metric unit conversions

>>Alright. Conversion for metric units
— so in the last video, we went over what all this
means, this giant table up here. And again, these are our ones,
tens, hundreds, thousands; tenths, hundredths,
and thousandths — it’s all based on grams,
so there’s tens grams, hundred grams, thousand
grams, a tenth of a gram, hundredth of a gram,
and a milligram, which is a thousandth of a gram. So if we want to convert
— and remember, meters, this is all length;
grams is all weight; and liters is all volume. So you can only convert within. You can’t go, “Oh, I’m going
to convert grams to liters.” So unless you’re
a major chemist, it’s not going to happen. Grams to meters, these are
different types of measurements, so we’re going to be
doing meters to meters, and we’re going to do
decimeters to kilometers. So we want to convert a tenth
of a meter to a thousand meters. What we notice that’s
just powers of 10. So what you have to do
is look at the deci-, right there; deci’s right here. Remember, da is deca-,
d is just deci-, and the last letter tells
us what type we have, so we’re dealing with lengths. We want to go from deci-
to kilometers, so we’ve got to go straight to the base —
you can’t skip the base unit. Remember, they’re tenths, ones. And then from the ones, we go
to deca-, and then from deca- to hecto-, and then
from hecto- to kilo-. So this is our conversion
method — we have to turn deci- into
base, the base into a deca-, deca- into hecto-,
and hecto- into kilo-. Well, here’s how clean that is
— it’s all about the direction. All that we’re dealing with is
powers of 10, so if you want to go from deci- to kilo-, you
just go over one, two, three, four, because that’s all we
did — one, two, three, four. Four loops there,
four loops here, and that’s what our
new decimal is. So the answer is this. So 300 decimeters is the
same as three-hundredths of a kilometer, so
.03 kilometers. Isn’t that nice? Watch. So hecto- goes to centi-. So we’re going to start here,
we’ve got to go this direction. We don’t skip the base, and
we’ve got to go all the way to centi-, so that’s
one, two, three, four, and you’re going this direction. Last one, we went
this direction. So we have to go in the same
direction that we move — one, two, three, four. And now we have centiliters. Isn’t that nice? It’s nice and clean. Watch, we’ll do it again now. So we’re going to start with
grams; grams is right in here. That’s our base, we put
the dot here, and we’ve got to go grams to centigrams… so over one, two, to centi-. And we went to the right. So the decimal will
always be after the number, so we go over one, two,
so it’s 700 centigrams. And that’s it! This is metric unit
conversion — there’s no… there’s no tricks
or anything to it. You just move the
decimal; that’s it. And that’s why the metric
system is beautiful. So I’ve got some
problems for you to try — the little hint and
examples there. All you’re going to do
is look at what we did up here, and move the decimal. That’s it, okay? So you’re going to
convert from centi-, convert the following to centi-. So if you start with
decimeters — remember, it’s, “King Henry Died
By Drinking Chocolate Milk.” Move that over a little bit… there we go. Alright. So if we want to
go from deci- to centi-, we’re at deci- right here — to centi-, and that’s
milli- off to the side. That’s one to the right,
so that’s why we go one to the right, and you
get 45 centimeters. So you’re going to convert
all of these to centimeters. If there is no prefix in front, that means it’s our
base unit right here. Base, it’s just a meter. Remember, it’s like three
feet, but this is .3 of it. So convert them. Give them a shot, hit
Pause now, and try it. If you get them wrong,
go back and correct them and see why you made a mistake. Hit Pause now. Alright, and here
are the answers. So again, check them; if you
get them wrong, go back and look and see why they’re wrong. Make sure that you have
the correct units — these are all kilo- so you
should have kilometers, because it’s meters;
this is liters, you should have kilometers;
this is grams, you should have kilograms. This is grams, you
have kilograms. On the ones above, we
wanted just a base unit — so grams, meters, or liters; so
you should have meters, grams, meters, and liters, because
that’s the last letter — number with the letter in front. That’s how many of
these you have. Alright. Thank you. Alright, thank you.

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