(i) Define significant figures. (ii) State the criterion used to decide the number of…

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

(i) Define significant figures. (ii) State the criterion used to decide the number of significant figures retained in the final result of a calculation involving only multiplication and/or division of measured quantities. (iii) Three measured quantities are recorded as 2.8 cm2.8\,\text{cm}, 0.037 m0.037\,\text{m} and 5.162 mm5.162\,\text{mm}. Without performing the actual arithmetic, predict how many significant figures the numerical value of the product of these three quantities must finally be expressed to, and explain your reasoning.

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