Precision refers to how close a measured number is to other measured numbers how close a measured number is to the true value how close a measured number is to zero how close a measured number is to infinity how close a measured number is to the calculated value
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• How can precise and accurate measurement be achieved in spite of the inherent measurement uncertainty? (You will want to define accuracy and precision). • What is precision and accuracy in chemistry? • Accuracy is a measure of how close a measurement is to the correct or accepted value of the quantity being measured. Precision is a measure of how close a series of measurements are to one another. Precise measurements are highly reproducible, even if the measurements are not near the correct value
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Definition and example of exact numbers. Definition of significant figures. With a high-accuracy rule, the length of an object is measured exactly at 9.00 cm: Is the 9.00 cm measured an exact number or an inexact number?
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Accuracy is an indication of error. The absolute value of the difference between the actual measure of an object and the allowable measure is the absolute error. The relative error is the ratio of the absolute error to the actual measure. The relative error is expressed as a percent. For a length of 11 inches and an allowable error of 0.5 inch, the absolute error and relative error can be found as follows. $$\frac{\text { absolute error }}{\text { measure }}=\frac{| 11 \text { in. }-11.5 \text { in. } |}{11 \text { in. }}=\frac{0.5 \text { in. }}{11 \text { in. }} \approx 0.045 \text { or } 4.5 \%$$ Determine the relative error for each measurement. $$27 \mathrm{ft}$$
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