hundreds place: \(5 + 8 = 13\) (write 3, carry 1)
- Add the thousands place: \(2 + 9 + 1 = 12\) (write 12)
---
```
Row 1: 10555, 10892, 4497, 16015, 4190
Row 2: 3453, 11317, 8851, 13412, 5976
Row 3: 13103, 13671, 10401, 11226, 12999
Row 4: 11336, 11356, 5173, 5248, 13196
Row 5: 3784, 15634, 2829, 5904, 12348
```
\[
\boxed{
\begin{array}{ccccc}
10555 & 10892 & 4497 & 16015 & 4190 \\
3453 & 11317 & 8851 & 13412 & 5976 \\
13103 & 13671 & 10401 & 11226 & 12999 \\
11336 & 11356 & 5173 & 5248 & 13196 \\
3784 & 15634 & 2829 & 5904 & 12348 \\
\end{array}
}
\]
---
Step-by-Step Solutions:
#### Row 1:
1. 5849 + 4706
```
5849
+ 4706
------
10555
```
- Add the units place: \(9 + 6 = 15\) (write 5, carry 1)
- Add the tens place: \(4 + 0 + 1 = 5\)
- Add the hundreds place: \(8 + 7 = 15\) (write 5, carry 1)
- Add the thousands place: \(5 + 4 + 1 = 10\) (write 10)
2. 9885 + 1007
```
9885
+ 1007
------
10892
```
- Add the units place: \(5 + 7 = 12\) (write 2, carry 1)
- Add the tens place: \(8 + 0 + 1 = 9\)
- Add the hundreds place: \(8 + 0 = 8\)
- Add the thousands place: \(9 + 1 = 10\) (write 10)
3. 2755 + 1742
```
2755
+ 1742
------
4497
```
- Add the units place: \(5 + 2 = 7\)
- Add the tens place: \(5 + 4 = 9\)
- Add the hundreds place: \(7 + 7 = 14\) (write 4, carry 1)
- Add the thousands place: \(2 + 1 + 1 = 4\)
4. 7610 + 8405
```
7610
+ 8405
------
16015
```
- Add the units place: \(0 + 5 = 5\)
- Add the tens place: \(1 + 0 = 1\)
- Add the hundreds place: \(6 + 4 = 10\) (write 0, carry 1)
- Add the thousands place: \(7 + 8 + 1 = 16\) (write 16)
5. 2740 + 1450
```
2740
+ 1450
------
4190
```
- Add the units place: \(0 + 0 = 0\)
- Add the tens place: \(4 + 5 = 9\)
- Add the hundreds place: \(7 + 4 = 11\) (write 1, carry 1)
- Add the thousands place: \(2 + 1 + 1 = 4\)
---
#### Row 2:
1. 2089 + 1364
```
2089
+ 1364
------
3453
```
- Add the units place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the tens place: \(8 + 6 + 1 = 15\) (write 5, carry 1)
- Add the hundreds place: \(0 + 3 + 1 = 4\)
- Add the thousands place: \(2 + 1 = 3\)
2. 3168 + 8149
```
3168
+ 8149
------
11317
```
- Add the units place: \(8 + 9 = 17\) (write 7, carry 1)
- Add the tens place: \(6 + 4 + 1 = 11\) (write 1, carry 1)
- Add the hundreds place: \(1 + 1 + 1 = 3\)
- Add the thousands place: \(3 + 8 = 11\) (write 11)
3. 6455 + 2396
```
6455
+ 2396
------
8851
```
- Add the units place: \(5 + 6 = 11\) (write 1, carry 1)
- Add the tens place: \(5 + 9 + 1 = 15\) (write 5, carry 1)
- Add the hundreds place: \(4 + 3 + 1 = 8\)
- Add the thousands place: \(6 + 2 = 8\)
4. 4645 + 8767
```
4645
+ 8767
------
13412
```
- Add the units place: \(5 + 7 = 12\) (write 2, carry 1)
- Add the tens place: \(4 + 6 + 1 = 11\) (write 1, carry 1)
- Add the hundreds place: \(6 + 7 + 1 = 14\) (write 4, carry 1)
- Add the thousands place: \(4 + 8 + 1 = 13\) (write 13)
5. 3627 + 2349
```
3627
+ 2349
------
5976
```
- Add the units place: \(7 + 9 = 16\) (write 6, carry 1)
- Add the tens place: \(2 + 4 + 1 = 7\)
- Add the hundreds place: \(6 + 3 = 9\)
- Add the thousands place: \(3 + 2 = 5\)
---
#### Row 3:
1. 5012 + 8091
```
5012
+ 8091
------
13103
```
- Add the units place: \(2 + 1 = 3\)
- Add the tens place: \(1 + 9 = 10\) (write 0, carry 1)
- Add the hundreds place: \(0 + 0 + 1 = 1\)
- Add the thousands place: \(5 + 8 = 13\) (write 13)
2. 5624 + 8047
```
5624
+ 8047
------
13671
```
- Add the units place: \(4 + 7 = 11\) (write 1, carry 1)
- Add the tens place: \(2 + 4 + 1 = 7\)
- Add the hundreds place: \(6 + 0 = 6\)
- Add the thousands place: \(5 + 8 = 13\) (write 13)
3. 1558 + 8843
```
1558
+ 8843
------
10401
```
- Add the units place: \(8 + 3 = 11\) (write 1, carry 1)
- Add the tens place: \(5 + 4 + 1 = 10\) (write 0, carry 1)
- Add the hundreds place: \(5 + 8 + 1 = 14\) (write 4, carry 1)
- Add the thousands place: \(1 + 8 + 1 = 10\) (write 10)
4. 3834 + 7392
```
3834
+ 7392
------
11226
```
- Add the units place: \(4 + 2 = 6\)
- Add the tens place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the hundreds place: \(8 + 3 + 1 = 12\) (write 2, carry 1)
- Add the thousands place: \(3 + 7 + 1 = 11\) (write 11)
5. 7908 + 5091
```
7908
+ 5091
------
12999
```
- Add the units place: \(8 + 1 = 9\)
- Add the tens place: \(0 + 9 = 9\)
- Add the hundreds place: \(9 + 0 = 9\)
- Add the thousands place: \(7 + 5 = 12\) (write 12)
---
#### Row 4:
1. 1795 + 9541
```
1795
+ 9541
------
11336
```
- Add the units place: \(5 + 1 = 6\)
- Add the tens place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the hundreds place: \(7 + 5 + 1 = 13\) (write 3, carry 1)
- Add the thousands place: \(1 + 9 + 1 = 11\) (write 11)
2. 6841 + 4515
```
6841
+ 4515
------
11356
```
- Add the units place: \(1 + 5 = 6\)
- Add the tens place: \(4 + 1 = 5\)
- Add the hundreds place: \(8 + 5 = 13\) (write 3, carry 1)
- Add the thousands place: \(6 + 4 + 1 = 11\) (write 11)
3. 1963 + 3210
```
1963
+ 3210
------
5173
```
- Add the units place: \(3 + 0 = 3\)
- Add the tens place: \(6 + 1 = 7\)
- Add the hundreds place: \(9 + 2 = 11\) (write 1, carry 1)
- Add the thousands place: \(1 + 3 + 1 = 5\)
4. 2326 + 2922
```
2326
+ 2922
------
5248
```
- Add the units place: \(6 + 2 = 8\)
- Add the tens place: \(2 + 2 = 4\)
- Add the hundreds place: \(3 + 9 = 12\) (write 2, carry 1)
- Add the thousands place: \(2 + 2 + 1 = 5\)
5. 3310 + 9886
```
3310
+ 9886
------
13196
```
- Add the units place: \(0 + 6 = 6\)
- Add the tens place: \(1 + 8 = 9\)
- Add the hundreds place: \(3 + 8 = 11\) (write 1, carry 1)
- Add the thousands place: \(3 + 9 + 1 = 13\) (write 13)
---
#### Row 5:
1. 2240 + 1544
```
2240
+ 1544
------
3784
```
- Add the units place: \(0 + 4 = 4\)
- Add the tens place: \(4 + 4 = 8\)
- Add the hundreds place: \(2 + 5 = 7\)
- Add the thousands place: \(2 + 1 = 3\)
2. 9392 + 6242
```
9392
+ 6242
------
15634
```
- Add the units place: \(2 + 2 = 4\)
- Add the tens place: \(9 + 4 = 13\) (write 3, carry 1)
- Add the hundreds place: \(3 + 2 + 1 = 6\)
- Add the thousands place: \(9 + 6 = 15\) (write 15)
3. 1314 + 1515
```
1314
+ 1515
------
2829
```
- Add the units place: \(4 + 5 = 9\)
- Add the tens place: \(1 + 1 = 2\)
- Add the hundreds place: \(3 + 5 = 8\)
- Add the thousands place: \(1 + 1 = 2\)
4. 3402 + 2502
```
3402
+ 2502
------
5904
```
- Add the units place: \(2 + 2 = 4\)
- Add the tens place: \(0 + 0 = 0\)
- Add the hundreds place: \(4 + 5 = 9\)
- Add the thousands place: \(3 + 2 = 5\)
5. 2520 + 9828
```
2520
+ 9828
------
12348
```
- Add the units place: \(0 + 8 = 8\)
- Add the tens place: \(2 + 2 = 4\)
- Add the hundreds place: \(5 + 8 = 13\) (write 3, carry 1)
- Add the thousands place: \(2 + 9 + 1 = 12\) (write 12)
---
Final Answers:
```
Row 1: 10555, 10892, 4497, 16015, 4190
Row 2: 3453, 11317, 8851, 13412, 5976
Row 3: 13103, 13671, 10401, 11226, 12999
Row 4: 11336, 11356, 5173, 5248, 13196
Row 5: 3784, 15634, 2829, 5904, 12348
```
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccccc}
10555 & 10892 & 4497 & 16015 & 4190 \\
3453 & 11317 & 8851 & 13412 & 5976 \\
13103 & 13671 & 10401 & 11226 & 12999 \\
11336 & 11356 & 5173 & 5248 & 13196 \\
3784 & 15634 & 2829 & 5904 & 12348 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4 digit addition worksheet with.