Adding multi digit numbers with regrouping

What we're going to do in this video is add 48,029 to 233,930. And like always, pause this video, and I really encourage you to try to figure it out on your own. Let's see if we get the same answer, and if we don't, why.

All right, so the way I'm going to tackle this, I assume that you've had a go at it. I'm going to take the larger number, I'm going to write it on top. I'm really doing the standard method. There's multiple ways where you can add multiple multi-digit numbers, but what I'm going to do is really the most typical method.

I'm going to write the smaller number below it, but I'm going to match up the place value. So I'm going to write the ones place in the same column as the ones place on the top number. So this is the ten thousands place: 48,000 and 29. So nine is nine ones, zero ones, two tens, three tenths, so on and so forth.

Now I am ready to add. So let's start in the ones place. If I’m adding numbers, it's always a good idea to start in the ones place. Zero ones plus nine ones is nine ones. Then I can go into the tens place: three tens plus two tens is five tens. This is going well.

All right, then I go to the hundreds place. Nine hundreds plus zero hundreds, well, that's just going to be nine hundreds. So far, so good. All right, now something interesting is going to happen in the thousands place. Thousands plus eight thousands, well, that would be eleven thousands, but we can rewrite eleven thousands as one thousand and one ten thousand.

Sometimes you might see this described as carrying the one: three plus eight is eleven, where you carry the one, but all you're really doing is regrouping. Three thousand plus eight thousand is eleven thousand. We write the one thousand here, and then you write the ten thousand right over there in the ten thousand place.

Now, so we have one ten thousand plus three ten thousands plus four ten thousands. So one plus three plus four, that's eight ten thousands or eighty thousand. And then last but not least, we have these two hundred thousands right over there, and we're done.

Two hundred eighty-one thousand nine hundred and fifty-nine. Did you get the same answer?