Exponential growth and exponential decay can easily be recognized by directly observing the changes of a quantity may it be in charts or in diagrams. Exponential growth is the quick growth of quantity of a certain item in regular intervals while exponential decay is the reverse.
Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.