>>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.