A system of numeration, also known as a numeral system, is a way of representing numbers using symbols or digits. There are a variety of synonyms for the term system of numeration, including number system, counting system, numerical notation, and mathematical notation. These terms all refer to the different methods of representing and manipulating numbers, such as the decimal system, binary system, or Roman numerals. Each of these systems has its own set of symbols and rules for combining them to represent different numbers. Understanding these different systems of numeration is crucial for mathematical operations and problem-solving in various fields, from science and engineering to finance and accounting.