LearnElementary MathWhole numbers

Adding and subtracting with regrouping

Ten of anything can become one of the next place, and back.

Lesson 3 of 3

Elementary Math: Whole numbers

When a column adds up to more than 9, it won't fit in one digit, so you trade: ten ones become one ten. Subtracting uses the same trade backward. If you don't have enough ones, you break a ten into ten ones.

That's what "carrying" and "borrowing" really are. Nothing is lost. You've just rewritten the same amount.

Work through it

Ones: . Keep 3, and trade ten ones for one ten.write 3, carry 1

Tens: . Keep 4, and trade ten tens for one hundred.write 4, carry 1

Hundreds: .

Ones: you can't take 8 from 3, and the tens place has 0. Borrow from the hundreds first. becomes hundreds and tens

Now borrow a ten for the ones. tens and ones

Subtract each place: , , .

Check with addition.

Subtraction undoes addition, so the answer plus what you took away must give the start.

A quick estimate catches big errors. is about , so makes sense.

Watch out for this

, by subtracting the smaller digit from the bigger one in each column.

You can't flip a column. The ones are , so borrow: , then . The answer is .

The short version
Line up the places and start with the ones. Ten in one place trades for one in the next. To subtract, borrow one and it becomes ten.

Your turn

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