Question

Multiply using “Urdhva Tiryagbhyam” Sutra \[11 \times 15\].

Answer 1

Hint: Here, we will use Urdhva Tiryagbhyam to multiply the given numbers. Urdhva Tiryagbhyam is a method in Vedic Mathematics to multiply the given numbers easily. Urdhva Tiryagbhyam is a vertically and crosswise method to find the product of two numbers.

Complete step-by-step answer:
We will use “Urdhva Tiryagbhyam” Sutra to multiply \[11 \times 15\].
We will follow the steps mentioned below for multiplying the number:
i. We will arrange the numbers vertically. For a non-equi-digit , add as many zeros in the front to become both the numbers equidigit.
ii. We will consider the sets from the left to right in ascending order and also in the descending order.
iii. Then we will find the sum of cross product of the digits that are at equal distance from the edges.
iv. We will arrange the numbers in the base 10. At each step the unit of the result will be the result of the step and then the remaining part would be carried over to the next step on the left side.
We will multiply vertically the unit digit of the given two numbers.

Now, we will multiply crosswise of the given two numbers.

Now, we have to add the digits obtained by multiplying crosswise.

Now, we will multiply vertically the ten’s digit of the given two numbers. Therefore, we get

Now, we will arrange the digits obtained by multiplying the given two numbers vertically and crosswise.
\[11 \times 15 = 1/5 + 1/5\]
 \[ \Rightarrow 11 \times 15 = 1/6/5\]
\[ \Rightarrow 11 \times 15 = 165\]
Therefore, the product of the given numbers 11 and 15 is 165 using Urdhva Tiryagbhyam sutra.

Note: We should use the method Urdhva Tiryagbhyam sutra. We should always start multiplication from the right. We should also be clear that the vertical multiplication has to be started from right. We should not forget to add the carry forwards along the way. Vedic Mathematics is a technique which is used to solve the arithmetic problems easier and in a faster method. We have many sutras to solve arithmetic problems rather than using mathematical techniques.