Introduction:

Vedic Math, an ancient Indian mathematical system, has gained popularity due to its simple, efficient, and time-saving techniques. It is known for enhancing mental calculation abilities and promoting creativity in problem-solving. In this article, we will explore three effective ways to multiply using Vedic math techniques.

1. Urdhva Tiryakbyham (Vertically and Crosswise Method)

Urdhva Tiryakbyham is a versatile Vedic math technique used to multiply numbers of any magnitude. It is highly efficient and serves as an alternative to the traditional multiplication method. Here’s how it works:

Step 1: Write both numbers vertically and expand them into their place values (units, tens, hundreds, etc.).

Step 2: Starting from the least significant digit, multiply each digit vertically (digit-by-digit) and write down the product.

Step 3: Then multiply digits crosswise, with the digits diagonally opposite each other and add the results.

Step 4: Add up the products obtained in steps 2 and 3 together for each place value column and put down the sum.

Step 5: Simplify the result by carrying over any extra digit from one column to another if needed.

Example:

Multiply 123 by 321

123

321

—–

373

2. Nikhilam Navatashcaramam Dashatah (All from 9 and the last from 10 Method)

This Vedic math technique is mainly used for multiplying numbers that are close to a large power of ten (10, 100, 1000, etc.). Follow these steps:

Step 1: Subtract all the digits of both numbers from 9 or subtract the last digit from 10 (if it’s not covered in step one).

Step 2: Take one number’s subtraction result as a base to find out how much the other number is less than it.

Step 3: Multiply the results from step 2 together.

Step 4: Write the difference in the two base numbers with the product obtained in step 3.

Example:

Multiply 95 by 97

(95 – 5, 97 – 3)

(90, 94)

(5 * 3 = 15)

Answer: 9215

3. Duplex Method

The duplex method, also known as Dvandva Yoga, is best used to square numbers using Vedic math. It simplifies the process and eliminates confusion during calculations. Here’s the method:

Step 1: Write down your two-digit number vertically and divide it into three zones – left, middle, and right (corresponding to tens digit, units digit, and empty).

Step 2: Square the leftmost digit (the tens digit), write the result in the left zone.

Step 3: Multiply both digits (crosswise) and double their product for the middle zone.

Step 4: Square the rightmost digit (the units digit) and write it as two digits in the right zone.

Step 5: Add up all these results along their respective zones.

Example:

Square of 48

24

64

32

—–

2304

Conclusion:

Vedic math offers easy-to-learn techniques that not only save time but also improve mental calculation skills. Mastering these methods can improve your overall mathematical abilities and build a strong foundation for more complex calculations. Give these three ways of multiplication a try and experience their simplicity for yourself.