### 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.