# Arithmetic - Early Development Of Arithmetic, Numbering System, Axioms Of The Operations Of Arithmetic, Numbers And Their Properties

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Arithmetic is a branch of **mathematics** concerned with the numerical manipulation of numbers using the operations of **addition**, **subtraction**, **multiplication**, **division**, and the extraction of roots. General arithmetic principles slowly developed over **time** from the principle of counting objects. Critical to the advancement of arithmetic was the development of a positional number system and a symbol to represent the quantity **zero**. All arithmetic knowledge is derived from the primary axioms of addition and multiplication. These axioms describe the rules which apply to all **real numbers**, including whole numbers, **integers**, rational, and irrational numbers.

## Additional topics

- Arithmetic - Early Development Of Arithmetic
- Arithmetic - Numbering System
- Arithmetic - Axioms Of The Operations Of Arithmetic
- Arithmetic - Numbers And Their Properties
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