Step-by-step Maths Level 4: Column addition with carrying
Part of the Step-by-step Maths Level 4 column addition and subtraction chapter. Chapter overview · whole chapter on one page
Column addition with carrying
Write the numbers in columns, with the thousands, hundreds, tens and ones lined up.
Add the ones first. If the total is 10 or more, write the ones digit and carry the ten to the tens column. Keep going to the thousands.
Key ideas
- Line up the place value columns.
- Add the ones first, then the tens, hundreds and thousands.
- Carry 1 when a column is 10 or more.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.6 + 5 = 11: Write 1 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.2 + 7 + 1 = 10: Write 0 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.8 + 3 + 1 = 12: Write 2 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.4 + 2 + 1 = 7: Write 7. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.7201
Check. Check: 7201 - 2375 = 4826.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.7 + 6 = 13: Write 3 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.4 + 9 + 1 = 14: Write 4 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.0 + 5 + 1 = 6: Write 6. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.3 + 2 = 5: Write 5. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.5643
Check. Check: 5643 - 2596 = 3047.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.9 + 8 = 17: Write 7 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.5 + 7 + 1 = 13: Write 3 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.8 + 3 + 1 = 12: Write 2 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.1 + 6 + 1 = 8: Write 8. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.8237
Check. Check: 8237 - 6378 = 1859.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Watch out
Watch out. Do not forget the carried 1. In 2375 + 4826, the ones make 11, so carry 1 to the tens.
Exam tip
Grown-up tip. Ask the child to say the carry out loud: “Six and five is eleven, write one, carry one.”
Exercise 3B Practice: column addition
Non-calculatorMethod. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.2 + 5 = 7: Write 7. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.8 + 0 = 8: Write 8. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.5 + 0 = 5: Write 5. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.5 + 2 = 7: Write 7. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.7587
Check. Check: 7587 - 2005 = 5582.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.2 + 0 = 2: Write 2. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.5 + 7 = 12: Write 2 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.9 + 2 + 1 = 12: Write 2 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.6 + 1 + 1 = 8: Write 8. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.8222
Check. Check: 8222 - 1270 = 6952.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.5 + 6 = 11: Write 1 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.9 + 2 + 1 = 12: Write 2 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.6 + 1 + 1 = 8: Write 8. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.8 + 1 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9821
Check. Check: 9821 - 1126 = 8695.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.4 + 0 = 4: Write 4. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.0 + 4 = 4: Write 4. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.6 + 2 = 8: Write 8. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.5 + 1 = 6: Write 6. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.6844
Check. Check: 6844 - 1240 = 5604.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.6 + 7 = 13: Write 3 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.1 + 2 + 1 = 4: Write 4. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.0 + 6 = 6: Write 6. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.3 + 6 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9643
Check. Check: 9643 - 6627 = 3016.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.2 + 0 = 2: Write 2. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.9 + 3 = 12: Write 2 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.4 + 4 + 1 = 9: Write 9. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.3 + 3 = 6: Write 6. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.6922
Check. Check: 6922 - 3430 = 3492.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.6 + 7 = 13: Write 3 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.8 + 0 + 1 = 9: Write 9. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.1 + 4 = 5: Write 5. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.1 + 4 = 5: Write 5. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.5593
Check. Check: 5593 - 4407 = 1186.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.9 + 3 = 12: Write 2 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.7 + 6 + 1 = 14: Write 4 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.2 + 8 + 1 = 11: Write 1 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.3 + 2 + 1 = 6: Write 6. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.6142
Check. Check: 6142 - 2863 = 3279.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.2 + 3 = 5: Write 5. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.9 + 1 = 10: Write 0 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.5 + 5 + 1 = 11: Write 1 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.4 + 2 + 1 = 7: Write 7. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.7105
Check. Check: 7105 - 2513 = 4592.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.1 + 8 = 9: Write 9. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.4 + 3 = 7: Write 7. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.3 + 4 = 7: Write 7. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.6 + 3 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9779
Check. Check: 9779 - 3438 = 6341.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.8 + 8 = 16: Write 6 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.9 + 0 + 1 = 10: Write 0 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.8 + 9 + 1 = 18: Write 8 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.4 + 3 + 1 = 8: Write 8. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.8806
Check. Check: 8806 - 3908 = 4898.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.7 + 2 = 9: Write 9. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.3 + 4 = 7: Write 7. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.2 + 2 = 4: Write 4. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.6 + 2 = 8: Write 8. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.8479
Check. Check: 8479 - 2242 = 6237.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.6 + 8 = 14: Write 4 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.7 + 7 + 1 = 15: Write 5 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.6 + 0 + 1 = 7: Write 7. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.2 + 3 = 5: Write 5. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.5754
Check. Check: 5754 - 3078 = 2676.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.8 + 6 = 14: Write 4 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.9 + 6 + 1 = 16: Write 6 and carry 1 to the next column.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.9 + 2 + 1 = 12: Write 2 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.6 + 2 + 1 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9264
Check. Check: 9264 - 2266 = 6998.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.6 + 8 = 14: Write 4 and carry 1 to the next column.
- Add the tens column. Add the digits, and the carried 1 if there is one.2 + 6 + 1 = 9: Write 9. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.2 + 9 = 11: Write 1 and carry 1 to the next column.
- Add the thousands column. Add the digits, and the carried 1 if there is one.7 + 1 + 1 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9194
Check. Check: 9194 - 1968 = 7226.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.
Method. Add column by column, starting with the ones. Carry any ten to the next column on the left.
- Add the ones column. Add the digits, and the carried 1 if there is one.5 + 4 = 9: Write 9. There is nothing to carry.
- Add the tens column. Add the digits, and the carried 1 if there is one.5 + 4 = 9: Write 9. There is nothing to carry.
- Add the hundreds column. Add the digits, and the carried 1 if there is one.2 + 0 = 2: Write 2. There is nothing to carry.
- Add the thousands column. Add the digits, and the carried 1 if there is one.8 + 1 = 9: Write 9. There is nothing to carry.
- Write the answer. Read the digits from the top: thousands, hundreds, tens and ones.9299
Check. Check: 9299 - 1044 = 8255.
Watch out. Do not forget the carried 1 in the next column. Write the carried 1 small above the column.