Adelic numbers are a mathematical concept that combines the ideas of rational numbers and p-adic numbers. They are used in number theory to study solutions to equations and properties of numbers in a unified way. An adelic number can be thought of as a collection of numbers, one from each p-adic field and one from the real numbers, allowing mathematicians to analyze numbers across different systems. The structure of adelic numbers is built on the adele ring, which consists of all possible combinations of these numbers. This framework helps in understanding various mathematical phenomena, including algebraic geometry and automorphic forms. Adelic numbers provide a powerful tool for researchers exploring deep connections in mathematics.