There are a ton of shortcuts to math, they only amaze most people because they don't understand the relational theory of numbers. We're taught to do math, not to understand it.
For instance, if you take any 2 digit number, the sum of the digits being such as to be less than ten, and multiply it by eleven, the product will be the original number with the sum of those two numbers in the middle.
24X11=264, 81X11= 891, etc.
The Japanese method is only fascinating until you understand the theory. In the same manner that science only looks like magic until you understand it.