A student is calculating the thickness of a single sheet of paper. She measures the thickness of a stack of 80 sheets with Vernier calipers, and finds the thickness to be l = 1.27 cm . To calculate th

Question

A student is calculating the thickness of a single sheet of paper. She measures the thickness of a stack of 80 sheets with Vernier calipers, and finds the thickness to be l = 1.27 cm . To calculate the thickness of a single sheet she divides the total thickness of sheets with number of sheets. Which of the following answer has the correct number of significant digits?

TestHub · Accepted Answer

The thickness of a single sheet is calculated by dividing the total thickness by the number of sheets: $t = \frac{l}{N} = \frac{1.27 c m}{80} = 0.015875 c m$ .

Since the initial measurement $l$ has three significant figures, the final answer should also have three significant figures.

Converting to millimeters, $0.015875 c m = 0.15875 mm$ .

Rounding to three significant figures gives $0.159 mm$ .

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