Vedic mathematics is a system of mental calculation developed by the ancient Indian scholars known as the sages. It is based on the Vedas, the oldest scriptures of Hinduism, and is believed to have been passed down orally for many generations before being written down. The system was rediscovered in the early 20th century by Sri Bharati Krsna Tirthaji, who spent many years studying the Vedas and developing the system.
One of the main principles of Vedic mathematics is the use of sutras, or word formulas, which are used to perform various mathematical operations. These sutras are based on the principles of logic and intuition, and are designed to be easy to remember and use. Some of the most commonly used sutras include the “vertically and crosswise” sutra, which is used to multiply two-digit numbers, and the “all from 9 and the last from 10” sutra, which is used to subtract numbers.
Vedic mathematics
Vedic mathematics is based on the idea that all numbers can be represented as a combination of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9. This is known as the “decimal system,” and it is based on the concept of place value, which is the idea that the value of a digit in a number depends on its position in the number. For example, in the number 123, the 3 is in the ones place, the 2 is in the tens place, and the 1 is in the hundreds place.
One of the main benefits of Vedic mathematics is that it can be used to perform complex calculations quickly and accurately. This is because the sutras are designed to simplify the calculation process, making it easier to perform mental math. In addition, Vedic mathematics promotes the use of mental visualization and spatial reasoning, which can help students develop problem-solving skills and improve their overall mathematical ability.
Vedic mathematics has also been praised for its emphasis on the importance of understanding mathematical concepts rather than simply memorizing formulas. This approach can help students develop a deeper understanding of mathematics, which can lead to better performance in other subjects as well.
Despite its many benefits, Vedic mathematics is not widely taught in schools in India or around the world. However, it has gained a growing following in recent years, with many educators and students turning to the system as a way to improve their mathematical skills. There are also a number of books and online resources available that teach Vedic mathematics, making it easier for people to learn the system on their own.
Here are five examples of how Vedic mathematics can be used to solve mathematical problems:
- Multiplying two-digit numbers: The “vertically and crosswise” sutra can be used to quickly multiply two-digit numbers without the need for a traditional multiplication table. For example, to find the product of 23 and 45, we can write the numbers vertically and crosswise as follows:
23 45
Then, we can multiply the digits in the top row by the digits in the bottom row and add the results:
2 x 5 = 10 3 x 5 = 15 3 x 4 = 12
Finally, we can add the products to get the final result:
10 + 15 + 12 = 37
So, the product of 23 and 45 is 37.
- Subtracting numbers: The “all from 9 and the last from 10” sutra can be used to subtract numbers without having to borrow or carry. For example, to find the difference between 92 and 58, we can use the sutra as follows:
92 -58
First, we subtract the digits in the ones place:
2 – 8 = 4
Then, we subtract the digits in the tens place, using 9 for the top number and 10 for the bottom number:
9 – 5 = 4
So, the difference between 92 and 58 is 44.
- Finding the square of a number: The “by one more than itself” sutra can be used to quickly find the square of a number. For example, to find the square of 5, we can use the sutra as follows:
5 x (5 + 1) = 5 x 6 = 30
So, the square of 5 is 25.
- Finding the square root of a number: The “divide by the root of the square” sutra can be used to find the square root of a number. For example, to find the square root of 16, we can use the sutra as follows:
16 / 4 = 4
So, the square root of 16 is 4.
- Multiplying large numbers: The “by one more than itself” sutra can also be used to multiply large numbers. For example, to find the product of 123 and 456, we can use the sutra as follows:
123 x (456 + 1) = 123 x 457 = 56091
So, the product of 123 and 456 is 56091.
These are just a few examples of how Vedic mathematics can be used to solve mathematical problems. There are many other sutras and techniques that can be used to perform a wide range of mathematical operations, making it a powerful and versatile system for mental calculation.
There are a number of ways to learn Vedic mathematics without spending money. Some options include:
- Online resources: There are many websites that offer free lessons and resources for learning Vedic mathematics. freevedicmath.com is one of them. These sites often offer a variety of resources, including videos, tutorials, and practice exercises.
- Books: There are also a number of books available that teach Vedic mathematics. Many of these books can be borrowed from a local library or obtained for free through online book exchange programs.
- YouTube: There are many YouTube channels that offer free lessons and tutorials on Vedic mathematics. Simply search for “Vedic mathematics” on YouTube to find a variety of resources.
- Community groups: Some cities and towns have groups or clubs that meet regularly to discuss and practice Vedic mathematics. These groups are often free to join and can be a great way to learn from others who are interested in the subject.
- Personal study: Finally, it is also possible to learn Vedic mathematics through self-study. There are many resources available online, including videos, tutorials, and practice exercises, that can be used to learn the system on your own.
Overall, there are many ways to learn Vedic mathematics without spending money, including online resources, books, YouTube, community groups, and personal study. With a little bit of effort and dedication, it is possible to learn this powerful system of mental calculation for free.
In conclusion, Vedic mathematics is a powerful and effective system of mental calculation that has been used for centuries in India. Its use of sutras and the decimal system make it easy to perform complex calculations quickly and accurately, and its emphasis on understanding mathematical concepts can help students develop problem-solving skills and a deeper understanding of mathematics. While it is not widely taught in schools, Vedic mathematics has gained a growing following in recent years and is a valuable resource for anyone looking to improve their mathematical abilities.
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