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Famous Mathematician SIR ISAAC NEWTON said .........

"We all have something within us which helps us, guides us, gives us the conscience to know what is right and wrong. This "something" also gives us knowledge and wisdom. Whenever we cannot think of a solution to a problem we sit still and calm our mind. Very often the answer will come in a moment of intuition. Sir Isaac Newton, after thinking for some time on the effect of gravity, could not solve the problem. So Newton went for a walk to relax and when sitting quietly under an apple tree, saw an apple fall down; in a flash of understanding Newton understood the law of gravity which governs the movement of minute particles as well as the stars and planets. Many great scientific discoveries have been made not during serious thinking or when doing a lot of calculations but while the mind is relaxed. This is when intuition starts."

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VEDIC MATHS techniques #2
Multiply any large number by 12 mentally in seconds

To multiply any number by 12 just double last digit and thereafter double each digit and add it to its neighbour

For example 21314 * 12 = 255768

Lets break it into simple steps:

Step 1: 021314 * 12 = _____8 (Double of Last Digit 4= 8 )

Step 2: 021314 * 12 = ____68 (Now Double 1= 2, and add it to 4, 2+4=6)

Step 3: 021314 * 12= ___768 (Now Double 3=6, and add it to 1, 6+1=7)

Step 4: 021314 * 12= __5768 (Now Double 1=2, and add it to 3, 2+3=5)

Step 5: 021314 * 12= _55768 (Now Double 2=4, and add it to 1, 4+1=5)

Step 6: 021314 * 12= 255768 (Now Double 0=0, and add it to 2, 0+2=2)

So your final answer of 21314 * 12 = 255768

Another example...

Calculating Square of numbers quickly...

Lets calculate the square of 54

So (54)^2 = 5^2 +4 -- 4^2 = 25 +4 ----16 =29-------16= 2916

Similarly (55)^2 = 5^2 +5 --5^2=25+5------25=30---------25= 3025

Similarly (56)^2 = 5^2 + 6--6^2=25+6------36= 31--------36= 3136 etc..

Similarly try out squares of 57,58 etc