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Wednesday, August 5, 2026

This equation with 7s seems simple… but almost no one finds the right answer


 

A seemingly simple calculation, familiar numbers, no complicated formulas. And yet, a large majority of people make mistakes in good faith. The reason is simple: we forget a fundamental mathematical rule, learned in school and since then tucked away in a forgotten corner of our memory. Today, let's revisit it together!

An ordinary equation that hides a formidable trap

You are presented with a calculation composed of simple numbers, with no apparent complexity. Nothing intimidating, no obscure formulas. Yet, most people who try it arrive at an incorrect answer. The reason? We naturally tend to treat an equation like an ordinary text: from left to right, performing the operations in the order they appear. And it is precisely this habit that plays tricks on us.

Here is the equation in question:

7 × 7 – 7 ÷ 7 + 7

Ten seconds. Timer started. What result do you get?

What your math teacher taught you that you forgot

An essential reminder: in mathematics, the order in which operations are written does not determine the order in which they must be performed. A very precise rule governs all of this, known as the order of operations . Here's how it applies:

1. First, parentheses . 2. Next, exponents. 3. Then, multiplication and division , handled from left to right. 4. And finally, addition and subtraction , also from left to right.

It's this rule, carefully forgotten since our school days, that changes absolutely everything here. It explains why so many people state their wrong answer with complete confidence!

The detailed step-by-step calculation so you never get caught out again

Let's go over it together: 7 × 7 – 7 ÷ 7 + 7

Step 1 — We start with multiplication and division.

– 7 × 7 = 49 – 7 ÷ 7 = 1

The equation then becomes: 49 – 1 + 7

Step 2 — We move on to additions and subtractions, from left to right.

– 49 – 1 = 48 – 48 + 7 = 55

The correct answer is therefore 55. Not 42, not 0, not 7. Fifty-five, quite simply.

Did you get 55 on your first try? Congratulations! Your memory has retained a mathematical reflex that many have lost without even realizing it. And if you made a mistake, don't worry: with this quick review, this kind of calculation will never stump you again.

Why practicing with these small challenges is good for the brain

These quick exercises are much more than just entertainment. Solving math puzzles stimulates attention, strengthens logical reasoning, and keeps the mind sharp. A true brain workout, as effective for the body as a short morning walk! And the best part: it all takes just ten seconds.

The next time this type of equation appears on your screen, you will know exactly how to approach it without hesitation.

A well-trained brain is the greatest asset in everyday life.

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