Converting Measurements in the Metric System - Free Educational videos for Students in K-12

Converting Measurements in the Metric System - By tecmath

Transcript


00:0-1	Welcome to take Math channel . This video is just
00:02	a really quick video looking at converting between units in
00:06	the metric system . Okay , so sit back and
00:08	enjoy and if you like this video , please remember
00:10	to hit the like button and subscribe . So we're
00:13	going to be having a look at length units that
00:14	is meters kilometers millimeters , even centimeters . We're going
00:18	to be having a look at weight measurements in terms
00:20	of kilograms and grams , even milligrams . And we're
00:23	gonna be looking at volume units where we're gonna be
00:25	having a look at things like letters and milliliters .
00:28	Okay . These are not the only units to get
00:29	used . Uh , but these are the ones we're
00:32	gonna be mainly dealing with . So for the first
00:34	type of units we're going to be having a look
00:35	at , we're going to look at length units .
00:37	Okay , so the most basic of length units that
00:40	we have in the metric system is the meta .
00:43	The meta , which is written as an M is
00:46	a symbol was first to find back in the 17
00:50	hundreds , I'm pretty sure where , what they did
00:52	is they got the North Pole and they looked at
00:55	the equator and they basically divided up 10 million times
00:59	. They looked at the distance between these going through
01:01	Paris and divided it up 10 million times in the
01:04	length that they got was the meta . Okay .
01:07	So other units that we have in length , we
01:09	could have 1000 of these meters and it would be
01:11	equal to one kilometer killer means 1000 it's written like
01:16	this . The abbreviation is km . All right .
01:20	So 1000 m is a kilometer . We also have
01:23	This is where we could get divide up a meter
01:25	1000 times and we would end up with what's known
01:28	as a millimeter . Okay . And we'd write this
01:31	as two M's . Alright , so converting between these
01:33	guys is fairly simple . There's 1000 millimeters in a
01:36	meter and there's 1000 m in a kilometer . Alright
01:39	, so if there's 1000 of these in one of
01:42	these to go from one to the other , This
01:45	is 1000 for one of these , we would divide
01:48	by 1000 , there's 1000 of these guys in one
01:51	of these to go from 1000 to 1 . We
01:53	were divide by 1000 also to go back the other
01:57	way . What we would do is we would multiply
02:00	by 1000 . Okay , so this would be times
02:02	1000 and to go from meters two millimeters . We
02:06	would also multiply by 1000 . All right , so
02:09	I'll give a couple examples for you to solve .
02:11	So we had , I want to know what 8000
02:14	millimeters is equal to in terms of meters . I
02:17	would like to know why 2.3 kilometers is in terms
02:22	of also meters And what about we do 5000 and
02:27	90 m in two kilometers . Alright , so give
02:30	these to go and see if you can solve these
02:33	. So first off 8000 millimeters to meters , we're
02:36	going from millimeters to meters . We're dividing by 1000
02:39	. So 8000 , divided by 1000 is equal to
02:42	eight . Alright , 2.3 kilometers . Okay , we're
02:45	going from kilometers two m . Okay , And we're
02:47	seeing what that is in meters . Okay , there's
02:49	1000 m in a kilometer . We're going to be
02:51	multiplying by 1000 this time . So 2.3 times 1000
02:55	becomes 2300 . Okay , 5000 and 90 m How
02:59	much is is in kilometers ? We're going from meters
03:03	two kilometers . We're dividing by 1000 . Okay ,
03:05	so we're dividing by 1000 . We're going to get
03:07	the answer of 5.9 you could put a zero there
03:12	if it makes you feel comfortable , it's not gonna
03:13	affect the answer . You're also going to notice that
03:16	this zero stays here . Okay . All we've really
03:18	done is we've moved the decimal place . Alright ,
03:20	so that is converting between units of measurement . You're
03:24	going to see in a second that I've missed a
03:25	particular one though . A couple of you guys are
03:27	going to say , well what about the other particular
03:28	unit that we're going to use and I'm going to
03:30	get to that in a little bit at the very
03:31	end , it's in centimeters and you'll see why I
03:34	get to this at the very end . When I
03:35	do so the next type of measurement we're going to
03:37	be having a look at is volume measurements . Where
03:40	we're going to be having a look at leaders .
03:42	Okay . You can see at the moment I've got
03:43	millimeters and meters and kilometers up . We don't use
03:46	meters for volume . We're gonna be using letters .
03:49	I'll change that in a second . But the other
03:51	thing that's worth knowing is how they get what a
03:54	leader is . Now . A leader is equal to
03:56	10 centimeters by 10 centimetres by 10 centimetres in the
03:59	amount of liquid that would hold , the amount of
04:01	water that would hold for instance . But I like
04:03	to think about it as being 1000 liters is equal
04:07	to how much fits into a cubic meter . So
04:09	a meter by meter by meter , I could draw
04:12	that meter by a meter by meter , one m
04:17	one m 1 m holds 1000 liters of water .
04:23	Okay , so , and that's what volume is based
04:26	around . So I'll get rid of that . But
04:27	I've kept this up for a reason because this is
04:29	fairly interchangeable in the metric system in terms of numbers
04:33	a letter I could put here instead instead of meters
04:36	1000 liters is called a killer leader . Okay ,
04:39	so I just get rid of the m there and
04:41	I would end up with killer leaders . And you
04:43	guessed it . If I divide a leader 1000 times
04:46	, I end up with one miller leader . Okay
04:49	, so you can go through and solve a few
04:51	questions on these . Uh , now we don't actually
04:53	use killer leaders too much unless they were usually just
04:55	use a miller leaders and leaders . It does get
04:58	used to have big things like your leaders and that
05:00	sort of deal . But let's stick simple for the
05:03	minute . Okay , so if we have say a
05:06	375 can of coke , how much is that in
05:11	liters ? What about we have uh three liters .
05:16	How much is that in mills ? And what about
05:19	we do ? What's 90 million liters ? Okay ,
05:22	so see if you can solve these . Alright ,
05:25	so 375 mils were going from mills . The leaders
05:29	, We are dividing by 1000 . This divided by
05:32	1000 . We're going to move the decimal place three
05:34	times a decimal place is going to end up in
05:36	front here . We're gonna end up with zero .375
05:41	. Okay , Three leaders are going from leaders across
05:44	to Miller Leaders . This is multiplying by 1000 .
05:48	3 times 1000 is equal to 3000 mill . All
05:52	right . What about 90 mil to Leaders were going
05:55	from Mills to Leaders were gonna be dividing by 1000
05:58	. So we're gonna start with 90 . We got
06:00	the decimal place here and we're going to move the
06:02	decimal place one , times . Put a zero in
06:06	there . This is equal to 0.9 liters . Okay
06:11	, so that is volume . All right . But
06:14	what about the next type of measurement where we're gonna
06:16	be having a look at weight ? Which is looking
06:18	at kilograms ? How do they work out what a
06:20	kilogram is ? Well , if you have one liter
06:23	of water that weighs one kg , Okay , And
06:27	that's how you work out how big your kilogram is
06:29	. Let's have a look here . Well , so
06:31	the base unit of the weight is not kilograms though
06:34	. It's just gonna be plain old grams . Okay
06:37	. And I'd write that down like this graham .
06:39	That's just a g you can guess 1000 g is
06:42	equal to one kg . I got . What do
06:44	you reckon if I cut a gram up 1000 times
06:47	what I'll get ? Well , I get rid of
06:49	this leaders here and I'm going to end up with
06:51	instead a milligram . Pretty simple . Right ? And
06:54	that's how this works . Is the metric system drill
06:55	easy , isn't it ? By the way , the
06:57	one I haven't got here is 1000 kg . You
07:00	have 1000 kg . I could add this one as
07:01	well . You could don't divide by 1000 or whatever
07:05	like that . But 1000 kg is what we call
07:09	a ton . Okay . Ah And then all right
07:12	, I'm going back this way . You would multiply
07:14	by 1000 . So there's 1000 kg in a ton
07:17	. All right , so let's do a few questions
07:19	on these . What about first off we have ?
07:22	How much is 250 mg In g ? Okay .
07:29	What about 1350 g ? What is that in kg
07:35	? And also what about we do um 2.5 tons
07:41	. How much is that in kg ? You're gonna
07:44	see we could do the bigger ones where we're bouncing
07:46	between but I kind of reckon that's a little bit
07:48	be cute when they do that and that you don't
07:50	often have to advance between , you know , say
07:52	kilograms and milligrams so much . It's usually just a
07:56	conversion between these guys . So I'm gonna largely leave
07:59	that out . Okay , so we're going from milligrams
08:02	to grams , milligrams to grams . You can see
08:05	we're dividing by 1000 so 250 divided by 1000 .
08:08	We're moving the decimal place three times 123 divided by
08:11	1000 0.25 , ah 1350 g . And we're going
08:18	across the kilograms , we're dividing by 1000 once again
08:20	, so we're moving the desks in place 123 times
08:23	, we're ending up with 1.35 kg , 2.5 tons
08:29	. We're going to kg now . So there's 1000
08:32	kg in a ton . uh 2.5 times 1000 is
08:36	2000 500 kg . So it's pretty simple . Right
08:41	? Look , and that's how the metric system works
08:43	. This could be things like even you could think
08:45	about with computers , bytes , kilobytes and then gets
08:48	into se megabytes , gigabytes , terabytes each time going
08:52	up by a factor of 1000 . We also can
08:54	go smaller and smaller . We divide by 1000 divide
08:57	by 2000 . And getting millie say milligrams , we
09:00	could divide by 2000 and go into micrograms , divide
09:03	by 1000 . Again , micrograms , we get two
09:06	nanograms . Okay , uh , and so on ,
09:08	and so forth . But there is one type of
09:11	unit . I have missed out and I'm going to
09:13	talk about that right now . Okay , so we've
09:15	moved back to length units again , because there's a
09:18	particular unit I want to talk about in the length
09:21	units , which I haven't talked about yet . And
09:22	that is centimeters Okay , centimeters . I'll write that
09:26	down . Uh centimetres . Okay . Is written as
09:32	C M . Alright now , centimeters are a little
09:35	bit different because everything we've done so far has been
09:37	either dividing or multiplying by 1000 . It's fairly simple
09:41	. But centimeters I find throw a lot of students
09:43	because centimeters are not where we're dividing by 1000 .
09:47	In fact what we have in one m , it
09:50	is equal to 100 centimeters and ah one centimeter is
09:56	equal therefore to 10 millimeters centimeters are disused because there
10:01	are a handy little our unit there about probably ,
10:03	I guess the width of one of your fingers now
10:05	look would be easy to ignore . Centimeters . They
10:07	don't fit the particular trend here . However , they
10:10	do come up whole awful lot time . I'm going
10:12	to include them in what we're doing here . All
10:15	right . So say I was saying I wanted to
10:17	know 30 cm and how much that was in mm
10:23	or say I had 270 millimeters and I wanted to
10:28	know what that is in centimeters . I can also
10:31	say I want to know what 100 and 95 centimeters
10:35	is equal to in meters . So let's give this
10:38	a go right now . Okay , so 30 centimeters
10:41	we're going to go to millimeters . So we're going
10:43	from centimeters two millimeters . You're going to see that
10:45	we're getting 10 times as big , so 30 times
10:49	10 is 300 . We're going from millimeters here ,
10:53	270 millimeters two centimeters millimeters . Two centimeters . We're
10:58	going from 10 to 1 . We're going to divide
11:00	by 10 , so 270 divided by 10 is equal
11:04	to 27 . We're going to 100 and 95 centimeters
11:08	to meters centimeters to meters is 100 centimeters in a
11:12	meter . We're going to go and divide by 100
11:15	. So 195 divided by 100 . We're going to
11:19	move the decimal place two times 12 We get 1.95
11:24	m . So that's just a really , really brief
11:27	, easy look at converting between units in the metric
11:31	system . What do you think ? Nice and easy
11:33	. Please let us know in the comments if you
11:35	like it and if you do like the video ,
11:37	please remember to like Anyway , thank you for watching
11:39	. Hopefully that video was of some help to you
11:41	. We'll see you next time . Bye .

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