Representing Irrational Numbers on Number Line - Number Systems Video Lecture

hello those the welcome welcome to this
presentation from rising Perl hamachi
hosted kudos Roy add those though we are
continuing our series series one Joppa
ham numbers universally explore Cudahy
her numbers numbers and more numbers are
Jeff episode number four or at Catawba
here those though how do we represent
irrational number on a number line so
I'm irrational number school number line
make a secure key represent cut the hair
this will be our topic for today so
after those the Hamlet egghead key
different kinds of numbers have natural
numbers whole numbers are integers
rational numbers and irrational numbers
so hamnida Cahokia graph a rational
numbers little and then up irrational
numbers little how many bees live
episodes with the Heike how do we define
rational numbers gone constant numbers
rational numbers here and con-con say a
rational numbers here eh is lost oh
honey the hello baby so that is webisode
one two and three mayhem name date leah
him now agar up in no no numbers k
combination quality ho so who scheduled
in the no numbers collection cup combine
capital collection party here you see
humble the hey real numbers so real
numbers are nothing but a collection of
rational numbers and irrational numbers
yamaneika happily every swordsman
item specially vodka ringing key a to
collection head irrational numbers his
collection go home number line make a
cigar key represent cursor to him
so chilean those are without much delay
should Walcott be here a quick recap
pooja gusto here's your real numbers
have a Vav America all rational numbers
and all irrational numbers in coca
minecon is a joke collection bumpy hair
whose collection co humble to hear real
numbers or real numbers go home
represented by a by a letter uppercase R
now they are very very important point
those the Charco are definitely always
handmade of near that is every real
number every real number is represented
by a unique point every real number is
represented by a unique point on the
number line so our Kamala magic number
line draw cafe ho
whose number line which is a man djay
take the example Couture may take a
number line venality hinge on this hip
so bicho Beach man bj0 Boulder here and
then let us just get a few few numbers
so I tell you 1 2 3 - 1 - 2 - 3
so here jaha model number line him so
what this point states is every real
number
every real numbers are given by rational
number and a rational number so every
real number can it it must be
represented by a unique point on the
number line
they say Cage a particular point here
this point will always represent the
number 1 so a point it will always
represent - in KB - which economic point
lay there so this point will be always
represented by 3 by 2 so this 3 by 2 is
this point so we say Kirk a manly J
point it is always going to be minus 2
right so similarly man DJ opt between
between 3 and let's say there is a minus
4 so in KD to be Geographic point
ladyhood so that point will be always
minus 7 by 2 that is for 3.5 Hoagy on
the left hand side which is minus 7 by 2
so so what this is saying is that every
real number so you shall have Kamala
model so these are all real numbers
right
these are all examples of real numbers
so these are rational numbers
similarly all the irrational number
square root 2 square root 3 square root
5 square root 7
all these irrational numbers these are
some examples
so all these irrational numbers
similarly they must be represented by a
unique point on the number line and
similarly every point on the number line
it represents a unique real number
unique real number so manly jagged and
voltage eggy ake point so what this is
saying is this point it uniquely
represents a real number
Madame nahiku irrational here irrational
head but every point on the number line
it represents a unique real number so
you don't know your pointer goes to this
we have seen in the last episode so up
to community hub key augur up national
numbers like they ho n so these are
numbers 1 2 3 4 5
oh that is all the positive numbers till
plus infinity a collection happy natural
number scheme which involves 1 2 3 4 so
on so on all the way till plus infinity
then I'm gonna make a whole numbers
desai represent of the header WC upper
case which may have 0 quite correct to
the collection of natural numbers 0 1 2
3 4 5 all the way till plus infinity a
one way up is 0 kasha milker a to the
collection of natural numbers in a
collection might be whole numbers feel
how many because your integers here
these have letters etc Tzenkethi here
rohan minus infinity set minus infinity
say dot dot dot curl K minus 2 minus 1 0
1 2 dot dot dot 2 plus infinity
all these numbers joki minus 6 minus 5
minus 4 minus infinity so all these 0
then 1 2 3 4 5 6 dot dot dot to plus
infinity
all these numbers go humbled ahem
integers right so integers to Humboldt
they have to be all these negative
numbers they come into play they come in
that collection and you ski bottom they
take a last a couple of webisodes name
Joe Joe rational numbers who say
represent cut the hair uppercase Q say
these are numbers that are of the form P
Y Q lowercase P by lowercase Q where
both P and Q are integers and Q you kept
a denominator here it should never be
equal to 0 again after denominator zero
budget ahead and the whole net the
number becomes undefined so Kobe number
just say key Humboldt ahem a 1 by 2 3 by
4 5 by 8 13 by 17 22 by 41 I'm randomly
we are writing some numbers so a Koi he
numbers all these numbers in a humble to
have our natural numbers and yes we can
write negative numbers to Manly j let us
write something like
all right all these numbers are actually
rational numbers which are of the form P
by Q jaha by both numerator and
denominator of integers and denominator
should never be equal to zero so hamnida
those two key all these rational numbers
and Escobar honey a bodega official a
web resource make up integer school
actually app you can write them in the
form of P by Q that is integers can also
be written as the rational numbers so
and then we have also seen he have a
like manly G this point here this point
you have Nigel cook which examples
beheaded 21 by five is represented by
this point 1 by 2 is represented by this
point so hamnida hockey you just pays
him between the integers two consecutive
integers this space this space is filled
up with rational numbers that are
infinite number of rational numbers that
live FK between any two consecutive
integers right so how many Takaki how do
we represent these these rational
numbers on the number line so Somalia
key of e square root 2 hua square root 3
is square root 5 is irrational numbers
in am casa Kirk a number line may
represent correct ahem