Final answer:
Geologists use radiometric dating, based on radioactive decay, to determine the exact age of geological materials. This process, key to absolute dating, measures the ratio of parent and daughter isotopes to estimate the material's age. The assumptions made include no initial daughter isotopes and a closed system.
Step-by-step explanation:
Geologists indeed utilize the natural radioactive decay of elements as a fundamental method for dating various geological materials such as rocks and fossils. This process is characterized as radiometric dating. It is particularly helpful for determining the absolute age of a subject material by analyzing the ratio between the parent and daughter isotopes present within.
When using radiometric dating, a couple of assumptions are made. Firstly, it is presumed that no daughter atoms were present when the material first formed. Secondly, the subject material is assumed to have remained a closed system since its formation. These assumptions are essential to generate accurate age calculations.
Contrastingly, relative dating is another method used by geologists to determine the sequence of events in Earth's history without necessarily providing numerical ages. However, for exact age determination, absolute dating techniques, particularly those employing radioactive isotopes, are applied.