How did we discover PEMDAS? If math is just representative of real things, why does it matter the order? I know that going out of order yields the wrong answer, but why does going through PEMDAS yield the right one?
In: Mathematics
We didn’t discover it, order of operations is like grammar for math.
When you’re writing a sentence or an equation both the reader and the writer must agree on the correct structure, otherwise the meaning is lost.
The order of operations should be clear and easily followed. If it isn’t, the equation is poorly formatted.
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