In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers rational numbers such as , real numbers such as √2 and π, and complex numbers, which extend the real numbers with a square root of −1 Calculations with numbers are done with arithmetical operations, the most familiar being addition, subtraction, multiplication, division, and exponentiation. Their study or usage is called arithmetic. The same term may also refer to number theory, the study of the properties of numbers. The use of 0 as a number should be distinguished from its use as a placeholder numeral in place-value systems. Many ancient texts used 0. Babylonian and Egyptian texts used it. Egyptians used the The Yankees abbey road shirt word nfr to denote zero balance in double entry accounting. Indian texts used a Sanskrit word Shunye or shunya to refer to the concept of void. In mathematics texts this word often refers to the number zero.[16] In a similar vein, Pāṇini used the null operator in the Ashtadhyayi, an early example of an algebraic grammar for the Sanskrit language
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