Science & technology

Brahmagupta sets out the rules for zero

628 CE

In 628 AD the Indian mathematician and astronomer Brahmagupta, working at Bhillamala in Rajasthan, completed his Brahmasphutasiddhanta. It is the earliest surviving text to treat zero as a number in its own right, with rules for adding, subtracting and multiplying with it, as well as with negative numbers, which he called debts, and positive ones, fortunes. Earlier cultures had used zero as a placeholder in written numbers, but Brahmagupta's rules made calculations possible. The decimal place-value system, with zero, passed to the Islamic world and then, through Fibonacci, to Europe. He also gave a formula for the area of cyclic quadrilaterals.

Open on the timeline

Before and after

More in Science & technology

The era

This moment belongs to the Medieval world (500 CE to 1500 CE), kingdoms, faiths and trade routes. You can also browse everything in the 7th century.