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Vedic Mathematics Free Course: How to make you smart in mathematics

Vedic mathematics is an important part of ancient Indian civilization, which we know in common language as “Vedic Mathematics”.
This is a special branch of mathematics in which calculations were done using many ancient mathematical formulas.
This magic of Vedic mathematics formulas still maintains its important place in our field of mathematics.

Vedic Mathematics
Vedic Mathematics

History of Vedic Mathematics


The history of Vedic mathematics can be traced to ancient India, where it is believed to have originated from the Vedas, the oldest sacred texts of Hinduism.
Vedic mathematics is a system of mathematics based on 16 sutras and 13 sub-sutras that provide techniques for quick and efficient calculations.
These techniques were rediscovered and popularized in the 20th century by a mathematician and spiritual leader named Swami Bharati Krishna Tirtha Ji Maharaj.

Vedic Mathematics
Vedic Mathematics

Here is a brief overview of the history of Vedic mathematics:

Ancient Origin:

Vedic Mathematics is believed to have originated from the Vedas, which are very ancient texts of India that are thousands of years old.
These texts contain different ideas about mathematics and the ideas that were used by people who studied mathematics at that time.

Rediscovery by Swami Bharati Krishna Tirtha Ji Maharaj:

The modern revival of Vedic Mathematics can be attributed to Swami Bharati Krishna Tirtha Ji Maharaj (1884-1960), a scholar and spiritual leader of the Shankaracharya tradition.
He studied the Vedas and other ancient texts extensively and understood the mathematical techniques contained in them.

Publication of the book “Vedic Mathematics”:

In the early 1960s, Swami Bharati Krishna Tirtha Ji Maharaj published a book titled “Vedic Mathematics”, which presented mathematical techniques and principles derived from the Vedas.
This book aims to make mathematics simpler, faster and more enjoyable for students.

Spread and Popularity:

With time, the techniques mentioned in the book “Vedic Mathematics” gained attention and popularity among teachers, students and mathematicians.
These methods were found to be particularly useful for mental calculations, simplifying complex problems, and increasing numerical agility.

Contribution by other scholars:

After the publication of Swami Bharati Krishna Tirtha Ji Maharaj’s book, other mathematicians and scholars also explored and expanded the concepts of Vedic mathematics.
He developed instructional materials, workshops, and courses to teach these techniques to a wide audience.

Integration in education:

Vedic mathematics gained popularity as an alternative approach to teaching mathematics. It provided students with a different perspective on mathematical operations and problem-solving. Many schools and educational institutions started incorporating Vedic mathematics techniques into their curriculum.

Global Impact:

Vedic Mathematics has not only influenced education in India but has also gained recognition and popularity in various countries around the world. There are now many books, online resources, and workshops available to learn and practice Vedic mathematics techniques.

Vedic Mathematics 16 sutras and 13 sub-sutras

Vedic Mathematics Tricks Formulas have been obtained from our ancient Vedas which are a part of the tradition of arithmetic calculations and are based on arithmetic calculations only.
Many years ago we neither had calculators nor computers to do mathematical calculations. Then these mathematical formulas were used by our sages for any kind of mathematical calculations. This mathematical formula is very small but its fame is quite world class.
These Vedic Mathematics formulas are used in various ways in mathematical calculations. This formula not only increases our ability to calculate, but also gives us a new approach to solve mathematics and algebra problems.

TheVedic Mathematics we are using here are divided into two parts:
1.Vedic mathematics Sutras in numerical calculations
2.Vedic mathematics Sutras in algebraic calculations

Vedic Mathematics formulas useful in numerical calculations:

  • Ekadhikena Purvena
  • Nikhilam Navatas’caramam Das’atah (Last 10 to remaining 9)
  • Urdhva – triagbhyam
  • Yavadunam/that which complements
  • Paravartan Hojayet
  • Ekanyunena Purvena(The first one is less than 10)
  • Antyayordsakepi/ When the sum of the last digits
  • Vyasti + Samasti
  • Multiplicative Set: Sum of terms of multiplier
  • Gunaksamuccaya samuccaya- gunaka

Ekadhikena Purvena :

calculation formula of Vedic Mathematics, which means “more than one number is undone”. This formula is useful for calculating two numbers and easily subtracting the larger number from another number. Through this formula, we can divide one number into smaller and easily countable fractions while subtracting it from another number.

Let’s see an example of its usage:

Example: 47 × 9

It can be calculated using the Vedic mathematics formula “Ekadhiken Purvena”.

First, we multiple this number with 1: 47 + 1 = 48
Now we multiply this number by 9: 48 × 9 = 432
In this way, we multiplied 47 by 9 by adding 1 to make it 48 and then calculated. This calculation formula especially helps in dividing large numbers into easily countable fractions and is helpful in performing calculations faster.

In this manner, “Ekadhiken Purvena” formula is a major calculation technique of Vedic Mathematics which makes the calculations simple and easy.

Nikhilam Navatas’caramam Das’atah (Last 10 to remaining 9)

“Nikhilam Navatas’caramam Das’atah” is another important Vedic Mathematics Formula, which means “The numbers remaining after reducing all the numbers by 9 are those which are greater than 10, and this formula Especially used in subtraction of large numbers, and also helps in doing calculations easily.

Through this formula, we can reduce large numbers by 9 and divide them into remaining numbers, which are simple and independent for larger numbers.

Let us help you understand this formula with an example:

Example: Calculating 1000 to 123

It can be calculated using the Vedic Mathematics formula “Nikilam Navatashcharamam Dashatah”.

First, we subtract that number by 9 which leaves us with a remainder: 1000 – 123 = 877.
Now we subtract that remainder by 10: 1000 – 877 = 123
In this way, we condensed the calculation from 1000 to 123 and made the calculation simplest and easiest. This formula helps in subtracting large numbers and dividing them into smaller fractions.

Urdhva – triagbhyam

“Urdhva – Triagbhyam” (Urdhwa – triagbhyam) is an important calculation formula of Vedic Mathematics, which means “by dividing the same fractions above and below.” This formula is useful when calculating between two equal fractions and dividing them up and down.

The main use of this formula is in doubling, tripling, division, and calculating equations, where it can be used to perform calculations between two or more numbers.

Let us help you understand this formula with an example:

Example: 24 × 26

It can be calculated using the Vedic Mathematics formula “Urdhva – Tryagbhyam Urdhvatiryagbhyam”.

We first choose the same fraction between the first two numbers, which is 4 here.
Next, we divide them up and down: 24 ÷ 4 = 6 and 26 ÷ 4 = 6.
Now we multiply the above fractions: 6 × 6 = 36
In this way, we did the calculation of 24 × 26 in a concise and simple way. The formula “Urdhva – Tryagbhyamam Urdhvatiryagbhyamam” helps to facilitate calculations between large numbers in Vedic mathematics and is helpful in performing calculations faster.

Yavadunam/that which complements

“Yavadunam” is an important calculation formula in Vedic Mathematics, which means “as long as the same is complemented.” This formula is useful in calculating the relationship between two fractions.

The main use of this formula is in the calculations of multiplication and division, when calculations are made between two numbers and it is used to show the relationship between one number and another.

Let us help you understand this formula with an example:

Example: The price of a book is Rs 120 and how many rupees are required to make its price equal to 3?

It can be calculated using the Vedic Mathematics formula “Yavadunam”.

First, we know that to make the book price equal 3, we have to calculate 2 fractions with it.
Now we use the “Yavadunam” formula: 120 × 2 = 240
In this manner, we calculated the requirement of Rs 240 to make the price of Rs 120 equal 3. “Yavadunam” formula helps to express the relationship between two numbers in Vedic Mathematics in a clear manner and is helpful in performing calculations easily.

Paravartan Hojayet

“Paravartan Hojayet” is an important calculation formula of Vedic Mathematics, which means “convert and add.” This formula is useful when performing calculations between two numbers, converting them, and adding them.

The main use of this formula is in the calculations of multiplication and division, when calculating between two numbers, it is used to convert and add them.

Let us help you understand this formula with an example:

Example: 37 × 43

It can be calculated using the Vedic Mathematics formula “Parvartya Yojayet”.

We first convert a number: 37 + 3 = 40
Now we multiply this converted number by another number: 40 × 43 = 1720
In this way, we made the calculation of 37 × 43 in a concise and simple way. “Parvartya Yojayet” formula helps in doing the calculation between two numbers easily in Vedic mathematics and is helpful in doing the calculation faster.

Ekanyunena Purvena(The first one is less than 10)

“Ekanyunena Purvena” is an important calculation formula of Vedic Mathematics, which means “divide the number before the first one is less than 10.” This formula is useful when calculating two numbers, when the first number has one less 10 than the first, by dividing the fraction that has one less 10 than the first.”

The main use of this formula is in the calculations of multiplication and division, when it is used to divide a fraction that already has one less than 10 when calculating between two numbers.

Let us help you understand this formula with an example:

Example: 48 × 9

It can be calculated using the Vedic Mathematics formula “Ekanunenna Purvena”.

We first combine that number with one less than 10: 48 + 2 = 50.
Now we multiply this fraction, which has one less than 10, by another number: 50 × 9 = 450.
In this way, we calculated 48 × 9 in a concise and simple way. “Ekanunenna Purvena” formula in Vedic Mathrmatics helps to perform the calculation between two numbers easily and is helpful in performing the calculation faster.

Antyayordsakepi/ When the sum of the last digits

“Antyayordasakapi” is a Vedic mathematics feature that provides a simple way to find the sum of two finite numbers. It is especially used to mentally calculate the sum of two large numbers. Here, I will try to explain this feature to you:

Let us add the last two numbers using “Antyayordsakepi”:
Add the last two digits of the time unit (seconds): 65 + 38

Step 1: Sum the last numbers:
5 + 8 = 13

Step 2: If the result of the sum is 10 or more, we add 1 and include its last digit in the last digit of the sum. In this case, our sum is 13, so we add 1:

Step 3: 1 + 3 = 4

Based on this process, the sum of 65 + 38 is 43.

So far, you have added the last two numbers using the “Antyayordasakepi” technique. This is a simple and mental calculation that can help in adding large numbers faster.

Note that this technique is for the sum of two numbers whose last digits are in both the numbers.

Vyasti + Samasti

“Vyasti-Samashti” is an important technique in Vedic mathematics used to relate the properties of an individual (Vyakta or individual) with Samashti (group or aggregate). This technique provides freedom in mental calculations and can help in solving a variety of numerical situations.

Example: There are four students in a school who have scored marks in the Matriculation examination. Their marks are – 85, 92, 78 and 88. What will be the sum of marks of these students?

Step 1: Add the marks of all the students: 85+92+78+88=343

Step 2: The sum of marks of these students is 343, which represents their total marks.

In this way, you have obtained the population of students’ marks using the “Vyasti – Samashti” technique. This technique helps you understand the relationship between the individual and the population and gives you the ability to give partial and complete answers.

Gunaksamuccaya samuccaya- gunaka

Multiplicative set: Set: Sum of terms of multiplier/set, sum of terms

Equal to multiplication(Gunaksamuccaya samuccaya- gunaka)

“Equivalent to Multiplication of Terms” This is an important topic of Vedic Mathematics which is used to determine the product between the coefficients of two terms. It is used to perform multiplication between multiple numbers and coefficients. It is an ancient mathematical technique found in Vedic literature.

This technique is used in doubling, tripling, quadrupling, etc., in which two or more numbers are multiplied. Let me explain with an example here:

Example:

To find the product of two numbers, we use the “equals to multiplication of terms” technique.

Number 1: 12

Number 2: 15

Using a technique equivalent to multiplying terms we first write the coefficients of the two numbers:

12 = 1 * 10 + 2

15 = 1 * 10 + 5

Now we multiply the third fraction by these coefficients:

Multiplication of third fraction: 2 * 5 = 10

Now we combine the first two fractions with this third fraction:

Product = 1 * 10^2 + (1 + 2) * 10 + 10 = 180

Thus, the product of 12 and 15 is 180, calculated using the “equivalent to multiplication of terms” technique.

In this way, this technique is useful in calculating the product of very large numbers and it is an ancient and powerful calculation technique in mathematics.

Vedic Mathematics Sutras in algebraic calculations

  • Paravartya Yojayet(translation and adjustment)
  • Sopantyadvayamantyam(double the last and before)
  • puranapurnabhya(from completeness and incompleteness)
  • Anurupye Sunyamanyat (If one is in proportion then the other will be zero)
  • Sankalan Vyavakalanabhyam(Adding and subtracting)
  • Adayamadyenantyamantyena(first to first, last to last)
  • Antyayoreva(from the last post)
  • Lopanasthapanabhyam(by removing and adding verses)
  • Gunitasamuccayah Samuccayagunitah(Sum of terms is equal to times the sum of terms)

Frequently Asked Questions

Here are short answers to your questions related to Vedic Mathematics:

Question 1: What is Vedic Maths and what is its importance?
Answer: Vedic mathematics is an ancient Indian mathematical system that uses documents to calculate fractions. It improves skill skills and helps in mental development.

Question 2: How many types of formulas are there in Vedic mathematics Tricks and what are their names?
Answer: There are 16 main formulas and 13 sub sutras in Vedic mathematics.

Question 4: What is the balance formula and in what types of calculations is it used?
Answer: This formula is to reduce the fraction of a larger quantity by 5, such as when calculating 995 × 997.

Question 5: What is Urdhvatiryagbhyam Sutra and for what types of calculations is it useful?
Answer: In this formula, the calculation of two fractions is multiplied in the vertical (up) and oblique (i.e. horizontal) directions.

Question 6: What is Yavadunam Sutra and for what types of calculations is it useful?
Answer: This formula is useful to connect one piece to another to calculate two parts.

Question 7: What is Ghanschyutah Ekadhikane formula and in what types of calculations is it used?
Answer: This formula is useful in subtracting cube numbers, for calculations like 53^2.

Question 8: How can the texts of Vedic mathematics be used in large quantities?
Answer: This formula helps in making calculations of large megacities in an easier way, like when calculating 4782 × 621, by dividing them into smaller parts.

Question 9: How can square root and cube root be calculated using the numbers of Vedic Mathematics?
Answer: These portals can be easily used to calculate square roots and cube roots in large quantities.

Question 10: How can the records of Vedic Mathematics be used in duplication and triplication?
Answer: This formula makes it easier to calculate doubling and tripling, such as when calculating 68 × 3 or 139 × 2.

Question 11: How can Vedic mathematics be used in symbolic calculations?
Answer: The formulas of Vedic mathematics help in making symbolic calculations, such as making calculations with different types of disciples.

Question 12: Use of the inscriptions of Vedic Mathematics Combined and Miscellaneous Question: How can the inscriptions of Vedic Mathematics be used?
Answer: These formulas help in calculating joint and distinct warrants, such as when calculating 72 × 63.

Question 13: How can the records of Vedic mathematics be used to calculate common divisors?
Answer: These formulas make it easier to calculate common factors, such as when calculating 42×48.

Question 14: How can the inscriptions of square and cube be used in Vedic mathematics?
Answer: The formulas of Vedic mathematics can be established to calculate the perimeter of square and cube.

Question 15: How can coefficients be calculated using the records of Vedic mathematics?
Answer: These formulas can help in calculating formulas, such as time to calculate binary coefficients.

Question 16: How can Vedic mathematics texts be used with the Nishkrit library?
Answer: These formulas can make calculations with absolute magnitudes easier, such as when calculating 103 × 98.

Question 17: How can the records of Vedic mathematics be used? Answer: These can help in calculating the parameters for the formula.

Question 18: How can the records of Vedic mathematics be used for connection and disjunction between different stores?
Answer: These formulas can be used to calculate the combination and disjunction between different structures.

Question 19: How can the records of Vedic mathematics be used in percentage and elsewhere?
Answer: These formulas can be used for classification and calculations elsewhere.

Question 20: What is the importance of Vedic mathematics texts in today’s time and how can we use them in today’s mathematics?
Answer: Vedic mathematics formulas can help in making various types of calculations even in today’s mathematics, and this mathematics skill can also be improved.

What is the Vedic method of math?

How to learn Vedic maths Tricks?

Conclusion

Today, Vedic Mathematics continues to be studied and practiced by students, teachers and enthusiasts as an innovative and efficient way of approaching mathematics. Its historical roots in the Vedas and its modern revival demonstrate the enduring appeal and practicality of this ancient system of mathematical calculations.

LET’S LEARN VEDIC MATHEMATICS WITH US………….

Vedic Mathematics
Vedic Mathematics

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