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Are there any cultures or countries around the world that use a different convention for order of operations than the BEDMAS convention? i.e.:

  1. Parentheses
  2. Exponents & Roots
  3. Multiplication & Division
  4. Addition & Subtraction
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    $\begingroup$ I’m not aware of any now, but on page $2$ of Cayley’s An Elementary Treatise on Elliptic Functions, originally published in $1876$, we find $$\frac{Rdx}{\sqrt{1-x^2\,.\,1-k^2x^2}}$$ for $$\frac{Rdx}{\sqrt{(1-x^2)(1-k^2x^2)}}\;.$$ $\endgroup$ – Brian M. Scott Apr 22 '15 at 17:55
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I doubt such differences could exist in modern history after the introduction of compulsory school education (among other things that was one of the reasons behind the standartisation of mathematical notations).

The only case for such difference can come in oral tradition: recall the infamous joke about "two plus two times two". The Windows built-in calculator stil outputs different results depending on whether you use "standard" or "engineering" view.

Finally, it might be interesting to look into Polish and reverse Polish notattions. These notions refer mostly to computer theory, yet they are still relevant.

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