Step 1: Multiplication...The Standard Algorithm
Most of us remember the standard algorithm for multiplication (well, those of us not being brought up under the hilarious joke that is modern math education in some schools, anyway). To demonstrate it, consider the multiplication problem 52x45. This is done in the following steps (which are demonstrated in photos as well):
1) 5 times 2 is 10 (put down a 0, carry the 1)
2) 5*5 is 25, add the carry (put down a 6, carry a 2)
3) On a second line, add a 0 to the 1's place (4 has place value of 10)
4) 4 times 2 is 8 (put down an 8)
5) 4 times 5 is 20 (put down a 0, carry a 2)
6) Add together the 2 numbers (260 + 2080) to get the product (2340).
This method is general and efficient, to be sure. However, it is not hard to see that this method can involve considerable tedium and rigor when you start doing more involved multiplications (3 digits by 3 digits or more).
Read on to see how we can more efficiently multiply, the Vedic way!