Games with Numbers: Tricks with 3 Digit Numbers Video Lecture - Class 8

hello friends this video on playing with
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now you might be thinking that this was
2 digit number that that's why it is
simplest let us deal with a three digit
number so here again letters L Shalom
ami three digit number so how can we
represent any three digit number maybe
with ABC let's say ABC is a three digit
numbers how can we write it C is at a us
place B at the end clip and a at a
hundred feet so this can be written as a
in two hundred plus B into 10 plus C
into one so that is equal to hundred a
plus 10d plus C now let's reverse the
digit so when you reverse the digits
it's become t be a just the opposite
order
so C be 800 an IV in your hand red plus
B into 10 plus a into 1 that is equal to
hundred T plus 10 D plus 8 now there are
two things that you can do either you
can add these two numbers to see that
work whether you arrive at a trick or
not or you can subtract each two numbers
now addition you do it on your own and
you will see that you actually do not
arrive at any such tricks because in
order to get a trick you need to have
the sum in terms of the factorized form
where you actually get a number which is
an exact register of the Sun but in this
case when you find the stamp you do not
arrive at any search result but what
happens when we subtract so let us look
at the subtraction particles in the
subtraction we get something interesting
in subtraction what we do
ABC - PDA so ABC is hundred a plus can
be plus t minus hundred feet plus 10d
plus a so this is equal to hundred a
plus 10d
plus c minus and
e minus ten B minus a so hundred a minus
H same coefficient so this is 99 8 again
10 B minus 10v this is same coefficient
so plus 20 minus can be very cancel out
and when it makes a below now plus D
minor hundred pages would be minus 1993
so this can be written as 99 into a a
minus P so again in this case when you
arrive at a result you'll see that the
difference between these two numbers is
dependent only on the wagon both a and C
that is the first digit and the last
digit so if a is greater than P then
also the difference is completely
divisible by 99 if P is greater than a
then 1/2 the difference is completely
divisible by 99 if P is equal to n then
the difference is equal to zero so
whenever you arrive at a need such
result you can actually feel that this
number will be an exact division of the
difference if you want to play Tetris
with a three-digit number you can do
that but in created number you have to
ask your friends to divide it by 99 now
99 can also be written as 9 into 11
equals minus 11 is 99 we will also write
this number in discussion so you can
even ask them to divide the number by 9
or divide a number by 11 so that will
kind of arrive at the same result so if
you want you can try it down with a
three-digit number in fact right now let
us write this number 873 this would be a
nice idea to try it out with this number
so 876 let's reverse the numbers so it
becomes 678 now we find the difference
between the two numbers so that we
denied and lenses
moving to be 16 this is 8 the air it
becomes 8 2 this becomes 9 7 which is 1
so 198 is the difference now
the next step would be we can ask our
friend to divide it we double 99 or the
Indian asked them to divide it by 9 or
divided by 11 so what happens when you
divide 8 9 1 98 by either 9 or 11 or 99
let's see what is the result that we get
so when you divide it it is nine to the
18 uniting to the 18 so it completely
divides so 22 is the quotient and what
is the remainder divided is 0 in this
case what happens in heaven 1z 11 and
then 11 into 8 th so 18 into heaven is
190 so in this case 18 again is the
quotient and the remainder is 0 in this
case what happens one may be divided by
19 inch to 2 is the quotient and water
30 vendors remainder is 0 so you see you
ask your friends to either divided by 9
or 11 or 99 every time the remainder
will be 0 so you can play a trick even
with the three-digit number even that
will make it all the more interesting
because we might feel it move give also
big numbers and you and then you are
able to find out you know ready that if
you divide 10 by any of these numbers
the result is 0 less interesting right
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