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The order of operations formalizes the route (the convention) through a mathematical equation. As an example 2+6x2=? gives one answer when the order (Multiply, Divide, Add, Subtract) is followed and a wrong answer if it is not. Worked out properly we multiply 6x2 first to get 12 then add 2 to get 14. If we simply do the actions in the order they occur we add 2+6 to get 8 then multiply by 2 to get 16.The complete order of operations is a bit more complicated than used in this example, it is "Parentheses, Exponents, Multiplication and/or Division, and Addition and/or Subtraction".

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Q: When and why does order matter in math?
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