Dividing a whole number by a decimal on a number line

- [Instructor] What we
want to do in this video

is figure out what two divided by 0.4 is,

or two divided by 4/10.

So why don't you pause this video

and try to figure out what it is.

And as a little bit of a hint,

think about two on the number line

and think about how many jumps of 4/10

do you have to make starting
at zero to get to two,

to figure out what two divided by 4/10 is.

All right, now let's do it together.

And as I mentioned in my hint,

let's just think about how many jumps

of 4/10 we have to make
to go from zero to two.

And on this number line,
each of these, this is a 10th

right over here because we can
see there's 10 equal spaces

between zero and one.

So let's take some jumps of 4/10.

So if we start at zero, we can make,

let's see there's 1/10, 2/10, 3/10, 4/10.

That's one jump.

I'll number that.

And then we can make our next
jump of one, two, three, 4/10.

Guess that's right over there.

That's two jumps.

Then our next jump will
take us right over there.

So once again I'm just
making equal jumps of 4/10.

Then my next jump

will take us one, two,
three, 4/10 further.

So that gets us right over there.

We've taken four jumps.

And then it looks like our
fifth jump gets us there.

One, two, three, 4/10.

Yup.

Our fifth jump gets us exactly to two.

So we've taken five jumps of
4/10 to go from zero to two

or another way to think about it is

if you were to divide two
into equal chunks of 4/10,

you could divide into
five equal chunks of 4/10.

Or you could make five equal jumps

to go from five equal jumps of 4/10

to go from zero to two.