Does the 1. expression contain a denominator?
The denominator appears in the algebraic expression, so it is not an algebraic expression, but a fraction. So judging whether an expression is an algebraic expression depends on whether it contains a denominator. 5x is an algebraic expression, because it is also an algebraic expression without denominator 3x+2y, and ax/b is not an algebraic expression, because it contains denominator bax, which is not an algebraic expression, because it has exceeded 1 times without denominator.
2. The number of expressions
In mathematics, the degree of algebraic expression refers to the sum of the degrees of all monomials. For an algebraic expression, its frequency should be 0 or 1. An algebraic expression is not an algebraic expression if its degree is greater than 1. For example, 5x is an algebraic expression because its number is 1.
3x+2y is also an algebraic expression because its degree is 1. X 2 is a fraction because its degree is 2, and X 3+2x 2+3x is also a fraction because its degree is 3.
3. Expression coefficient
In mathematics, the coefficient of algebraic expression refers to the sum of the coefficients of all monomials. For an algebraic expression, its coefficient should be a number. An algebraic expression is not an algebraic expression if its coefficients are letters or other non-numeric symbols. For example, 5x is an algebraic expression because its coefficient is the number 5. Ax is a fraction because its coefficient is the letter a.
3x+2y is also an algebraic expression, because its coefficients are numbers 3 and 2, and x 2+2xy is a fraction, because its coefficients are letters x and y.
Definition, Form and Operation Rules of Algebraic Expressions
1, the definition and form of algebraic expression
Algebraic expression is a basic algebraic expression in mathematics, which is characterized by simple expression, including four basic operations: addition, subtraction, multiplication and division. The definition of algebraic expression can be summarized as follows: there is no division operation or the formula with integer divisor is called algebraic expression. 5x, 3x+2y are all formulas with letters in the divisor of algebraic expressions, not algebraic expressions. For example, ax/b is not an algebraic expression.
2. Operation rules of algebraic expressions.
The operations of algebraic expressions mainly include merging similar terms, addition, subtraction, multiplication and division. Merging similar items refers to merging items of the same type in polynomials into one item; Addition and subtraction refers to the addition and subtraction of other terms after merging similar terms in polynomials.
Multiplication and division means multiplying each term of one polynomial by each term of another polynomial, or dividing each term of one polynomial by each term of another polynomial.