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- [Instructor] We're told
for the number 372,590,
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what is the nearest multiple of 100,000?
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And they give us a little bit
of a blanket number line here,
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we have some other questions here,
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but the way that I'm gonna do it
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is I'm going to think about
what multiples of 100,000
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is this number in between,
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and then I'm gonna try to roughly see
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where it sits on that number line.
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So for example, for 372,590,
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the hundred thousands
place is right over here.
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So this number is between
300,000 and 400,000.
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So let me write that here.
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This is 300,000,
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for this point on my number line,
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and I'm gonna make this one, 400,000.
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Now the number 372,590,
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where would that be on this number line?
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Well, if it was 350,000, it
would be right over here.
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372,000 is a good bit further,
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it'd be something like right over here.
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So if we wanna say
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what is the nearest multiple
of a hundred thousand,
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we just have to say, okay,
is this where I put 372,590?
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Is it closer to 400,000 or
is it closer to 300,000?
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Well, we can clearly see
it is more than halfway
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of the way from 300,000 to 400,000.
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So the nearest multiple of a
hundred thousand is 400,000.
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Now that is an example,
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why don't you try the next one?
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What is the nearest multiple of 10,000?
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Alright, so here we're going
to do something very similar,
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but instead of saying multiples
of a hundred thousand,
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we're gonna think about
multiples of 10,000
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and the ten thousands place,
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And maybe I'll do this in a new color
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just for a little bit of variety.
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We have seven ten-thousands
in that 70,000 or 72,590.
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So if we go to the nearest
10,000, below this number,
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we are going to be at 370,000.
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And the nearest 10,000 above this number
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is going to be 380,000.
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Now, where does 372,590 sit?
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Well, if it was 375,000, it
would be right in the middle.
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So 372,590
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is going to be someplace around there.
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So what's the nearest multiple of 10,000?
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Well, we're definitely not
even halfway of the way
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between 370,000 and 380,000,
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we're definitely closer to 370,000,
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so that's what I would write.
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Let's do this last
example, maybe in green.
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What is the nearest
multiple of a thousand?
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Once again, pause this video.
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Have a go at it before
we do this together.
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So once again, let's look
at the thousands place.
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So if we go to the nearest thousand
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that's below this number,
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it would be 372,000.
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And then the nearest thousand,
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that or multiple of a
thousand that's above this
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would be 373,000.
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Notice these numbers are
a hundred thousand apart.
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These numbers are 10,000 apart.
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These numbers are a thousand apart.
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And so where's 372,590?
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Well, 372,500 would be
right in the middle,
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but 372,590 is more than halfway.
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It's going to be roughly right over there,
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so you can see that it's closer to 373,000
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than it is to 372,000.
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So we would go right over there.
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You might be wondering, what
if we were right in the middle?
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What would we say we are nearest to?
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Well, you might make an argument
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that we're equally near to either end,
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but as you go further in your math career,
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you'll learn that when people
wanna think about this,
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they come up with certain rules
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when you are stuck in
that tie-like situation.