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Not really. It's entirely arbitrary that multiplication is done before addition. We could imagine a system in which addition is done first: in this system, 2*3+5 would be 2*8 or 16, and if people wanted the other order, they'd write (2*3)+5. The reason for the order of operations that everyone uses is mostly tradition, but it also makes sense because you usually want to multiply before you add.

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Q: Is it true no one invented order of operations?
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