16 Sutras Of Vedic Maths Pdf
16 Sutras Of Vedic Maths Pdf. 16 SUTRAS OF VEDIC MATHEMATICS The sixteen sutras of VEDIC MATHEMATICS. Sutras 1 Ekadhikina Purvena COROLLARY: Anurupyena Meaning: By one more than the previous one 2 Nikhilam Navatashcaramam Dashatah. Vedic Mathematics is a book written by the Indian monkSwami Bharati Krishna Tirtha and first published in 1965. Vedic Maths is based on sixteen sutras, which were unravelled by Swami Bharati Krishna tirtha Ji Maharaj, the Shankaracharya of Govardhan peeth, puri. 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.
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.
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.
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Other Important Points of Vedic Maths
16 Sutras Of Vedic Maths Ppt
- 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.
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