How the totality of algebraic knowledge can be described 30

The basic content of elementary algebra is:

There are three types of numbers – rational numbers, irrational numbers, and complex numbers.

There are three types – whole, fractional, and radical.

The central content is equations – integral equations, fractional equations, radical equations, and systems of equations.

The content of elementary algebra is roughly equivalent to that of algebra courses in modern secondary schools, but it is not identical. For example, strictly speaking, the concept, permutation, and combination of numbers should be subsumed under the content of arithmetic; Functions are the content of analytic mathematics; The solution of inequality is a bit like the method of solving equations, but inequalities, as a method of estimating numerical values, essentially fall within the scope of analytical mathematics; The coordinate method is a ...... for the study of analytic geometry. These are just a form of orchestration that has been developed historically.

Elementary algebra is the continuation and extension of arithmetic, and the object of elementary algebra research is the operation of algebraic formulas and the solution of equations. Algebraic operations are characterized by performing only a finite number of operations. There are ten rules for all elementary algebra combined.

This is a key point to understand and master to learn elementary algebra.

The ten rules are:

Five basic arithmetic laws: commutative law of addition, combinative law of addition, commutative law of multiplication, associative law of combination, and distributive law;

Three exponential laws: multiply with the power of the base, add the invariant index of the base; The power of the exponent is equal to the base invariant exponent that you want to multiply; The product of the product is equal to the product of the product.

Elementary algebra has further developed in two aspects: on the one hand, it is the study of systems of equations with more unknowns; On the other hand, it is necessary to study higher-order equations with a higher number of unknowns. At this time, algebra had developed from elementary algebra to advanced algebra. Where is the root number of the mathematical formula [ url

Algebraic formulas are very wide, mainly divided into "integer, fraction, quadratic radical, and other classes", in which the integer is a junior high school college, let's talk about it in detail, the whole formula is divided into two categories: 1 monomial 2 polynomial mononomial refers to only multiplication and division, no addition and subtraction For example, the quadratic of 2a 2 is the coefficient (refers to the number in the monomial) The quadratic is the number of times (refers to the power of the monomial) There are also polynomials The number of polynomial attention terms For example, 4xy+5s+3z, the number of times is 2 times (take the maximum number xy, each is a quadratic quadratic and add it to the second quadratic) The number of terms is three (composed of three mononomials). 4xy 5s 3z respectively with a minus sign as a minus sign ) That's it, everyone.

The characteristic of this kind of problem is that when x changes, the term with x changes, and you see the term with x as a whole, like this.

Let ax 3+bx=z

It's easy to solve. y=z+3 z=-10

When x=-3, y=-z+3=13

List two formulas: -7 = 27 * a + 3 * b + 3

t=-27a-3b+3

Add the two formulas: t-7 = 6

t=13

A positive number is greater than everything (a negative number).

Negative numbers are less than everything (positive).

Of the two positive numbers, the absolute value is greater (larger).

Of the two negative numbers, the number with the lower absolute value is (larger).

Negative numbers, positive numbers, are bigger, but bigger.