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Comments on What're the orders for equation expressing?

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What're the orders for equation expressing?

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When doing an equation in programming or real calculations, equation expression takes in a specific order. In a single equation, I use the PEMDAS/GEMDAS order, which goes:

  • Perform all operations that are grouped up by parentheses first before non-grouped ones; the more it's grouped will be performed first
  • In the (grouped) equation, any values to be exponentiated will be exponentiated first
  • If multiplication goes first before division in the (grouped) equation, multiply the values to be multiplied, and vice versa
  • If addition goes first before subtraction in the (grouped) equation, add the values to be added, and vice versa

I want to explore further though, see if there are any other orders out there so I can figure how I can solve other complex equations, like the modulo, which is not in PEMDAS for all I know.

Question: Are there any other equation expression orders that are considered valid by professional mathematicians?

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Terminology (1 comment)
Terminology
JRN‭ wrote over 2 years ago

You say "Solve all operations" but it seems that you mean "perform all operations." Instead of "equation solving," it seems that you are interested in "expression evaluation." For example, when you evaluate the expression "4(3+2)" as "20," you are not solving any equations (the expression does not have an equals sign).