# algebraic operation

**algebraic operation** Operation of ordinary algebra: that is, the arithmetical operations 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 arithmetical 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. See also arithmetic

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**algebraic operation**