What are rational numbers, what are irrational numbers, what are functions,

In the range of real numbers, can it be expressed as a fraction to distinguish between rational and irrational numbers? For example, the integer 3 can be expressed as 3 1, the fraction 3 4 (can also be expressed as a finite decimal), and the fraction 1 3 (can also be expressed as an infinite cyclic decimal number, in short, they can all be expressed as fractions, called rational numbers. However, the root number 2, pi, and the natural constant e, none of these numbers can be expressed as fractions (they are all infinite non-cyclic decimals), and they are called irrational numbers.

Rational numbers and irrational numbers are divided in the range of real numbers, and each can have positive and negative, such as 3 and -3 have rational numbers.

A function is a relationship that causes each element in one set to correspond to a unique element in another (possibly identical) set. When we are learning, we use the word "mapping" to help us understand the distinction, and you can look at the textbook.

The definition of function in junior high school textbooks is easy to understand, that is, in general, there are two variables xy, one of which changes with the change of the other variable x, and a value of x is given and there is a unique value of y corresponding to it. x is called the independent variable and y is called the dependent variable.

Infinite non-cyclic decimal numbers are irrational numbers, and functions are expressions with meaning

A rational number is that you can accurately count the number of digits of the number, an irrational number is something you can't count, and a function is an equation with an unknown number.

Numbers that make sense are reasonable.

1. Irrational numbers, also known as infinite non-cyclic decimals, cannot be written as ratios of two integers. If you write it as a decimal form, there are an infinite number of numbers after the decimal point and it does not circulate.

2. Rational numbers are a collective term for integers and fractions, and are a collection of integers and fractions.

An integer is a collection of positive integers, zeros, and negative integers. The whole structure of the empty regret integer is an integer set, and the integer set is a number ring. In the whole system of integers, zeros and positive integers are collectively referred to as natural numbers.

Integers and fractions are collectively known as rational numbers. An integer is a number like -3, -2, -1, 0, 1, 2, 3, 10, etc. The whole of an integer makes up an integer set, and an integer set is a ring of numbers.

In the integer system, zeros and positive integers are collectively referred to as natural numbers. -1、-2、-3、…、n、…(n is a non-zero natural number) is a negative integer. then positive integers, zeros, and negative integers form an integer system.

Integers do not include decimals and fractions. A fraction indicates that a number is a fraction of another number, or the ratio of one event to all events. The unit "1" is divided into several parts, and the number of such parts or parts is called a fraction.

The numerator is on top and the denominator is on the bottom. A rational number is a set of integers and fractions, and an integer can also be thought of as a fraction with a denominator of one. The decimal part of a rational number is a finite or infinitely looping number.

Real numbers that are not rational numbers are called irrational numbers, i.e., the fractional part of an irrational number is an infinite number that is not cyclical. 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. Expansion of the material on rational nouns: In fact, this is a translation error.

The term rational number came from the West, and in English it is rational number, and rational usually means "rational", so some scholars have translated it as "rational number". However, the word ** in ancient Greece, its root is ratio, which means "ratio, ratio". So the original meaning of the word is:

A number that can be written as a ratio of two integers. In contrast, an "irrational number" is a number that cannot be expressed as a ratio of two integers, and it is not unreasonable. Then, if we know that rational numbers are actually "numbers that can be written as the ratio of two integers", we will easily understand the concept of rational numbers.

Score 4;Integer is again a special fraction, such as =5 5.

1. Rational numbers are one of the important contents in the field of "number and algebra", which has a wide range of applications in real life, and is the basis for continuing to learn real numbers, algebraic formulas, divine model equations, inequalities, Cartesian coordinate systems, functions, statistics and other mathematical content, as well as related knowledge of hunger and letters. Mathematically, a rational number is the ratio of an integer a to a positive integer b, e.g. 3 8, and the general rule a is also a rational number.

2. Irrational numbers, also known as infinite non-cyclic decimals, cannot be written as the ratio of two integers. If you write it as a decimal number, there are an infinite number of numbers after the decimal point, and they do not cycle.

There are no irrational numbers in the world, just as there are no negative numbers. Originally, there was only a+b=c, and later, in order to find a, people invented an operation, that is, a=c-b. Originally, there were no negative numbers in the world, and since there was subtraction, some people began to subtract large numbers from small numbers, and there were negative numbers.

Integers and fractions are collectively referred to as rational numbers. Infinite non-cyclic decimal numbers are irrational numbers, for example, between two 7s, the latter one is a 6 than the previous one, infinite non-cyclic numbers, is an irrational number, there are more irrational numbers in nature than rational numbers, rational numbers are also called comparable numbers, and irrational numbers are not comparable.

Irrational numbers are wireless non-cyclic decimal numbers and the rest are rational numbers.