 This video is about doing unique conversion using dimensional analysis. I'm gonna start with one example. So let's say I have 1,250 Canadian dollars and I want to convert this to Swiss francs. So what I do, I start with what I am given so the 1,250 Canadian dollars and then I'm thinking of what do I want to get rid of? In this case I want to get rid of the dollar, the old unit. So what I do is I'm multiplying with a fraction and I'm putting the old unit at the bottom and the new unit is gonna go at the top. So the Swiss francs. And now all I have to do I have to look up, okay, how many, what's the exchange range between Swiss francs and Canadian dollars? So right now I have one Canadian dollar. I have to pay 0.76 Swiss francs. So what I do, I look, okay, this is my old unit. So my old unit goes down here, I had one dollar. And my unit is the one with the Swiss francs here, 0.76. And then I do a little bit of dimension analysis. I say, okay, that dollar cancels that dollar. So now the unit that I will get at the end is Swiss francs. So the unit here will be Swiss francs. And all I have to do is I have to do 1,250 times 0.76 divided by one. I take my calculator, 1,250 times 0.76. And I get the answer that this is equal to 950 Swiss francs. So this was example one. So let's do a bit more complicated one. So let's say example two. I want to know how many liters is there in one cubic meter. What I do know is that one liter is equal to a decimeter cube and one decimeter is equal to 0.1 meter. So what do we do? Again, we start with what we're giving at the beginning. So I was given with one meter cube. But now look, instead of writing meter cube, I'm going to write meter three times in a row. This is meter cube, right? Then I multiply by a fraction. What do I want to get rid of? Well, I want to get rid of the meter. Do I have a conversion from meters to liters? No, I don't. But I have one to decimeters. So I'm going to be writing decimeter on top. And I know from this table I have one decimeter is 0.1 meter. And then I do my unit analysis. Okay, that meter here cancels the meter here. But we have two left. So what do we do? Well, we do it again. One decimeter is 0.1 meter. I do my unit analysis. I have one left, so I have to do it once more, times. One decimeter is 0.1 meter. And in this analysis, my meter cubes are gone. And now I have decimeter cube. So what do I want to get rid of? New one. I want to get rid of my decimeter cube. So one decimeter cube, which I know, is equal to one liter. So I have one decimeter, two decimeters, three decimeters, one, two, three, canceling the three here. And what I'm going to put in my calculator now is one times one divided by 0.1, times one divided by 0.1, times one divided by 0.1, times one divided by one. And what I get is that this is equal to 1,000 meters.