PEMDAS, indeed. But I think that you have to give equal weights to mult / div and add / subtract instead of presenting them in a hierarchy. Otherwise
10-5+5
would do the addition first and become
10 - 10
and equal zero. I'm pretty sure that 10 - 5 + 5 is 10. I had forgotten that mnemonic, though.
Parentheses
Exponents (evaluate sequential exponents right to left!)
Multiply or Divide
Add or Subtract
Pedantic, ain't I?