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Vedic maths comes from the Vedic tradition of India. The Vedas are the most ancient record of human experience and knowledge, passed down orally for generations and written down about 5,000 years ago. Medicine, architecture, astronomy and many other branches of knowledge, including maths, are dealt with in the texts. Perhaps it is not surprising that the country credited with introducing our current number system and the invention of perhaps the most important mathematical symbol, 0, may have more to offer in the field of maths.

The remarkable system of Vedic maths was rediscovered from ancient Sanskrit texts early last century. The system is based on 16 sutras or aphorisms, such as: "by one more than the one before" and "all from nine and the last from 10". These describe natural processes in the mind and ways of solving a whole range of mathematical problems. For example, if we wished to subtract 564 from 1,000 we simply apply the sutra "all from nine and the last from 10". Each figure in 564 is subtracted from nine and the last figure is subtracted from 10, yielding 436.

The sutra "vertically and crosswise" has many uses. One very useful application is helping children who are having trouble with their tables above 5x5. For example 7x8. 7 is 3 below the base of 10, and 8 is 2 below the base of 10.

The whole approach of Vedic maths is suitable for slow learners, as it is so simple and easy to use.

The sutra "vertically and crosswise" is often used in long multiplication. Suppose we wish to multiply
32 by 44. We multiply vertically 2x4=8.
Then we multiply crosswise and add the two results: 3x4+4x2=20, so put down 0 and carry 2.
Finally we multiply vertically 3x4=12 and add the carried 2 =14. Result: 1,408.

Multiplication can also be carried out starting from the left, which can be better because we write and pronounce numbers from left to right. Here is an example of doing this in a special method for long multiplication of numbers near a base (10, 100, 1,000 etc), for example, 96 by 92. 96 is 4 below the base and 92 is 8 below.

We can cross-subtract either way: 96-8=88 or 92-4=88. This is the first part of the answer and multiplying the "differences" vertically 4x8=32 gives the second part of the answer.

This works equally well for numbers above the base: 105x111=11,655. Here we add the differences. For 205x211=43,255, we double the first part of the answer, because 200 is 2x100.

A quick way to square numbers that end in 5 using the formula BY ONE MORE THAN THE ONE BEFORE.

75² = 5625

75² means 75 x 75.
The answer is in two parts: 56 and 25.
The last part is always 25.
The first part is the first number, 7, multiplied by the number "one more", which is 8:
so 7 x 8 = 56

ultiplying by 12 - shortcut

So how does the 12's shortcut work?
Let's take a look.

12 X 7

The first thing is to always multiply the 1 of the twelve by the
number we are multiplying by, in this case 7. So 1 X 7 = 7.

Multiply this 7 by 10 giving 70. (Why? We are working with BASES here.
Bases are the fundamentals to easy calculations for all multiplication tables.
To find out more check out our Vedic Maths ebook at www.vedic-maths-ebook.com

Now multiply the 7 by the 2 of twelve giving 14. Add this to 70 giving 84.

Therefore 7 X 12 = 84

Let's try another:

17 X 12

Remember, multiply the 17 by the 1 in 12 and multiply by 10
(Just add a zero to the end)

1 X 17 = 17, multiplied by 10 giving 170.

Multiply 17 by 2 giving 34.

Add 34 to 170 giving 204.

So 17 X 12 = 204

lets go one more

24 X 12

Multiply 24 X 1 = 24. Multiply by 10 giving 240.
Multiply 24 by 2 = 48. Add to 240 giving us 288

24 X 12 = 288 (these are Seriously Simple Sums to do aren?t they?!)

Converting Kilometres to Miles

This is a useful method for when travelling between imperial
and metric countries and need to know what kilometres to miles are.

The formula to convert kilometres to miles is number of (kilometres / 8 ) X 5

So lets try 80 kilometres into miles

80/8 = 10

multiplied by 5 is 50 miles!

Another example

40 kilometres

40 / 8 = 5

5 X 5= 25 miles

SOLVING SIMULTANEOUS EQUATIONS

2x+3y=8

4x+5y=14

TO FIND OUT X

MULTIPLY 3y by 14 and subtract it with 5y and 8

this is the numerator

=3*4-2*5=2

for the denominator of x

multiply 3 and 4 and subtract it with 5 and 2=12-10=2

therefore x=1

for y

numerator is 8*4-2*14=4

the denominator for x and y

watch out for more in the next articles

pls tell me that on which branch f mathematics u

require shortcuts(I AM SORRY THAT I AM NOT

ABLE TO DRAW THE DIAGRAMS FOR SIMULTANEOUS EQUATIONS)

Community Contributions - Articles by goIITians

ultiplying by 12 - shortcut

Converting Kilometres to Miles