Column addition
Add vertically, with or without regrouping.
Practice + answer key · 2 pages
Worksheet settings12 questions · 2 columns · A4
Paper size
Arithmetic
What you’ll practice
Add two whole numbers using column alignment and correct carrying where needed.
Line up the ones, tens and hundreds, then add from right to left. Choose whether the questions need regrouping, and use the on-page steps to check each carry.
How this skill works
Write ones under ones, tens under tens and hundreds under hundreds. Begin at the ones column so any carry reaches the next column before it is added.
A column total of ten or more is split into a written digit and a carry. For example, 15 means write 5 in the current column and carry 1 to the next.
Worked example
Calculate 157 + 268.
- Ones: 7 + 8 = 15; write 5 and carry 1.
- Tens: 5 + 6 + 1 = 12; write 2 and carry 1.
- Hundreds: 1 + 2 + 1 = 4. The total is 425.
Answer: 425
Teaching notes
- Keep the numbers right-aligned even when their digit counts differ.
- Include the carried digit when adding the next column.
Practice questions
- Calculate 174 + 233.
- Calculate 109 + 148.
- Calculate 159 + 162.
- Calculate 272 + 175.
- Calculate 189 + 150.
- Calculate 205 + 202.
- Calculate 286 + 142.
- Calculate 226 + 265.
- Calculate 197 + 255.
- Calculate 296 + 167.
- Calculate 153 + 246.
- Calculate 164 + 287.
Answers and steps
- 407
- In the ones column: 4 + 3 + 0 carried in = 7. Write 7 and carry 0 to the next column.
- In the tens column: 7 + 3 + 0 carried in = 10. Write 0 and carry 1 to the next column.
- In the hundreds column: 1 + 2 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 174 + 233 = 407.
- 257
- In the ones column: 9 + 8 + 0 carried in = 17. Write 7 and carry 1 to the next column.
- In the tens column: 0 + 4 + 1 carried in = 5. Write 5 and carry 0 to the next column.
- In the hundreds column: 1 + 1 + 0 carried in = 2. Write 2 and carry 0 to the next column.
- Therefore 109 + 148 = 257.
- 321
- In the ones column: 9 + 2 + 0 carried in = 11. Write 1 and carry 1 to the next column.
- In the tens column: 5 + 6 + 1 carried in = 12. Write 2 and carry 1 to the next column.
- In the hundreds column: 1 + 1 + 1 carried in = 3. Write 3 and carry 0 to the next column.
- Therefore 159 + 162 = 321.
- 447
- In the ones column: 2 + 5 + 0 carried in = 7. Write 7 and carry 0 to the next column.
- In the tens column: 7 + 7 + 0 carried in = 14. Write 4 and carry 1 to the next column.
- In the hundreds column: 2 + 1 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 272 + 175 = 447.
- 339
- In the ones column: 9 + 0 + 0 carried in = 9. Write 9 and carry 0 to the next column.
- In the tens column: 8 + 5 + 0 carried in = 13. Write 3 and carry 1 to the next column.
- In the hundreds column: 1 + 1 + 1 carried in = 3. Write 3 and carry 0 to the next column.
- Therefore 189 + 150 = 339.
- 407
- In the ones column: 5 + 2 + 0 carried in = 7. Write 7 and carry 0 to the next column.
- In the tens column: 0 + 0 + 0 carried in = 0. Write 0 and carry 0 to the next column.
- In the hundreds column: 2 + 2 + 0 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 205 + 202 = 407.
- 428
- In the ones column: 6 + 2 + 0 carried in = 8. Write 8 and carry 0 to the next column.
- In the tens column: 8 + 4 + 0 carried in = 12. Write 2 and carry 1 to the next column.
- In the hundreds column: 2 + 1 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 286 + 142 = 428.
- 491
- In the ones column: 6 + 5 + 0 carried in = 11. Write 1 and carry 1 to the next column.
- In the tens column: 2 + 6 + 1 carried in = 9. Write 9 and carry 0 to the next column.
- In the hundreds column: 2 + 2 + 0 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 226 + 265 = 491.
- 452
- In the ones column: 7 + 5 + 0 carried in = 12. Write 2 and carry 1 to the next column.
- In the tens column: 9 + 5 + 1 carried in = 15. Write 5 and carry 1 to the next column.
- In the hundreds column: 1 + 2 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 197 + 255 = 452.
- 463
- In the ones column: 6 + 7 + 0 carried in = 13. Write 3 and carry 1 to the next column.
- In the tens column: 9 + 6 + 1 carried in = 16. Write 6 and carry 1 to the next column.
- In the hundreds column: 2 + 1 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 296 + 167 = 463.
- 399
- In the ones column: 3 + 6 + 0 carried in = 9. Write 9 and carry 0 to the next column.
- In the tens column: 5 + 4 + 0 carried in = 9. Write 9 and carry 0 to the next column.
- In the hundreds column: 1 + 2 + 0 carried in = 3. Write 3 and carry 0 to the next column.
- Therefore 153 + 246 = 399.
- 451
- In the ones column: 4 + 7 + 0 carried in = 11. Write 1 and carry 1 to the next column.
- In the tens column: 6 + 8 + 1 carried in = 15. Write 5 and carry 1 to the next column.
- In the hundreds column: 1 + 2 + 1 carried in = 4. Write 4 and carry 0 to the next column.
- Therefore 164 + 287 = 451.