Locating large numbers on a number line

- [Instructor] What we
have here is a number line

that goes from zero to 200,000,

and what we're gonna do is try

to plot four different
numbers on this number line.

So we're gonna try to plot the number 145,

and I'm gonna do it all
in different colors.

We're gonna plot the number 1,450,

we are going to plot the number 14,500,

and last but not least, we
are going to plot the number,

lemme just in a new color, 145,000.

So if you feel like it, pause this video,

and just at least think
about where you would put

these numbers, and you
could even point at them

with your finger if you don't feel

like taking pencil and paper out.

Okay, now let's do this together.

So let's start with 145.

It seems like a pretty big number

until you look at this number line,

which is going in all the way to 200,000,

so let's just think
about where 145 would be.

This is zero, this is 50,000,

so half of this, this right over here,

I'll mark it up a little bit
more, that would be 25,000.

Half of that, if I go right
over here, let me do that,

this is about closer to half,
that would be about 12,500,

and so 145,

even 1,000, if I were to
say this right over here,

that would be, let me
get a little bit closer

to halfway of that, so right around there,

that would be 6,250.

So you can see, even if I were to go here,

this little thing right over
here, that's going to be 3,125,

so that one right over
there, roughly, is 3,125.

So where would 145 be?

Well, on this number line,
it would look awfully close

to zero, even though
it's a pretty big number,

this number line is so big,

this gets us pretty close to zero.

That's where the 145 is.

And not only the 145,
where would the 1,450 be?

Well, I just said this
thing over here is 3,125,

so 1,450 is going to be
not even half of that,

so it's going to be right over there.

That's where 1,450 is,

and then we have 14,500,

and you might have
noticed that each of these

are 10 times the last one.

So 14,500,

well, this might get a little
bit more breathing room,

but not much, 'cause if this is 12,500,

and then this is going
to be around 20,000,

so 14,500 is only 2,000 more than this,

so it's going to be right around,

or 2,000 more than 12,500,

so it's gonna be right around there,

so still pretty close to the
left side of this number line.

And then last but not least, 145,000.

Well, that's going to be,
that's only 5,000 less

than 150,000, so just eyeballing it,

that's about right over there.

So even though, in our everyday lives,

all of these numbers feel big,

when you have a number
line that's this big,

you appreciate how much larger
145,000 is than even 14,500,

and then it's a lot larger
than these other ones

that we have here on the left.