L1 : Real number System - Real Numbers, Maths, Class 10 Video Lecture

hello friends this video on real numbers
part one is brought to you by exam fear
calm no more fear from exam real number
system any number in this universe if
you see I'll write like this any number
any number in the system is classified
into imaginary number or real number two
broad classification imaginary all real
number imaginary number of out of this
form is ampere 7i h i9 i root 2 I those
kind of number I imagine number which
has imaginary component real number any
number without a memory compared by
sample 7e
to 3 1 by 2 root 2 root 7 anything is of
this form is real number real number
also you can classify into two part
actually one is irrational number
irrational and the second part of
irrational all right
rational number any number which can be
representing the pyq form where Q is
obviously not equal to 0 and this is
something which can't be represented in
P by Q for a rational number again if
you see can be further classified into
integers poll number and national
national number again can be classified
into fine number on composite number if
you see the diagram like this is all
real number everything that is in pink
is real number real number can be any
number personal irrational for example
and take some example rational number
this is pi is irrational right and one
real number example I will take one by
two is real number whenever I do a
rational number so real number is both
rational and irrational
if you see in the real number bucket we
have our still number also and
irrational number irrational my sample
is pi pi is irrational number through
three to do is all irrational number
because they can't be represented in P
by Q form similarly rational number are
those number which can be represented in
P by Q form where Q is not equal to zero
example 1 by 2 1 by 4 right 1 by 7 2 by
3 minus 7 by 8 or it can be all positive
or negative any number which can be
represented in P by Q forms also 1 2 3
they are all rational number actually
because the 1 is nothing but 1 by 1 2 is
nothing but 2 by 1 the all rational
number in rational number you have
integers because integer is a part of
rational number when you talk about
individual you talk about only plus
minus 1 plus minus 2 plus man and 3 like
that that is the denominator is always 1
example I'm talking about plus 7 minus 7
right plus 3 plus 4 minus 1 to 0
everything is integer actually any
number which is which can be represent
in the number line is integer because we
have this number line you know this is 0
this is 1 if it's minus 1 this is 2
which is minus 2 this is 3 this is minus
3
it is the mother can be written in the
number line all these dots are integers
alright and rational number if you see
can be any number which is between these
number line for example between 0 & 1 we
have 1 by 2 1 by 3 this is all rational
number but at these points what the
number you get is all integers correct
so this is the number line these points
all the dotted points are all integers
the big dot points are all integers and
rational number can be any number any
number is Emeline because if you take 1
by 2 also comes a number line so this is
also become rational number if you take
here let us suppose minus 1 by 2
comes somewhere here because a rational
number but integers are only those big
dots it can be minus 2 plus 2 or minus 3
plus 3 minus 7 minus 19 minus 18 plus 18
anything is integer from the interior
leave it is upset and we get a whole
number whole number is from this portion
anything on the right side that is 0 1 2
3 4 is our pool number 0 1 2 3 / whole
number 0 1 2 3 1 below again from this
set we take again a subset to get
national number all the number apart
from 0 is national number all the whole
number apart from 0 is national for
example 1 2 3 4 like this is all natural
number C 0 is the only whole number
which is not mention number
apart from 0 all the national numbers
are whole number so whole numbers are
from 0 1 2 3 4 national number shot from
1 2 3 4 5 6 I like that now in national
number also we have prime and composite
prime numbers are those number which has
that number and 1 are the only 2
divisible for example you see 3 2 7 5
because if you take the factor of 7 that
is nothing but 7 to 1 so it is divisible
only by 7 1 so 7 is a fine number
composite number are those number which
can be represented as product Optifine
number for example my talks
fall for something but to do and these 2
are primes right so who are the
composite number say money money talk
about it over 15 15 is nothing but 5 e -
g 5 is prime 3 is prime so 15 is
composite number
alright if you talk about it suppose the
18 18 is nothing but 16 2 3 or you can
say 3 into 2 into 2 is all prime numbers
3 2 2 so the 18 is also composite number
correct so let me repeat what I have
done real number
number can be classified into imaginary
number in real number imaginary number
is anything with iPad for example seven
eyes a tiny 9 i imaginary numbers real
numbers are any number without imaginary
part that can be rational irrational any
number any number of such form 7 8 to 3
1 by 2 to 2 root 7 which is not having
imaginary part is both real number
correct real number is further
classified into rational number and
irrational number rational number of
those numbers which can be represented
in P by Q Bar for example 1 by 2 1 by 4
2 pi 3 7 by 8 where Q is not equal to
sit obviously then if you take a subset
of rational number you get integers
because integers are also rational
actually you see plus 7 which you right
here plus 7,000 rational number so
rational number is a bigger set actually
so whatever you write here 2 3 5 7
everything is a rational number
so from rational number we take some
subset so in this case if you draw a
number line you take any point in the
number line that is the Russian number
you take this point you take this point
take this point you take any point any
point is rational number may not be that
those points are on the dot any number
left hand side writing it or not is a
rational you take this point is all
rational number this is also rational
number correct some rational number we
take a subset we get integers integers
are only those big dots on the number
line that is plus 1 minus 1 plus 2 minus
2 plus 3 minus V 2 are integers they are
not having any decimal points minus 7
point 8 is non integer 1 point 8 is not
a teacher because these are hiring
decimal points for interiors there will
be no there will not be any decimal
points be either plus 1 plus 2 Plus 3
plus 4 plus 5 minus 1 - 2 - 3 - 4 - 5
these numbers are called integers from
integers if you see integer has negative
numbers also then be 8 whole number
whole loop is nothing but 0 1 2 3 4 it's
all positive numbers including 0 is
called whole number positive numbers in
the sense without any this
Oh God right and then we get national
number national number is again all the
whole number minus zero that start from
one two three four five six again here
also 1.2 1.3 1.4 is not the part only
one two three four is is a national
number because it should not have any
decimal fact no national number also we
can classify this into prime number in
composite number prime numbers two three
seven five in number which has factors
in in the monitor and composite number
is any number wishes can be represented
as product of two prime number please
note here one is a single number that is
neither prime nor composite but that is
a national number so one is number which
is not mine nor composite it's only a
national number correct this is the
representation of real number system
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