3-Digit Subtraction with Regrouping in Hundreds, Tens, and Ones

**Subtraction** is taking away from a number.

Let's look at a tricky problem.

421 - 197 = ?

What should we do first? π€

π Let's write the equation in **column form**.

Next, we subtract the digits one at a time, starting from the **Ones **place.

But how do we subtract 7 from 1? π€

1 is less than 7. We can't.

So, we need to do regrouping! πΊ

**Regrouping** is taking some value from one place and giving it to another place that needs more. It's also called borrowing.

So back to our problem:

It looks like we can't subtract the Ones yet.

π We need to **regroup **1 Ten into 10 more Ones.

We end up with **11 Ones.**

Remember, we took 1 Ten away so we are left with only 1 Ten.Β

We do not change the value of a number when we regroup.Β

4 Hundreds, 1 Ten, and 11 Ones is still 421. β

We write regrouping like this:

Now that we've regrouped, we can solve the **Ones **place!

So what's 11 - 7?

Yes 4!

We'll write 4 in the Ones place.Β

So, what's next?

**π Next,** we subtract the **Tens.**

Can we subtract 9 from 1? π€

π No, we need a larger number.

So we regroup again! π

We need to regroup **1 Hundreds into 10 more Tens.**

Now, we have a total of **11 Tens**.

Remember, we took 1 Hundred away so we are left with only 3 Hundreds.Β

Let's show this new regrouping in our equation.

We crossed out the 4 and the 1, and wrote 3 and 11.Β

Now, we can subtract the Tens!

What is 11 - 9?

It's 2!

We write 2 in the Tens place.

**Lastly,** we subtract the **Hundreds.**

π Remember, you regrouped the Hundreds, so you are left with only 3 Hundreds.

We can subtract without regrouping because 3 is larger than 1.

When we subtract 1 from 3, we get 2.

Let's write 2 in the Hundreds place.

So, 421 - 197 = **224**. π

Great job learning to regroup twice! Now complete the practice to master the skill.

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