Lesson Video: Column Addition of Numbers up to 10,000: No Regrouping Mathematics

In this video, we will learn how to use the standard algorithm to add numbers with up to four digits when we do not need to regroup.

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Video Transcript

Column Addition of Numbers up to 10,000: No Regrouping

In this video, we’re going to learn how to use the standard written method to add numbers with up to four digits when we do not need to regroup. In this video, we’re going to learn to add two numbers using the column addition method or standard written method. What do we need to do first? Do we start in the thousands column, add the hundreds, the tens, and then the ones? Well, we could. But when we’re using the written method to add, we always start by adding in the ones column.

We’ve got five ones, and we need to add two, which gives us a total of seven ones. The reason we always start adding in the ones column first is because if we have more than nine ones, we have to regroup. We’d have to exchange 10 of our ones for one 10. So we always add from right to left. We’ve added the ones. Now we can add in the tens column. Two 10s and six 10s is eight 10s. Now we’re adding in the hundreds place. We’ve got three 100s and we need to add no 100s, which gives us a total of three 100s. Finally, we add in the thousands column. Two 1,000s plus one more gives us a total of three 1,000s.

So when we’re adding two four-digit numbers using the standard written method, we always start by adding in the ones column. Then we add the tens, the hundreds, and then the thousands. Let’s try and apply what we’ve learned by answering some questions now.

1,311 plus 8,384 equals what.

Probably the best way to add these two four-digit numbers would be to use the standard written method. It doesn’t matter which order we write the numbers. We know we can add numbers in any order. The result will still be the same. So let’s start by writing the largest number first. It’s really important that we write the digits from both numbers in the correct place value. So let’s model this number using some counters.

This eight digit in 8,384 is worth 8,000. And we can model that with our 8,000 counters. This three digit is in the hundreds place. Its value is 300. And we can model this with three 100s counters. This eight digit is worth eight 10s. Its value is 80. And we can model this with eight 10s counters. The four is in the ones place. Its value is four. And we can model this with four ones counters. And we need to add 1,311.

The first one digit is in thousands place. We need to make sure to put the three in the hundreds place and line all the digits up in the correct column. And we always start by adding in the ones column. We’ve already got four ones, and we need to add one more. Four and one more is five. We can write the total number of ones in the ones place.

Next, we add in the tens column. We’ve already got eight 10s, and we need to add one more. We’ve got a total of nine 10s. Now we can add in the hundreds column. We’ve got three 100s, and we need to add three more. Three plus three is six. We’ve got a total of six 100s. Finally, we can add in the thousands column. We’ve got eight 1,000s. We need to add one more. We know that eight plus one is nine, so we’ve got a total of nine 1,000s.

We found the sum of 1,311 and 8,384 using the standard written method. The sum is 9,695.

Use the following place value table to find the result of 5,465 plus 2,324.

In this question, we have to add together two four-digit numbers. Both numbers have a thousands, hundreds, tens, and ones digit. And we’re told to use the place value table to help us add. When we’re adding two four-digit numbers, we always start by adding the ones first. There are five ones in the number 5,465 and four ones in the number 2,324. And we know that five plus four equals nine.

Now we can add in the tens column. We’ve got six 10s, and we need to add two more. Six 10s plus two 10s gives us a total of eight 10s. Now we need to add the hundreds. We’ve got four 100s, and we need to add three. Four plus three is seven, giving as a total of seven 100s. Finally, we need to add in the thousands column. What is five plus two? It’s seven. So we have a total of seven 1,000s.

5,465 plus 2,324 equals 7,789. We added our two numbers using the place value table to help.

Find the result of the following: 4,376 plus 5,213.

In this question, we have to add together our two four-digit numbers. And we have to use the standard written method or column addition. Let’s start by adding the ones. Six plus three gives us nine ones. Seven 10s plus one 10 gives us a total of eight 10s. We’ve got three 100s, and we need to add two. And we know that three plus two is five, so we’ve got five 100s. Finally, we need to add the thousands. We know that four plus five is nine, so we’ve got a total of nine 1,000s.

4,376 plus 5,213 is 9,589. We found the result using the standard written method. First we add the ones, then the tens, then the hundreds, and finally the thousands.

What have we learned in this video? We have learned how to use column addition to add numbers up to 10,000.

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