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Classification and arrangement of numbers
The numbers are classified as follows:

There are two kinds of rational numbers, namely, positive rational numbers, including positive integers and positive fractions; Negative rational numbers, including the sum of negative integers and negative fractions.

1, positive rational number refers to a mathematical term. Except negative numbers, zeros and irrational numbers, a positive rational number can be accurately expressed as the ratio of two integers.

2. A negative rational number is a number less than zero, which can be expressed as a decimal. For example, -3. 123,-1 ...

3. Rational number is one of the important contents in the field of "number and algebra", which is widely used in real life and is the basis for continuing to learn real numbers, algebraic expressions, equations, inequalities, rectangular coordinate systems, functions, statistics and other mathematical contents and related disciplines.

Extension: irrational number

(1) Irrational number is also called infinite acyclic decimal, which cannot be written as the ratio of two integers. If written in decimal form, there are infinitely many digits after the decimal point, which will not cycle. Common irrational numbers include the square root, π and E (the latter two are transcendental numbers) of incomplete square numbers. Another feature of irrational numbers is the expression of infinite connected fractions.

(2) Irrational number refers to a number that cannot be expressed as the ratio of two integers within the real number range. To put it simply, irrational numbers are infinitely cyclic decimals based on 10, such as pi and √2. It is also an endless prescription.

(3) Irrational numbers and rational numbers * * * constitute real numbers, which are the floorboard of rational numbers and irrational numbers. Mathematically, real numbers are defined as the number of corresponding points on the number axis. Real numbers can be intuitively regarded as one-to-one correspondence between finite decimals and infinite decimals, and between real numbers and points on the number axis.