Home » question » What is Vedic multiplication? # What is Vedic multiplication?

Vedic multiplication is a quick and efficient way to multiply large numbers faster and easily. In vedic maths, multiplication is done using two methods: –

1. Nikhilam method (base method method)
2. Urdhva tiryak (cross multiply method)

## 1. Nikhilam Sutra:

This is the most simple trick to multiply numbers using Vedic Mathematics. Using Nikhilam Sutra it is simpler to multiply numbers like 98 & 95, 997 & 987, 102 & 112, 995 & 1008 i.e. the numbers which are closer to power of 10.  This Sutra is a Specific method of Multiplication in Vedic Mathematics which shows shortcuts to multiply numbers which are closer to power of 10 (10, 100, 1000, etc.)

let us take an example: –

Multiply 93 * 98

Step By Step Explanation:

STEP 1 = Take the algebraic sum of digits across any crosswise – pair. e.g. 93 + (-2) or 98 + (-7). Both give the same result which is 91, which is our first part of the answer.

93 * 98 = 91 _ _

STEP 2 = Now, just multiply the two differences (–2) × (–7) to get 14, which is the second part of the answer.

STEP 3 = The final answer is 9114, (9100 + 14).

To Be Note = Since our base is 100, we should have two digits in the second or final part of the answer.

## 2. Urdhva Tiryak Sutra:

This is another great shortcut method of multiplication using Vedic Mathematics. Urdhva Tiryak is the General method of multiplication in Vedic Maths which provides a shortcut to multiply any type of numbers. It can be applied very easily to multiply 3 digit numbers, multiply 4 digits numbers and even more than 4 digit number

let us take an example: –

32*21

3*2 = 6(multiply the highest digits)

32*21 = 6 _ _ (first digit) 3*1 + 2*2 = 3 + 4 =7 (cross multiply and adding together)

32*21 = 67_ (middle digit)

2*1=2 (multiply the lowest digits)

32*21 = 672(last digit)