- The document discusses the origins and development of the number zero and the decimal numeral system. It originated in ancient India, where zero was used as a place-holder in the decimal system by 3000 BC. This system was later adopted by Arab mathematicians and brought to Europe, revolutionizing mathematics. Key figures who helped develop and popularize the system included Brahmagupta, Al-Khowarizmi, and Fibonacci. Today this decimal numeral system is known as the Hindu-Arabic system.

1. Mathematics Assignment
-Rachel Elizabeth Thomas
X-B
Roll no. 23

2. The Story of
Zero

3. Perhaps the most fundamental contribution of ancient India to the
progress of civilisation is the decimal system of numeration
including the invention of the number zero. This system uses 9
digits and a symbol for zero to denote all integral numbers, by
assigning a place value to the digits. This system was used in
Vedas and Valmiki Ramayana. Mohanjodaro and Harappa
civilisations (3000 B.C.) also used this system. The ancient
Egyptians (5000 B.C.) had a system based on 10, but they didn't
use positional notation. Thus to represent 673, they would draw
six snares, seven heel bones and three vertical strokes.
Babylonians in Mesopotamia (3000 B.C.) had a sexagesimal
system using base 60. Greeks and Romans had a cumbersome
system (try to write 2376 in Roman numerals).

4. Many civilisations had some concept of "zero" as nothing - for
example, if you have two cows and they both die, you are left
with nothing. However, the Indians were the first to see that
zero can be used for something beyond nothing - at different
places in a number, it adds different values. For example, 76
is different from 706, 7006, 760 etc. Brahmgupta (598 AD 660 AD) was the first to give the rules of operation of zero.
• A + 0 = A, where A is any quantity.
• A - 0 = A,
• A * 0 = 0,
• A / 0 = Not Defined
He was wrong regarding the last formula. This mistake was
corrected by Bhaskara (1114 AD - 1185 AD), who in his
famous book Leelavati claimed that division of a quantity by
zero is an infinite quantity or immutable God.

5. The ancient Indians represented zero as a circle with a dot inside. In Sanskrit, it
was called "soonya". This and the decimal number system fascinated Arab
scholars who came to India. Arab mathematician Al-Khowarizmi (790 AD 850 AD) wrote Hisab-al-Jabr wa-al-Muqabala (Calculation of Integration and
Equation) which made Indian numbers popular. "Soonya" became "al-sifr" or
"sifr". The impact of this book can be judged by the fact that "al-jabr" became
"Algebra" of today. An Italian Leonardo Fibonacci (1170 AD - 1230 AD)
took this number system to Europe. The Arabic "sifr" was called "zephirum"
in Latin, and acquired many local names in Europe including "cypher". In
the beginning, the merchants used to Roman numbers found the decimal
system a new idea, and referred to these numbers as " infidel numbers", as the
Arabs were called infidels because they had invaded the holy land of
Palestine. However, nowadays this system is called Hindu-Arabic System.
This positional system of representing integers revolutionised the
mathematical calculations and also helped in Astronomy and accurate
navigation. The use of positional system to indicate fractions was introduced
around 1579 AD by Francois Viete. The dot for a decimal point came to be
used a few years later, but did not become popular until its use by Napier.