RIDDLE: This math problem ignites passionate debates about the right answer!
“8 ÷ 8 = 1.”
These differences in interpretation of the order of operations lead to this method of solution, in which multiplication outside the parentheses takes precedence over division.
This leads to two different points of view: some people are convinced that the answer is 16, while others insist that the correct answer is 1.
The Role of Conventions
The discussion of this problem shows that although mathematics presents itself as an objective and exact science, it is in reality also heavily dependent on human conventions, interpretations and contexts.
According to Mike Breen of the American Mathematical Society, the correct answer to question 16 is, according to the order of operations PEMDAS.
However, he noted that the equation is ambiguous as it is currently written and allows for different interpretations, making it difficult to draw a definitive conclusion about its meaning.
In the abstract world of mathematics, where precision and logic are central, situations can arise in which ambiguities arise. Despite the efforts of mathematicians to use clear rules and definitions, it is still conceivable that there are multiple possible interpretations for certain concepts or problems.
“Breen explained that while the conventional answer is 16, he wouldn’t immediately correct someone who says the answer is 1.”
The ambiguity in mathematics is reminiscent of conventions of language and culture.
“Comparisons can have different meanings depending on the context.”
This was emphasized by Rhett Allain, a physics professor at Southeastern Louisiana University.