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Vedic Mathmatics


This subject was revived largely due to the efforts of Jagadguru Swami Bharathi Krishna Tirtha Ji of Govardhan Peeth, Puri Jaganath (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. The basis of Vedic math’s 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, biquadratic equations, higher degree equations, differential calculus, Partial fractions, Integrations, Pythagoras Theorem, Apollonius Theorem, Analytical Conics and so on.

How it is useful for Regular studies?

1. It helps a person to solve mathematical problems 10-15 times faster.
2. It helps to Intelligent Reasoning Power for Solve & Guessing.
3. It is useful not only for junior classes, but it is also useful for all classes.
4. It reduces burden (need to learn tables up to 5 only)
5. It is a magical tool to reduce scratch work and finger counting.
6. It increases concentration.
7. It helps in reducing silly mistakes.
8. Keeping books of Vedic Mathematics is quite comfortable to study it frequently.
9. It is the way to improve calculations and make it as fast as possible.


Vedic Addition, Subtraction, Multiplication and Division

Addition and subtraction are two complementary operations–we can define subtraction in terms of addition. Addition is simply the combination of distinct sets of like entities (and we must stress the word like). Thus, if we add one set of four squares to another set of five squares, we get a total of nine squares. (Or, if you prefer, substitute anything you like for & squares–dogs, bananas, people, rocks, or anything else.)

Decimal Addition

In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them. It is the standard form of representing integer and non-integer numbers. In this article, let us discuss in detail about “Decimals”, its types, properties, and place value representation of decimal numbers.

What is to subtract?

In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduce or become less. The minuend, subtrahend and difference are parts of a subtraction problem. In the subtraction problem, 7 – 3 = 4, the number 7 is the, number 3 and the number 4 is the.

Decimal Numbers Subtraction Multiplication

Tirtha Maharaj has classified tricks to Multiply Numbers in Vedic Mathematics in Specific and General Methods. Specific Multiplication Methods can be applied when numbers satisfy certain conditions like both numbers closer to 100 or numbers closer to each other or addition of last digits of both numbers is 10, etc. While General Multiplication Methods can be applied to any types of numbers. Depending on Specific and General Techniques, Multiplication in Vedic Mathematics are classified in the
form of Sutras as below. Let us see the Vedic Mathematics Multiplication techniques.

1. Nikhilam Sutra (Specific Technique)
2. Anurupyena Sutra (Specific Technique)
3. Urdhva Tiryak Sutra and Vinculum Process (General Technique)
4. Ekayunena Purvena (Specific Technique)
5. Antyaordaske’pi (Specific Technique)

Decimal Multiplication Division

Direct Division (Flag Method) is a general method of Division in Vedic Mathematics shows shortcut to divide any types of numbers. It is a shortcut method for division of large numbers. Tirtha Maharaj has classified tricks to Divide Numbers in Vedic Mathematics in Specific and General Methods. Specific Division Methods can be applied when numbers satisfy certain conditions like Divisor slightly less than 100 or Divisor slightly greater than power of 10 or Divisor is ending with 9, etc. While General Multiplication Methods can be applied to any types of numbers.

Depending on Divisor and Dividend, Division in Vedic Mathematics are classified in the form of Sutras as below. Let us see the Vedic Mathematics Division techniques:
1. Nikhilam Sutra (Specific Technique)
2. Paravartya Sutra (Specific Technique)
3. Anurupyena Sutra (Specific Technique)
4. Direct Flag Method (General Technique)
5. Ekadhikena Purvena (Specific Technique)
6. Vestanas (General Technique)

Sample Examples of division in Vedic Mathematics

How to Divide Decimals by a Whole Number?

Division of a decimal number by a whole number is one the easiest operation of decimals. Before learning on how to carry out the division operation, let us review some of the terminologies used in this case, A dividend is the number to be divided.
For example:
1. The division of the decimal number: 0.208 ÷ 65= 0.0032, the dividend is 0.208.
2. The divisor is the number divided the dividend. In this example, the divisor is the number 65.
3. This is the results after division.
4. The remainder is a number left after division.


Math helps develop analytical thinking:

When we do a mathematical problem, there are certain steps that we take before ultimately getting the desired result including collecting the necessary data and breaking down its premises. Being able to comprehend the intricacies of mathematics and arrive at logical solutions helps prepare one & mind to look for the best logic when real problems arise.

Math helps develop the ability to think:

To find solutions to mathematical problems at hand, you must think of a coherent process of how best to arrive at the solution which challenges your thinking capacity. Math doers, like the ones we hire to answer to your order my homework for money requests, portray advanced thought in most cases.

Math develops logical and critical thinking:

Through math education, children learn about the inherent principle of logic and order. They often must indulge in a coherent process of learning about problems, formulas and how to use a sequence of steps to reach a solution that in turn helps them develop discipline of mind which they can use in other areas of their lives. What is more, they learn to see relationships between ideas and make connections.

Math helps kids learn essential life skills:

The truth is math is all around us. As a matter of fact, some call it an inescapable quotient that we simply just cannot get through life without. As such we need it to comprehend the amount of taxes we owe, how much we earn, follow a new recipe and the kind of deals we are getting ourselves into on a day-to-day basis.

It is universal:

Unlike other subjects that are constrained to a certain culture and a particular race, math is a universal language of concepts that can be taught and easily grasped regardless of where you are on the planet.

It encourages accuracy and attention to detail:

Math has a precise, unequivocal, and formulaic nature that further adds to its ability to foster great abilities in children including diligence, caution, and conscientiousness. All of which are paramount principles when children are doing research for both personal projects and given topics.