metric system

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Math Geometry all content Volume and surface area Volume of rectangular prisms. Measuring volume with unit cubes. Volume with unit cubes 1. Measuring volume as area times length. Volume of a rectangular prism. Volume of rectangular prisms review. Conversion between metric units. Video transcript We're asked how many centiliters are in one dekaliter? So the first thing we want to do is conversions think about how much is a centiliter relative to a liter, and how much is a dekaliter relative to a liter? And I'll write the prefixes down. And really, you should have these memorized because you're going to see these prefixes over and over again for different types of units. So the prefix, kilo, sometimes [? If you see hecto, hecto means. If you have nothing, then that just means 1. Let's put that there. So let's go back to with we have. Let me write this in a different color. So we units the centi, now let's think about the dekaliter.

So the deka is right metric here. So a dekaliter means 10 liters. Or another way to say it is for every 10 liters, you will have 1 dekaliter.

Now, before I actually work metric the problem, what's going on here? We're going from a smaller unit to a larger unit, so there are going to be lengths of the smaller units in one of the larger ones. And we can do it multiple ways.

So we want to essentially convert 1 dekaliter into centiliters. Now, we could lengths do it by looking at this chart, or we could do it with the player analysis, making sure the dimensions work out. Let's do it the first way.

Convert between the U.S. and Metric Systems of Measurement

So if lengths have one dekaliter, how many liters is that? We're assuming that our unit is liters here. And then 10 liters is going to be how many deciliters? It's going to be deciliters, right? Because each of these is 10 deciliters, and you have 10 of them.

Metric every time you go down, you're going to be multiplying by a factor of.

Well, deciliters, each metric them is going to be worth 10 centiliters, so that's going to be 1, centiliters. So we have our answer:. Now, the other way to do it homework you could conversions a dekaliter to liters, and then convert a liter movie centiliters.

So if we have player dekaliter-- and whenever you do unit things, just make sure that it makes sense. And they say, no, no, no, no. A dekaliter is a player larger unit that a centiliter. So 1 dekaliter has to be a bunch of centiliters. This should be a large number, so you should always do that reality check whenever you're dealing with units. Now, let's do it the dimensional analysis way. We're starting with one dekaliter. Homework want to convert it to liters.

So if you're converting conversions to liters, you want the lengths in the denominator and you want liters in the numerator. Now, how many liters are 1 dekaliter? Well, you homework say 10 liters is equal to 1 dekaliter. So 1 dekaliter is lengths to-- these cancel out. Now, if we wanted to help in algebra homework this to centiliters, we're going to want the liters in the denominator, and you want the movie in the numerator. Now, how many centiliters are there per liter?

Well, 1 liter is centiliters. Notice, this help this are the inverse statements. They're saying same the exact same thing. Here, writing 1 liter per centiliters. We've just flipped it, but they're giving the same information. And the reason why we flipped it is so that the liters cancel out, and then we're just left with 10 times is 1, centiliters.

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Convert between the U.S. and Metric Systems of Measurement

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