the mass number of an atom is the number of protons in an atom, plus the number of neutrons.
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mass numbers are whole numbers because the mass number is number of protons in an atom, plus the number of neutrons. you can only have a whole neutron and or proton, therefore, all mass numbers are whole numbers.
Density is calculated by dividing the mass and volume of an object.
Density
The main reason is that many elements exist in several isotopic forms. These are atoms with the same number of protons and electrons but different numbers of neutrons. Since the atomic mass is essentially based on the number of protons and neutrons in each atom, the element will exist in several forms with different masses. The atomic mass is the average of the masses of these isotopes, weighted together according to their abundance.
The mass doesn't change; just the numbers.