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. . . the two with (appreciable) mass: protons and neutrons.
The Atomic Mass number of an element is determined by mass of the nucleus of an atom. Therefore the particles that make up the nucleus determine the mass number. These particles are protons and neutrons.

The mass of the protons and neutrons do not vary between elements, but the number of each in the nucleus varies between elements and between isotopes of the same element.
Protons and neutrons.
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The sum of the numbers of protons and neutrons determine the mass number. Electrons have negligible mass compared to protons and neutrons.
The particles counted are neutrons and protons each having a relative atomic mass of 1. The atomic number is the number of protons.
Atomic mass of an atom is the mass of the nucleus.

Hence the atomic mass is the sum of the number of protons an neutrons present in the nucleus of the atom. The electrons are not considered as their mass is negligible compared to the mass of the neutrons and protons.

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