Vedic Mathematics

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Vedic Mathematics

Vedic Mathematics is a collection of Techniques/Sutras to solve mathematical arithmetics in easy and faster way. It consists of 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be used for problems involved in arithmetic, algebra, geometry, calculus, conics.

Some Vedic Maths trics

 Multiply a number by 9

 

Multiply a number by 11

Shift the number by one unit and add to same number

 

vinculam and its application

A vinculum is a horizontal line used in mathematical notation for a specific purpose. It may be placed as an overline (or underline) over (or under) a mathematical expression to indicate that the expression is to be considered grouped together. Historically, vincula were extensively used to group items together, especially in written mathematics, but in modern mathematics this function has almost entirely been replaced by the use of parentheses.Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage.

A vinculum can indicate a line segment where A and B are the endpoints:

A vinculum can indicate the repetend of a repeating decimal value:

  • 17 = 0.142857 = 0.1428571428571428571…

 

Similarly, it is used to show the repeating terms in a periodic continued fraction. Quadratic irrational numbers are the only numbers that have these.

Its main use was as a notation to indicate a group (a bracketing device serving the same function as parentheses):

 

meaning to add b and c first and then subtract the result from a, which would be written more commonly today as a − (b + c). Parentheses, used for grouping, are only rarely found in the mathematical literature before the eighteenth century. The vinculum was used extensively, usually as an overline, but Chuquet in 1484 used the underline version.

The vinculum is used as part of the notation of a radical to indicate the radicand whose root is being indicated. In the following, the quantity is the whole radicand, and thus has a vinculum over it:

 

In 1637 Descartes was the first to unite the German radical sign √ with the vinculum to create the radical symbol in common use today.

The symbol used to indicate a vinculum need not be a line segment (overline or underline); sometimes braces can be used (pointing either up or down).

 

Other notations

There are several mathematical notations which use an overbar that can easily be mistaken for a vinculum. Among these are:  

It can be used in signed-digit representation to represent negative digits, such as the following example in balanced ternary:

or the bar notation in common logarithms, such as

 

 

The overbar is sometimes used in Boolean algebra, where it serves to indicate a group of expressions whose logical result is to be negated, as in:

In electronics, the overbar is used to notate complementary binary signals. For example, READY pronounced “not ready”, would be the same signal as READY but with the opposite polarity. This usage is closely related to the usage in Boolean algebra.

It is also used to refer to the conjugate of a complex number:

In statistics the overbar can be used to indicate the mean of series of values.

 In particle physics, the overline is used to indicate antiparticles. For example, p and p are the symbols for proton and antiproton, respectively.

 

 

 

 

 

 


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Vedic Mathematics is a system of mathematics that is based on the ancient Vedic texts of India. It is a holistic system that emphasizes the use of mental imagery and visualization to solve mathematical problems. Vedic Mathematics is said to be more efficient and accurate than traditional methods of mathematics, and it can be used to solve problems of all levels of difficulty.

The system of Vedic Mathematics was developed in the early 20th century by Sri Bharati Krishna Tirtha, a Sanskrit scholar and mathematician. Tirtha was inspired by the Vedic texts, which he believed contained a wealth of knowledge about mathematics. He spent many years studying the texts and developing a system of mathematics that was based on their principles.

Vedic Mathematics is based on the use of 16 Sutras, or formulas. These Sutras are said to be the key to understanding the Vedic system of mathematics. The Sutras are used to solve a variety of mathematical problems, including addition, subtraction, multiplication, division, and FRACTIONS.

Vedic Mathematics is also based on the use of mental imagery and visualization. This is in contrast to traditional methods of mathematics, which rely on the use of paper and pencil. Mental imagery and visualization are said to help students to understand mathematical concepts more deeply and to solve problems more quickly.

Vedic Mathematics has been shown to be an effective system of mathematics for students of all ages. It has been used to help students improve their grades in school and to prepare for competitive examinations. Vedic Mathematics is also being used in schools and universities around the world.

If you are interested in Learning more about Vedic Mathematics, there are many Resources available online and in libraries. You can also find classes and workshops offered by Vedic Mathematics teachers.

Here are some of the benefits of learning Vedic Mathematics:

If you are interested in learning more about Vedic Mathematics, there are many resources available online and in libraries. You can also find classes and workshops offered by Vedic Mathematics teachers.

What is Vedic Mathematics?

Vedic Mathematics is a system of mathematics that is said to be based on the Vedas, a collection of ancient Hindu texts. It is claimed that Vedic Mathematics can be used to solve mathematical problems more quickly and easily than traditional methods. However, there is no scientific evidence to support these claims.

What are the benefits of Vedic Mathematics?

Proponents of Vedic Mathematics claim that it can help students learn mathematics more quickly and easily. They also claim that it can improve students’ problem-solving skills and creativity. However, there is no scientific evidence to support these claims.

What are the drawbacks of Vedic Mathematics?

One of the main drawbacks of Vedic Mathematics is that it is not based on any Sound mathematical principles. It is simply a collection of mnemonics and shortcuts that have been passed down through the generations. As a result, it is not a reliable way to learn mathematics.

Another drawback of Vedic Mathematics is that it can be difficult to learn. The system is based on a complex set of rules and procedures that can be difficult to understand and remember. As a result, it can be frustrating for students to learn.

Is Vedic Mathematics effective?

There is no scientific evidence to support the claim that Vedic Mathematics is effective. In fact, a study by the Indian Institute of Technology Madras found that there was no significant difference in the performance of students who had been taught Vedic Mathematics and those who had not.

Is Vedic Mathematics a scam?

Some people believe that Vedic Mathematics is a scam. They argue that it is a system of false claims that has been marketed to parents and students who are looking for an easy way to learn mathematics. They also argue that there is no evidence to support the claims that Vedic Mathematics can help students learn mathematics more quickly and easily.

What is the future of Vedic Mathematics?

The future of Vedic Mathematics is uncertain. It is a system that is based on false claims and has no scientific evidence to support it. As a result, it is unlikely to be widely adopted by schools or parents. However, it is possible that some people will continue to use it, despite the lack of evidence to support its effectiveness.

Sure. Here are some MCQs on the topics of Vedic Mathematics, without mentioning the topic:

  1. Which of the following is not a Vedic Mathematics technique?
    (A) Sutras
    (B) Shastras
    (C) Daksha
    (D) Bija

  2. Which of the following is the first step in solving a problem using Vedic Mathematics?
    (A) Identify the type of problem.
    (B) Apply the appropriate Sutra.
    (C) Solve the problem using the Sutra.
    (D) Check your answer.

  3. Which of the following is not a Sutra in Vedic Mathematics?
    (A) Samkhya Sutra
    (B) Vyavahara Sutra
    (C) Daksha Sutra
    (D) Bija Sutra

  4. Which of the following is the correct way to solve the following problem using Vedic Mathematics: 123456789 x 123456789 = ?
    (A) 123456789 x 123456789 = 15245194256624417281
    (B) 123456789 x 123456789 = 15245194256624417280
    (C) 123456789 x 123456789 = 15245194256624417289
    (D) 123456789 x 123456789 = 15245194256624417279

  5. Which of the following is the correct way to solve the following problem using Vedic Mathematics: 123456789 + 123456789 = ?
    (A) 123456789 + 123456789 = 2469135778
    (B) 123456789 + 123456789 = 2469135777
    (C) 123456789 + 123456789 = 2469135776
    (D) 123456789 + 123456789 = 2469135775

The answers are:
1. (B)
2. (A)
3. (C)
4. (A)
5. (A)

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