Addition, Subtraction, Multiplication and Division of Rational Number Video Lecture - Class 8

hello friends welcome welcome to this
presentation from rising / Hana up
Cohoes up with us Roy and I so so series
one to happen numbers numbers in more
numbers qualms discuss Callahan is
capabie sword number eight Marcus
Slugabed
ASCII toppika those the operations on
real numbers and we are calling it part
one part mislabeled were handles the Q
key item specifically rational numbers
ki baat karu here so operations on
rational numbers is what we will discuss
in today's episode now by operations of
so what do we mean we mean that jab Hum
took on rational numbers lately here our
own rational numbers if you are trying
to add them subtract them multiply them
or divide them Tom what happens so this
is what those are what we are referring
has operations on rational numbers so by
addition subtraction multiplication
division of rational numbers when
Hamdaoui are that they have then what
happens and then those of you will wrap
up today's a webisode by exploring the
cumulative district and distributive
properties of rational numbers so as you
can see those that we have a lot to
cover
Jenny without much to learn it is
quickly jump in now I've noticed over
those low-key ads your topic hedge your
operations on rational numbers he say
hum recap k Harahan q ki really these
are things that you have already learned
in your prior classes so pitch my
classes my apne is topical ki different
operations of rational numbers you have
already studied but still we wanted to
do a quick recap
so he's kelly we will try to do this in
a little bit of a rush because it is
more of a fresher and we have a lot to
cover so jelly those let us get started
now because I'm rational numbers kebab
Callahan
so we will have to take we will see a
lot of examples still-liquid standard
rational numbers little Utley here for
our that we will use in our examples the
para number lick they have 1 by 2 let us
take 1 by 2 as an example let's take 1
by 3 as a nun another example and
manlier let us take then maybe 3 by 5 as
a third example so these are three
rational numbers those though that we
will be using a lot in in today's
webisode
so the first the first property here
algebra though rational number squared
cut there
so in this states that you will always
get a rational number
but look yeah that up with a rational
number later who I will say up I had
kept a hoe then you will always get a
rational number
still ago so let us quickly test to see
a girly a correct here name now manly G
we take 1 by 2 and 1 by 3 chilly a garam
one by two
busca SOT 1 by 3 add cut the head let us
see what happens so Java blow number a
sad cafe ho sub denominated EF LCM lejos
of 2 times 3 is 6 because gonna prime
numbers hang up LCL NSA will get 6 now
two threes are 6 so 3 1 0 3 + 3 mm or
two so up notice karaage you will get
job up in go ahead cut pay ho your
answer is 5 by 6 which is clearly a
rational number
so I am gonna be hockey Java meto
rational numbers lately have an ad cut
the hair we get a rational number say
what about 1 by 2 plus 3 by 5 till you
let's try that 1 by 2 plus 3 by 5 so
Java maniac at the Hannah 2 & 5 are
prime numbers so in key LCM here 10 - 5
ZN now - 5s are 10 so 5 ones are five
plus five twos are ten now three twos
are six
so 5 plus 6 is 11 and denominator have
with us again we get 11 by 10 which is
another rational number so I mean if you
say if I give em the rational number
cadcut they have then we are getting
another rational number today from
completeness standpoint it is to maybe
do Bakke here combination 1 by 3 plus 3
by 5 a Groppi say at country ho 3 & 5
are prime numbers or KL cm Anjali have
15 now 3 fives or 15 one five so five
plus five threes are 15 three threes and
nine so you have NV 9 plus 5 is 14
by 50-some medica we again get a
rational number so though so we are
saying it is indeed true Jerebko will be
rational number later hodo rational
number on ad cut they ho you are always
getting a rational number telling us so
let us quickly now take a look at the
next property a next operation
so this sit-ski rational number -
rational number is always a rational
number tell you how Murray example Malay
the hem so now let us do 1 by 3 minus 3
by 5 so these are two rational numbers
observe might say up solve cut the whole
so 3 and 5 prime number here LCM - a get
15 now three five fifteen so five ones
are 5 - 5 threes are 15 or 3 threes are
9 so 5 minus 9 is minus 4 by 15
now Kamala Makie this is again a
rational number now even though this is
negative this is negative 4
but this is again a rational number
because rational number key definition
as you know those though is basically P
by Q where Q is not equal to 0 right and
and both P and Q are integers so
integers can be negative numbers so
minus 4 by 15 is definitely a rational
number so now actually go so again let
us now try modeling a 1 by 2 minus 1 by
3 so Agabus is Ulf got a ho so their LCM
is 6 3 or 2 3 6 3 ones or three - three
twos or 6 2 ones or two so this becomes
3 minus 2 is 1 by 6 which is clearly
again a rational number so how many
Recaros lucky yes it is indeed true the
rational number - rational number cut a
hole you will always get a rational
number so this operation of this
property of rational numbers is also
correct tell you now let us take a look
at let's take a look at the
multiplication operations of rational
number now this again states give a
rational numbers rational number Co
multiply consejo then you will always
get a rational number
so he goes though like we always want to
validate is a tri-delt ahem Manley J 1
by 2 times 1 by 3 calculation Java
shaker K up multiply consejo then it
means you knew you multiply the
numerator and then you multiply the
denominator so this means 1 x 1 + 2 x 3
on one's a 1 2 3 is 6 so how the plane
definitely 1 by 6 is a rational number
right so now let's take 1 by 3
multiplied by 3 by 5 telomere cut the
head and we see that actually 3 & 3 will
get cancelled so we will get 1 by 5 so 1
by 5 is again clearly a rational number
so hum break behind those though he just
say addition and subtraction mei-hua
other of the rational numbers co op op
as my multiply careful how you again get
a rational number so this property is
also correct now actually away what
about division today divide Delta here
those rational numbers go and let's see
what we get because the property
city-state's or United States above the
rational numbers later how you will
always get a rational number Sarah Fink
exception of those thing you cannot
divide by zero but really denominated
Kito rational number here so you cannot
take zero as the number and that makes a
lot of sense because the surger will be
our key C is equal zero so divide Delta
how that becomes undefined now actually
so let us now take our example basically
we have taken 1 by 2 minus a 1 by 2 Co I
am 1 by 3 say divide cut the hair so
what do we get so is comically Hecky 1
by 2 x now this actually becomes reverse
so we three have a denominated may hang
a patriarch in numerator mitchell jegi
and denominator will become one so then
this becomes such a division head this
is something you have learnt to
officially classes me do we have a
subtraction score a fraction correct
those reflections are divided country
home right w right the first
action and second fraction may to
denominator how that becomes numerator
and numerator becomes denominator to the
multiply cut the head actually reverses
so you parasitic Nicky bar now this
becomes 1 multiplied by 3 by 2
multiplied by 1 which is equal to 3 by 2
that again is clearly a rational number
right so similarly Manley Jagger ham
card may have 1 by 3 divided by 3 by 5
so this will become those the 1 by 3
multiplied by again this will reverse
this will become 5 by 3 so this is 1
times 5 divided by 3 times 3 so 5 1 0 5
divided by 3 times 3 is 9 so clearly
again this is a rational number right
some day for those look if there will be
harm a cigar K divide cut the hair a
rational number by rational number we
are always getting a rational number so
so you just zero key example the except
that we divide by zero that is true
those because mind is yoga hammock
rational number later here now say we
take a rational number say Phi agar
AAPIs cos 0 so divide calejo so this is
not a rational number because this is
basically not defined right but this is
undefined so George is undefined he
cannot since the rational number so
Covey we have 0 sick ECGs could be right
nahi kar saktha hem right so
meticulously this property is also true
he Java homicide division made the
rational numbers lately here we are
always getting again a rational number
socially now those thought let us now
explore the various so we have seen the
addition subtraction multiplication
division of two rational numbers and
hamanaka in each of these operations we
are always always always getting a
rational number as a result of these
operations