Vedic Mathematics is a system of mathematics that originated from ancient Indian texts known as the Vedas. It consists of a collection of techniques or sutras (short, concise formulas) for solving mathematical problems in a faster and more efficient way. These methods are particularly useful for mental calculations and can simplify complex operations in arithmetic, algebra, geometry, and calculus.
Key points about Vedic Maths:
1. Sutras (Formulas)
- The foundation of Vedic Mathematics lies in 16 sutras and 13 sub-sutras that cover various areas of math.
- The sutras are short, clever formulas that provide shortcuts for traditional mathematical procedures.
- For example, one famous sutra is "Ekadhikena Purvena," which means "By one more than the previous one." This sutra helps in solving problems related to multiplication and division.
2. Mental Calculation
- Vedic Mathematics encourages mental calculations, making it faster to solve arithmetic problems without the need for paper or calculators.
- Techniques like the "Vertically and Crosswise" method are used for multiplication, which simplifies the process and reduces the number of steps.
3. Speed and Efficiency
- Vedic Maths methods are designed to increase speed and accuracy.
- Complex calculations that would normally require multiple steps are solved in fewer steps.
4. Applications
- Vedic Mathematics can be applied to various branches of mathematics like algebra, trigonometry, calculus, and geometry.
- It’s especially beneficial in competitive exams where time is crucial.
5. Advantages
- Time-Saving: Vedic methods can speed up mathematical computations significantly.
- Improved Mental Agility: Regular practice enhances concentration, memory, and mental clarity.
- Simple Techniques: The methods are based on easy-to-understand principles, making math fun and approachable.
6. Popular Techniques
- Multiplication by 11: One of the easiest tricks involves multiplying a number by 11 by adding adjacent digits of the number and placing them together.
- Multiplication with large numbers: The “crosswise” method allows for multiplying large numbers by breaking them into smaller, easier-to-manage components.
- Squaring of numbers ending in 5: There’s a quick way to square numbers like 25, 35, 45, etc., by using a specific pattern.
7. History
- The Vedic Mathematics system was rediscovered by Indian mathematician Bhaskara I in the 7th century.
- The modern resurgence of Vedic Maths began in the early 20th century, led by Jagadguru Swami Sri Bharati Krishna Tirthaji, who published a book titled "Vedic Mathematics" in 1965.
- Vedic Mathematics is not just a method for solving math problems; it can also be seen as a mental exercise that promotes cognitive development, making it a valuable tool for students and math enthusiasts.