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Lets say the problem gives you the wavelength of some type of light (2.69x10^-9) and wants you to find the energy of this light. You would first find the frequency of this light source by using . When you do the math and get the frequency of the light, do you round it to 3 significant figures right away and then solve for energy using or do you use the unrounded answer in your calculator and plug that into ?
Personally, for a problem like this, I would actually rearrange the equation c=λv into v=c/λ and then plug the rearranged equation into E=hv for v in order to avoid any rounding errors. However, if you were to do it with multiple steps, my TA actually told me to round the first answer at least 2 sig figs beyond the needed amount (in this case you would round to 5 sig figs) and then plug that into E=hv for your final answer.
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