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4th grade
Course: 4th grade > Unit 14
Lesson 6: Converting units of volumeConverting US customary units of volume
Sal converts between gallons, quarts, pints, cups, and fluid ounces. Created by Sal Khan.
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- 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?
Remainder notation:
11 ÷ 2 = 5R1
For this problem, it would also make practical sense to write the answer as 5 pints and 1 cup.
Fractions:
11 ÷ 2 = 5 ½
Your answer would be 5 ½ pints.
Decimals:
11 ÷ 2 = 5.5
Your answer would be 5.5 pints.
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Video transcript
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.