About rational numbers concept, simple .

Rational number:

Infinite non-cyclic decimal numbers and inexhaustible numbers are called irrational numbers.

Integers and fractions are collectively known as rational numbers.

This includes integers and what is commonly referred to as a fraction, which can also be expressed as a finite decimal or an infinite loop decimal.

This definition applies to both decimal and other carry systems of numbers, such as binary.

Mathematically, a rational number is a ratio of an integer a to a non-zero integer b, usually written as a b, so it is also called a fraction. The Greek word "originally meant "rational number", but the Chinese translation was inappropriate and gradually became "reasonable number". Real numbers that are not rational numbers are called irrational numbers.

The set of all rational numbers is represented as q, and the decimal part of rational numbers is finite or circular.

Rational numbers are divided into integers and fractions.

Integers are further divided into positive integers, negative integers, and 0s

Scores are further divided into positive and negative scores.

Positive integers and 0s are also known as natural numbers.

For example, 3,,, 7, 22 are rational numbers.

Rational numbers can also be divided into positive rational numbers, negative rational numbers, and 0.

Not finite decimal infinitely cyclic decimal numbers are rational numbers.

Wireless doesn't loop decimal is not, for example

Classmates, isn't it? It is an infinite non-cyclic decimal, so it is an irrational number.

You're very studious! Be diligent and inquisitive, and continue to carry forward!

The concept of rational numbers is as follows:

Rational numbers are collectively referred to as integers (positive integers 0, negative integers) and fractions. Positive integers and positive fractions are collectively called positive rational numbers, and negative integers and negative fractions are collectively referred to as negative rational numbers. Therefore, the number of rational numbers in the set of rational numbers can be divided into positive rational numbers, negative rational numbers, and zeros.

1. Definition of rational numbers.

There are two classifications of rational numbers, which are positive rational numbers, including positive integers and positive fractions; Negative rational numbers, including negative integers and negative fractions.

1. Positive rational numbers refer to mathematical terms, except for negative numbers, 0, and irrational numbers, positive rational numbers can be accurately expressed as the ratio of two integers.

2. Negative rational numbers are numbers that are less than zero and can be expressed as decimals. e.g., -1、、、

3. Rational numbers are one of the important contents in the field of "number and algebra", which have a wide range of applications in real life, and are the basis for continuing to learn real numbers, algebraic formulas, equations, inequalities, Cartesian coordinate systems, functions, statistics and other mathematical content and related subject knowledge.

The set of rational numbers can be represented by the uppercase black orthography symbol q. But q does not denote a rational number, and a set of rational numbers and a rational number are two different concepts. A rational number set is a set of elements that are all rational numbers, while a rational number is a set of all the elements in a rational number set.

2. The origin of the name of rational numbers.

The name "rational number" is incomprehensible, and rational numbers are no more "reasonable" than other numbers. In fact, it seems to be a translation error. The term rational number came from the West and is rational number in English, and rational usually means "rational".

In modern times, China translated Western scientific works into "rational numbers" according to the Japanese translation method.