Step-by-step Maths Level 3: Adding two 2-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 two 2-digit numbers with carrying
Two 2-digit numbers can need carrying. The ones may make 10 or more, and the tens may then make 10 or more as well.
When the tens make 10 or more, the answer goes into the hundreds. That is a sum of 100 or more.
Key ideas
- Add the ones, then the tens.
- Carry a ten when the ones make 10 or more.
- Carry a hundred when the tens make 10 or more.
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.47 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.4 + 3 + 1 carried = 8
- Write the answer. Read the columns from left to right.85
Check. Check: 85 - 38 = 47.
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.65 over 58
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.5 + 8 = 13, write 3 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 + 5 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.123
Check. Check: 123 - 58 = 65.
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.76 over 49
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.6 + 9 = 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.7 + 4 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.125
Check. Check: 125 - 49 = 76.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.
Watch out
Watch out. Add the carried ten to the tens before you write them down. 76 + 49 is 125, not 115.
Exam tip
Grown-up tip. Ask: “How many ones? Is it ten or more? How many tens, with the one we carried?”
Exercise 4B Practice: two 2-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.72 over 30
- Add the ones. The ones make less than 10, so no ten is carried.2 + 0 = 2
- 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 + 3 = 10
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.102
Check. Check: 102 - 30 = 72.
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.92 over 57
- Add the ones. The ones make less than 10, so no ten is carried.2 + 7 = 9
- 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 + 5 = 14
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.149
Check. Check: 149 - 57 = 92.
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.44 over 70
- Add the ones. The ones make less than 10, so no ten is carried.4 + 0 = 4
- 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.4 + 7 = 11
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.114
Check. Check: 114 - 70 = 44.
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.79 over 43
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.9 + 3 = 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.7 + 4 + 1 carried = 12
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.122
Check. Check: 122 - 43 = 79.
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.82 over 90
- Add the ones. The ones make less than 10, so no ten is carried.2 + 0 = 2
- 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 + 9 = 17
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.172
Check. Check: 172 - 90 = 82.
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.73 over 70
- Add the ones. The ones make less than 10, so no ten is carried.3 + 0 = 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.7 + 7 = 14
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.143
Check. Check: 143 - 70 = 73.
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.97 over 65
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 5 = 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.9 + 6 + 1 carried = 16
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.162
Check. Check: 162 - 65 = 97.
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.83 over 87
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.3 + 7 = 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.8 + 8 + 1 carried = 17
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.170
Check. Check: 170 - 87 = 83.
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.60 over 77
- Add the ones. The ones make less than 10, so no ten is carried.0 + 7 = 7
- 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.6 + 7 = 13
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.137
Check. Check: 137 - 77 = 60.
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.48 over 14
- 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.4 + 1 + 1 carried = 6
- Write the answer. Read the columns from left to right.62
Check. Check: 62 - 14 = 48.
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.89 over 83
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.9 + 3 = 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.8 + 8 + 1 carried = 17
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.172
Check. Check: 172 - 83 = 89.
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.44 over 91
- Add the ones. The ones make less than 10, so no ten is carried.4 + 1 = 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.4 + 9 = 13
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.135
Check. Check: 135 - 91 = 44.
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.88 over 48
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.8 + 8 = 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.8 + 4 + 1 carried = 13
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.136
Check. Check: 136 - 48 = 88.
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.80 over 94
- Add the ones. The ones make less than 10, so no ten is carried.0 + 4 = 4
- 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 + 9 = 17
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.174
Check. Check: 174 - 94 = 80.
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.57 over 75
- Add the ones. The ones make 10 or more, so write the ones digit and carry 1 ten.7 + 5 = 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.5 + 7 + 1 carried = 13
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.132
Check. Check: 132 - 75 = 57.
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.87 over 51
- Add the ones. The ones make less than 10, so no ten is carried.7 + 1 = 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.8 + 5 = 13
- Add the hundreds. Add any carried hundred too.0 + 0 + 1 carried = 1
- Write the answer. Read the columns from left to right.138
Check. Check: 138 - 51 = 87.
Watch out. When the tens make 10 or more, carry a hundred to the hundreds column.