This document discusses radioactive decay, half-lives, nuclear fission, and nuclear fusion. It defines half-life as the amount of time it takes for half of a radioactive substance to decay and provides examples of calculating decay based on half-lives. It explains that nuclear fission occurs when a heavy nucleus is split by a neutron, releasing energy and sometimes extra neutrons to continue the chain reaction. Nuclear fusion is when two light nuclei join to form a heavier nucleus, also releasing energy, and this is the process that powers the sun. Both fission and fusion can be used for nuclear energy production and weapons.