Aryabhata's Early Place-Value System

In 499 CE, Indian mathematician and astronomer Aryabhata completed his work 'Aryabhatiya', which contained a positional number system using Sanskrit letters that implicitly required the concept of zero. While not explicitly using a zero symbol, his place-value system enabled complex calculations including square and cube roots, and expressed astronomical constants with precision. His method employed a system where 'from place to place increase 10 times', establishing the decimal place-value principle that later Indian mathematicians like Brahmagupta would further develop.