Trachtenberg system

The Trachtenberg system is a fast way to do math in your head. It's like a set of shortcuts that help you do calculations without having to write them down. It was invented by Jakow Trachtenberg, a Russian mathematician in the early 1900s. It uses multiplication, division, addition, and subtraction to solve complex math problems. To use the system, you'll need to memorize some basic patterns and steps. Once you learn these steps, you can use them to solve most math problems quickly. You might have to practice a bit, but the Trachtenberg system can save you a lot of time when you have to do math in your head.