This is a 1/2 question, but I'd appreciate an answer. When am I supposed to use scientific notation? In my assessments, I haven't been marked down for not using scientific notation but I'm not sure whether this is due to my teacher being lenient or not. For example, when I calculate empirical formulas and molecular formulas from percentage compositions, I don't use scientific notation. Am I supposed to? If so, how/when?
The only time you absolutely must give your final answers in scientific notation is in the situation where otherwise your answer would be to an incorrect number of significant figures. For example, let's say your final answer to a calculation is 1300 mol, but you're supposed to give your answer to three significant figures only. 1300 mol is to four significant figures and rounding the number won't do any good, so you'd need to instead express the answer as 1.30 x 10
3 mol. Other than such a scenario, it's also a good idea to give an answer in scientific notation when it's a really small value (e.g. 0.00004 mol = 4 x 10
-5 mol)
As for calculating empirical and molecular formulas, you never have to use scientific notation. Why? Because your final answer won't be numerical; it'll be a formula. You can't express an empirical or molecular formula using scientific notation.