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Isotopes of an element are atoms that all have the same atomic number (or number of protons in the nucleus) but have different atomic masses (hence different numbers of neutrons in the nucleus).
For example, all atoms of oxygen have 8 protons in the nucleus and hence have an atomic number of 8.
Statistical probablity is the only thing we can know exactly.
In reality, every atom is an isotope of one element or another.
Instead, it is really the Problem solving in the geosciences was forever changed with the discovery of radioactivity.
Radioactive elements can be used to understand numerical age of geological materials on time scales as long as (and even longer than) the age of the Earth.
Showing this plot and asking them questions about the shape and changes in number of isotopes through time may help students to develop some intuition about half-life.
Although most introductory students may not be prepared for the equation for exponential decay, discussion of half-life and radioactive decay prepares entry-level students for the introduction of more mathematical discussion of exponential growth and decay in upper level classes.
Most students don't really know how isotopes are used to determine age.