Floating point numbers are a method of representing real numbers in computer memory, allowing for the storage of fractional values. They are composed of three main components: the sign bit, the exponent, and the significand (or mantissa). This representation enables computers to handle a wide range of values, including very small and very large numbers, with a trade-off in precision. The floating point unit (FPU) is a specialized component within a CPU that performs arithmetic operations on floating point numbers, facilitating complex calculations in various applications, including scientific computing and graphics processing. FLOPS, or floating point operations per second, is a metric used to measure a computer's performance in executing floating point calculations, highlighting its efficiency in processing tasks that require high precision and speed. Understanding floating points is crucial for optimizing algorithms and ensuring accurate computations in software development.