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Sig Figs are important, but I would argue that making sure you have the right units is also important. Especially when using the speed of light and disproving certain ideas like that an electron is drawn into the nucleus, correct significant figures are essential.
Sig figs are used to make sure your answers are accurate and remember that it depends if you are multiplying/dividing or adding/ subtracting that you either use the least amount of sig figs when you add and subtract or use the least amount decimal places when mult. / dividing.
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