Question

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Tutorial 2

Topic:Maths tricks (contd)

hope you like it .Do give ur feedback!

Answer 1

Square of any 2 digit number
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Let me explain this trick by taking examples
67^2 = [6^2][7^2]+20*6*7 = 3649+840 = 4489

similarly
25^2 = [2^2][5^2]+20*2*5 = 425+200 = 625

Take one more example
97^2 = [9^2][7^2]+20*9*7 = 8149+1260 = 9409
Here [] is not an operation, it is only a separation between initial 2 and last 2 digits


Here an extra case arises
Consider the following examples for that
91^2 = [9^2][1^2]+20*9*1 = 8101+180 = 8281

nice isnt it ?

Answer 2

yeah !!! but is it applicable for every N ?

Answer 3

holds for N upto 100 ...

Answer 4

N- natural numbers?

Answer 5

any good reason ? if you can give ?

Answer 6

well i may add,,hope you dont mind (afterall its your tutorial)

we have (10 a + b)^2 = 100a^2 + b^2 + 20.a.b
a and b both are single digits,,max value b^2 can take is 81..
2 0's are there in the end when 100 gets multiplied by a^2

and hence is the trick..

Answer 7

WOW

Answer 8

thats brillliant

Answer 9

@AravindG jahapana tussi great ho
TOFA KUBUL KARO.... :)

Answer 10

hmm haven't seen these things for months....

Answer 11

awesome

Answer 12

well, i find this trick much easier,
to find the square of any 2-digit no. suppose 10x+y
1. add the unit's digit to the no., ie. 10x+y+y
2.multiply the result with the ten's digit as:- , (10x+2y)*(10x)
3. add the square of the unit's digit to the result obtained after doing the 2nd step.
and you'll get the desired square.
eg. \[43^{2}= (43+3)(40)+9=1849\]

Answer 13

btw @AravindG your tricks are awesome :)

Answer 14

@shreya. thanks :) ...that trick is new to me and its interesting ! Thanks for sharing !

Answer 15

:))))))