Ordering decimals visually: least to greatest | Khan Academy

- [Instructor] We're
told the time in hours

that three students spent on a project

are represented below.

Each large square represents one hour.

Order the students by the
time spent on the project

from least to greatest.

So pause this video and have a go at that

before we do this together.

Alright, now let's do this together.

So let's see who did the least.

And this first block
year, you could view that.

Well actually, when we
just visually look at it,

we can immediately see that
Ara and Vera did a whole hour,

and then they did a little bit more,

while Liam didn't even
quite do a whole hour.

If we were to write the amount
of time that Liam spent,

it looks like this whole
is divided into tenths.

There's 10 equal rectangles,

and nine of them are filled in.

So this is 9/10.

Oops, you can't see that.

This is 9/10 of an hour,

which is equal to, we could
write it this way, 0.99.

So the least is Liam

'cause we're going,

we're trying to go from least to greatest.

So we've used Liam already.

So now let's compare Ara or Ara and Vera.

They both did a whole and then then some.

So let's compare the then some.

Ara did one, and then how many hours?

So it might be a little hard to see,

but this is divided into tenths.

There's 10 equal rectangles here.

And if I look carefully,

it looks like five of
those 10 are colored in.

So this is one and 5/10 of an hour,

or hours I should say, which
is the same thing as 1.5.

Well, if I look at Vera,

it looks like we definitely have that one.

We have that whole,

and then here it looks
like we have 10 hundreds

completely filled in,

20 hundreds completely filled in,

30 hundreds, 40 hundreds,
and then five more.

So it looks like one and 45 over 100,

which is the same thing as one and 45/100,

or one and 4/10 and 5/100.

So if we were to compare
between Vera and Ara,

if we could just go to the tenths.

Vera didn't get to 5/10.

She's a little bit below 5/10.

She's at 4/10 and then some.

So Vera is the next smallest.

So I will write Vera here,

or I could say is also the
next larger one than Liam.

And then the person who
spent the most time studying,

or on the project, that's
what we're measuring,

spent the most time on the project is Ara,

an hour and a half.

And we're done.

We've used all of them.