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CCSS.Math:

we're asked to sort the following units of measurement into two categories US customary units and metric units so these are just two different systems and you'll get more and more familiar with them then indicate whether each unit measures length weight mass or volume so let's do the first let's see which of these are US customary units versus metric units so the leader is a metric unit leader is a metric unit you would use it in the metric system a gallon is a US customary unit we've been dealing with that when you if you fill your gasoline in Europe you're going to be filling it in terms of leaders in the u.s. you're going to be filling it in terms of gallons now we're going to talk about whether their units of volume and whatnot in a little bit decigram that is metric system that is metric system metric system in general whenever you see these prefixes deci centi kilo you're dealing with the metric system no one ever talks about a kilo pound I guess you could but no one really talks about it same thing millimeter this is metric system the gram is metric system meters metric system the foot is the u.s. cuss us customary unit we'll talk about whether it's distance or any of that a little bit kilogram once again it is metric units it is metric blufor metric in case you haven't gotten what I'm doing here blue for metric red for US customary unit so I guess magenta sent a liter that is metric centimeter meters our metric and notice we have the prefix in both cases centi means one hundredths cup that is US customary units you have to do that in the magenta cup US customary units meter that is the metric system meter is a metric system pound u.s. customary units is getting a little tedious inch same thing that's what we use in the US ounce we use that in the US and then the yard we also use that in the US now we've divided them up all the magenta ones are used in the US all of the blue ones are used really in the rest of the world and actually some places the US as well I think a lot of the world is frustrated that the US doesn't that we're not all converted to this because the metric system is actually a little bit more logical it's easy to just figure out what it's saying and we'll deal with that in more detail in the future now the next thing we need to figure out is whether something is mu measure of length weight / mass and they're not exactly the same thing mass is how much of a substance you have weight is how much grab the force with which gravity is pulling on that mass and it could change depending on what planet you're on but in you know on earth they they tend to be used interchangeably so we'll use it roughly interchangeably here and then you have volume or how much space something takes up so this is distance this is you know moving in one dimension this is how mass is how much stuff there is weight is how much the force that that stuff is pulled on I'm gonna plant it by gravity or I guess a star anywhere and volume is how much space does that stuff take up now let's think about it liter liter is volume this right here is volume how much space do you take up gallon is also volume that's in the in the US and in Europe or in the metric system it would be liter decigram gram gram is a unit of mass is a unit of mass so decigram just means one tenth of a gram millimeter meter is a unit meter right here that is a unit of distance or of length of length milli meter milli means one thousandth of a meter foot that is also a unit of length kilogram that just means 1,000 grams kilo means a thousand gram we already said is a unit of mass centiliter that means one hundredth of a liter liter we already figured out is a unit of volume centimeter we already figured out meter is a unit of length centimeter means one hundredth of a meter so this is a unit of length a unit of length cup we've seen multiple times already it is a unit of volume how much space does something take up meter that is length seen it multiple times already pound that is actually a unit of weight that is a unit of weight an inch is a unit of length we're all familiar with it and ounce is when this you have to be careful here if someone just says an ounce that is 1/16 of a pound it is a unit of weight if it was written fluid ounce then we'd be talking about 1/16 of a pint and then it would be a unit of volume but this is just on sits a unit of weight 1/16 of a pound and then finally a yard is a unit of length and we are done