Mental Math

The Trachtenberg Method: A Smart Math Shortcut Every Student Should Know

  • April 26, 2025
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No Calculator Needed: Develop Simple and Speedy Mental Math with the Trachtenberg Method

Math doesn't have to be difficult or boring, and that's exactly what the Trachtenberg Method of speed mathematics proves!

This smart system helps students handle big calculations like multiplication, division, and addition much faster and with fewer mistakes than the usual methods.

The Trachtenberg Method was created by Jakow Trachtenberg. His goal was to make math simple, quick, and fun, even without a calculator.

What Makes the Trachtenberg Method Special?

No Need for Complicated Multiplication Tables

Instead of memorizing big tables, students learn easy-to-follow mental math tricks based on simple addition, subtraction, and doubling.

Step-by-Step Rules for Every Operation

Whether it’s multiplication, addition, or division, the Trachtenberg Method offers clear, easy steps that anyone can master.

Focus on Mental Calculation Methods

With practice, you can do even large sums in your head, often faster than using a calculator.

Builds Confidence in Math

Students who once struggled with numbers start feeling confident, as solving problems becomes more like playing a game than doing tough homework.

Example: How to Multiply by 11 Using the Trachtenberg Method

Here’s a simple mental math trick from the Trachtenberg Method of speed mathematics:

Steps:

  1. Write down the last digit of the number.
  2. Move right to left, adding each digit to its neighbor on the right.
  3. Write the first digit as the beginning of your answer.

Example:

Multiply 633 × 11

  • Last digit: 3 → Write 3
  • 3 + 3 = 6 → Write 6
  • 6 + 3 = 9 → Write 9
  • First digit: 6 → Write 6 at the beginning

So, the answer is 6963!

This is just one of many mental math tricks the Trachtenberg Method teaches to make calculations faster and easier.

Why Should Students Learn the Trachtenberg Method?

  • Solve Problems Quickly – Speed up your math without depending on calculators.
  • Increase Accuracy – The method has built-in checks that help spot errors easily.
  • Make Math Fun and Easy – Great for students who normally dislike or fear math.
  • Useful in Exams and Daily Life – Whether you are solving problems at school, competing in math contests, or shopping, fast mental calculation methods are a big advantage.

How to Learn the Trachtenberg Method

  • Learn Basic Tricks First – Begin with easy methods like multiplying by 11 or 12.
  • Practice Daily – Regular practice helps you become faster and more confident.
    Use It Every Day – Apply these mental calculation methods whenever you solve math problems.

What About Vedic Maths?

Along with the Trachtenberg Method, another powerful way to develop mental math is through Vedic Maths.

Vedic Maths comes from ancient Indian techniques and teaches you super-speed methods for multiplication, division, and even complex sums. Like the Trachtenberg Method, it focuses on quick, smart ways to solve problems without stress.

If you're excited to explore more mental math tricks, don't miss our blog on 

You'll learn about Vedic Maths, the Mental Abacus, the Trachtenberg Method, and other amazing mental calculation methods!

Ready to Master Mental Math?

We believe that learning smart mental math tricks can change how students feel about numbers.

Join our fun and interactive non-academic course, Vedic Maths at Interval Learning!

Help your child discover smart shortcuts and easy tricks to solve math problems faster and more confidently, making math exciting and stress-free.

Explore Interval Learning’s Math Programs Now!

Frequently Asked Questions

The Trachtenberg Method of speed mathematics is a smart system of mental math tricks that helps you quickly multiply, add, and divide without needing heavy memorization or a calculator.

No! The method covers fast techniques for multiplication, addition, division, and subtraction, making it a complete mental math system for quicker problem-solving.

Start by learning easy rules like multiplying by 11 or 12, then gradually move to bigger numbers. Practicing daily helps you build strong mental calculation methods.

Absolutely! It helps students solve questions faster and more accurately, making it perfect for school exams, mental math competitions, and quick daily calculations.

Both the Trachtenberg Method and Vedic Maths are powerful mental math techniques. While the Trachtenberg Method uses easy-to-remember rules, Vedic Maths is based on ancient Indian methods that offer equally fast and creative shortcuts. Learning both can make you unbeatable at math!

Yes! At Interval Learning, we offer fun and expert-led courses that teach you mental math tricks, Vedic math to help you become faster, smarter, and more confident with numbers.

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