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Usually just use the constant they give in the equation sheet, which I believe is usually 6.626*10^-34 J*s. Rounding up sometimes can eventually lead your answer to be slightly off from the real answer, so it is better to be more precise with your constants.
I don't think it will change your answer too much, but if you're rounding at multiple steps during the process then your final answer won't be as accurate as it could. If possible, I would avoid rounding as much as possible until getting to the final step.
On tests, I personally would just use all of the figures in the constants the sheet gives you to get the most accurate number. Even in doing informal practice problems, I would use 6.626 because changing the number to 6.63 will give you a slightly different answer and sometimes you don't know if it's because you missed a step in the problem or because you just substituted a constant.
I think it's best to use the value you are given rather than rounding. However, if you do choose to your answer shouldn't be off by that much. My TA has mentioned that if you are within a certain range, specific to each TA, you'll still receive full credit. Personally, I'm one to write out all of the steps so sometimes I short hand (round) when I'm writing it out, but when I plug it into the calculator I type out the full value. If you are doing it for your own practice I don't see a problem with rounding, but for a test/exam, it would be better to use the full value.
Personally, I would use whatever number is more accurate. In test scenarios I would go for every digit given on the constants sheet. It shouldn't be too much of a big deal though to opt for 6.63 so long as it is clear that you're using that number and your answer is pretty much the same.
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