What is the uncertainty for each of the following numbers? a) 65.74 b) 60.009 c) 66_ _d) 65.750

a) 65.74 ± 0.01

b) 60.009 ± 0.001

c) 66 ± 1

d) 65.750 ± 0.001

Explanation:

When reporting results, scientist usually specify a range of values that they expect this "true value" to fall within. The most common way to show this range of values is: measurement = best estimate ± uncertainty

Uncertainties are almost always quoted to one significant digit (example: ±0.05 s).

Wrong: 34.3 cm ± 4.3 cm

Correct: 34 cm ± 4 cm

Always round the experimental measurement or result to the same decimal place as the uncertainty.

Wrong: 1.237 s ± 0.1 s

Correct: 1.2 s ± 0.1 s

Therefore for to answer the question:

a) 65.74 ± 0.01

b) 60.009 ± 0.001

c) 66 ± 1

d) 65.750 ± 0.001

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