This video shows how the Japanese multiplication algorithm (sometimes called Vedic multiplication) which uses lines and their intersections to multiply two positive integers. It also shows the algorithm can be used to multiply numbers in other bases. Shaun Klassen of Math Concepts Explained has also written a post about it.
Some things to think about:
Why does the method work?
What basic geometric concept does this algorithm relate to?
Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai, state Chattisgarh in India for 15 years. Currently he is a teacher in a senior secondary school and he is also involved in teacher training. His online work can be found in Mathematics Academy.
Multiplication – Nikhilam(निखिलम) Method
Conventional method of multiplication is time consuming. It involves number of steps and space. Multiplications done using Vedic Mathematics is easy, requires less number of steps, requires less time. One question can be solved in many ways and can be done mentally.
Nikhilam multiplication is one such method in which problems of special patterns can be solved in a step or two. For using this method, one must be familiar with the base system, which is described below. » Read more