Finding the nearest multiple of 1,000, 10,000 and 100,000

- [Instructor] We're told
for the number 372,590,

what is the nearest multiple of 100,000?

And they give us a little bit
of a blanket number line here,

we have some other questions here,

but the way that I'm gonna do it

is I'm going to think about
what multiples of 100,000

is this number in between,

and then I'm gonna try to roughly see

where it sits on that number line.

So for example, for 372,590,

the hundred thousands
place is right over here.

So this number is between
300,000 and 400,000.

So let me write that here.

This is 300,000,

for this point on my number line,

and I'm gonna make this one, 400,000.

Now the number 372,590,

where would that be on this number line?

Well, if it was 350,000, it
would be right over here.

372,000 is a good bit further,

it'd be something like right over here.

So if we wanna say

what is the nearest multiple
of a hundred thousand,

we just have to say, okay,
is this where I put 372,590?

Is it closer to 400,000 or
is it closer to 300,000?

Well, we can clearly see
it is more than halfway

of the way from 300,000 to 400,000.

So the nearest multiple of a
hundred thousand is 400,000.

Now that is an example,

why don't you try the next one?

What is the nearest multiple of 10,000?

Alright, so here we're going
to do something very similar,

but instead of saying multiples
of a hundred thousand,

we're gonna think about
multiples of 10,000

and the ten thousands place,

And maybe I'll do this in a new color

just for a little bit of variety.

We have seven ten-thousands
in that 70,000 or 72,590.

So if we go to the nearest
10,000, below this number,

we are going to be at 370,000.

And the nearest 10,000 above this number

is going to be 380,000.

Now, where does 372,590 sit?

Well, if it was 375,000, it
would be right in the middle.

So 372,590

is going to be someplace around there.

So what's the nearest multiple of 10,000?

Well, we're definitely not
even halfway of the way

between 370,000 and 380,000,

we're definitely closer to 370,000,

so that's what I would write.

Let's do this last
example, maybe in green.

What is the nearest
multiple of a thousand?

Once again, pause this video.

Have a go at it before
we do this together.

So once again, let's look
at the thousands place.

So if we go to the nearest thousand

that's below this number,

it would be 372,000.

And then the nearest thousand,

that or multiple of a
thousand that's above this

would be 373,000.

Notice these numbers are
a hundred thousand apart.

These numbers are 10,000 apart.

These numbers are a thousand apart.

And so where's 372,590?

Well, 372,500 would be
right in the middle,

but 372,590 is more than halfway.

It's going to be roughly right over there,

so you can see that it's closer to 373,000

than it is to 372,000.

So we would go right over there.

You might be wondering, what
if we were right in the middle?

What would we say we are nearest to?

Well, you might make an argument

that we're equally near to either end,

but as you go further in your math career,

you'll learn that when people
wanna think about this,

they come up with certain rules

when you are stuck in
that tie-like situation.