Multi-Digit Subtraction
Practise subtracting large numbers — four and five digits — using the same borrowing method, scaled up.
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How subtraction scales to big numbers
Subtracting large numbers adds nothing new: it is the same right-to-left borrowing method, just with more columns. A child who can handle 3-digit subtraction with borrowing already has every skill needed here — the challenge is staying organised across more columns.
- Line the numbers up by place value, bigger number on top.
- Subtract each column from the right, borrowing whenever the top digit is too small.
- Handle any strings of zeros by borrowing from the next non-zero column.
- Write the result.
Worked examples
Tips & common mistakes
Neat columns matter even more with long numbers — one misaligned digit throws everything off. Estimate first: 8,205 − 3,748 is about 8,000 − 3,700 = 4,300, close to 4,457. Round numbers like 6,000 mean lots of borrowing, so slow down on those.
- Long strings of zeros (as in 6,000 − 2,375) — the borrow cascades all the way across.
- Columns drifting out of alignment as the numbers get longer.
- Dropping a borrow somewhere in the middle — estimating catches the size error.
Frequently asked questions
What grade is multi-digit subtraction?
It is a grade 4 skill, building directly on 3-digit subtraction.
Is the method any different for big numbers?
No — more columns, same right-to-left borrowing. Alignment is the only added challenge.
Why is something like 6,000 − 2,375 hard?
Because the borrow has to travel across several zeros before it finds a digit to take from. Rewriting the regrouped number helps.
How do we check such a big answer?
Add the answer back to the number you subtracted — you should land on the original top number.
My child gets facts right but the total wrong — why?
Usually a misaligned column or a dropped borrow. Lined-up digits and an estimate catch both.
Keep practising
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