Addition Of 4 Digit With Regrouping

What is Vertical Addition?

Vertical addition is when we write numbers on top of each other, with each digit aligned in its column (ones, tens, hundreds, and thousands), and then add them column by column.

Here’s how we can explain it in a simple and detailed manner.

Example 1:

Problem:
Add 2345 and 1789.

Step 1: Write the numbers vertically, aligning each digit by place value (ones under ones, tens under tens, etc.).

  2345
+ 1789
------

Step 2: Start with the ones column (rightmost column).

• Ones column: 5 + 9 = 14.
• Write down 4 and carry over 1 to the tens column.

  2345
+ 1789
------
     4

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 8 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  2345
+ 1789
------
    34

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 7 = 10.
• Add the carried-over 1: 10 + 1 = 11.
• Write down 1 and carry over 1 to the thousands column.

  2345
+ 1789
------
   134

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 2 + 1 = 3.
• Add the carried-over 1: 3 + 1 = 4.
• Write down 4.

  2345
+ 1789
------
  4134

Final Answer:

  2345
+ 1789
------
  4134

Example 2:

Problem:
Add 4567 and 3456.

Step 1: Write the numbers vertically.

  4567
+ 3456
------

Step 2: Start with the ones column.

• Ones column: 7 + 6 = 13.
• Write down 3 and carry over 1 to the tens column.

  4567
+ 3456
------
     3

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 6 + 5 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  4567
+ 3456
------
    23

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 4 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  4567
+ 3456
------
   023

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 3 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  4567
+ 3456
------
  8023

Final Answer:

  4567
+ 3456
------
  8023

Example 3:

Problem:
Add 7894 and 2361.

Step 1: Write the numbers vertically.

  7894
+ 2361
------

Step 2: Start with the ones column.

• Ones column: 4 + 1 = 5.
• Write down 5.

  7894
+ 2361
------
     5

Step 3: Move to the tens column.

• Tens column: 9 + 6 = 15.
• Write down 5 and carry over 1 to the hundreds column.

  7894
+ 2361
------
    55

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 3 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the thousands column.

  7894
+ 2361
------
   255

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 7 + 2 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  7894
+ 2361
------
  0255

• Carry over: 1

Step 6: Write the carry-over in the ten-thousands column.

• Ten-thousands column: 1.

Final Answer:

  7894
+ 2361
------
 10255

Example 4:

Problem:
Add 5643 and 2879.

Step 1: Write the numbers vertically.

  5643
+ 2879
------

Step 2: Start with the ones column.

• Ones column: 3 + 9 = 12.
• Write down 2 and carry over 1 to the tens column.

  5643
+ 2879
------
     2

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 7 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  5643
+ 2879
------
    22

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 6 + 8 = 14.
• Add the carried-over 1: 14 + 1 = 151.
• Write down 5 and carry over 1 to the thousands column.

  5643
+ 2879
------
   522

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 5 + 2 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  5643
+ 2879
------
  8522

Final Answer:

  5643
+ 2879
------
  8522

Example 5:

Problem:
Add 4256 and 3789.

Step 1: Write the numbers vertically.

  4256
+ 3789
------

Step 2: Start with the ones column.

• Ones column: 6 + 9 = 15.
• Write down 5 and carry over 1 to the tens column.

  4256
+ 3789
------
     5

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 5 + 8 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the hundreds column.

  4256
+ 3789
------
    45

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 2 + 7 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  4256
+ 3789
------
   045

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 3 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  4256
+ 3789
------
  8045

Final Answer:

  4256
+ 3789
------
  8045

Example 6:

Problem:
Add 5617 and 4823.

Step 1: Write the numbers vertically.

  5617
+ 4823
------

Step 2: Start with the ones column.

• Ones column: 7 + 3 = 10.
• Write down 0 and carry over 1 to the tens column.

  5617
+ 4823
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 2 = 3.
• Add the carried-over 1: 3 + 1 = 4.
• Write down 4.

  5617
+ 4823
------
    40

Step 4: Move to the hundreds column.

• Hundreds column: 6 + 8 = 14.
• Write down 4 and carry over 1 to the thousands column.

  5617
+ 4823
------
   440

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 5 + 4 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  5617
+ 4823
------
  10440

• Carry over: 1

Final Answer:

  5617
+ 4823
------
 10440

Example 7:

Problem:
Add 6742 and 1589.

Step 1: Write the numbers vertically.

  6742
+ 1589
------

Step 2: Start with the ones column.

• Ones column: 2 + 9 = 11.
• Write down 1 and carry over 1 to the tens column.

  6742
+ 1589
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 8 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  6742
+ 1589
------
    31

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 7 + 5 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the thousands column.

  6742
+ 1589
------
   331

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 6 + 1 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  6742
+ 1589
------
  8331

Final Answer:

  6742
+ 1589
------
  8331

Example 8:

Problem:
Add 7431 and 2894.

Step 1: Write the numbers vertically.

  7431
+ 2894
------

Step 2: Start with the ones column.

• Ones column: 1 + 4 = 5.
• Write down 5.

  7431
+ 2894
------
     5

Step 3: Move to the tens column.

• Tens column: 3 + 9 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  7431
+ 2894
------
    25

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 4 + 8 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the thousands column.

  7431
+ 2894
------
   325

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 7 + 2 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  7431
+ 2894
------
  0325

• Carry over: 1

Final Answer:

  7431
+ 2894
------
 10325

Example 9:

Problem:
Add 8321 and 6542.

Step 1: Write the numbers vertically.

  8321
+ 6542
------

Step 2: Start with the ones column.

• Ones column: 1 + 2 = 3.
• Write down 3.

  8321
+ 6542
------
     3

Step 3: Move to the tens column.

• Tens column: 2 + 4 = 6.
• Write down 6.

  8321
+ 6542
------
    63

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 5 = 8.
• Write down 8.

  8321
+ 6542
------
   863

Step 5: Move to the thousands column.

• Thousands column: 8 + 6 = 14.
• Write down 4 and carry over 1 to the ten-thousands column.

  8321
+ 6542
------
  4863

• Carry over: 1

Step 6: Write the carry-over in the ten-thousands column.

• Ten-thousands column: 1.

Final Answer:

  8321
+ 6542
------
 14863

Example 10:

Problem:
Add 4999 and 5231.

Step 1: Write the numbers vertically.

  4999
+ 5231
------

Step 2: Start with the ones column.

• Ones column: 9 + 1 = 10.
• Write down 0 and carry over 1 to the tens column.

  4999
+ 5231
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 9 + 3 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  4999
+ 5231
------
    30

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 9 + 2 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the thousands column.

  4999
+ 5231
------
   230

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 5 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  4999
+ 5231
------
  0230

• Carry over: 1

Final Answer:

  4999
+ 5231
------
 10230

Example 11:

Problem:
Add 4832 and 2567.

Step 1: Write the numbers vertically.

  4832
+ 2567
------

Step 2: Start with the ones column.

• Ones column: 2 + 7 = 9.
• Write down 9.

  4832
+ 2567
------
     9

Step 3: Move to the tens column.

• Tens column: 3 + 6 = 9.
• Write down 9.

  4832
+ 2567
------
    99

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 5 = 13.
• Write down 3 and carry over 1 to the thousands column.

  4832
+ 2567
------
   399

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  4832
+ 2567
------
  7399

Final Answer:

  4832
+ 2567
------
  7399

Example 12:

Problem:
Add 5210 and 4386.

Step 1: Write the numbers vertically.

  5210
+ 4386
------

Step 2: Start with the ones column.

• Ones column: 0 + 6 = 6.
• Write down 6.

  5210
+ 4386
------
     6

Step 3: Move to the tens column.

• Tens column: 1 + 8 = 9.
• Write down 9.

  5210
+ 4386
------
    96

Step 4: Move to the hundreds column.

• Hundreds column: 2 + 3 = 5.
• Write down 5.

  5210
+ 4386
------
   596

Step 5: Move to the thousands column.

• Thousands column: 5 + 4 = 9.
• Write down 9.

  5210
+ 4386
------
  9596

Final Answer:

  5210
+ 4386
------
  9596

Example 13:

Problem:
Add 6754 and 3298.

Step 1: Write the numbers vertically.

  6754
+ 3298
------

Step 2: Start with the ones column.

• Ones column: 4 + 8 = 12.
• Write down 2 and carry over 1 to the tens column.

  6754
+ 3298
------
     2

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 5 + 9 = 14.
• Add the carried-over 1: 14 + 1 = 15.
• Write down 5 and carry over 1 to the hundreds column.

  6754
+ 3298
------
    52

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 7 + 2 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  6754
+ 3298
------
   052

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 6 + 3 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  6754
+ 3298
------
  0052

• Carry over: 1

Final Answer:

  6754
+ 3298
------
 10052

Example 14:

Problem:
Add 8445 and 1958.

Step 1: Write the numbers vertically.

  8445
+ 1958
------

Step 2: Start with the ones column.

• Ones column: 5 + 8 = 13.
• Write down 3 and carry over 1 to the tens column.

  8445
+ 1958
------
     3

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 5 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  8445
+ 1958
------
    03

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 4 + 9 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the thousands column.

  8445
+ 1958
------
   403

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 8 + 1 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  8445
+ 1958
------
  0403

• Carry over: 1

Final Answer:

  8445
+ 1958
------
 10403

Example 15:

Problem:
Add 5372 and 4689.

Step 1: Write the numbers vertically.

  5372
+ 4689
------

Step 2: Start with the ones column.

• Ones column: 2 + 9 = 11.
• Write down 1 and carry over 1 to the tens column.

  5372
+ 4689
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 7 + 8 = 15.
• Add the carried-over 1: 15 + 1 = 16.
• Write down 6 and carry over 1 to the hundreds column.

  5372
+ 4689
------
    61

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 6 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  5372
+ 4689
------
   061

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 5 + 4 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  5372
+ 4689
------
  0061

• Carry over: 1

Final Answer:

  5372
+ 4689
------
 10061

Example 16:

Problem:
Add 7214 and 3876.

Step 1: Write the numbers vertically.

  7214
+ 3876
------

Step 2: Start with the ones column.

• Ones column: 4 + 6 = 10.
• Write down 0 and carry over 1 to the tens column.

  7214
+ 3876
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 7 = 8.
• Add the carried-over 1: 8 + 1 = 9.
• Write down 9.

  7214
+ 3876
------
    90

Step 4: Move to the hundreds column.

• Hundreds column: 2 + 8 = 10.
• Write down 0 and carry over 1 to the thousands column.

  7214
+ 3876
------
   090

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 7 + 3 = 10.
• Add the carried-over 1: 10 + 1 = 11.
• Write down 1 and carry over 1 to the ten-thousands column.

  7214
+ 3876
------
 10990

• Carry over: 1

Final Answer:

  7214
+ 3876
------
 10990

Example 17:

Problem:
Add 4625 and 7398.

Step 1: Write the numbers vertically.

  4625
+ 7398
------

Step 2: Start with the ones column.

• Ones column: 5 + 8 = 13.
• Write down 3 and carry over 1 to the tens column.

  4625
+ 7398
------
     3

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 2 + 9 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  4625
+ 7398
------
    23

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 6 + 3 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  4625
+ 7398
------
   023

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 7 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the ten-thousands column.

  4625
+ 7398
------
  2023

• Carry over: 1

Final Answer:

  4625
+ 7398
------
 12023

Example 18:

Problem:
Add 3154 and 2847.

Step 1: Write the numbers vertically.

  3154
+ 2847
------

Step 2: Start with the ones column.

• Ones column: 4 + 7 = 11.
• Write down 1 and carry over 1 to the tens column.

  3154
+ 2847
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 5 + 4 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  3154
+ 2847
------
    01

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 1 + 8 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  3154
+ 2847
------
   001

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 3 + 2 = 5.
• Add the carried-over 1: 5 + 1 = 6.
• Write down 6.

  3154
+ 2847
------
  6001

Final Answer:

  3154
+ 2847
------
  6001

Example 19:

Problem:
Add 9284 and 1547.

Step 1: Write the numbers vertically.

  9284
+ 1547
------

Step 2: Start with the ones column.

• Ones column: 4 + 7 = 11.
• Write down 1 and carry over 1 to the tens column.

  9284
+ 1547
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 8 + 4 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  9284
+ 1547
------
    31

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 2 + 5 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  9284
+ 1547
------
   831

Step 5: Move to the thousands column.

• Thousands column: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  9284
+ 1547
------
 0831

• Carry over: 1

Final Answer:

  9284
+ 1547
------
 10831

Example 20:

Problem:
Add 6429 and 3578.

Step 1: Write the numbers vertically.

  6429
+ 3578
------

Step 2: Start with the ones column.

• Ones column: 9 + 8 = 17.
• Write down 7 and carry over 1 to the tens column.

  6429
+ 3578
------
     7

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 2 + 7 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  6429
+ 3578
------
    07

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 4 + 5 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  6429
+ 3578
------
   007

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 6 + 3 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  6429
+ 3578
------
  0007

• Carry over: 1

Final Answer:

  6429
+ 3578
------
 10007

Example 21:

Problem:
Add 4312 and 5789.

Step 1: Write the numbers vertically.

  4312
+ 5789
------

Step 2: Start with the ones column.

• Ones column: 2 + 9 = 11.
• Write down 1 and carry over 1 to the tens column.

  4312
+ 5789
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 8 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  4312
+ 5789
------
    01

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 7 = 10.
• Add the carried-over 1: 10 + 1 = 11.
• Write down 1 and carry over 1 to the thousands column.

  4312
+ 5789
------
   101

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 5 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  4312
+ 5789
------
  0101

• Carry over: 1

Final Answer:

  4312
+ 5789
------
 10101

Example 22:

Problem:
Add 5691 and 2784.

Step 1: Write the numbers vertically.

  5691
+ 2784
------

Step 2: Start with the ones column.

• Ones column: 1 + 4 = 5.
• Write down 5.

  5691
+ 2784
------
     5

Step 3: Move to the tens column.

• Tens column: 9 + 8 = 17.
• Write down 7 and carry over 1 to the hundreds column.

  5691
+ 2784
------
    75

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 6 + 7 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the thousands column.

  5691
+ 2784
------
   475

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 5 + 2 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  5691
+ 2784
------
  8475

Final Answer:

  5691
+ 2784
------
  8475

Example 23:

Problem:
Add 7943 and 6842.

Step 1: Write the numbers vertically.

  7943
+ 6842
------

Step 2: Start with the ones column.

• Ones column: 3 + 2 = 5.
• Write down 5.

  7943
+ 6842
------
     5

Step 3: Move to the tens column.

• Tens column: 4 + 4 = 8.
• Write down 8.

  7943
+ 6842
------
    85

Step 4: Move to the hundreds column.

• Hundreds column: 9 + 8 = 17.
• Write down 7 and carry over 1 to the thousands column.

  7943
+ 6842
------
   785

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 7 + 6 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the ten-thousands column.

  7943
+ 6842
------
  4785

• Carry over: 1

Final Answer:

  7943
+ 6842
------
 14785

Example 24:

Problem:
Add 5523 and 1398.

Step 1: Write the numbers vertically.

  5523
+ 1398
------

Step 2: Start with the ones column.

• Ones column: 3 + 8 = 11.
• Write down 1 and carry over 1 to the tens column.

  5523
+ 1398
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 2 + 9 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  5523
+ 1398
------
    21

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 3 = 8.
• Add the carried-over 1: 8 + 1 = 9.
• Write down 9.

  5523
+ 1398
------
   921

Step 5: Move to the thousands column.

• Thousands column: 5 + 1 = 6.
• Write down 6.

  5523
+ 1398
------
  6921

Final Answer:

  5523
+ 1398
------
  6921

Example 25:

Problem:
Add 7381 and 2946.

Step 1: Write the numbers vertically.

  7381
+ 2946
------

Step 2: Start with the ones column.

• Ones column: 1 + 6 = 7.
• Write down 7.

  7381
+ 2946
------
     7

Step 3: Move to the tens column.

• Tens column: 8 + 4 = 12. Write down 2 and carry over 1 to the hundreds column.

  7381
+ 2946
------
    27

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 9 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the thousands column.

  7381
+ 2946
------
   327

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 7 + 2 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  7381
+ 2946
------
  0327

• Carry over: 1

Final Answer:

  7381
+ 2946
------
 10327

Example 26:

Problem:
Add 4856 and 2379.

Step 1: Write the numbers vertically.

  4856
+ 2379
------

Step 2: Start with the ones column.

• Ones column: 6 + 9 = 15.
• Write down 5 and carry over 1 to the tens column.

  4856
+ 2379
------
     5

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 5 + 7 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  4856
+ 2379
------
    35

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 3 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the thousands column.

  4856
+ 2379
------
   235

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  4856
+ 2379
------
  7235

Final Answer:

  4856
+ 2379
------
  7235

Example 27:

Problem:
Add 9021 and 4863.

Step 1: Write the numbers vertically.

  9021
+ 4863
------

Step 2: Start with the ones column.

• Ones column: 1 + 3 = 4.
• Write down 4.

  9021
+ 4863
------
     4

Step 3: Move to the tens column.

• Tens column: 2 + 6 = 8.
• Write down 8.

  9021
+ 4863
------
    84

Step 4: Move to the hundreds column.

• Hundreds column: 0 + 8 = 8.
• Write down 8.

  9021
+ 4863
------
   884

Step 5: Move to the thousands column.

• Thousands column: 9 + 4 = 13.
• Write down 3 and carry over 1 to the ten-thousands column.

  9021
+ 4863
------
 13884

• Carry over: 1

Final Answer:

  9021
+ 4863
------
 13884

Example 28:

Problem:
Add 2514 and 3687.

Step 1: Write the numbers vertically.

  2514
+ 3687
------

Step 2: Start with the ones column.

• Ones column: 4 + 7 = 11.
• Write down 1 and carry over 1 to the tens column.

  2514
+ 3687
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 8 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  2514
+ 3687
------
    01

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 6 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the thousands column.

  2514
+ 3687
------
   201

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 2 + 3 = 5.
• Add the carried-over 1: 5 + 1 = 6.
• Write down 6.

  2514
+ 3687
------
  6201

Final Answer:

  2514
+ 3687
------
  6201

Example 29:

Problem:
Add 7123 and 8456.

Step 1: Write the numbers vertically.

  7123
+ 8456
------

Step 2: Start with the ones column.

• Ones column: 3 + 6 = 9.
• Write down 9.

  7123
+ 8456
------
     9

Step 3: Move to the tens column.

• Tens column: 2 + 5 = 7.
• Write down 7.

  7123
+ 8456
------
    79

Step 4: Move to the hundreds column.

• Hundreds column: 1 + 4 = 5.
• Write down 5.

  7123
+ 8456
------
   579

Step 5: Move to the thousands column.

• Thousands column: 7 + 8 = 15.
• Write down 5 and carry over 1 to the ten-thousands column.

  7123
+ 8456
------
  1579

• Carry over: 1

Final Answer:

  7123
+ 8456
------
 15579

Example 30:

Problem:
Add 3597 and 2845.

Step 1: Write the numbers vertically.

  3597
+ 2845
------

Step 2: Start with the ones column.

• Ones column: 7 + 5 = 12.
• Write down 2 and carry over 1 to the tens column.

  3597
+ 2845
------
     2

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 9 + 4 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the hundreds column.

  3597
+ 2845
------
    42

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 8 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the thousands column.

  3597
+ 2845
------
   442

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 3 + 2 = 5.
• Add the carried-over 1: 5 + 1 = 6.
• Write down 6.

  3597
+ 2845
------
  6442

Final Answer:

  3597
+ 2845
------
  6442

Example 31:

Problem:
Add 3145 and 2876.

Step 1: Write the numbers vertically.

  3145
+ 2876
------

Step 2: Start with the ones column.

• Ones column: 5 + 6 = 11.
• Write down 1 and carry over 1 to the tens column.

  3145
+ 2876
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 7 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  3145
+ 2876
------
    21

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 1 + 8 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  3145
+ 2876
------
   021

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 3 + 2 = 5.
• Add the carried-over 1: 5 + 1 = 6.
• Write down 6.

  3145
+ 2876
------
  6021

Final Answer:

  3145
+ 2876
------
  6021

Example 32:

Problem:
Add 8754 and 1296.

Step 1: Write the numbers vertically.

  8754
+ 1296
------

Step 2: Start with the ones column.

• Ones column: 4 + 6 = 10.
• Write down 0 and carry over 1 to the tens column.

  8754
+ 1296
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 5 + 9 = 14.
• Add the carried-over 1: 14 + 1 = 15.
• Write down 5 and carry over 1 to the hundreds column.

  8754
+ 1296
------
    50

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 7 + 2 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the thousands column.

  8754
+ 1296
------
   050

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 8 + 1 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  8754
+ 1296
------
  09050

• Carry over: 1

Final Answer:

  8754
+ 1296
------
  10050

Example 33:

Problem:
Add 4893 and 2475.

Step 1: Write the numbers vertically.

  4893
+ 2475
------

Step 2: Start with the ones column.

• Ones column: 3 + 5 = 8.
• Write down 8.

  4893
+ 2475
------
     8

Step 3: Move to the tens column.

• Tens column: 9 + 7 = 16.
• Write down 6 and carry over 1 to the hundreds column.

  4893
+ 2475
------
    68

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 4 = 12.
• Add the carried-over 1: 12 + 1 = 13.
• Write down 3 and carry over 1 to the thousands column.

  4893
+ 2475
------
   368

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  4893
+ 2475
------
  7368

Final Answer:

  4893
+ 2475
------
  7368

Example 34:

Problem:
Add 6274 and 3891.

Step 1: Write the numbers vertically.

  6274
+ 3891
------

Step 2: Start with the ones column.

• Ones column: 4 + 1 = 5.
• Write down 5.

  6274
+ 3891
------
     5

Step 3: Move to the tens column.

• Tens column: 7 + 9 = 16.
• Write down 6 and carry over 1 to the hundreds column.

  6274
+ 3891
------
    65

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 2 + 8 = 10.
• Add the carried-over 1: 10 + 1 = 11.
• Write down 1 and carry over 1 to the thousands column.

  6274
+ 3891
------
   165

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 6 + 3 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the ten-thousands column.

  6274
+ 3891
------
  0165

• Carry over: 1

Final Answer:

  6274
+ 3891
------
 10165

Example 35:

Problem:
Add 3548 and 4729.

Step 1: Write the numbers vertically.

  3548
+ 4729
------

Step 2: Start with the ones column.

• Ones column: 8 + 9 = 17.
• Write down 7 and carry over 1 to the tens column.

  3548
+ 4729
------
     7

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  3548
+ 4729
------
    77

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 7 = 12.
• Write down 2 and carry over 1 to the thousands column.

  3548
+ 4729
------
   277

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 3 + 4 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  3548
+ 4729
------
  8277

Final Answer:

  3548
+ 4729
------
  8277

Example 36:

Problem:
Add 4816 and 2754.

Step 1: Write the numbers vertically.

  4816
+ 2754
------

Step 2: Start with the ones column.

• Ones column: 6 + 4 = 10.
• Write down 0 and carry over 1 to the tens column.

  4816
+ 2754
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 5 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  4816
+ 2754
------
    70

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 7 = 15.
• Write down 5 and carry over 1 to the thousands column.

  4816
+ 2754
------
   570

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  4816
+ 2754
------
  7570

Final Answer:

  4816
+ 2754
------
  7570

Example 37:

Problem:
Add 3892 and 5743.

Step 1: Write the numbers vertically.

  3892
+ 5743
------

Step 2: Start with the ones column.

• Ones column: 2 + 3 = 5.
• Write down 5.

  3892
+ 5743
------
     5

Step 3: Move to the tens column.

• Tens column: 9 + 4 = 13.
• Write down 3 and carry over 1 to the hundreds column.

  3892
+ 5743
------
    35

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 8 + 7 = 15.
• Add the carried-over 1: 15 + 1 = 16.
• Write down 6 and carry over 1 to the thousands column.

  3892
+ 5743
------
   635

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 3 + 5 = 8.
• Add the carried-over 1: 8 + 1 = 9.
• Write down 9.

  3892
+ 5743
------
  9635

Final Answer:

  3892
+ 5743
------
  9635

Example 38:

Problem:
Add 7184 and 2395.

Step 1: Write the numbers vertically.

  7184
+ 2395
------

Step 2: Start with the ones column.

• Ones column: 4 + 5 = 9.
• Write down 9.

  7184
+ 2395
------
     9

Step 3: Move to the tens column.

• Tens column: 8 + 9 = 17.
• Write down 7 and carry over 1 to the hundreds column.

  7184
+ 2395
------
    79

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 1 + 3 = 4.
• Add the carried-over 1: 4 + 1 = 5.
• Write down 5.

  7184
+ 2395
------
   579

Step 5: Move to the thousands column.

• Thousands column: 7 + 2 = 9.
• Write down 9.

  7184
+ 2395
------
  9579

Final Answer:

  7184
+ 2395
------
  9579

Example 39:

Problem:
Add 2547 and 3812.

Step 1: Write the numbers vertically.

  2547
+ 3812
------

Step 2: Start with the ones column.

• Ones column: 7 + 2 = 9.
• Write down 9.

  2547
+ 3812
------
     9

Step 3: Move to the tens column.

• Tens column: 4 + 1 = 5.
• Write down 5.

  2547
+ 3812
------
    59

Step 4: Move to the hundreds column.

• Hundreds column: 5 + 8 = 13.
• Write down 3 and carry over 1 to the thousands column.

  2547
+ 3812
------
   359

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 2 + 3 = 5.
• Add the carried-over 1: 5 + 1 = 6.
• Write down 6.

  2547
+ 3812
------
  6359

Final Answer:

  2547
+ 3812
------
  6359

Example 40:

Problem:
Add 4067 and 5483.

Step 1: Write the numbers vertically.

  4067
+ 5483
------

Step 2: Start with the ones column.

• Ones column: 7 + 3 = 10.
• Write down 0 and carry over 1 to the tens column.

  4067
+ 5483
------
     0

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 6 + 8 = 14.
• Add the carried-over 1: 14 + 1 = 15.
• Write down 5 and carry over 1 to the hundreds column.

  4067
+ 5483
------
    50

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 0 + 4 = 4.
• Add the carried-over 1: 4 + 1 = 5.
• Write down 5.

  4067
+ 5483
------
   550

Step 5: Move to the thousands column.

• Thousands column: 4 + 5 = 9.
• Write down 9.

  4067
+ 5483
------
  9550

Final Answer:

  4067
+ 5483
------
  9550

Example 41:

Problem:
Add 5643 and 2178.

Step 1: Write the numbers vertically.

  5643
+ 2178
------

Step 2: Start with the ones column.

• Ones column: 3 + 8 = 11.
• Write down 1 and carry over 1 to the tens column.

  5643
+ 2178
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 7 = 11.
• Add the carried-over 1: 11 + 1 = 12.
• Write down 2 and carry over 1 to the hundreds column.

  5643
+ 2178
------
    21

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 6 + 1 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  5643
+ 2178
------
   821

Step 5: Move to the thousands column.

• Thousands column: 5 + 2 = 7.
• Write down 7.

  5643
+ 2178
------
  7821

Final Answer:

  5643
+ 2178
------
  7821

Example 42:

Problem:
Add 8349 and 1627.

Step 1: Write the numbers vertically.

  8349
+ 1627
------

Step 2: Start with the ones column.

• Ones column: 9 + 7 = 16.
• Write down 6 and carry over 1 to the tens column.

  8349
+ 1627
------
     6

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 4 + 2 = 6.
• Add the carried-over 1: 6 + 1 = 7.
• Write down 7.

  8349
+ 1627
------
    76

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 6 = 9.
• Write down 9.

  8349
+ 1627
------
   976

Step 5: Move to the thousands column.

• Thousands column: 8 + 1 = 9.
• Write down 9.

  8349
+ 1627
------
  9976

Final Answer:

  8349
+ 1627
------
  9976

Example 43:

Problem:
Add 5924 and 3487.

Step 1: Write the numbers vertically.

  5924
+ 3487
------

Step 2: Start with the ones column.

• Ones column: 4 + 7 = 11.
• Write down 1 and carry over 1 to the tens column.

  5924
+ 3487
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 2 + 8 = 10.
• Add the carried-over 1: 10 + 1 = 11.
• Write down 1 and carry over 1 to the hundreds column.

  5924
+ 3487
------
    11

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 9 + 4 = 13.
• Add the carried-over 1: 13 + 1 = 14.
• Write down 4 and carry over 1 to the thousands column.

  5924
+ 3487
------
   411

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 5 + 3 = 8.
• Add the carried-over 1: 8 + 1 = 9.
• Write down 9.

  5924
+ 3487
------
  9411

Final Answer:

  5924
+ 3487
------
  9411

Example 44:

Problem:
Add 4721 and 3678.

Step 1: Write the numbers vertically.

  4721
+ 3678
------

Step 2: Start with the ones column.

• Ones column: 1 + 8 = 9.
• Write down 9.

  4721
+ 3678
------
     9

Step 3: Move to the tens column.

• Tens column: 2 + 7 = 9.
• Write down 9.

  4721
+ 3678
------
    99

Step 4: Move to the hundreds column.

• Hundreds column: 7 + 6 = 13.
• Write down 3 and carry over 1 to the thousands column.

  4721
+ 3678
------
   399

• Carry over: 1

Step 5: Move to the thousands column.

• Thousands column: 4 + 3 = 7.
• Add the carried-over 1: 7 + 1 = 8.
• Write down 8.

  4721
+ 3678
------
  8399

Final Answer:

  4721
+ 3678
------
  8399

Example 45:

Problem:
Add 7312 and 4589.

Step 1: Write the numbers vertically.

  7312
+ 4589
------

Step 2: Start with the ones column.

• Ones column: 2 + 9 = 11.
• Write down 1 and carry over 1 to the tens column.

  7312
+ 4589
------
     1

• Carry over: 1

Step 3: Move to the tens column.

• Tens column: 1 + 8 = 9.
• Add the carried-over 1: 9 + 1 = 10.
• Write down 0 and carry over 1 to the hundreds column.

  7312
+ 4589
------
    01

• Carry over: 1

Step 4: Move to the hundreds column.

• Hundreds column: 3 + 5 = 8.
• Add the carried-over 1: 8 + 1 = 9.
• Write down 9.

  7312
+ 4589
------
   901

Step 5: Move to the thousands column.

• Thousands column: 7 + 4 = 11.
• Write down 1 and carry over 1 to the ten-thousands column.

  7312
+ 4589
------
  1901

• Carry over: 1

Final Answer:

  7312
+ 4589
------
 11901

These examples cover different cases of four-digit vertical addition. The key steps include aligning the digits properly, adding each column, carrying over when necessary, and ensuring all digits are added correctly.