# How many significant figures should their answer have if they were to calculate the density when John and Jack mass an object that is 50.0g with a volume of 2.5cm^3?

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gsenviro | Certified Educator

In case of multiplication and division, the final answer cannot have more **significant figures** than the numbers being multiplied or divided with the least number of significant figures.

Density is the ratio of mass to the volume of a material.

In this case the mass is 50.0 g and its volume is 2.5 cm^3.

Hence density = mass/volume = 50.0/2.5 (g/cm^3) = 20 g/cm^3

Here, the volume has only 2 significant figures and hence our answer cannot contain more than that many, 2, significant figures.

Therefore the answer (density) will also have only 2 significant figures.