Mathematical formulas are concise ways to express relationships between different quantities or concepts using symbols and numbers. They provide a systematic method for solving problems and can represent everything from basic arithmetic to complex scientific theories. For example, the formula for the area of a rectangle is A = l × w, where A is the area, l is the length, and w is the width. Formulas are essential in various fields, including physics, engineering, and economics. They help in making predictions, calculating values, and understanding patterns. By using formulas, mathematicians and scientists can communicate ideas clearly and efficiently, allowing for advancements in technology and knowledge.