Rational and Irrational Numbers - Free Educational videos for Students in K-12 | Lumos Learning

Rational and Irrational Numbers - Free Educational videos for Students in k-12


Rational and Irrational Numbers - By tecmath



Transcript
00:0-1 Good day and welcome to the Tech mouth channel .
00:02 What we're gonna be having to look at in this
00:03 video is a very quick description of the difference between
00:06 rational and irrational numbers . So rational numbers . These
00:10 are numbers which can be expressed as fractions in the
00:12 form of say the algebraic expression A over B .
00:17 Um , but both of these images be is not
00:20 allowed to be equal to zero . Okay , because
00:22 that wouldn't lead to very happy times , dividing any
00:24 number by zero . Doesn't look very happy times .
00:27 So An example , this might be saying something like
00:30 you can have a number like 2/3 or you can
00:33 have a number say like a quarter or you can
00:36 even have say a number like three which could be
00:40 expressed instead is 3/1 . So it's also going into
00:46 this year that pretty much the one of the things
00:49 that that's the definition of it , but probably the
00:52 feature which is really really defining for these also Is
00:56 the decimals that come out here . So obviously three
00:59 doesn't have any decimals . Okay . It has zero
01:01 but for all intents and person doesn't have it doesn't
01:05 have zeros but rational numbers also other have so terminating
01:13 Decimals . Okay , so something like here where it
01:16 terminates and it's 0.25 and it stops there or it
01:20 could actually have recurring decimals like this one here is
01:23 0.6666666 . And it Rikers itself . Okay . Or
01:28 even say something if it was like a number which
01:30 was 0.24-4-4 where it Rikers and Rikers so it has
01:35 these repeating sequences and rational numbers have this irrational numbers
01:40 on the other hand don't have this um so irrational
01:43 numbers now . So irrational numbers basically end up ,
01:48 you don't have , you have these an infinite number
01:51 of non recurring decimals . When you get these there
01:55 these Are easily seen . Would say something like this
01:59 number here . The square root of two . Okay
02:02 , um so if you would have worked this out
02:04 on a calculator , you'd see this , you get
02:06 this number of say zero . Uh actually you wouldn't
02:11 get zero point , you'd actually hit you get this
02:13 , you get one , I would forward four uh
02:19 2136 No , I don't know that off the top
02:21 of my head . I'm looking down at something at
02:23 the moment as I do this because it's quite a
02:26 quite a difficult one to get . You're gonna notice
02:28 there's no repeat here . In fact this could keep
02:31 being worked out and it would not actually ever repeat
02:34 itself . So this is known as an irrational number
02:38 . Okay , so quite often it's actually left .
02:42 This will be the answer . Um which is the
02:45 exact form which is called a certain yeah . Okay
02:48 . And this is going to be looking at search
02:50 ads in future videos . Okay , so the exact
02:53 form of these of an irrational number is called a
02:57 surge here . So just one last thing , a
03:01 couple of other irrational numbers , you probably fairly um
03:05 aware of paul has an irrational number , no matter
03:08 how much you work it out . 3.1415 la la
03:11 la la la la la . You end up with
03:14 these non repeating decimal uh expressions . Okay , is
03:19 also one as well . Okay , so hopefully that
03:23 explained rational numbers versus irrational numbers . Um so that's
03:28 the major definition and the difference between them . It's
03:31 also the reason that we do get into third .
03:33 So we can actually get these exact expressions because irrational
03:37 numbers don't have an exact expression . So we can
03:39 always leave This one here is an exact expression .
03:42 We can call it .66 , and we can say
03:44 that there and people know that what exactly will be
03:47 forever on afterwards . Um Where is this one here
03:51 ? You should keep writing this and you'd never actually
03:53 fully be able to define it . So in fact
03:56 , we often leave the exact value as I said
03:59 , okay , hopefully that explain a few things and
04:02 we'll see you next time , Okay ?
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