Explanations:The concept of zero as a number and not merely a placeholder was developed in ancient India. The number zero is a fundamental concept in mathematics, representing the absence of quantity or a neutral element in arithmetic operations. The development of zero as a number was a significant milestone in the history of mathematics, as it allowed for the creation of the place-value system and the development of algebra and calculus.
Indian mathematicians Aryabhata and Brahmagupta are credited with the creation and formalization of the number zero. Aryabhata, who lived in the 5th century CE, used zero as a placeholder in his numerical system. Brahmagupta, who lived in the 7th century CE, was the first to treat zero as a number in its own right, defining rules for arithmetic operations involving zero. He established that zero plus any number is the number itself, zero minus any number is the negative of that number, and any number multiplied by zero is zero.
The development of zero as a number was a significant contribution to the field of mathematics. It allowed for the creation of the decimal system, which is the basis for modern arithmetic and algebra. The concept of zero also had profound implications for the development of science and technology, as it enabled the precise measurement and calculation of quantities.
It is important to note that while the concept of zero as a placeholder existed in other ancient civilizations, such as the Mayans and Babylonians, the formalization of zero as a number is attributed to Indian mathematicians. The contributions of Aryabhata and Brahmagupta to the development of zero as a number are recognized as a significant achievement in the history of mathematics.