Question Video: Finding the Result of Column Addition of Three-Digit Numbers by Regrouping Ones | Nagwa Question Video: Finding the Result of Column Addition of Three-Digit Numbers by Regrouping Ones | Nagwa

Question Video: Finding the Result of Column Addition of Three-Digit Numbers by Regrouping Ones Mathematics • Second Year of Primary School

Find the following: 236 + 148.

02:23

Video Transcript

Find the following: 236 plus 148.

Did you know in this question we’ve already been given a hint to help us? Perhaps you find it difficult to recognize. But if the calculation had been written like this, we might have found it trickier to work out. The way that our calculation has been written, with the ones, the tens, and the hundreds digits in neat separate columns, gives us a bit of a clue. Perhaps we need to add each column separately.

Now, we always start by adding the ones digits first, and we’ll explain why in a moment. Six ones plus eight ones makes a total of 14 ones. Now, we know we can only write a one-digit number in the ones place. So how can we represent the number 14? We can take 10 of our ones and exchange them for one ten. And we write that little one ten in the tens place. This is just to remind us when it comes to adding the tens, we need to include this extra ten. So 14 is now one ten and four ones. Can you see how this is still the same as 14 ones? We’ve just regrouped the number. It’s important to remember that when we regroup a number like this, it doesn’t change its value.

On to the tens. Now, when we first looked at our calculation, we might say three tens plus four more tens equals seven tens. So surely, the answer is going to have seven tens in it. And, you know, if we’d have started with the hundreds digit and work from left to right, we might well have written the digit seven in the tens place. But don’t forget we exchanged 10 ones in the number 14, and we’ve got an extra ten to think about. Good job we started by adding the ones, isn’t it? Our answer is not gonna have seven tens, but eight tens.

Finally, if we add the digits in the hundreds column, 200 plus another 100 equals three hundreds altogether. We’ve used column addition to add these two three-digit numbers together. We even regrouped some ones where we needed to. We exchanged 10 ones for one ten. And so we’ve worked out that 236 plus 148 equals 384.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy