Maths lesson · Addition and subtraction
How to subtract with regrouping
When the top digit is too small, change one ten into ten ones, then take away.
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Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- New Zealand · Year 3New Zealand Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 4 before. See subtracting with regrouping in Year 4
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 4New Zealand Curriculum
Your choice is kept in this browser only.
You chose Australia · Year 2 before. See subtracting with regrouping in Year 2
You chose Australia · Year 3 before. See subtracting with regrouping in Year 3
You chose United States · Grade 2 before. See subtracting with regrouping in Grade 2
You chose United States · Grade 3 before. See subtracting with regrouping in Grade 3
You chose England · Year 2 before. See subtracting with regrouping in Year 2
You chose England · Year 3 before. See subtracting with regrouping in Year 3
You chose New Zealand · Year 3 before. See subtracting with regrouping in Year 3
Choose your curriculum and year
The lesson's worked example and words follow your child's year. Subtracting with regrouping is taught in these years.
- Australia · Year 2Australian Curriculum v9 · AC9M2N04
- Australia · Year 3Australian Curriculum v9 · AC9M3N03
- United States · Grade 2Common Core · 2.NBT.B.5 · 2.NBT.B.7
- United States · Grade 3Common Core · 3.NBT.A.2
- England · Year 2National Curriculum
- England · Year 3National Curriculum
- New Zealand · Year 3New Zealand Curriculum
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Practise on paper. This week’s subtracting with regrouping sheet: 12 questions with a worked example, new every Monday.
See this week’s sheetHow to work it out
52 − 27
- Step 1Set out 52 − 27 in columns: ones under ones, tens under tens. Start with the ones.
- Step 22 is less than 7, so regroup: change 1 ten into 10 ones. 5 tens become 4 tens, and 2 ones become 12 ones.
- Step 3Take away the ones: 12 − 7 = 5. Write 5 in the ones column.
- Step 4Take away the tens: 4 − 2 = 2. Write 2 in the tens column.
- Step 552 − 27 = 25. Check by adding: 25 + 27 = 52.
3a number in the sum1moves (regrouped, carried, a jump)8the answer
How to work it out
432 − 175
- Step 1Set out 432 − 175 in columns: ones under ones, tens under tens. Start with the ones.
- Step 22 is less than 5, so regroup: change 1 ten into 10 ones. 3 tens become 2 tens, and 2 ones become 12 ones.
- Step 3Take away the ones: 12 − 5 = 7. Write 7 in the ones column.
- Step 42 is less than 7, so regroup: change 1 hundred into 10 tens. 4 hundreds become 3 hundreds, and 2 tens become 12 tens.
- Step 5Take away the tens: 12 − 7 = 5. Write 5 in the tens column.
- Step 6Take away the hundreds: 3 − 1 = 2. Write 2 in the hundreds column.
- Step 7432 − 175 = 257. Check by adding: 257 + 175 = 432.
3a number in the sum1moves (regrouped, carried, a jump)8the answer
About this lesson
Regrouping (also called exchanging or borrowing) happens when a top digit is smaller than the one below it. Your child changes one ten from the next column into ten ones: the tens digit goes down by one and the ones digit goes up by ten. Then the column can be taken away. Adding the answer back checks it.
What your child learns
- Subtract two-digit numbers where a ten must be regrouped.
Australia · Year 2: Australian Curriculum v9 · AC9M2N04
Australia · Year 3: Australian Curriculum v9 · AC9M3N03
United States · Grade 2: Common Core · 2.NBT.B.5 · 2.NBT.B.7
United States · Grade 3: Common Core · 3.NBT.A.2
England · Year 2: National Curriculum
England · Year 3: National Curriculum
New Zealand · Year 3: New Zealand Curriculum
New Zealand · Year 4: New Zealand Curriculum
About this lesson
Regrouping (also called exchanging or borrowing) happens when a top digit is smaller than the one below it. Your child changes one ten from the next column into ten ones: the tens digit goes down by one and the ones digit goes up by ten. Then the column can be taken away. Adding the answer back checks it.
What your child learns
- Subtract three-digit numbers in columns, exchanging where needed.
Australia · Year 2: Australian Curriculum v9 · AC9M2N04
Australia · Year 3: Australian Curriculum v9 · AC9M3N03
United States · Grade 2: Common Core · 2.NBT.B.5 · 2.NBT.B.7
United States · Grade 3: Common Core · 3.NBT.A.2
England · Year 2: National Curriculum
England · Year 3: National Curriculum
New Zealand · Year 3: New Zealand Curriculum
New Zealand · Year 4: New Zealand Curriculum
Practise subtracting with regrouping
This week’s practice sheet is ready to print, with a worked example at the top.
- This week’s subtracting with regrouping sheet12 questions with a worked example, new every Monday.Ready to print
- Subtracting with regrouping practice packEvery level, new numbers any time, with answer keys.Coming soon