# algebraic expression

## algebraic expression

[¦al·jə¦brā·ik ik′spresh·ən]
(mathematics)
An expression which is obtained by performing a finite number of the following operations on symbols representing numbers: addition, subtraction, multiplication, division, raising to a power.

## Algebraic Expression

an expression consisting of letters and numbers joined by signs denoting the operations of addition, subtraction, division, raising to whole-number powers, and extraction of roots (exponents of powers and indices of radicals must be constants). An algebraic expression is said to be rational with respect to certain literal symbols included within it if such symbols do not appear under a radical sign: for example, is rational with respect to a, b, and c. An algebraic expression is said to be integral with respect to certain literal symbols if it does not contain any division by expressions containing those symbols: for example, 3a/c + bc2 − 3ac/4 is integral with respect to a and b. If some or all of the literal symbols are considered to be variables, the algebraic expression is an algebraic function.

## algebraic expression

One or more characters or symbols associated with algebra; for example, A+B=C or A/B.
References in periodicals archive ?
An algebraic expression may be regarded, for example, as a set of symbols to be manipulated (a process perspective), or as a structural object (object perspective).
At a later stage, by hanging the blue weights on the far side of the Number Balance, elements of an algebraic expression can be hidden from student view.
However, as Pitso remarked, although the mnemonic constructed an empirical referent for learners, the referential relations created could not be translated into potential theoretical objects without understanding what was essential to the algebraic expression (10x--x).
And Andrew Bourke of the University of East Anglia in Norwich, England, says the new work takes "a very narrow view of inclusive fitness theory, focusing on details of algebraic expression of the theory at the expense of its essential insights.
An algebraic expression such as "2a+5b" is a procept which stand dually for the process add two times a to five times b which can be manipulated mentally as an object.
In terms of algebraic expression the five cases that received the Campus Fraternity Excellence in Scholarship Award can noted as follows: (AW = AbC + aBc + ABc + ABC).
One group of 32 students studied algebraic expression in a CAI learning environment, while the other group of 30 students was in a CAI and ITS (CAI+ITS) environment.
The function describing this quantity can be a simple algebraic expression, any computable function of a group of parameters, or an FEA model of physical phenomena.
Table 1 A general algebraic expression for a hyperbola is y = (ax +b)/(sx+p) In our particular case, we are only interested in one quadrant of the hyperbola passing through the origin, in which case the equation may be simplified as y = 100 - at/(b+t) For such a small number of points as we have here, the constants may very simply be determined by trial, although the development of a least squares algorithm should not be insuperable.
Thumbing his nose at the theoretical and applied economic community, Cameron includes only one algebraic expression (for national income, p.
When substituting numbers for pronumerals in an algebraic expression, students are able to rely on their operational understanding to evaluate the expression.
2], ab can be translated into areas by composing the initial shape out of its component parts or, in other words, by modelling the algebraic expression geometrically.

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