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I would keep the molar masses as precise as possible until you get your final calculation to prevent any rounding error. Then, determine the number of sig figs based on the smallest value given in the problem.
It doesn't count for sig figs but I think Dr. Lavelle just likes to round it off (round 15.999 g/mol for O to 16) for lecture to make things simple. But definitely when doing calculations, try to keep all numbers and round off until the end.
Is there a certain periodic table that we need to use because I know that some periodic tables online the molar masses are rounded while the one in the textbook is more precise. Would the rounding affect any answers?
It's your final answer to a problem that counts for sig figs. However, to ensure that your final answer is accurate, I would keep the molar mass and other calculations in between in their longest form as evident on the periodic table and then use sig figs for your final answer.
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