Lesson Video: Ordering Three-Digit Numbers | Nagwa Lesson Video: Ordering Three-Digit Numbers | Nagwa

Lesson Video: Ordering Three-Digit Numbers Mathematics • 2nd Grade

In this video, we will learn how to order three-digit numbers by comparing hundreds, tens, and ones.

15:59

Video Transcript

Ordering Three-Digit Numbers

In this video, we will learn how to order three-digit numbers by comparing the hundreds, tens, and ones.

Here are three three-digit numbers. Which of these numbers is the greatest? In other words, which of these numbers is worth the most? To help us compare these numbers, we’ve written them in a place value chart. We can look at the value of the hundreds digit, the tens digit, and maybe even the ones digit to help us decide which of these numbers is worth the most. Because these are all three-digit numbers, we need to look at the digit which has the greatest value. And that’s the hundreds digit.

Our first number is the number 635. The hundreds digit is a six. It’s worth 600. Our next number is the number 279. The hundreds digit in this number is a two. It’s worth 200. Our next number is the number 564. And the five digit is worth 500. Which is worth more: 600, 200, or 500? It’s 600. 600 is greater than 200, and 600 is greater than 500. So the number with the greatest value is the number 635.

We know that 635 is the greatest number. Which is the smallest? Which of our three numbers has the least amount of hundreds? 200 is less than 600. 200 is also less than 500. So the smallest number, or the number with the least value, is the number 279. So if we were going to order these numbers from greatest to smallest, our first number would be 635 and the smallest number would be 279. 564 comes between the greatest and the smallest. We ordered our numbers from greatest to smallest.

If we were to order the numbers from smallest to greatest, the smallest number, the one with the least number of hundreds, is 279, followed by 564. And the greatest number, the number with the most hundreds, is 635. When we’re ordering three-digit numbers, we need to use our knowledge of place value to help. Let’s try some questions now, where we need to order three-digit numbers.

Order the numbers in the place value table from least to greatest. 531, 562, and 438.

We have to order them from the least to the greatest. So the first number has to be the one which is worth the least, and the last number will be the one which is worth the most. We need to use our knowledge of place value to help us order these numbers. We know that three-digit numbers have a hundreds digit, a tens digit, and a ones digit. We need to start by comparing the hundreds digit.

Remember, we’re looking for the number with the least value. 531 has five hundreds, and so does the number 562. But 438 only has four hundreds. We know that four is less than five, so four hundreds are worth less than five hundreds. So the number which is worth the least is 438. Both of our two remaining numbers have a five in the hundreds place. So we’re going to need to look at the tens digit as well. 531 has five hundreds and three tens. 562 has five hundreds and six tens. We know that three is less than six, so now we know that 531 is worth less than 562.

So the number which comes after 438 is 531. And the number with the greatest value is 562. We ordered the numbers in the place value table from least to greatest. And we used our knowledge of place value to help. The correct order of the three three-digit numbers is 438, 531, and 562.

Order these numbers from greatest to least. 643, 663, and 647.

In this question, we’re shown three three-digit numbers. And we have to order them from greatest to least. So we need to start by writing down the number which is worth the most and finish with the number which is worth the least.

Which of our three three-digit numbers is worth the most? We know that three-digit numbers have a hundreds, tens, and ones digit. And we’re looking for the number which is worth the most. So let’s start by comparing the hundreds digit in each of our numbers. Did you notice that the hundreds digit for each of our three numbers is a six? 643 has six hundreds, so does 663 and 647. This isn’t much help. We need to move to the right to the next digit and compare the number of tens.

643 has four tens, which are worth 40. 663 has six tens, which are worth 60. And 647 has four tens, which are worth 40. We know that 60 is greater than 40. Six hundred and six tens are worth more than six hundred and four tens. So the number with the greatest value is 663.

Now, we need to find the number which is worth the least. Is it 643 or 647? Did you notice that both of these numbers have the same amount of hundreds and the same amount of tens? So we’re going to have to compare the ones digit. The number 643 has three ones. And the number 647 has seven ones. We know that seven is greater than three, so we know that 647 is greater than 643. Now we can write all of our numbers in the correct order. The numbers from greatest to least are 663, 647, and 643. We ordered these numbers from greatest to least using our knowledge of place value.

Order the towers in the table from tallest to shortest.

The table shows the height in meters of three towers, the Eiffel tower, and we can see that’s 324 meters tall, the Cairo tower, which is 187 meters tall, and the Burj Khalifa tower, which is 828 meters tall. We have to order these towers from tallest two shortest. When we’re ordering three-digit numbers, we need to use our knowledge of place value. We can write each of the heights into the table. Now we can compare the value of the digits.

Let’s start by comparing the hundreds digits. 324 has three hundreds, 187 has one hundred, and 828 has eight hundreds. We know that eight is greater than three. Eight is also greater than one. So the hundreds digit with the greatest value is the eight in 828. So the tallest tower is the Burj Khalifa. Which tower comes next? We know that three hundreds are greater than one hundred, so 324 is greater than 187. So the next tallest tower is the Eiffel tower. And the shortest tower is the Cairo Tower, which is 187 meters tall.

We ordered the towers in the table from tallest to shortest. And we used our knowledge of place value to help.

Arrange the numbers 463, 218, 757, 541, and 137 in ascending order. We’re shown five three-digit numbers. And we’re asked to order them in ascending order. Ascending means going up. So we have to start with the smallest number and work our way up to the largest number. When we’re ordering three-digit numbers we’re ordering numbers that have a hundreds digit, a tens digit, and a ones digit. Writing the numbers into our place value chart will help us to compare the value of each of the digits.

Let’s start by comparing the hundreds digit. 463 has four hundreds, 218 has two, 757 has seven hundreds, 541 has five hundreds, and 137 has one hundred. Which of the hundreds digit is worth the least? Well, we know that one is less than five, seven, two, and four. So the hundreds digit with the least value is the one in 137. Which is worth the least? Four hundreds, two hundreds, seven hundreds, or five hundreds? It’s two hundreds. And the two is in the number 218. Now we just need to compare 463, 757, and 541.

Which is worth the least? It’s 463. Four is less than five and less than seven. And now we just need to compare 757 and 541. We know five is less than seven, so our next number is 541. And we only have one number left, 757. The numbers in ascending order are 137, 218, 463, 541, and 757.

Arrange the numbers 494, 783, 316, 928, and 544 in descending order.

In this question, we’re given five three-digit numbers. And we have to arrange them in descending order. Descending means going down. So we have to start with the number which is worth the most and end with the number which is worth the least.

Which of our numbers is worth the most? If we write each of our five numbers out in columns, this will help us to compare the value of the digits. We need to start with the number which is worth the most. So let’s start with the hundreds digit. We’re looking for the hundreds digit with the greatest value, four hundreds, seven hundreds, three hundreds, nine hundreds, or five hundreds. It’s nine hundreds. The nine is in the number 928. So the number with the greatest value is 928. Let’s cross that number out.

Which of our remaining numbers has the most hundreds? Four hundreds, seven hundreds, three hundreds, or five hundreds? It’s 783. Which of our three remaining numbers has the most hundreds? We know that five hundreds are more than four hundreds and more than three hundreds. So the next number is 544. Now we just need to compare the hundreds digit of our two remaining numbers. And we know that four is greater than three, so our next number is 494. This just leaves us with one number remaining. It’s the number 316. This is the number worth the least.

We’ve ordered our five three-digit numbers from the greatest to the smallest. The numbers in descending order are 928, 783, 544, 494, and 316. We used our knowledge of place value to help.

What have we learned in this video? We have learned how to order three-digit numbers by comparing the hundreds, tens, and ones.

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