 In this video, we are going to learn to multiply two two digit numbers such as say 12 and 31 We know how we can multiply these two numbers in a conventional manner So we multiply 12 by 1 first We get 12 and then we pad a zero and then we complete rest of the multiplication and then combine these two numbers So we get 372 Let's use same two numbers To see how we can complete this multiplication using some other method and this other method that I'm talking about is known as Urdva Thiriak method before going into the actual method Let me first break down the meaning of the words Urdva and Thiriak and explain what it is Urdva means vertical and Thiriak means cross and it is a way in which we actually multiply the numbers Which we see here when we say Urdva What we mean is that we are going to multiply vertically and when we say Thiriak We mean that we are going to multiply numbers in a cross fashion So vertical can be shown like this and cross will be like this Now let us complete the multiplication using Urdva Thiriak Note that we can multiply Numbers with many digits using Urdva Thiriak method But for this video our focus will be on the numbers with two digits only Let us see how we can complete this multiplication now So the first step is to complete Urdva on the right most digits Urdva means vertical multiplication and we can write the result here Which is one times two which is two when we put a slashed line now the next step is to complete Thiriak Now Thiriak is going to be like this where we multiply one and one and three and two In Thiriak, we add the two results and so we can write this as One times one which is going to be one here and three times two which will write here after completing this result We will put another slashed line and then we will complete Urdva again on the left most digits The left most digits are one and three their multiplication is three and then we just write the result like this so three Then one plus six seven and then the two so three seventy two is the answer that we got And as we can see we have matched the answer with the result that we got using the conventional multiplication So let's say we wanted to multiply sixty three and forty seven So first of all we will complete Urdva That is what you will vertical multiplication of the digits on the right, which is seven times three 21 we just write one and we write small two Which will be a carry for the next result the next result we get is from Thiriak Thiriak is performed by multiplying six by seven and three by four and Then we add the result so seven times six is forty two and four times three is twelve The result is going to be fifty four But again, we just write four and write a small five which will be carry for the next result The next result comes by performing Urdva or a vertical multiplication of the left most digits, which is six and four The result is 24 and we simply write 24 here now our objective is to Push this carry to the next step So we push this two to the four and we combine these two and then we combine these two So we basically have 29 6 and 1 and this is the result of multiplication of 63 and 47