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Arithmetic or arithmetics 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 arithmetic functions.
See also
cs:Aritmetika
da:Aritmetik
de:Arithmetik
es:Aritmética
eo:Aritmetiko
fr:Arithmétique
hr:Aritmetika
ia:Arithmetica
it:Aritmetica
sw:Hesabu
la:Arithmetica
lt:Aritmetika
nl:Rekenen
ja:算数
pl:Arytmetyka
pt:Aritmética
ru:Арифметика
simple:Arithmetic
sv:Aritmetik
zh:算术
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