Converting Measures - Free Educational videos for Students in K-12

Converting Measures - By Anywhere Math

Transcript


00:0-1	feet yard miles , inches , courts , leaders ,
00:05	kilograms , pounds . You're probably getting a little bit
00:09	stressed just thinking about all those units , but have
00:12	no fear because anywhere Math is here . Welcome to
00:33	anywhere . Math , I'm Jeff , Jacobson . And
00:35	today we're talking about converting units . All right ,
00:39	today is all about converting units . Now , you
00:42	should be pretty familiar with uh both types of systems
00:47	. The customary units that the U . S .
00:50	Uses uh and metric units . The metric system that
00:54	pretty much the entire world uses except the U .
00:56	S . Uh Quick reminder , customary units are things
01:00	like inches , uh feet yards miles . Uh then
01:09	for volume got things like cups gallons . Right ?
01:15	Uh we've got pounds . Okay . Uh those are
01:20	your customary units , if you're from the US ,
01:22	that's what you're used to write . Uh if you're
01:25	from another part of the world , that's not the
01:27	U . S . You're used to the metric system
01:29	. Metric units are very simple , they're really easy
01:32	. They're all based on the power of 10 .
01:34	So you've got things like millimeters , right ? Or
01:41	centimeters ? Yeah , Yeah . Right . Obviously meters
01:47	kilometers . Okay . You've got things like for volume
01:52	instead of cups and gallons . You got liters or
01:57	milliliters . Right ? Uh , for weight instead of
02:01	things like pounds , you've got grams or kilograms .
02:09	Okay , So those are the two systems we're gonna
02:12	be talking about . And were , you should be
02:14	already pretty familiar with converting within one system . Right
02:20	. So going from feet to yards or inches ,
02:24	two ft or metric is even easier . Right ?
02:27	Going from centimeters and meters or meters two millimeters .
02:30	But what you might not have done and what we're
02:34	gonna do today is going between both . So maybe
02:38	going from miles two centimeters . Okay , so that's
02:43	where we need to talk about today . Here is
02:45	example , number one convert 36 courts , that's what
02:48	QT . stands for two gallons . Now with this
02:52	first example , we're not going between the systems quite
02:54	yet . We're still just in the customer units .
02:57	Uh but for this problem if I'm gonna convert ,
03:00	I need to know some information that's not here .
03:03	I need to know how many courts are in one
03:06	gallon . Okay . And what that information is called
03:10	. We need the conversion mm factor . Mhm .
03:18	Okay , conversion factor is simple . It's just a
03:21	rate . If you saw the previous videos we did
03:26	one on race . Uh we need a rate .
03:29	A conversion factor is a rate that equals one .
03:36	Now that sounds a bit confusing . But let me
03:39	demonstrate . So for this example I need the information
03:44	for certain specific conversion factor going from courts two gallons
03:47	. So I know that one gallon . Mhm is
03:53	equal to four court . Okay now this is a
04:01	rape . I can write it like a ratio ,
04:05	I can replace that with Colin . Or I could
04:07	write it like a fraction one gallon over for courts
04:16	. Okay and the reason this is a conversion factor
04:19	factor excuse me is that this rate equals 11 gallon
04:24	is the same as four courts . So I could
04:27	just simply substitute instead of a gallon . I could
04:29	put well that's the same as four courts over four
04:34	courts . Well and four quarts over four quarts is
04:38	one . So that's why we say a conversion factor
04:42	is a rape , Right ? We've got two different
04:45	units . Okay uh equals one . So with that
04:49	information , one gallon is equal to four court .
04:52	Now I can convert . So what I'm gonna do
04:56	just yeah as I am going to set up a
05:01	problem and I'm gonna write this with as a fraction
05:04	using that conversion factor , I'm starting with my amount
05:08	36 quarts . Yeah . Okay I want to get
05:13	two gallons . Okay , so I know my conversion
05:17	factor is uh one court is equal , sorry four
05:21	courts is equal to one gallon . I want to
05:24	cancel out the courts and just be left with gallons
05:29	. So when I'm using my conversion factor , I'm
05:33	gonna put courts in the denominator . Well four courts
05:38	Is equal to one gallon . Okay , if I
05:44	do that , notice what happens to these courts right
05:48	before we multiply fractions , we always try to simplify
05:51	. Well courts over courts , those would Mhm cancel
05:55	out . So I'm left with 36 divided by four
06:02	times one gallon . Well 36 divided by four is
06:06	just 99 times one gallon is nine gallons . So
06:13	convert 36 quarts , two gallons , 36 quarts is
06:16	equal to and gallons . Okay , here's some to
06:20	try on your own . Here is example number to
06:38	compare 25 oz with two kg . See which ones
06:42	greater than or which one is less than . Uh
06:45	So if you see this hint , I said £1
06:48	is equal to 16 ounces , Okay ? And £1
06:51	is equal to 0.45 kg . So to be able
06:56	to compare these , I need to make sure the
06:58	units are the same . So either I go from
07:02	25 ounces and change them into or convert them into
07:05	kilograms or I convert these two kg into ounces ,
07:10	It doesn't really matter which one you do . Some
07:13	might be easier than others , but in this case
07:16	I'm just gonna do it one way . I'm gonna
07:17	go from 25 oz to two kg and then compare
07:22	them that way . So first , If you know
07:25	, I don't have a conversion factor for going straight
07:28	from oz two kg . Right ? So I got
07:31	to do an intermediary step , I gotta go from
07:34	ounces to pounds first And then from pounds to kg
07:38	. So I'm starting with 25 oz , I'm gonna
07:44	write that as a fraction . Uh and I'm gonna
07:47	convert it to pounds . So I want to cancel
07:50	out the ounces , Which means these 16 oz are
07:53	gonna be in my denominator , so times £1 for
07:59	every 16 oz . Okay , that's my conversion factor
08:05	, right ? I've got 25 oz . So logically
08:09	, if I think , well 25 is not quite
08:13	32 , so it's not gonna be quite £2, ,
08:15	it's going to be between one and £2. . Right
08:19	? So I'm going to be those ounces cancel out
08:23	, And I'm gonna have to do 25 divided by
08:26	16 , which if you have a calculator and you
08:29	feel like using it , go ahead . Hopefully your
08:31	teacher will let you use calculators because this is can
08:34	kind of be tedious . My students feel free use
08:37	a calculator . 25 , divided by 16 is 1.562
08:43	. And my units are going to be pounds because
08:45	I still have those pounds there . Mm . Okay
08:48	, so I've got 1.562 lbs . Uh , but
08:53	now I need to go to kilograms . So the
08:56	same thing . I've got that over one . I
08:59	want to cancel out my pounds . So that £1
09:02	is going to be in the denominator over £1 .
09:09	That's equal to 0.45 kg . Kind of running out
09:14	of space here . So again , these pounds will
09:17	cancel out . All right , just below it .
09:21	So , I'm gonna do 1.6 , sorry , 1.56
09:24	, 2 times the pounds are gone . 0.45 .
09:29	And that answer will be in kg . And if
09:32	you use your calculator , you can check your answer
09:34	with me . I got 0.703125 kg . Okay ,
09:45	uh excuse me . So , uh not quite one
09:50	whole kilogram less than a kilogram . Uh so now
09:53	if I'm comparing , remember my original question , I'm
09:56	trying to compare these two . I know 25 ounces
10:00	Is the same as 0.703125 kg . Which would mean
10:07	That is less than two kg . Okay , here's
10:11	some to try on your own . Thank you so
10:24	much for watching . And if you like this video
10:26	, please subscribe . Mhm .

Summarizer

DESCRIPTION:

OVERVIEW:

Converting Measures is a free educational video by Anywhere Math.

This page not only allows students and teachers view Converting Measures videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.