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Sunday, May 17, 2026

Challenge your mind with this mathematical puzzle to solve in record time


 

Before diving into this challenge, keep in mind that appearances can be deceiving. Prepare to put your math skills to the test and uncover the hidden trick.

Understanding the importance of respecting the order of mathematical operations

When faced with a mathematical equation, it is essential to follow a fundamental rule called PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). In France, the acronym BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) is often used , but the principle remains the same:

  1. Parentheses : It is essential to start by solving what is in parentheses.
  2. Exponents : It is necessary to handle powers, squares, cubes, etc.
  3. Multiplication and Division : These operations must be performed from left to right, in the order in which they appear.
  4. Addition and Subtraction : Finally, these operations must be performed from left to right.

Failing to follow this sequence generally leads to errors. Let's look at this through a concrete example.

Illustration with an equation

7 × 7 ÷ 7 – 1 + 7

Step 1: Priority to multiplication and division

The first step is to solve the multiplications and divisions in the order in which they appear:

  • 7 × 7 = 49
  • 49 ÷ 7 = 7

At this stage, the equation simplifies to:
7 – 1 + 7

Step 2: Additions and Subtractions

The remaining operations must be performed sequentially, from left to right :

  • 7 – 1 = 6
  • 6 + 7 = 13

The final solution

Therefore, the correct answer is 13 .

A challenge that requires rigor

This type of problem highlights a common mistake: failing to follow the order of operations and falling into the trap of hasty reading. Take the time to break down each step to avoid errors. So, did you find the correct answer in less than 10 seconds?

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