Written by Ziyyara Vedic mathematics these days is gaining popularity because of its speedy and accurate calculations. Calculations are an integral part of any profession today and the ability to do it quickly and accurately definitely is an important skill that anyone would desire to have. The Atharvaveda is said to have lots of information on science and mathematics and it is from there, Shankaracharya of Goverdhan peeth puri, decoded the whole information and presented it in the form of 16 sutras. Through this article, an attempt has been made to bring this knowledge to you in a simple and lucid language, with examples. Very useful in finding the product of numbers, if the sum of unit digits of the two numbers totals to

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October September RSS Feed. The Vedic Mathematics Sutras This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere. This formula 'On the Flag' is not in the list given in Vedic Mathematics, but is referred to in the text. History Although the book was first published in , Tirthaji had been propagating the techniques since much earlier, through lectures and classes.

He wrote the book in Reprints were made in and with fewer typographical errors. Several reprints have been made since the s. Originally published as a 2-part article in Frontline, 22 October and 5 November The updated version appears in Kandasamy and Smarandache Vasantha Kandasamy; Florentin Smarandache December American Research Press.

Retrieved 23 May Biographical sketch by Manjula Trivedi, in book Vedic Mathematics, pages x, xi. Thakur 1 November Unicorn and Dragon Books. Hartosh Singh Bal. Open Magazine. Alex Bellos Alex's Adventures in Numberland. The Hindu, 14 August Glover, James 17 October Retrieved 4 January Here the number is We have to find out the square of the number.

For the number 25, the last digit is 5 and the 'previous' digit is 2. The Sutra, in this context, gives the procedure 'to multiply the previous digit 2 by one more than itself, that is, by 3.

It becomes the L. The R. Here the last digit is 9. Therefore 2 is the multiplier for the conversion. We write the last digit in the numerator as 1 and follow the steps leftwards.

The procedure of multiplication using the Nikhilam involves minimum number of steps, space, time saving and only mental calculation.

The numbers taken can be either less or more than the base considered. Case i : when both the numbers are lower than the base. Find 97 X Here base is Now following the rules, the working is as follows: 97 is 3 less than the nearest base And 94 is 6 less than the same nearest base Hence 3 and 6 are called deviations from the base.

Always the base should be same for the two numbers. In genreal, let N1 and N2 be two numbers near to a given base in powers of 10, and D1 and D2 are their respective deviations from the base.

The method and rules follow as they are. The only difference is the positive deviation. Instead of cross — subtract, we follow cross — add. This is done because, we need to consider two digits in deviation as it the base has two zeros. If the deviation is near then we need to consider 3 digits in the deviation eg, and not just 4.

Case iii : One number is more and the other is less than the base. In this situation one deviation is positive and the other is negative. So the product of deviations becomes negative.

So the right hand side of the answer obtained will therefore have to be subtracted. To have a clear representation and understanding a vinculum is used. It proceeds into normalization.

The upa-Sutra ' Anurupyena' means ' proportionality' or ' similarly'. This Sutra is highly useful to find products of two numbers when both of them are near the Common bases like 50, 60, etc multiples of powers of Example 1: 46 X 43 As per the previous methods, if we select as base we get This is much more difficult and of no use. Take the nearest higher multiple of In this case it is Now the steps are as follows: i Choose the working base near to the numbers under consideration.

Multiply the differences and write the product in the left side of the answer. This 1 as Reminder gives one 50 making the L. Step i : Step ii : Step iii : Let us work another problem by placing the carried over digits under the first row and proceed.

Vi Respective digits are added. General rule for a 3 digit by 3 digit multiplication. The Sutra ' Adyamadyena-Antyamantyena' means 'the first by the first and the last by the last'. Suppose we are asked to find out the area of a rectangular card board whose length and breadth are respectively 6ft. Generally we continue the problem like this. Indian constitution parts. Sam smith manila. Last by last i.

Adjust as many '12' s as possible towards left as 'units' i. Ft; 8 left becomes 8 x 12 square inches and go towards right i. Thus he got area in some sort of 35 squints and another sort of sq. Since sq. The answer is 15 sq. This Sutra means 'by addition and by subtraction'.

It can be applied in solving a special type of simultaneous equations where the x - coefficients and the y - coefficients are found interchanged. What a problem! This sutra means whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square of that deficiency.

This sutra is very handy in calculating squares of numbers near lesser to powers of 10 For instance in computing the square of 98 we go through the following steps: 1. The nearest power of 10 to 98 is Therefore, let us take as our base. Since 98 is 2 less than , we call 2 as the deficiency. Decrease the given number further by an amount equal to the deficiency.

This is the left side of our answer!! Append the results from step 4 and 5 to get the result. Hence the answer is This sutra means whatever the extent of its surplus, increment it still further to that very extent; and also set up the square of that surplus. This sutra is very useful in calculating the sqaures of numbers nearer greater to powers of For instance: in computing the square of we go through the following steps: 1. Peugeot doc backup sedre keygen is an app that allows you to access and manage.

Service box backup sedre keygen. Peugeot Service Box DocBackup. Citroen Service Box 8 rar. Service Box Backup Sedre Keygen. The nearest power of 10 to is Since is 3 more than base , we call 3 as the surplus. Increase the given number further by an amount equal to the surplus.

Note: while calculating step 5, the number of digits in the squared number 09 should be equal to number of zeroes in the base

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## Vedic Mathematics/Sutras

October September RSS Feed. The Vedic Mathematics Sutras This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere. This formula 'On the Flag' is not in the list given in Vedic Mathematics, but is referred to in the text. History Although the book was first published in , Tirthaji had been propagating the techniques since much earlier, through lectures and classes. He wrote the book in

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## 16 Sutra Formulas of Vedic Mathematics

He was very good in subjects like mathematics, science, humanities and was excellent in Sanskrit language. His interests were also in spiritualism and mediation. In fact when he was practicing meditation in the forest near Sringeri, he rediscovered the Vedic sutras. Later he wrote the sutras on the manuscripts but were lost. Finally in year , he wrote introductory volume of 16 sutras which is called as Vedic Mathematics and planned to write other sutras later.

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## The 16 Sutras of Vedic Math

Ekadhikina Purvena - By one more than the previous one Corollary: Anurupyena. Urdhva-Tiryagbyham - Vertically and crosswise Corollary: Adyamadyenantyamantyena. Shunyam Saamyasamuccaye - When the sum is the same, that sum is zero Corollary: Vestanam. Puranapuranabyham - By the completion or non-completion Corollary: Antyayordashake'pi. Yaavadunam - Whatever the extent of its deficiency Corollary: Samuccayagunitah. Vyashtisamanstih - Part and Whole Corollary: Lopanasthapanabhyam. Shesanyankena Charamena - The remainders by the last digit Corollary: Vilokanam.