Mathematics plays a crucial role in informing economic theories and practices by providing a framework for modeling economic phenomena, analyzing data, and making predictions. Economic theories often involve complex mathematical equations and models to describe relationships between different variables such as supply and demand, production costs, consumer behavior, and market competition. By using mathematical tools like calculus, statistics, and linear algebra, economists are able to develop more accurate models, conduct empirical research, and test hypotheses to understand and predict economic outcomes. Ultimately, mathematics helps economists make more informed policy decisions, optimize resource allocation, and develop strategies to address economic challenges.