A balance shows the mass of a chemical sample as

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

A balance shows the mass of a chemical sample as 2.4350 g2.4350\,\text{g}. This mass is to be used in further calculations. (i) Round the mass to four significant figures. (ii) Round the same mass to three significant figures. (iii) Give a short justification for the digits retained in parts (i) and (ii), paying special attention to the treatment of the trailing zero in the original reading. (iv) The sample occupies a volume of 0.46 cm30.46\,\text{cm}^3 (two significant figures). Calculate the density of the substance in g cm−3\text{g cm}^{-3} and express the final answer to the correct number of significant figures.

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