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Practice: Metric conversions word problems Video transcript So I have two conversion scenarios right over here. I want to convert 3 kilograms into milligrams. And I want to convert 4 tons into ounces. So this is clearly in the metric system.
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And this right over here is in the US customary system. So I encourage you pause this video and try to do these conversions on your own. Well, to think about this one, we just have to think about what these prefixes mean. Option kg I could rewrite this is 3 kilograms, and we're going to convert it into some amount of milligrams.
And we've already seen that the prefix "kilo," this literally means 1, And the prefix option kg means 1 over 1, or 1, of a gram. So let's just convert to grams first. Let's go from kilograms to grams.
And then we can go from grams to milligrams. So we could say that 3 kilograms is going to be equal to 3 times 1, grams.
So this is equal to 3, This is literally 3, grams. That's one way to interpret "kilo," so this gets us to 3, grams. Now, how to go from the grams to the milligrams? Well, we already said right over here that 1 milligram-- Let me write it here, 1 milligram is equal to 1 over 1, or 1, of a gram.
But another way of thinking about this statement is that 1 gram is equal to 1, milligrams. So if we keep this in mind, we have 3, grams.
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Each of those are going to be equal option kg 1, milligrams. So this is equal to option kg, grams. Each of those are equivalent to 1, milligrams, so times 1, And this is going to give us the number of milligrams. And what is this going to be?
This is going to get us 3 million milligrams. Another way to think about this multiplication, I've got 3 zeroes, here 3 zeroes here, so my final product should-- so 3 times 1 is 3, and then I should follow that with the 6 zeroes so I get 3 million milligrams. Now let's do the same thing over here.
Let's convert this US customary ton right over here to ounces. What we'll do first is we'll go to pounds, and then from pounds we can go to ounces.
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And we know that 1 ton is equal to 2, pounds. So 4 tons are going to be equal to, well each of those are going to be 2, pounds. So it's going to be 4 times 2, pounds.
Which is equal to 8, pounds. Make sure I have some space here. Now how many ounces are in each of those pounds? Well, we know that 1 pound, we know that 1 pound is equal to 16 ounces. So 8, pounds, so this over here-- so let me write this, 8, pounds.
If each of those 8, have 16 ounces, or equivalent to 16 ounces, this is going to be 8, times 16 ounces. So what is 8, times 16? So this is going to be 8 times 16 is 80 plus 48 is But we want to do 8, times, so it's going to beSo 4 tons are a lot of ounces.