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# Maths Years 3–6 with Miss White: Addition with regrouping

**Subjects: Maths **

**Years: 3–4, 5–6**

### Learn how to use regrouping to complete formal addition problems.

Miss White demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

**Things to think about **

For this lesson you will need: 1 pencil, 1 piece of paper. Can you name the place values of the following numbers?

**8562****532****22****549**

- When setting up vertical addition problems make sure you put all the numbers in the correct place value columns. Look and listen carefully as Miss White regroups numbers. When do you have to regroup a number?

Try solving some equations on

**this worksheet**.

**Acknowledgements**

Special thanks to Miss White and Haileybury, Melbourne.

**Production Date: **2020

**Copyright**

^{Metadata © Australian Broadcasting Corporation 2020 (except where otherwise indicated). }^{Digital content © Australian Broadcasting Corporation (except where otherwise indicated). }^{Video © Australian Broadcasting Corporation and Department of Education and Training (Victoria). All images copyright their respective owners. }^{Text © Australian Broadcasting Corporation and Department of Education and Training (Victoria).}

## Transcript

Hello, lovely learners. My name's Miss White and I'm so excited to teach you today.

For this lesson you will need a pencil and a piece of paper. In today's lesson we are going to work on solving addition problems with regrouping. When solving worded problems we need to look for clue words that help us to know that we need to use addition. Some of these words might be both altogether, sum and total.

I'm going to start in the 'I do', which is where I show you as the expert how to do vertical addition with regrouping. I need to start by setting out my question. First, I'm going to read the question. It says 3,482 plus 2,613. I'm going to pop my first number on the board. 3,482. I add my addition sign and my second number, which is 2,613. I draw my line below so that my answers can go underneath. I start in the smallest place value. Remember that our answer is a little bit afraid of our addition symbol. So we need to start as far away as we can and slowly creep towards it. So I say to myself, two plus three is five. I write down the five and I move to the next place value, which is my tens. I say to myself eight plus one is nine. I write down my nine and I move. To the next place value, which is my hundreds I say to myself, four plus six is ten. Now that's a two digit number. So I write down my zero and I regroup my one. I now am in my thousands place value. I say to myself, three plus two is five but I can't write down five just yet because I need to add this extra one. So five plus one is six. I write down my six, I add my comma and my answer is 6,095.

Watch carefully while I solve another vertical addition problem with regrouping. I'm going to start by setting up my problem. I put my first number on top, which is 8,246 and I put my second number 2,484 below it. I add my addition sign and my line below. I'm going to start in my smallest place value because my answer is a bit of a scaredy cat and needs to stay as far away from the addition sign as possible. I say to myself, six plus four is ten. Now that's a two digit number, so I write down my zero and I regroup my one and I move to the next place value. I now say to myself, four plus eight is 12, plus the one is 13. I write down my three and I regroup my one and I move to the next place value. I say to myself, two plus four is six plus my little one up the top is seven. I write down my seven and move to the next place value. Eight plus two is ten, now there's no way to regroup it so I can write down my ten, add my comma and my answer is 10,730.

Now that I've shown you how it's done, let's try this one together. Get your pencil and paper and let's set up our question. The first number, 2,394 needs to go on top. We add our addition sign and below we write our number 1,296. Beneath that, we draw a line so our answer can go underneath. I'll give you a moment just to make sure you're ready. Five, four, three, two and one. Well done for setting up so beautifully. Let's solve it together. We're going to start in the smallest place value, which is furthest away from our addition sign. We need to say to ourself, four plus six is ten. Now that's a two digit number, so we write down our zero and we regroup our one. We move to the next place value, which is our tens place value. I say to myself, nine plus nine is 18, plus the little one that's up here is 19. I write down my nine and I regroup my one and I moved to the next place value, which is our hundreds place value. I say to myself, three plus two is five, plus the little one up here, is six. I write down my six and I move to the next place value, which is my thousands place value. I say to myself, two plus one is three. I write down my three, I add my comma and my answer is 3,619. If you've got that, excellent job,

I'm so impressed with your focus. Let's set up another question together. This says 3,572 plus 1,384. Let's start by writing our first number, 3,572. We put our addition sign over here and we can write our second number 1,384. Just make sure your numbers are perfectly lined up so that your place values match. If you feel confident, feel free to go ahead and solve on your own. Just remember that if you have a two digit number, you can't write it down the bottom and you'll need to regroup. I'll give you five, four, three, two and one. For those of you who aren't so confident, let's try it together. I'm going to start in my smallest place value, which is on the right. I say to myself, two plus four is six. I write down my six and I moved to the next place value, which is my tens place value.

I say to myself, seven plus eight you might already have the answer. Seven plus eight is 15. I write down my five and I can't write my one there so I need to regroup it, so I pop it up here. I move to the next place value, which is my hundreds. Great job for those of you that are following along. I say to myself, five plus three is eight but I can't write down my eight yet because I need to add my one. Eight plus one is nine I write down my nine and I move to the next place value, which is my thousands. I say to myself, three plus one is four. There's nothing to regroup, so I write down my four, I add my comma and let's say our answer together. The answer is 4,956. Awesome job. We're going to play a really quick game of addition mission. You need to be really speedy and set up your board just like you would for noughts and crosses. So two lines down and two lines across. You now need to fill in the numbers, 11 to 19 in any box you like. So I'm going to go ahead and do the same. Yours don't have to look like mine.

Okay, I'll give you five, four, three, two and one. Okay, listen carefully to my addition problems and tick them when you've got the answer on your board. So let's start by going five plus five plus five. Find the answer and tick it off. Remember if you get three in a row, you are the winner. Your next question is six plus six. Mmmm. Six plus six is 12. Okay, your next question is going to be, let's go ten plus four . Ten plus four is 14. Find it and tick it off. Your next question is going to be ten plus two plus seven. Find your answer and tick it off. That was ten plus two plus seven. Oh and I'm pretty sure someone just got bingo. Excellent job. You have been such superstar learners. Now that you know how to do vertical addition with regrouping, you might like to practice some more. Just make sure that your numbers add up to more than ten so that you have something to regroup. See you next time.