Ordering large numbers: greatest to least | 4th grade math (TX TEKS) | Khan Academy

- [Instructor] What I would like you to do

is pause this video,

and for each of these groups of numbers,

we have this first group of three numbers

in this yellow color,

and then we have this
next group of numbers

in this green color. I want
you to order each of the groups

from greatest to least.

All right, now let's do this together.

And the way that I would do it

is to go to the most
significant place value.

So I'd start on the left.

And it's good to check
whether we're starting

truly in the same place value.

It's not always the first number.

For example, if instead of 13 million,

this was just three million,

the first number might be a three,

which is larger than a one or a four,

but this one is in the 10 million place.

So we have to make sure
we're comparing the right,

the same values.

Now, this isn't three
million, this is 13 million.

So let's start in the 10 millions place

and we have one 10 million
in every situation.

So those are looking similar.

Then we could go to the millions place.

We have a three, a four, and a four.

And remember, we're ordering
from greatest to least.

So we immediately see when
we look at the millions

that this has the least
number of millions,

this 13 million here.

We don't even have to
look at anything else.

So we already know that
the number here on the left

is the smallest of the numbers.

So if we're ordering
from greatest to least,

it's going to be over here, 13,467,200.

We've used that one up.

Now we're just gonna
compete between these two

to see which one is larger
and which one is smaller.

We could go to the a
hundred thousands place.

This has 800,000s. This has 400,000s.

So this one over here is
going to be the greatest.

It is the largest of the numbers.

So I could write it right over here.

14,862,301

is going to be greater than
this number over there.

14,421,865,

which is greater than the 13,467,200.

All right, now let's do this
next group of three numbers.

Same idea.

Let's make sure that we're
starting the same place value.

Millions, millions, millions.
And they all have fours there.

So no difference there.

Then we go to the hundred thousands.

Five, five, five, no difference.

Then we go to the 10,000s.

Six, six, seven.

So this one has the most
10,000. So this is the greatest.

So let me rewrite this number down here.

We're going greatest to least.

So 4,574,210.

I used this number up.

And now let's keep going

in the competition between
the next two numbers.

So now we go to the thousands
place, still the same.

And then we can go to the
hundreds place, 200s, 300s.

So this is the next largest number here.

It has more hundreds than this
one over here on the left.

So we have our next number

is going to be the same color,

4,562,310,

which in turn is also greater
than the smallest number,

which is 4,562,290.

And there we have it.

This number is greater than this number,

which is greater than that number.

We have ordered from greatest to least.