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Review of Essential Skills:. Accuracy vs. Precision. Calculations Involving Measured Quantities. The accuracy of a measured quantity is based on the measurement tool. The last digit always represents a guess .
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Review of Essential Skills: Accuracy vs. Precision
Calculations Involving Measured Quantities • The accuracy of a measured quantity is based on the measurement tool. • The last digit always represents a guess. • Rule: When making measurements, estimate your measure to the closest tenth of the smallest scale.
Consider a line of length 5.85 cm using the ruler below: • The final digit of 5.85 cm is an estimate of the nearest tenth of the scale. • Using our rounding rule >> 5.85 cm = 5.8 cm • Therefore our answer is accurate to 2 sig figs where “.8” is the least reliable digit.
Accuracy vs. Precision • Accuracy: The number of significant digits within a measured quantity. • Precision: The number of decimal places in a measured quantity.
Eg.1: For each value below determine • The number of significant figures • The accuracy of the value • The precision of the value 2 5 4 y accurate to 2 sig figs I accurate to 5 sig figs z accurate to 4 sig figs y precise to 10 m I precise to 0.0001 cm z precise to 0.000001 m