What is trachtenberg method?

The Trachtenberg Speed System of Basic Mathematics is a system of mental calculation developed by the Russian Jewish engineer Jakow Trachtenberg. It focuses on reducing the amount of working memory required to perform complex calculations and makes arithmetic operations faster and more accurate. It's based on a series of easily memorized special methods that allow one to perform arithmetic computations rapidly.

Key aspects of the Trachtenberg system include:

  • Simplified Multiplication: The system provides specific rules for multiplying numbers by single digits from 2 to 12. These rules often involve finding "digital roots" and using "near multiples." For example, there are specific methods for multiplication by 5, 6, 7, 8, 9, 11, and 12.
  • Division: The division method is a step-by-step process that relies on a "digital root" approach, allowing for quick calculation of quotients.
  • Squaring: Specific methods are used for squaring numbers, particularly those ending in 5, or near multiples of 10.
  • Addition: The Trachtenberg system emphasizes left-to-right addition.

The Trachtenberg system simplifies math by using smaller, easier steps to avoid carrying intermediate calculations in your head. It is designed to be user-friendly and focuses on memorization of a few rules, rather than relying on rote learning of times tables. Although not universally adopted, it's a fascinating method for improving mental arithmetic skills.

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