What Is 8 – 8 * 8 + 8? Math Order of Operations Explained

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Beyond the Viral Trap: Solving the Classic 8 – 8 * 8 + 8 Puzzle

Every few weeks, a seemingly simple math equation pops up on social media, sparking thousands of heated debates in the comment sections. People insist the answer is zero, sixteen, or some other creative number, all while arguing passionately over elementary-school arithmetic.

One classic variant of this internet phenomenon is the expression: 8 – 8 * 8 + 8.

At first glance, it looks harmless—just a string of identical digits. But beneath its friendly appearance lies a tiny cognitive trap. Let’s break down this problem step-by-step and explore why it trips up so many people.


The Golden Rule: Order of Operations

At the heart of every math debate lies a fundamental agreement on how we read expressions: the Order of Operations, often remembered by acronyms like PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

When faced with mixed operations, we don’t just read straight from left to right like a normal sentence. Instead, multiplication and division take strict precedence over addition and subtraction.


Step-by-Step Breakdown

Let’s apply these rules directly to 8 – 8 * 8 + 8:

Step 1: Handle the Multiplication

Looking at our expression, we have a subtraction, a multiplication, and an addition. According to the order of operations, the multiplication must be calculated first:

  • 8 * 8 = 64

Now, substitute that result back into the original expression:

  • 8 – 64 + 8

Step 2: Evaluate Addition and Subtraction from Left to Right

Now we are left with only subtraction and addition. A very common misconception is that addition always comes before subtraction simply because of how the acronyms are written. In reality, addition and subtraction share the exact same priority level and must be evaluated strictly from left to right.

First, perform the subtraction on the left:

  • 8 – 64 = -56

Next, add the final 8:

  • -56 + 8 = -48

The final, mathematically sound answer is -48.


Why Do People Get It Wrong?

It is easy to see why social media explodes over problems like this. There are two primary traps people fall into:

  • The Left-to-Right Naive Approach: Many readers treat the equation like a book, calculating 8 - 8 = 0, then 0 * 8 = 0, and finally 0 + 8 = 8. This completely ignores the binding priority of multiplication.
  • The Addition-Before-Subtraction Misconception: Some people correctly calculate 8 * 8 = 64, but then mistakenly add 64 + 8 = 72 before subtracting, turning the expression into 8 - 72 = -64. This error happens when people assume addition must always happen before subtraction because ‘A’ comes before ‘S’ in PEMDAS.

Conclusion

Math isn’t designed to trick us—it has strict, logical rules built to ensure that no matter where you are in the world, a numerical expression evaluates to one unambiguous truth.

The next time 8 – 8 * 8 + 8 or a similar puzzle crosses your feed, you’ll know exactly how to navigate the pitfalls, cut through the online noise, and arrive confidently at -48.

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