Converting Measures - Free Educational videos for Students in K-12 | Lumos Learning

## 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
09:34 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

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Converting Measures is a free educational video by Anywhere Math.

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