Step-by-step Maths Level 3: Adding 3-digit numbers with carrying
Part of the Step-by-step Maths Level 3 adding within 1000 chapter. Chapter overview · whole chapter on one page
Adding 3-digit numbers with carrying
Line up the hundreds, tens and ones in columns. Then add the ones, the tens and the hundreds in that order.
Carry a ten from one column to the next, and carry a hundred from the tens to the hundreds when needed.
Key ideas
- Line up the columns.
- Add the ones, then the tens, then the hundreds.
- Carry from each column to the next.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.386 over 275
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.6 + 5 = 11, write 1 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.8 + 7 + 1 carried = 16
- Add the hundreds. Add any carried hundred too.3 + 2 + 1 carried = 6
- Write the answer. Read the columns from left to right.661
Check. Check: 661 - 275 = 386.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.452 over 89
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.2 + 9 = 11, write 1 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.5 + 8 + 1 carried = 14
- Add the hundreds. Add any carried hundred too.4 + 0 + 1 carried = 5
- Write the answer. Read the columns from left to right.541
Check. Check: 541 - 89 = 452.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.608 over 97
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.8 + 7 = 15, write 5 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.0 + 9 + 1 carried = 10
- Add the hundreds. Add any carried hundred too.6 + 0 + 1 carried = 7
- Write the answer. Read the columns from left to right.705
Check. Check: 705 - 97 = 608.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Watch out
Watch out. Keep the digits in their columns. 608 + 97 has a 9 in the tens, not the hundreds, so it is 705.
Exam tip
Grown-up tip. Draw the columns on squared paper, with one digit in each square. Ask the child to say the carried number out loud.
Exercise 4C Practice: 3-digit numbers with carrying
Non-calculatorMethod. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.707 over 128
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 8 = 15, write 5 and carry 1
- Add the tens. Add the carried ten with the tens.0 + 2 + 1 carried = 3
- Add the hundreds. Add any carried hundred too.7 + 1 = 8
- Write the answer. Read the columns from left to right.835
Check. Check: 835 - 128 = 707.
Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.780 over 76
- Add the ones. The ones make less than 10, so no ten is carried.0 + 6 = 6
- Add the tens. There is no carried ten to add. The tens make 10 or more, so write the tens digit and carry 1 hundred.8 + 7 = 15
- Add the hundreds. Add any carried hundred too.7 + 0 + 1 carried = 8
- Write the answer. Read the columns from left to right.856
Check. Check: 856 - 76 = 780.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.338 over 94
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.8 + 4 = 12, write 2 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.3 + 9 + 1 carried = 13
- Add the hundreds. Add any carried hundred too.3 + 0 + 1 carried = 4
- Write the answer. Read the columns from left to right.432
Check. Check: 432 - 94 = 338.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.781 over 62
- Add the ones. The ones make less than 10, so no ten is carried.1 + 2 = 3
- Add the tens. There is no carried ten to add. The tens make 10 or more, so write the tens digit and carry 1 hundred.8 + 6 = 14
- Add the hundreds. Add any carried hundred too.7 + 0 + 1 carried = 8
- Write the answer. Read the columns from left to right.843
Check. Check: 843 - 62 = 781.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.304 over 39
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.4 + 9 = 13, write 3 and carry 1
- Add the tens. Add the carried ten with the tens.0 + 3 + 1 carried = 4
- Add the hundreds. Add any carried hundred too.3 + 0 = 3
- Write the answer. Read the columns from left to right.343
Check. Check: 343 - 39 = 304.
Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.365 over 386
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.5 + 6 = 11, write 1 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.6 + 8 + 1 carried = 15
- Add the hundreds. Add any carried hundred too.3 + 3 + 1 carried = 7
- Write the answer. Read the columns from left to right.751
Check. Check: 751 - 386 = 365.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.607 over 99
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 9 = 16, write 6 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.0 + 9 + 1 carried = 10
- Add the hundreds. Add any carried hundred too.6 + 0 + 1 carried = 7
- Write the answer. Read the columns from left to right.706
Check. Check: 706 - 99 = 607.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.247 over 564
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 4 = 11, write 1 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.4 + 6 + 1 carried = 11
- Add the hundreds. Add any carried hundred too.2 + 5 + 1 carried = 8
- Write the answer. Read the columns from left to right.811
Check. Check: 811 - 564 = 247.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.773 over 192
- Add the ones. The ones make less than 10, so no ten is carried.3 + 2 = 5
- Add the tens. There is no carried ten to add. The tens make 10 or more, so write the tens digit and carry 1 hundred.7 + 9 = 16
- Add the hundreds. Add any carried hundred too.7 + 1 + 1 carried = 9
- Write the answer. Read the columns from left to right.965
Check. Check: 965 - 192 = 773.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.217 over 74
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 4 = 11, write 1 and carry 1
- Add the tens. Add the carried ten with the tens.1 + 7 + 1 carried = 9
- Add the hundreds. Add any carried hundred too.2 + 0 = 2
- Write the answer. Read the columns from left to right.291
Check. Check: 291 - 74 = 217.
Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.842 over 78
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.2 + 8 = 10, write 0 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.4 + 7 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.8 + 0 + 1 carried = 9
- Write the answer. Read the columns from left to right.920
Check. Check: 920 - 78 = 842.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.206 over 56
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.6 + 6 = 12, write 2 and carry 1
- Add the tens. Add the carried ten with the tens.0 + 5 + 1 carried = 6
- Add the hundreds. Add any carried hundred too.2 + 0 = 2
- Write the answer. Read the columns from left to right.262
Check. Check: 262 - 56 = 206.
Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.638 over 189
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.8 + 9 = 17, write 7 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.3 + 8 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.6 + 1 + 1 carried = 8
- Write the answer. Read the columns from left to right.827
Check. Check: 827 - 189 = 638.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.627 over 97
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 7 = 14, write 4 and carry 1
- Add the tens. Add the carried ten with the tens. The tens make 10 or more, so write the tens digit and carry 1 hundred.2 + 9 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.6 + 0 + 1 carried = 7
- Write the answer. Read the columns from left to right.724
Check. Check: 724 - 97 = 627.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.537 over 38
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 8 = 15, write 5 and carry 1
- Add the tens. Add the carried ten with the tens.3 + 3 + 1 carried = 7
- Add the hundreds. Add any carried hundred too.5 + 0 = 5
- Write the answer. Read the columns from left to right.575
Check. Check: 575 - 38 = 537.
Watch out. When the ones make 10 or more, carry a ten to the tens column. Do not forget it.
Method. Add the ones, then the tens, then the hundreds. Carry any ten or hundred you make.
- Write the numbers in columns. Keep the ones under the ones and the tens under the tens.794 over 14
- Add the ones. The ones make less than 10, so no ten is carried.4 + 4 = 8
- Add the tens. There is no carried ten to add. The tens make 10 or more, so write the tens digit and carry 1 hundred.9 + 1 = 10
- Add the hundreds. Add any carried hundred too.7 + 0 + 1 carried = 8
- Write the answer. Read the columns from left to right.808
Check. Check: 808 - 14 = 794.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.