No professions use order of operations. It is just a method of solving an equation.
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Because if you perform the operations in a different order your answer will be wrong.
You use order of operations in equations that have more than one type of operation going on (for example, an equation with parenthesis, addition, and multiplication). You would use order of operations in equations like that so you know which operation to do first.
People in the sciences are the main professions that use scientific notation
Professions that do not use scientific notation are most anything outside the sciences.
It is convenient for different people to agree on the standard order of operations. This saves complicated explanations.