Converting US customary units of volume
Sal converts between gallons, quarts, pints, cups, and fluid ounces. Created by Sal Khan.
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- at0:52it shows that that the amount of pints you have is equal to twice as many cups, but if you are trying to work your way backwards by doing 16 divided by 2 (8) but the amount of cups you have is a odd number so how are you supposed to find out how many pints there are-? (I'm not sure if it's possible to do that so if not I just wasted like 5 mins typing this-)(4 votes)
- That’s a time you can apply your knowledge about remainders! You can use this for other numbers, but as an example let’s say you’re trying to convert 11 cups to pints. 11 ÷ 2 doesn’t come out evenly, though, so how can we communicate a quotient that isn’t a whole number?
11 ÷ 2 = 5R1
For this problem, it would also make practical sense to write the answer as 5 pints and 1 cup.
11 ÷ 2 = 5 ½
Your answer would be 5 ½ pints.
11 ÷ 2 = 5.5
Your answer would be 5.5 pints.
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So right here we've listed two quantities or two fluid volumes right over here in terms of gallons, 1 gallon and 2 gallons. And what I want to do in this video is try to convert this quantity of fluid, this volume of fluid, I want to convert it into these other units within the US customary system. So I encourage you to pause the video and first try to do the 1 gallon. Try to convert it into quarts, pints, cups, and fluid ounces. Well, 1 gallon is equal to 4 quarts. So we can just multiply by 4. 1 quart is equal to 2 pints, so we can multiply this by 2. So 4 quarts, each of them are 2 pints. 4 times 2 gets us to 8 pints. Each pint is equal to 2 cups, so we have 8 pints. Each of them are equal to 2 cups. We're going to have 16 cups. And then finally, if we're converting from a cup to a fluid ounce, each cup is 8 fluid ounces. So if we have 16 cups, it's going to be 16 times 8. 8 times 8 is 64, and it's going to be twice that. That's going to be 128 fluid ounces. Now, let's do the same thing with 2 gallons. Try to convert that into quarts, pints, cups, and fluid ounces. And I encourage you to pause the video and try it on your own first. Well, same idea. 1 gallon is equivalent to 4 quarts. So 2 gallons are going to be 2 times 4 quarts, or 8 quarts. quart is 2 pints. So if we want to go from quarts to pints, we'd want to multiply by 2. So this is going to be 16 pints. And then each pint is 2 cups. So multiplying 16 of them, then that's going to be 32 cups. And then finally, each cup is 8 ounces. 32 times 8 is going to be? Let's see, it's going to be 256. And notice something here. When we went from 1 gallon to 2 gallons, we essentially increased the quantity of gallons by 2, or we multiplied by 2. And you see that across the board here as it's going from 4 quarts to 8 quarts. This is going from 8 pints to 16 pints. This is going from 16 cups to 32 cups, going from 128 fluid ounces to 256. When you increase the volume in gallons by a factor of 2, you're, of course, going to increase the volume in any unit you measure it in by a factor of 2.