Step-by-Step Breakdown of 6 – 6 × 6
Let us apply the formal order of operations directly to the viral puzzle:
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Step 1: Identify the Operations Present
The expression 6 – 6 × 6 contains two operations:
- Subtraction ($-$)
- Multiplication ($\times$)
Step 2: Determine Priority
According to PEMDAS / BODMAS rules, multiplication holds a higher precedence than subtraction. This means you must perform the multiplication step before performing any subtraction, regardless of the left-to-right reading order.
Step 3: Perform the Multiplication First
Isolate the multiplication part of the expression:
$$6 \times 6 = 36$$
Now, substitute $36$ back into the original expression in place of $6 \times 6$:
$$6 – 36$$
Step 4: Perform the Subtraction
Finally, subtract $36$ from $6$:
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$$6 – 36 = -30$$
The mathematically correct answer to 6 – 6 × 6 is -30.
Why Do So Many People Get the Answer Wrong?
If the mathematical rule is so straightforward, why do these viral teasers generate thousands of incorrect comments online? Psychologists and educators point to three primary mental shortcuts that lead people astray.
1. Left-to-Right Processing Bias
When we read text in English and many other languages, our brains naturally move from left to right. When faced with an equation like $6 – 6 \times 6$, the intuitive human inclination is to read it sequentially from left to right:
- First, subtract $6 – 6 = 0$.
- Next, multiply $0 \times 6 = 0$.
This left-to-right processing bias yields an incorrect answer of 0. While $0$ is a very common answer in comment sections, it violates the standard order of operations because subtraction was performed before multiplication.
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2. Confusion Over Negative Numbers
Another common misconception involves signed numbers and multiplication. Some solvers attempt to group the middle numbers as $(-6) \times 6$, which gives $-36$, but then improperly handle the leading positive $6$, resulting in confusion about whether the final product should be positive or negative.
3. Misinterpreting the Warning
The viral graphic boldly states: “Answer is NOT 36!” This warning is included because some individuals multiply $6 \times 6$ to get $36$ and stop right there, completely ignoring the initial $6 -$. Seeing the bold warning often causes readers to second-guess basic arithmetic and guess zero or other positive whole numbers instead.
