Multiplication made faster!

Here is a quick method to multiply two numbers that are near to 100. Say you want to multiply, 94 by 96. Conventional Mathematics first..

94
96
------
564+8460
-----
9024
-----

Let us try doing this in a better way now.

94 is 6 away from 100.
96 is 4 away from 100.

So write like this,

94 --- 06
96 --- 04

Multiply 06 and 04 we get 24.

Subtract, either 06 from 96 or 04 from 94. We get 90.

Concatenate the answers that you got above. => 9024 (that was in a flash!)

I don't believe this. Let us try one more. 97 * 95

97 -- 03
95 -- 05

9215 :)..how is this now?

Can I multiply 103 * 104 by this method...? Yes, why not.

103 --03 (ahead of 100)
104 -- 04 (ahead of 100)

10712 (add 103+4 or 104+3 in this case)...

You are now faster than a calculator :)...cool, ain't?

Is it possible to extend it to numbers near 1000? say, 998 * 995...Of course, yes

998 - 002
995 --005

Answer is ...oops you got it already... 993010

Still want something big..here we go

9994 * 9995

9994 - 0006
9995 - 0005

99890030 ... :)

Now, go and shock your mathematics teacher with your lightning speed. Keep watching this space for more. Happy computing..




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