What is vedic maths

While wonders that vedic mathematis can do in simplifying maths have been discussed at length in Vedic Mathematics, this post is intended for background about vedic maths. Knowing about vedic maths (history, origination) would make it more interesting and appealing.

Vedic Mathematics was rediscovered from the Vedas (Indian Spiritual and knowledge books) between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). According to his research all of mathematics is based on sixteen Sutras (formulas). Each of these vedic maths sutras (formulae) describe easier method of how to carry out mathematical calculations mentally and offer best value to students in cracking through exams with high scores.

The most interesting thing about vedic maths is that this method is that it is fully integrated and offers both way proofs of all concepts. meaning multiplication methods can be reversed to use for one-line divisions and the simple squaring method can be reversed to get square roots.

So complex mathematics problems often be solved immediately is you know about vedic maths. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics manifests the coherent and unified structure of mathematics and the methods are complementary, direct and easy.

The simplicity of Vedic Mathematics implies easier and mental calculations. There are many advantages in using a flexible, mental system. Students can invent their own methods, they are not limited to the one 'correct' method. This leads to more creative, interested and intelligent learning and would make mathematical concepts easier to grasp for students.

With increasing focus on competitive exams with requirement of faster calculation speeds and, focus on Vedic maths system is growing in education. Lot of new research is being carried out to augment established vedic maths sutras and also enhance their usability in many fields not only for students.

Now that we have understood a lot about vedic maths, let us get going with vedic maths sutras and explore the immense potential of this method to make mathematics easy. After studying this method, the question "mathematics how to" would never arise!

Vedic maths sutras

Primary Sutras (formulas)

These vedic maths sutras deal with individual mathematical operations (i.e. multiplication, division, squares, factorization, etc.)

1. Last from 10 and the rest from 9
2. Cross-wise and Vertical
3. By one more than the one before.
4. Apply  after transposing
5. It is zero if the Samuccaya is Same
6. If One is in Ratio the Other is Zero
7. By Subtraction and by Addition
8. By the Completion or Non-Completion
9. Differential Calculus
10. Use Deficiency
11. Specific and General
12. The Ultimate and Twice the Penultimate
13. The Remainders by the Last Digit
14. By One Less than the One Before
15. All the Multipliers.
16. The Product of the Sum

Secondary Sutras (Formula)
These vedic maths sutras help augment the basic calculations while using the primary sutras or while doing normal mathematical calculations.

1. Proportionately
2. The Remainder Remains Constant
3. For 7 the Multiplicand is 143
4. The First by the First and the Last by the Last 
5. By Osculation
6. Lessen by the Deficiency
7. The Product of the Sum is the Sum of the Products
8. Set up the Square of the Deficiency
9. Whatever the Deficiency lessen by that amount and
10. Last Totalling 10
11. The Sum of the Products
12. Only the Last Terms
13. On the Flag (Not mentioned in vedic maths original books)
14. By Alternative Elimination and Retention
15. By Mere Observation

This is a complete list of vedic maths sutras what you can expect to learn from vedic mathematics and each and every vedic maths sutra has been discussed in detail in individual posts.

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Basics of Vedic Mathematics

After introduction to Vedic Mathematics, let us start with basics thereof.
It would be good to take multiplication, and for that any 2 digit number with any other 2 digit number.

Basic Definitions:

Vedic mathematics is based on the concept of placing the numbers either at the unit place or tenths or hundredth and so on. So for ease of understanding, let us use this legend:

Unit Place: UP

Tenth Place: XP

Hundredth Place: HP

Thousand Place: TP

Ten thousandth Placce: TXP

Hundred thousandth Place: THP (and so on..)

Let us take an example of 23 x 45:

So now we need to place this numbers under each other in such a way that UP of both multipliers are in one column and XP numbers in one column:

XP UP

2 3

4 5

1. Now we have to start with UP and multiply both the numbers there. (i.e. 3 x 5) and the answer is 15. Out of this answer 5 would be placed on the UP of the product of two multipliers and 1 would be a carry over. So we now know that our final product has a UP of 5.

2. Second step is then to go for cross multiplication which means:

"XP of first multiplier" x "UP of Second multiplier" = 2 x 5 = 10

"XP of Second multiplier" x "UP of First multiplier" = 4 x 3 = 12

3. Now the sum of above two products added with carry over if any, would give us the XP of our final answer which is to be derived as follows:

Sum of Cross Multiplication (from Step 2) = 10 + 12 = 22

Carry over from the UP (from Step 1) = 1

XP for the final product = 23

As we did in step 1, number 3 shall occupy the XP of final product and 2 shall be a carry over. so the answer constructed by us so far look like this _ _ 3 5. Now we shall go into final steps to identify TP and TXP of the final product.

4. Multiplication of XP of both multipliers i.e. 2 x 4 = 8.

We need to add the carry over of two from step 3 into this which would give us 8 + 2 = 10. So 0 is the TXP and 1 is TP of the final product.

Thus, the final product looks like this 1035.

Benefits of this method

Now let us revisit and see what we have actually done to achieve this product of two digit numbers:

1. Multiplication of single digit number

2. Sum of two digit numbers.

Thus, the requirement of multiplying two digit numbers has become very very easy using this Vedic Maths technique and with a little bit of practice on this lines would make you very quick in deriving products.

Concept

Also, to understand the concept better, let us take this pictorial demonstration of steps. one this is understood, you shall be able to apply the concept to even larger digit numbers as well.


So Vedic Maths Rocks!

I hope this would help you master the trick for multiplication of two digit numbers and shortly I shall come up with multiplication of larger digit numbers using wonders of Vedic Mathematics.

As I mentioned previously, in this attempt to simplify the study and make it more interesting, I am supported by Gyancircle.com. Do visit them.

Mathematics Redefined (Introduction of Vedic Maths)

Here I am going to talk about Vedic Mathematics, so lets first have an introduction as to what is Vedic Mathematics.


We all know that for higher academic achievements, successful business venture or even more so for day to day transactions, we need to master maths. With the gadgets to the likes of calculators, computers and even now tables, its easier to get through with basic number crunching requirements. However, what if we are shown a way of crunching numbers which is even faster than the use of these gadgets, easier and completely reliable!

Yes, that's right, we I am talking about a revolutionary methodology which would not just make the number crunching easy but would make maths fun for students. And I am not just talking about simplifying multiplication or division, also about solving complex equations just by a glimpse.

This method comes from the ancient Indian literature, written in Sanskrit language in forms of sutras and it contains the very logic behind currently used mathematics approach and shows a much simplified version.

Let me just give you an example of basic mathematics operation (i.e. multiplication):

Multiplication of 11 with any two digit number

Ex. 11 x 23

For this, without doing anything or even going into the table of two and three we have to go as follows:

"The sum of two digits (i.e. 2+3= 5) should be placed in between the two digits (i.e. 2 & 3)"

Thus, your answer is = 2 5 3 = 253.

Isn't it fun when you don't even have to use anything when faced with such requirements and before your friends could take out their gadgets punch in all the numbers, you have the answer ready with you.

This trick is not even equal to a drop if we consider Vedic Mathematics to be an Ocean!!!

Well I guess this in enough introduction and I shall continue to add more of this wonderful insights to be helpful to everyone coming across this.

Those, who are eager to find out more on revolutionary concepts like Vedic Mathematics, please feel free to write to me and also visit www.gyancircle.com wherein there are many more such things to find out.

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