Individual items of mathematical knowledge points in People's Education Edition
An algebraic expression consisting of the product of numbers and letters is called a monomial. A single number or letter is also a monomial.
(2) The coefficient of a single item is a numerical factor of a single item. As a coefficient of a monomial, the number must be preceded by an attribute symbol. If the monomial is just a product of letters, it is not without coefficients.
(3) In a monomial, the index sum of all letters is called the number of times of the monomial.
Polynomials of Key Knowledge Points of Mathematics in the Second Volume of the Seventh Grade
The sum of several monomials is called polynomial. In polynomials, each monomial is called a polynomial term. Among them, items without letters are called constant items. In a polynomial, the degree of the term with the highest degree is called the degree of this polynomial.
(2) Both monomials and polynomials have degrees, monomials with letters have coefficients, and polynomials have no coefficients. Every term of a polynomial is a monomial, and the number of terms of a polynomial is the number of monomials with the polynomial as the addend. Each term in a polynomial has its own degree, but their degrees cannot all be regarded as the degree of this polynomial. Polynomials have only one degree, which is the highest degree of inclusion.
Summarize the knowledge points of mathematics in the second volume of the seventh grade, and summarize the division with the same base and power.
1. same base powers's division rule: same base powers divides, the base number is unchanged, and the exponent is subtracted, that is, (a≠0, m, n is a positive number, m >；; n)。
2. In application, the following points should be noted:
(1) The prerequisite for using the rule is "divisible by same base powers" and 0 is not divisible, so a≠0 is included in the rule.
② Any number that is not equal to 0, whose power of 0 is equal to 1, that is, if (-2.50= 1), then 00 is meaningless.
(3) The power of any number not equal to 0 is -p (p is a positive integer) which is equal to the reciprocal of the power of this number, that is, (a≠0, p is a positive integer), 0- 1, 0-3 is meaningless; When a>0, the value of a-p must be positive; When a<0, the value of a-p can be positive or negative, for example,
④ Pay attention to the operation sequence.
The above is my summary of the mathematics knowledge points in the second volume of the seventh grade of People's Education Press, which is for your reference only and I hope it will help you.