In the race of competition and the technology, we left behind the importance of the traditional methods, which were once originated years ago to help us in solving the complexity of the mathematics problems in algebra.
Hindi tutorial of vedic maths. 16 sutras of vedic maths by ramesh kumar the math majician. According to Tirthaji, all of Vedic mathematics is based on sixteen Sutras, or word-formulae. For example, 'Vertically and Crosswise' is one of these Sutras. For more tricks on Vedic Mathematics visit 1. The 16 Sutras of Vedic Math. Ekadhikina Purvena. (Corollary: Anurupyena) Meaning: By one more than the previous one. Nikhilam Navatashcaramam Dashatah. (Corollary: Sisyate Sesasamjnah) Meaning: All from 9 and the last from 10.
With the increase in the cutthroat competition of the ambitious exams, most of the aspirants stuck in quantitative part just because of long calculations.
The competitive exams like SSC, IBPS, RRB and UPSC, comprises of the Maths section. So, if you are planning to appear in any of these exams then, this article will really help you out in the calculations.
Here, you will get to know the Vedic Maths tricks to solve the quantitative part. After learning the Vedic Maths practices you can easily solve the complex problems with speed and accuracy.
List of 16 Sutras with their Meanings and Uses
Vedic Maths is originated from the word ‘Vedas’ which means knowledge. It was first introduced by Shri Bharati Krsna Tirthaji. According to him, there are 16 sutras. Below we have mentioned all the 16 sutras with their meaning and uses.
S.No. | Sutras Name | Meaning | Where to use |
Sutra 1 | Ekadhikina Purvena | By one more than the previous one | Squaring of a number ending with 5 |
Sutra 2 | Nikhilam Navatashcaramam Dashatah | All from 9 and the last from 10 | Multiplication of numbers, which are near to base like 10, 100, 1000 |
Sutra 3 | Urdhva-Tiryagbyham | Vertically and crosswise | It is the general formula, applicable to all cases of multiplication of two large number |
Sutra 4 | Paraavartya Yojayet | Transpose and adjust | When divisor greater than 10 |
Sutra 5 | Shunyam Saamyasamuccaye | When the sum is the same that sum is zero | - |
Sutra 6 | Anurupyena- Sunyamanyat | If one is in ratio, the other is zero | To find out the product of two number when both are near the common base like 40, 40, etc. (multiples of powers of 10). |
Sutra 7 | Sankalana-Vyavakalanabhyam | By addition and by subtraction | It is used to solve simultaneous simple equations which have the co-efficient of the variables interchanged. |
Sutra 8 | Puranapuranabyham | By the completion or Non-completion | Used to simplify or solve the algebra problems. |
Sutra 9 | Chalana-Kalanabyham | Differences and Similarities | - |
Sutra 10 | Yaavadunam | Whatever the extent of its deficiency | Applicable to obtain sq. of a number close to bases of powers of 10 |
Sutra 11 | Vyashtisamanstih | Part and Whole | Help in the factorisation of the quadratic equation of types |
Sutra 12 | Shesanyankena Charamena | The remainders by the last digit | It is to express a fraction as a decimal to all its decimal places |
Sutra 13 | Sopaantyadvayamantyam | The ultimate and twice the penultimate | - |
Sutra 14 | Ekanyunena Purvena | By one less than the previous one | This sutra is used in case of multiplication by 9, 99… |
Sutra 15 | Gunitasamuchyah | The product of the sum is equal to the sum of the product | Used to verify the correctness of obtained answers in multiplications, divisions and factorizations. |
Sutra 16 | Gunakasamuchyah | The factors of the sum are equal to the sum of the factors | - |
List of 13 Sub-Sutras with their Meanings
Below is the list of 13 Sub-Sutras along with their meanings:
S.No. | Sub-Sutras Name | Meaning |
Sub-Sutra 1 | Anurupyena | Proportionately |
Sub-Sutra 2 | Sisyate Sesasamjnah | Remainder remains constant |
Sub-Sutra 3 | Adyamdyenantya-mantye-na | First by first and last by last |
Sub-Sutra 4 | Kevalaih Saptakam Gunyat | For 7 the Multiplicand is 143 |
Sub-Sutra 5 | Vestanam | By Osculation |
Sub-Sutra 6 | Yavadunam Tavadunam | Lessen by the Deficiency |
Sub-Sutra 7 | Yavadunam Tavadunam Varganca Yojayet | Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency |
Sub-Sutra 8 | Antyayordasake | Last Totalling 10 |
Sub-Sutra 9 | Antyayoreva | Only the Last Terms |
Sub-Sutra 10 | Samuccayagunitah | The Sum of the coefficients in the product |
Sub-Sutra 11 | Lopanasthapanabhyam | By Alternate Elimination and Retention |
Sub-Sutra 12 | Vilokanam | By Mere Observation |
Sub-Sutra 13 | Gunitasmuccayah Samuccayagunitah | The Product of the Sum is the Sum of the Products |
Advantages of Using Vedic Maths Tricks
Vedic Maths is the most significant way to solve the numerical problems in minimal time. It is advantageous for the aspirants who are preparing for the competitive exams and help to overcome the ‘mathematics phobia’.
If you are not aware of the benefits offered by the Vedic maths then, you can check all of them below. We have compiled the list of advantages of learning Vedic maths formulas.
Easy Way to Learn
Vedic Maths is a simpler and interesting way of learning the Maths tricks than the usual Maths. The tricks and the sutras used in the Vedic Maths are profound which makes it simpler in learning.
Helps in Cross-Checking
Cross-checking the Maths paper becomes difficult because of the complex calculations but once you are habitual of using Vedic Maths tricks you will be able to cross check the solutions in minimal time.
Enhance Logical Thinking
One of the most beneficial benefits of using Vedic Maths trick is that it enriches the logical thinking and understanding the Maths problems.
Improve Confidence
Confidence is not something that can be learned in a day. Practicing the Vedic Maths on a regular basis will also compliment you with the self-confidence for solving the tricky Maths solutions.
More Systematic Way of Learning
Vedic Maths provides more systematic, simplified, unified & faster way than the conventional system. Vedic Mathematics offers a new and entirely different approach to the study of Mathematics based on pattern recognition, which helps the students to be more creative and learn faster.
Improves the Performance in Competitive Level Exams
One can do calculations in a much faster way than the typical methods taught in the school. These methods helped to solve the mathematical problems in a different way but when you are in the competitive world you need to be speedier and more accurate to qualify the exam.
Some Suggested Reads for Competitive Exams
16 Sutras Of Vedic Maths Pdf Online
Important English Vocabulary
Synonyms Antonyms for Competitive Exams
One Word Substitution List
Other Important Points of Vedic Maths
- Removes mathematics phobia
- Boost Accuracy
- Upgradation in exam aggregate
- Increases the level of creativity
- Develop and right brain.
- Time savior.
- Increases Concentration
- Reduces finger counting
- Reduces burden
- Reduces dependence on
In this blog, we tried to help you with the Vedic Maths uses and its benefits. If you have any queries regarding Vedic Maths tricks and formulas, drop us a comment below.
If you find this article advantageous, you must let your friends know about this. So, spread this useful information with them and help them in preparing for the exams
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What is Vedic Mathematics?
“Welcome to the Wonderful World of Vedic Mathematics”
Vedic mathematics was re-discovered from our ancient Veda by Jagadguru Shankaracharya Shri Bharti Krishna Tirthaji Maharaj (1884-1960).
What Are The 16 Sutras Of Vedic Maths
Shri Bharti Krishnaji was born in March 1884, his childhood name was Venkatraman. He was extraordinary brilliant from his schooldays. In 1899 at the age of 15 Madras Sanskrit Association awarded him by the title Saraswathi.
Tirthaji wrote the mathematical Sutras in Manuscript, that he discovered by long 8 years of Meditation (1911-1918). Unfortunately, that manuscript was lost. Finally, in 1957 in his old age in spite of having bad health condition & poor eyesight he re-wrote the Sutras by just memorizing it. He wanted to write more about it, but he suffered by Cataract in both of his eyes & went in a Samadhi in 1960.
Vedic mathematics contains 16 – Sutras & 13 – Sub-Sutras, which cover almost all the branches of mathematics. There are different shortcut tricks & formulas available for addition, subtraction, multiplication, division, square & square-root of number as well as cube & cube-root of number. We can also apply the sutras to solve simultaneous equations, Percentage calculations, factorization, Trigonometric calculations etc. It does not contain only the shortcut tricks but also develop the logical thinking. Difficult & lengthy problems can also solve by one-line formula that create child’s interest in mathematics.
We can divide the sutras in to two parts, general technique & specific technique. Where general technique is applicable to all combination of number & specific technique is applicable to a selected combination of number. General method to solve any mathematical problem is from right to left, but sutras work from left to right as naturally human brain works.
One can solve the sum by 3-4 different methods, so student must apply their own logic to select the easiest method, this leads to add interest, curiosity & creativity in math’s.
But without practicing, the effectiveness & simplicity of this method is incomplete.
I have read many books, studied the available websites on Vedic mathematics & also listened YouTube videos & then prepared the blogs of this website in a very easy way so that anyone can understand it in only one or two readings.
Benefits of Vedic Mathematics
* Fast and easy
* Useful for all age group
* Create student’s interest in math’s and eradicates fear and phobia of the subject.
* Sharpen kids mind and increase logical thinking.
* Even bigger digits problems are also solved in some seconds.
* It reduced dependence on calculators.
* Increase concentration in children.
List of the sutras compiled by Swamiji are-
Name of 16- Sutras-
1.Ekadhikina Purvena
Meaning: By one more than the previous.
2.Nikhilam Navatashcaramam Dashatah
Meaning: All from 9 & last from 10
3.Urdhva- Tiryagbyham
Meaning: Vertically & crosswise
4.Paravarty Yojayet
Meaning: Transpose & Adjust
5.Shunyam Saamyasamuccaye
Meaning: When the sum is same the sum is zero
6.(Anurupye) Shunyamanyat
Meaning: If one is in ratio, the other is Zero.
7.sankalananVyavakalanabhyam
Meaning: By addition & by subtraction
8.Puranapuranabhyam
Meaning: By the completion or non-completion
9.Chalana-Kalanabyham
Meaning: Differences & Similarities
10.Yaavadunam
Meaning: Whatever the extent of its deficiency
11.Vyashtisamanstih
Meaning: Part & whole
12.Shesanyankena charamena
Meaning: The remainder by the last digit
13.Sopaantyadvayamantyam
Meaning: The ultimate & twice the Penultimate
14.Ekanyunena purvena
Meaning: By one less than the previous one
15.Gunitasamuchyah
Meaning: The product of the sum is equal to the sum of the product
16.Gunakasamuchyah
16 Sutras Of Vedic Maths In Hindi Pdf
Meaning: The factor of the sum is equal to the sum of the factor
Name of 13 sub-sutras
1. Anurupyena
16 Sutras Of Vedic Maths Pdf Download
2. Sisyate Sesasamjnah
16 Sutras Of Vedic Maths Pdf Free
3. Adyamadyenantya-Mantyena
4. Kevalaih Saptakam Gunyat
5. Vestanam
6. Yavadunam Tavadunam
7. Yavadunam Tavadunikrtya varganca Yojayet
8. Antyayordasake’pi
9. Antyayoreva
10. Samuccayagunitah
16 Sutras Of Vedic Maths Pdf Book
11. Lopanasthapanabhyam
16 Sutras Of Vedic Maths Ppt
12. Vilokanam
13. Gunitasamuccayah: Samuccayagunitaj:
Learn more from given link-