Error and significant figures when rounding?

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bingoboy
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Homework Statement


So I'm determining the specific heat capacity of brass for a lab report, when i initially measured temperature it was to two significant figures (this was the measurement with the least significant figures)

My final answer, remarkably was 0.38 (j/g*K) but my error was 0.0235 so i rounded that to two significant figures, however doing that i get an answer of 0.38±0.024. This means that my highest and lowest measured value would be to three significant figures (0.38-0.024=0.356 (j/g*K)) see my problem?


Homework Equations





The Attempt at a Solution


Should i round the error to the hundredths place or should i just leave my error as it is?
 
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You think it correctly, the error has to be rounded to 0.02.

ehild