 # Vedic Maths

Vedic Maths

### Faster Vedic Maths- Ancient From Vedas

Vedic Maths is considered to be the technology and science of order and precision, which maintains the uprightness of unity and also spreads variety with it. It is also said to be the Natural Law’s structuring dynamic; it instinctively designs the source and goal of natural law, which is the orderly theme of evolution. Vedic Mathematics is the name given to the ancient system of Maths, which was rediscovered, from the Vedas between 1911 and 1918 by Sri Bharati Krishna Tirthaji, a scholar of Mathematics, Sanskrit as well as History and Philosophy who lived from 1884-1960. His research clearly reveals that, the entire mathematics is based on 16 word-formulae also known as the Sutras.

For example, ‘Vertically and Crosswise` is one of these Sutras. These formulae tell you as to how does the mind work naturally and are thus extremely helpful in guiding the students to the correct method of solution. Vedic mathematics includes Arithmetic, Algebra, Geometry, Calculus and other forms of Maths.

The time consuming huge sums can often be solved quickly and without any mistakes by using the Vedic method. These outstanding and fine-looking methods are merely a small part of an entire system of mathematics, which is way too methodical than the modern system. Vedic Mathematics manifests the logical and amalgamated structure of mathematics with the help of complementary, direct and easy methods. The most astonishing feature of the Vedic system is its coherence. Instead of a mixture of unrelated techniques, the entire system is marvelously interconnected and fused: the general method of multiplication, for example, is easily reversed to permit single-line divisions and the straightforward squaring method can be upturned to give one-line square roots. All of these methods are easily understood. This unifying quality gives immense satisfaction and makes maths enjoyable and easy and also motivates innovation.

The simplest benefit of Vedic Mathematics is that it enables us to carry out calculations mentally. There are many other advantages in using a flexible system. Students can discover their very own methods;,which leads to more imaginative, interested and intelligent students. Research is being carried out in many areas. Researches include studying Vedic Maths effects on children; developing powerful applications of the Vedic Sutras in different fields such as geometry, calculus, computing etc. The real charm and usefulness of Vedic Mathematics can be fully treasured only after practicing the system actually.

Perhaps the most striking feature of the Vedic system is its coherence. The whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying, it makes mathematics easy and enjoyable and encourages innovation.

In the Vedic system ‘difficult’ problems or huge sums can often be solved immediately by the Vedic method. 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 means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system. Pupils can invent their own methods, they are not limited to the one ‘correct’ method. This leads to more creative, interested and intelligent pupils.

Interest in the Vedic system is growing in education where mathematics teachers are looking for something better and finding the Vedic system is the answer. Research is being carried out in many areas including the effects of learning Vedic Maths on children; developing new, powerful but easy applications of the Vedic Sutras in geometry, calculus, computing etc. The basis of Vedic mathematics, are the 16 sutras, which attribute a set of qualities to a number or a group of numbers. The ancient Hindu scientists (Rishis) of Bharat in 16 Sutras (Phrases) and 120 words laid down simple steps for solving all mathematical problems in easy to follow 2 or 3 steps.

Vedic Mental or one or two line methods can be used effectively for solving divisions, reciprocals, factorization, HCF, squares and square roots, cubes and cube roots, algebraic equations, multiple simultaneous equations, quadratic equations, cubic equations, bi-quadratic equations, higher degree equations, differential calculus, Partial fractions, Integrations, Pythagoras theorem, Apollonius Theorem, Analytical Conics and so on.

Skills That Children Will Learn

### Benefits of Vedic Math

Vedic Mathematics is more than 10-15 times or over 1500% times faster than the normal mathematics. How do we say this? You can test it yourself. We tested a normal student to calculate 998 x 997; he took the time of 85 seconds and did it correctly in the normal way. And then when we taught him the Vedic Method of Multiplication the same person could do it in about 5 seconds. Not only did this person suddenly become more confident, bubbling with energy and high self-esteem. He wanted to solve more problems which showed a remarkable increase in his interest in the subject.

Vedic Sutras

### Vedic Math Sutras

Sankaracharya of Govardhan Matha Puri Jagadguru Swami Sri Bharati Krishna Teerthaji Maharaja has explored the encoded vedic mysteries and retrieved a set of mathematical sutras from the Vedic literatures.

Swami Sri Bharati Krishna Teerthaji was a scholar extraordinaire. A profound master of modern subjects including mathematics.

Later after attaining sanyasa he went into solitude at Saradha Peeth in Sringeri and relentlessly pursued the study of Vedic scriptures with the consequence that he reconstructed a set of 16 sutras and 13 sub sutras from the Vedic text covering every branch and part of mathematics.

We owe deeply to the Sankaracharya for his revelation to popularize Vedic Mathematics.

• By one more than the one before
• All from 9 and the last from 10
• Vertically and Cross-wise.
• Transpose and Apply
• If the Samuccaya is the Same it is Zero
• If One is in Ratio the Other is Zero
• All the Multipliers

• By Addition and by Subtraction
• The Remainders by the Last Digit
• The Ultimate and Twice the Penultimate
• Differential Calculus
• By the Deficiency
• By One Less than the One Before
• By the Completion or Non-Completion
• Specific and General
• The Product of the Sum
• Translation
• Proportionately
• The Remainder Remains Constant
• The First by the First and the Last by the Last
• For 7 the Multiplicand is 143
• By Osculation
• Lessen by the Deficiency
• Whatever the Deficiency lessen by that amount and set up
• the Square of the Deficiency.
• Last Totaling 10
• Only the Last Terms
• By Alternative Elimination and Retention
• The Sum of the Products
• By Mere Observation
• The Product of the Sum
• The Sum of the Products

Vedic Sutras

### Vedic Math Sutras

Sankaracharya of Govardhan Matha Puri Jagadguru Swami Sri Bharati Krishna Teerthaji Maharaja has explored the encoded vedic mysteries and retrieved a set of mathematical sutras from the Vedic literatures.

Swami Sri Bharati Krishna Teerthaji was a scholar extraordinaire. A profound master of modern subjects including mathematics.

Later after attaining sanyasa he went into solitude at Saradha Peeth in Sringeri and relentlessly pursued the study of Vedic scriptures with the consequence that he reconstructed a set of 16 sutras and 13 sub sutras from the Vedic text covering every branch and part of mathematics.

We owe deeply to the Sankaracharya for his revelation to popularize Vedic Mathematics.

• By one more than the one before
• All from 9 and the last from 10
• Vertically and Cross-wise.
• Transpose and Apply
• If the Samuccaya is the Same it is Zero
• If One is in Ratio the Other is Zero
• All the Multipliers

• By Addition and by Subtraction
• The Remainders by the Last Digit
• The Ultimate and Twice the Penultimate
• Differential Calculus
• By the Deficiency
• By One Less than the One Before
• By the Completion or Non-Completion
• Specific and General
• The Product of the Sum
• Translation
• Proportionately
• The Remainder Remains Constant
• The First by the First and the Last by the Last
• For 7 the Multiplicand is 143
• By Osculation
• Lessen by the Deficiency
• Whatever the Deficiency lessen by that amount and set up
• the Square of the Deficiency.
• Last Totaling 10
• Only the Last Terms
• By Alternative Elimination and Retention
• The Sum of the Products
• By Mere Observation
• The Product of the Sum
• The Sum of the Products

### Vedic Math Sutras

Sankaracharya of Govardhan Matha Puri Jagadguru Swami Sri Bharati Krishna Teerthaji Maharaja has explored the encoded vedic mysteries and retrieved a set of mathematical sutras from the Vedic literatures. Swami Sri Bharati Krishna Teerthaji was a scholar extraordinaire. A profound master of modern subjects including mathematics. Later after attaining sanyasa he went into solitude at Saradha Peeth in Sringeri and relentlessly pursued the study of Vedic scriptures with the consequence that he reconstructed a set of 16 sutras and 13 sub sutras from the Vedic text covering every branch and part of mathematics. We owe deeply to the Sankaracharya for his revelation to popularize Vedic Mathematics.

• By one more than the one before

• All from 9 and the last from 10

• Vertically and Cross-wise.

• Transpose and Apply

• If the Samuccaya is the Same it is Zero

• If One is in Ratio the Other is Zero

• By Addition and by Subtraction

• By the Completion or Non-Completion

• Differential Calculus

• By the Deficiency

• Specific and General

• The Remainders by the Last Digit

• The Ultimate and Twice the Penultimate

• By One Less than the One Before

• The Product of the Sum

• All the Multipliers

• By one more than the one before

• All from 9 and the last from 10

• Vertically and Cross-wise.

• Transpose and Apply

• If the Samuccaya is the Same it is Zero

• If One is in Ratio the Other is Zero

• By Addition and by Subtraction

• By the Completion or Non-Completion

• Differential Calculus

• By the Deficiency

• Specific and General

• The Remainders by the Last Digit

• The Ultimate and Twice the Penultimate

• By One Less than the One Before

• The Product of the Sum

• All the Multipliers

Syllabus for Combined Competitive

### Syllabus

A syllabus or specification is a document that communicates information about a specific course and defines expectations and responsibilities. LevelSyllabus
Vedic Math Level 1 Multiply
• Multiply with 11
• Multiply by 1 to 9
• Multiply by 12 to 19 Multiply any 2 digit by 2 digit
• Special Tricks
• Double the numbers
• Jumping Tricks Up
• Jumping Tricks Down
Base Multiplication
• Multiplication Base 10, 20,30…
• Multiplication Base 10, 20,30, 100,…
• Multiplication Base 100, 200, 300
• Multiplication Base 1000, 2000…
Cube Roots
• Finding Cube Roots
• Making Cubes
Division
• Division by 2 digit
• Division by 3 digit
Percentage
• Finding Percentage
• What is Percentage Value
Square
• Squaring numbers near Base 10, 20,30, 100,…
• Squaring numbers near Base 100, 200, 300
Conversion
• Converting Kilos to Miles
• Converting Kilos to Pounds
• Addition 2 x 2 digit, 3 x3 digit without carry
• Addition 2 x 2 digit, 3 x3 digit with carry dot method
• Addition Random numbers with dot method
• Addition random decimal digits using dot method
Subtraction
• Subtraction using All from 9 and last from 10
• Subtraction using different bases 10, 10, 1000…. So on..
• Subtraction random numbers using bar method
• Subtraction random decimal digits using bar method
Multiplication
• Multiplication with 111, 1111, 11111, 1111111, etc...
• Multiplication with base method 999800 , 1000030,
• Multiplication 2 x 2, 3x3, 4x4, 5x5, 6x6 digits vertical and cross wise
• Multiplication any number by any number vertical and crosswise
• Multiplication with 9s all 3 different steps, equal, less, more to 9
Squaring
• Squaring numbers by vertical and cross multiplication method
• Squaring numbers by using duplex method 2 digit, 3 digits, 4 digit and so on…,
• Squares of decimals
• Squares of numbers by duplex method
• Root of perfect of square
• Root of imperfect of square
Finding roots
• Finding cube root of exact cubes
• Root of imperfect cube
• Finding the fourth root Finding the fifth root
• Finding the sixth root,
Division
• Division special cases of division with 9, 8, 7, 6
• Straight division -Application of Urdhva Tiryak Sutram cross and vertical for numbers
• Divisibility Check
Vinculum
• Introduction to vinculum numbers
• Convert vinculum numbers to normal form
• Addition, Subtraction using vinculum numbers
• Multiplication using vinculum numbers
Fraction
• Introduction to fractions Fraction multiplication
• Fraction – addition & subtraction (same denominators)
• Fraction division
• Fraction – addition (different denominators)
• Auxiliary fractions
• Reducing to lowest terms
Decimal
• Decimal subtraction
• Decimal multiplication
• Decimal division
• Percentage difference
• Convert percent to decimals
• Convert percent to fractions
Polynomials
• Multiply Binomials, trinomials, large polynomials
• Check polynomials multiplication
Algebra
• Algebraic Division
• Verify Algebraic division
• Simultaneous Equations,/li>
• Basic, intermediate,

### Testimonials  Given the initial training in modern maths in today's schools, students will be able to comprehend the logic of Vedic mathematics after they have reached the 8th standard. It will be of interest to every one but more so to younger students keen to make their mark in competitive entrance exams.
India's past could well help them make it in today's world.

It is amazing how with the help of 16 Sutras and 16 sub-sutras, the Vedic seers were able to mentally calculate complex mathematical problems.
Vedic scholars did not use figures for big numbers in their numerical notation. Instead, they preferred to use the Sanskrit alphabets, with each alphabet constituting a number. Several mantras, in fact, denote numbers; that includes the famed Gayatri mantra, which adds to 108 when decoded.
The basis of Vedic mathematics, are the 16 sutras, which attribute a set of qualities to a number or a group of numbers. The ancient Hindu scientists (Rishis) of Bharat in 16 Sutras (Phrases) and 120 words laid down simple steps for solving all mathematical problems in easy to follow 2 or 3 steps.

Vedic Mental or one or two line methods can be used effectively for solving divisions, reciprocals, factorisation, HCF, squares and square roots, cubes and cube roots, algebraic equations, multiple simultaneous equations, quadratic equations, cubic equations, bi-quadratic equations, higher degree equations, differential calculus, Partial fractions, Integrations, Pythogorustheoram, Apollonius Theoram, Analytical Conics and so on.
It is an ancient technique, which simplifies multiplication, divisibility, complex numbers, squaring, cubing, square and cube roots. Even recurring decimals and auxiliary fractions can be handled by Vedic mathematics.
The subject was revived largely due to the efforts of Jagadguru Swami BharathikrishnaTirthaji of GovardhanPeeth, PuriJaganath (1884-1960). Having researched the subject for years, even his efforts would have gone in vain but for the enterprise of some disciples who took down notes during his last days.
Given the initial training in modern maths in today's schools, students will be able to comprehend the logic of Vedic mathematics after they have reached the 8th standard. It will be of interest to every one but more so to younger students keen to make their mark in competitive entrance exams.

India's past could well help them make it in today's world.

It is amazing how with the help of 16 Sutras and 16 sub-sutras, the Vedic seers were able to mentally calculate complex mathematical problems.

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