What are the Types of Vedic Maths Multiplication?

When it comes to mathematical calculations, efficiency and accuracy play a crucial role. Vedic maths is an ancient Indian technique that offers a faster and more intuitive way of solving mathematical problems. In this article, we will delve into the different types of Vedic maths multiplication methods that can revolutionize the way you approach multiplication.

1. Nikhilam Multiplication

Nikhilam multiplication, also known as the general multiplication formula, is based on the concept of complements. This technique is particularly useful when multiplying numbers that are close to a base. By finding complements and utilizing simple arithmetic operations, you can quickly arrive at the product.

For example, let's say you want to multiply 92 and 98. The closest base is 100. To apply Nikhilam multiplication, you take the differences from the base: 8 and 2. Next, multiply these differences: 8 x 2 = 16. Finally, subtract this result from the base squared: 100 - 16 = 84. Hence, the product of 92 and 98 is 8,984.

2. Vertically and Crosswise Multiplication

Vertically and crosswise multiplication is a versatile technique that can be applied to any type of numbers. This method involves multiplying digits vertically and then crosswise, followed by simple additions to obtain the final result.

Let's consider an example to illustrate this approach. Suppose you want to multiply 36 and 27. Begin by multiplying the units digits vertically: 6 x 7 = 42. Next, crosswise multiply the units and tens digits: 6 x 2 + 3 x 7 = 12 + 21 = 33. Concatenate these results together to get the final product: 33, followed by 42. Hence, 36 multiplied by 27 is 972.

3. Urdhva Tiryagbhyam Multiplication

Urdhva Tiryagbhyam multiplication, also known as vertical and crosswise sutra, offers a shortcut method to multiply numbers where both digits in the same place value exceed 5. This technique exploits the concept of complementary numbers and works exceptionally well for quick mental calculations.

Let's take an example to demonstrate this technique. Consider multiplying 46 and 73. First, calculate the complements of the tens digits: 50 - 4 = 46 and 100 - 7 = 93. Multiply these complements vertically: 46 x 93 = 4278. Finally, subtract the product of the differences from the original numbers: 46 - 4 = 42 and 73 - 7 = 66. Concatenate these numbers with the previous result to get 4278, followed by 42, and 66. Therefore, 46 multiplied by 73 is equal to 3,426.

4. Paravartya Yojayet Multiplication

Paravartya Yojayet multiplication technique is particularly helpful when multiplying two numbers with the same digits. In this method, you multiply the sum or difference of the units digits with the common units digits, followed by crosswise additions.

For instance, let's say you want to multiply 55 by 55. Start by multiplying the units digits: 5 x 5 = 25. Next, calculate the sum of the digits: 5 + 5 = 10. Finally, concatenate these results together: 10, followed by 25. Therefore, 55 multiplied by 55 is equal to 3,025.

Conclusion

Vedic maths multiplication techniques offer efficient and elegant approaches to solving multiplication problems. Whether you need to perform quick mental calculations or solve complex mathematical equations, incorporating these methods into your approach can greatly enhance your mathematical skills.

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