The order that operations are to be performed (when not clearly identified)
is summarized with the following memory device:
Please Excuse My Dear Aunt Sally (PEMDAS)
- Do things inside Parentheses first (using PEMDAS, if needed, inside the parentheses).
- Then do all Exponents, in order as they occur, going from left to right.
- Then do all Multiplications/Divisions (they have equal weight) in order as they occur, going from left to right.
- Finally, do all Additions/Subtractions (they have equal weight) in order as they occur, going from left to right.
EXAMPLES:
[beautiful math coming... please be patient]
$-1 + 3\times 5 - 2 = -1 + (3\times 5) - 2 = 12$
[beautiful math coming... please be patient]
$2 - 10\div 5 + 3 = 2 - \frac{10}{5} + 3 = 3$
Feel free to use a pencil and scrap paper to work these problems.
However, do not use your calculator!