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There are many possible operations. The basic ones are addition, subtraction, multiplication and division. To that you can add reciprocals, exponentiation, logarithms, trigonometric, hyperbolic. In fact, you can define your own operations. For example a ~ b = 3a - 2b2 is an operation.
The set of rational numbers is closed under all 4 basic operations.
The four math operations are:•Addition - is a mathematical operation that represents combining collections ofobjects together into a larger collection. It is signified by the plus sign( + ).•Subtraction - is one of the four basic arithmetic operations; it is the inverse ofaddition, meaning that if we start with any number and add anynumber and then subtract the same number we added, we returnto the number we started with. Subtraction is denoted by a minussign ( - ).•Multiplication - is the mathematical operation of scaling one number by another.It is one of the four basic operations in elementary arithmetic.•Division - In mathematics, especially in elementary arithmetic, is the arithmeticoperation that is the inverse of multiplication and is denoted by an( x ).
Here are the basic differences:elementary algebra:- Domain is the real numbers- Uses the operations of addition, subtraction, and multiplication- Uses the laws of associativity, commutativity, and distributivityBoolean algebra:- Domain is only two numbers- Uses the operations of conjunction, disjunction, and negation (AND, OR, NOT)- Uses the laws of associativity, commutativity, distributivity, absorption, and complements
Division of one polynomial by another one.