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For the grading of the homework, if our answer is slightly off due to rounding differences, will we still receive credit for the problem? And how much leeway approximately do we have in terms of rounding differences for homework answers?
And also, when we are showing our work, will we be penalized if we don't write the units for every single calculation, but only indicate units in the significant portions of the problem and in the final answer?
I think that if you keep in mind the sig fig rules and how to properly decipher how many sig figs are needed in the final answer, you should be able to come up with the correct number. You could also look at the solutions manual so that you know exactly how much you need to round your answer in the end.
I'm not sure if you will be penalized. However, I think it might be good to write the units throughout the whole problem so that your TA will know how you went from say grams to atoms or whatever the problem asks you to do.
In terms of rounding for the homework, I remember Professor Lavelle mentioning to not round any answers until the end to obtain the most accurate answer, and for the final answer as long as we keep the same number of sig figs, I think we will be good. I don't think we will be penalized for not writing the units throughout the problem when we are solving it. As long as we provide the answer with the right units I think it will be okay.
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