Lab- Calculate Relative Uncertainty, How many sig figs?

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The discussion revolves around calculating the relative uncertainty of a mass measurement of 1.0 grams, with an uncertainty of ±0.05 grams. The calculation results in a relative uncertainty of 0.05 or 0.050. Participants are debating which representation maintains the correct number of significant figures. The key point is that when dividing the uncertainties, the units cancel out, leaving a dimensionless ratio. The conversation emphasizes the importance of significant figures in reporting uncertainty.
ChiralWaltz
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Homework Statement



Calculate the relative uncertainty in the mass
mass (M) = 1.0 grams

Homework Equations



\frac{\delta M}{M}

The Attempt at a Solution



\delta M = \pm0.05g
\frac {0.05g}{1.0g} = 0.05

or
\frac {0.05g}{1.0g} = 0.050

Which one has the appropriate amount of sig figs?

thanks for your help :)
 
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ChiralWaltz said:

Homework Statement



Calculate the relative uncertainty in the mass
mass (M) = 1.0 grams

Homework Equations



\frac{\delta M}{M}

The Attempt at a Solution



\delta M = \pm0.05g
\frac {0.05g}{1.0g} = 0.05g

or
\frac {0.05g}{1.0g} = 0.050g

Which one has the appropriate amount of sig figs?

thanks for your help :)
The units cancel when dividing grams by grams !
 
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