# algebraic operation

An algebraic operation is an operation of ordinary algebra;
that is, any of the arithmetic operations of addition, subtraction, multiplication,
and division. Operations that involve infinite
series and functions such as log *x* are not algebraic – they depend on the use of limits.
The term algebraic is also applied to arithmetic operations carried out
with due regard to sign. Thus, the algebraic sum of *a* and -*b* is *a* - *b*, the algebraic product of -*a* and -*b* is +*ab*, etc.