After calculating the density for and object that had a mass of 200.0g and a volume of 50cm3, how many significant figures should their answer have?

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gsenviro | College Teacher | (Level 1) Educator Emeritus

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Density is the ratio of mass to the volume of a body, thus in current case:

Mass = 200.0 gm

Volume = 50 cm^3

Density = mass/volume = 200.0/50 = 4 g/cm^3

In case of multiplication or division, the answer will have the same number of significant figures as the number with least number of significant figures.

Here, among the mass and volume, volume has the least number of significant figures, i.e. 1 and hence density will also have only 1 significant figure.

Thus the answer will be reported as, density = 4 gm/cm^3.

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