Definition
A rounding error happens when a number is approximated to fit within a limited number of digits, like when a calculator chops off decimals. It's the difference between the precise number and its shortened version. Think of it like estimating the cost of groceries; you might round up or down, but the final total will be slightly off. These errors are tiny individually, but can snowball in complex calculations. Rounding is crucial, especially when dealing with very large or small numbers. It is essential in computer programming, financial computations and scientific research.