we're going to think about dividing numbers

where the quotient, the result of our division,

might result in a decimal.

So let's say we wanted to compute

what five divided by two is.

In the past, you might've said,

hey, two times two is four

and then you'd have one leftover

and so you might have said something like this,

this is two with a remainder of one.

But now we don't want, we don't wanna just say,

hey, how many times can it go in and what's left over.

We wanna know exactly how many times can two go into five

so we want a decimal answer right over here.

So, pause this video and see if you can figure that out.

All right, now let's work through this together.

And there's many ways that we could approach this.

One way is to realize that five divided by two,

we could re-express as five divided by two

or as five halves and five halves is the same thing

as four plus one over two

which is the same thing as four halves plus one half

which is the same thing as four halves is two.

Let me do that in a different color.

This part over here is two

and then you have this one half.

So it's the same thing as two and a half

and if we were to express that as a decimal

that's going to be equal to two

and how many tenths is equal to a half?

Well five tenths is equal to a half.

So five divided by two, you could say, 2.5.

Now another way that you could approach this is you say,

five divided by two is the same thing as

50 tenths divided by two.

So let me use a different color here.

So instead of a five, I could say five

is the same thing as 50 tenths,

50 tenths divided by,

divided by two

and so if I have 50 of something

and if I were to divide it by two,

well that's going to result in 25 of the something.

So this is going to be equal to 25 tenths.

And how would we express 25 tenths as a decimal?

Well, this is going to be equal to,

if I could put some place values here,

so we definitely have five tenths.

I'll put that in the tenths place

and then 20 tenths is the same thing as two ones.

And that's exactly what we had up here.

Either way, you get 2.5,

two ones and five tenths.