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Q: What is an algebraic definition of subtraction?

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Here is the correct defenition: Algebraic Expression is 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.

An algebraic function is any mathematical function which uses only the operations of addition, subtraction, multiplication, division, and raising to the power.

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It depends on your definition of whole numbers. The classic definition of whole numbers is the set of counting numbers and zero. In this case, the set of whole numbers is not closed under subtraction, because 3-6 = -3, and -3 is not a member of this set. However, if you use whole numbers as the set of all integers, then whole numbers would be closed under subtraction.

A radical integer is a number obtained by closing the integers under addition, multiplication, subtraction, and root extraction.

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Here is the correct defenition: Algebraic Expression is 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.

addition,subtraction,multiplication,division

definiton of addition and subtraction

Yes. That is the definition of an algebraic expression.

An algebraic function is any mathematical function which uses only the operations of addition, subtraction, multiplication, division, and raising to the power.

There cannot be a definition because it does not exist!

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an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,

substitution property transitive property subtraction property addition property

vf,chfd,fns,nfnfn,nfsnfs,mnfm,

algebraic inequality, is an inequality that contains at least one variable.

From Wikipedia: "In mathematics, an algebraic expression is an expression built up from constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)". So, the answer is yes - since any polynomial can be obtained by applying only a subset of these operations (additions, subtraction, multiplication).

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