There is no definite answer on any one person who invented the order of operations in algebra. There isn't even strong evidence to state that this or that group or country invented it. It has evolve over time and study by many mathematicians. Some of the rules are natural rules, meaning the equation is solved in the most logical and simple form. Some are artificial rules, which means they are not necessarily simpler, but they are the most effective in solving the equation without error.
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If you put in parentheses, you can change the order of operations in many cases, as parentheses come before everything in the order of operations.
It means that the calculator can follow the order of operations and do the order of operations for you but, you need to know how to do them on your own too.
We have to use the order of operations so everyone solves a problem the same.
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