REAL-LIFE APPLICATIONS OF ABSOLUTE VALUE IN MATHEMATICS
##semicolon##
Keywords: absolute value, modulus, distance, number line, measurement error, tolerance, temperature, statistics, real-life mathematics.Annotatsiya
Abstract. Absolute value, also called modulus, is a fundamental mathematical concept that represents the non-negative magnitude of a real number and its distance from zero on the number line. Although it is introduced as an elementary algebraic idea, absolute value has many practical applications in everyday life, science, engineering, economics, statistics, computing, navigation, measurement, and optimization. This article explains the mathematical properties of absolute value and demonstrates its real-life meaning through practical problems involving temperature, distance, financial change, measurement error, manufacturing tolerance, statistics, and coordinate geometry. Step-by-step examples show how absolute value converts signed differences into meaningful non-negative distances or magnitudes.