WEBVTT 00:00:00.730 --> 00:00:03.300 We're asked to sort the following units of measurement 00:00:03.300 --> 00:00:06.860 into two categories: U.S. customary 00:00:06.860 --> 00:00:10.260 units and metric units. 00:00:10.260 --> 00:00:12.430 So these are just two different systems. You'll get 00:00:12.430 --> 00:00:13.840 more and more familiar with them. 00:00:13.840 --> 00:00:17.110 Then indicate whether each unit measures length, weight, 00:00:17.110 --> 00:00:18.390 mass, or volume. 00:00:18.390 --> 00:00:20.970 Let's do the first. Let's see which of these are U.S. 00:00:20.970 --> 00:00:23.590 customary unit versus metric units. 00:00:23.590 --> 00:00:27.900 So the liter is a metric unit. 00:00:27.900 --> 00:00:30.020 You would use it in the metric system. 00:00:30.020 --> 00:00:33.390 A gallon is a U.S. customary unit. 00:00:33.390 --> 00:00:35.700 We've been dealing with that. 00:00:35.700 --> 00:00:39.090 If you fill your gasoline in Europe, you're going to be 00:00:39.090 --> 00:00:40.410 filling it in terms of liters. 00:00:40.410 --> 00:00:41.730 In the U.S., you're going to be filling 00:00:41.730 --> 00:00:43.570 it in terms of gallons. 00:00:43.570 --> 00:00:45.190 And we're going to talk about whether they're units of 00:00:45.190 --> 00:00:46.970 volume and whatnot in a little bit. 00:00:46.970 --> 00:00:48.985 Decigram, that is metric system. 00:00:53.530 --> 00:00:56.750 In general, whenever you see these prefixes, deci, centi, 00:00:56.750 --> 00:00:59.000 kilo, you're dealing with the metric system. 00:00:59.000 --> 00:01:00.840 No one ever talks about a kilopound. 00:01:00.840 --> 00:01:03.010 I guess you could, but no one really talks about it. 00:01:03.010 --> 00:01:04.379 Same thing, millimeter. 00:01:04.379 --> 00:01:05.519 This is metric system. 00:01:05.519 --> 00:01:07.190 A gram is metric system. 00:01:07.190 --> 00:01:08.700 Meter is metric system. 00:01:08.700 --> 00:01:12.700 The foot is a U.S. customary unit. 00:01:12.700 --> 00:01:14.750 We'll talk about whether it's distance or any of that in a 00:01:14.750 --> 00:01:15.450 little bit. 00:01:15.450 --> 00:01:17.900 Kilogram, once again, it is metric units. 00:01:20.630 --> 00:01:22.750 In case you haven't gotten what I'm doing here, blue for 00:01:22.750 --> 00:01:27.540 metric, red for U.S. customary units, or I guess magenta. 00:01:27.540 --> 00:01:31.720 Centiliter, that is metric. 00:01:31.720 --> 00:01:34.180 Centimeter, meters are metric. 00:01:34.180 --> 00:01:36.880 And notice we have the prefix in both cases. 00:01:36.880 --> 00:01:39.110 Centi means 1/100. 00:01:39.110 --> 00:01:42.840 Cup, that is U.S. customary units. 00:01:42.840 --> 00:01:44.800 I have to do that in the magenta. 00:01:44.800 --> 00:01:47.140 Cup, U.S. customary units. 00:01:47.140 --> 00:01:49.830 Meter, that is the metric system. 00:01:52.360 --> 00:01:55.530 Pound, U.S. customary units. 00:01:55.530 --> 00:01:57.220 It's getting a little tedious. 00:01:57.220 --> 00:02:01.250 Inch, same thing, that's what we use in the U.S. Ounce, we 00:02:01.250 --> 00:02:05.600 use that in the U.S. And then the yard, we also use that in 00:02:05.600 --> 00:02:06.110 the U.S. 00:02:06.110 --> 00:02:07.190 Now we've divided them up. 00:02:07.190 --> 00:02:11.120 All the magenta ones are used in the U.S. All of the blue 00:02:11.120 --> 00:02:13.230 ones are used really in the rest of the world, and 00:02:13.230 --> 00:02:15.790 actually some places in the U.S. as well. 00:02:15.790 --> 00:02:18.260 I think a lot of the world is frustrated that the U.S., that 00:02:18.260 --> 00:02:20.450 we're not all converted to this because the metric system 00:02:20.450 --> 00:02:21.760 is actually a little bit more logical. 00:02:21.760 --> 00:02:23.870 It's easy to just figure out what it's saying, and we'll 00:02:23.870 --> 00:02:25.970 deal with that in more detail in the future. 00:02:25.970 --> 00:02:29.090 Now the next thing we to figure out is whether 00:02:29.090 --> 00:02:33.290 something is a measure of length, weight/mass-- and 00:02:33.290 --> 00:02:34.640 they're not exactly the same thing. 00:02:34.640 --> 00:02:38.580 Mass is how much of a substance you have. Weight is 00:02:38.580 --> 00:02:41.060 how much force with which gravity is 00:02:41.060 --> 00:02:42.590 pulling on that mass. 00:02:42.590 --> 00:02:44.690 And it would change depending on what planet you're on. 00:02:44.690 --> 00:02:47.870 But on Earth, they tend to be used interchangeably, so we'll 00:02:47.870 --> 00:02:49.930 use it roughly interchangeably here. 00:02:49.930 --> 00:02:51.680 And then you have volume, or how much space 00:02:51.680 --> 00:02:52.820 something takes up. 00:02:52.820 --> 00:02:54.380 So this is distance. 00:02:54.380 --> 00:02:58.000 This is moving in one dimension. 00:02:58.000 --> 00:02:59.790 Mass is how much stuff there is. 00:02:59.790 --> 00:03:02.540 Weight is how much the force that stuff is pulled on, on a 00:03:02.540 --> 00:03:05.470 planet, by gravity, or I guess a star anywhere. 00:03:05.470 --> 00:03:10.030 And volume is how much space does that stuff take up. 00:03:10.030 --> 00:03:11.000 Now let's think about it. 00:03:11.000 --> 00:03:13.580 Liter is volume. 00:03:13.580 --> 00:03:15.380 This right here is volume. 00:03:15.380 --> 00:03:17.390 How much space do you take up. 00:03:17.390 --> 00:03:19.860 Gallon is also volume. 00:03:19.860 --> 00:03:23.390 That's in the U.S. And in Europe, or in the metric 00:03:23.390 --> 00:03:24.830 system, it would be a liter. 00:03:24.830 --> 00:03:27.420 That's a gram. 00:03:27.420 --> 00:03:29.745 Gram is a unit of mass. 00:03:32.760 --> 00:03:36.110 So decigram just means 1/10 of a gram. 00:03:36.110 --> 00:03:36.810 Millimeter. 00:03:36.810 --> 00:03:38.610 Meter is a unit. 00:03:38.610 --> 00:03:43.890 Meter right here, that is the unit of distance or of length. 00:03:43.890 --> 00:03:48.500 Millimeter, milli means 1/1,000 of a meter. 00:03:48.500 --> 00:03:52.570 Foot, that is also a unit of length. 00:03:52.570 --> 00:03:56.250 Kilogram, that just means 1,000 grams. 00:03:56.250 --> 00:03:57.320 Kilo means a thousand. 00:03:57.320 --> 00:04:00.800 Gram, we already said, is a unit of mass. 00:04:00.800 --> 00:04:04.900 Centiliter, that means 1/100 of a liter. 00:04:04.900 --> 00:04:08.640 Liter, we already figured out, is a unit of volume. 00:04:08.640 --> 00:04:10.330 Centimeter, we already figured out. 00:04:10.330 --> 00:04:12.700 Meter is a unit of length. 00:04:12.700 --> 00:04:15.650 Centimeter means 1/100 of a meter. 00:04:15.650 --> 00:04:20.630 So this is a unit of length. 00:04:20.630 --> 00:04:23.370 Cup, we've seen multiple times already. 00:04:23.370 --> 00:04:27.110 It is a unit of volume, how much space does 00:04:27.110 --> 00:04:28.240 something take up. 00:04:28.240 --> 00:04:30.390 Meter, that is length. 00:04:30.390 --> 00:04:32.210 We've seen it multiple times already. 00:04:32.210 --> 00:04:34.820 Pound, that is actually a unit of weight. 00:04:38.720 --> 00:04:42.490 An inch is a unit of length. 00:04:42.490 --> 00:04:43.950 We're all familiar with it. 00:04:43.950 --> 00:04:48.020 An ounce-- you have to be careful here-- if someone just 00:04:48.020 --> 00:04:50.830 has an ounce, that is 1/16 of a pound. 00:04:50.830 --> 00:04:53.330 It as a unit of weight. 00:04:53.330 --> 00:04:56.460 If it was written fluid ounce, then we'd be talking about 00:04:56.460 --> 00:04:59.790 1/16 of a pint, and then it would be a unit of volume. 00:04:59.790 --> 00:05:01.300 But since it's just ounce, it's a unit of 00:05:01.300 --> 00:05:03.380 weight, 1/16 of a pound. 00:05:03.380 --> 00:05:07.690 And then finally, a yard is a unit of length. 00:05:07.690 --> 00:05:09.460 And we are done.