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When were the order of operations introduced into mathematics?

The "order of operations" were not introduced in the sense that some other order is possible or that the "order of operations" is arbitrary. For example: 5^2 + 3^2 = 25 + 9 = 34 The powers done first followed by the addition. This is very different than (5 + 3)^2 = 8^2 = 64 The addition done first, then the powers. Or the latter is: 5^2 +2*5*3 + 3^2 = 25 + 30 + 9 = 64 using the expansion of a binomial. The order of operations is imbedded in the definition of the various operations.

Vince Calder

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