# Arithmetic

**Arithmetic** is a branch of (or the forerunner of) mathematics which records elementary properties of certain *operations* on numerals.

The traditional arithmetic operations are addition, subtraction, multiplication and division, although more advanced operations (such as manipulations of percentages, square root, exponentiation, and logarithmic functions) are also sometimes included in this subject. Arithmetic is performed according to an order of operations.

The arithmetic of natural numbers, integers, rational numbers (in the form of fractions), and real numbers (using the decimal place-value system known as algorism) is typically studied by schoolchildren, who learn manual algorithms for arithmetic. However, in adult life, many people prefer to use tools such as calculators, computers, or the abacus to perform arithmetical computations.

The term *arithmetic* is also used to refer to number theory. This includes the properties of integers related to primality, divisibility, and the solution of equations by integers, as well as modern research which is an outgrowth of this study. It is in this context that one runs across the fundamental theorem of arithmetic and arithmetical functions.

## See also

- addition in N
- additive inverse
- associativity
- commutativity
- distributive property
- finite field arithmetic
- number line

Topics in mathematics related to change
| Edit |

Arithmetic | Calculus | Vector calculus | Analysis | Differential equations | Dynamical systems and chaos theory | List of functions |