How Simple is the Mathematical Operations!!!

Mathematics is "Very Simple" to study, if we approach it in a proper manner. Here I am going to prove what I said above, using the operation 'Multiplication'.

The usual present day procedure for multiplication require the multiplication table at least up to 16x16.But for the following method the multiplication tables above 5x5 are not really required .Even a school going student who , knows simple addition and subtraction can follow my method .These are based on Sutras in Vedic Mathematics.


Multiplication
How will you find 999 x 999 ?
999
999
-----
8991
8991
8991
____
998001
=========
But if we use this method we can obtain the answer in a single step, as follows

999-001
999-001
------------
998/001, ie 998001
============


Is it amaze you ??.Then what about the following

999999999-000000001
999999999-000000001
999999998/000000001
=====================
Do you want to know the secret of this magic ??

Eg:1
99 x 99
Step1: Take the nearest Multiple of 10 nearer to 99, ie 100 and take the difference, ie 1 and write it as
99-01
Step2: 99 - 01
99 - 01
_________
Multiply 01 x 01=01
Step3: Take the Diagonal difference between 99 and 1, ie 98
Answer is 99 – 01 99 – 01 98/01 è 9801
==================