# Dating 800 numbers

The negative of a positive integer is defined as a number that produces 0 when it is added to the corresponding positive integer.Negative numbers are usually written with a negative sign (a minus sign).The Egyptians invented the first ciphered numeral system, and the Greeks followed by mapping their counting numbers onto Ionian and Doric alphabets.Roman numerals, a system that used combinations of letters from the Roman alphabet, remained dominant in Europe until the spread of the superior Arabic numeral system around the late 14th century, and the Arabic numeral system remains the most common system for representing numbers in the world today.Today, number systems are considered important special examples of much more general categories such as rings and fields, and the application of the term "number" is a matter of convention, without fundamental significance.Numbers should be distinguished from numerals, the symbols used to represent numbers.The following paragraph will focus primarily on positive real numbers.The treatment of negative real numbers is according to the general rules of arithmetic and their denotation is simply prefixing the corresponding positive numeral by a minus sign, e.g. Most real numbers can only be approximated by decimal numerals, in which a decimal point is placed to the right of the digit with place value 1.

As there is no common standard for the inclusion or not of zero in the natural numbers, the natural numbers without zero are commonly referred to as positive integers, and the natural numbers with zero are referred to as non-negative integers.

For example −7 can be written They include all the measuring numbers.

Every real number corresponds to a point on the number line.

Alternatively, in Peano Arithmetic, the number 3 is represented as sss0, where s is the "successor" function (i.e., 3 is the third successor of 0).

Many different representations are possible; all that is needed to formally represent 3 is to inscribe a certain symbol or pattern of symbols three times.

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