The word is a Latinization of the name of the 9th-century Persian mathematician al-Khwarizmi , whose work introduced decimal arithmetic to Europe.
Historically, is the technique of performing basic arithmetic using the Hindu-Arabic numeral system (place-value notation). algorism
While algorism specifically denotes decimal calculation, an algorithm refers more broadly to any step-by-step procedure for solving a problem. The word is a Latinization of the name