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What does a real number contain
Question 1: What positive integers does a real number include: 1, 2, 3, 4, …; Negative integers:-1, -2, -3, -4, …; Zero: 0; Collectively referred to as integers.

A number in the form of m/n is called a fraction, where m and n are integers and n≠0.

Integers and fractions are collectively called rational numbers. The decimal of infinite cycle is called irrational number.

Rational numbers and irrational numbers are collectively called real numbers.

A number in the form of x+iy is called an imaginary number, where x and y are real numbers and i=√(- 1) is called an imaginary unit.

Real numbers and imaginary numbers are collectively called complex numbers.

Question 2: What numbers are included in the real number set? For example, it is generally believed that * * *, which usually includes all rational numbers and irrational numbers, is a set of real numbers, usually represented by the capital letter R.

18th century, calculus was developed on the basis of real numbers. But the real number set at that time was not precisely defined. It was not until 187 1 that German mathematician Cantor put forward the strict definition of real numbers for the first time.

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Question 4: What does a real number include? Does decimal count? ? Real numbers include rational numbers and irrational numbers. Among them, irrational number is infinite acyclic decimal, and rational number includes integer and fraction. Mathematically, real numbers are intuitively defined as numbers corresponding to points on the number axis. Originally, real numbers were just numbers, but later the concept of imaginary numbers was introduced. The original number is called "real number"-it means "real number" (any real number can be represented on the number axis). Mathematically, real numbers are intuitively defined as numbers corresponding to points on the number axis. Originally, real numbers were just numbers, but later the concept of imaginary numbers was introduced. The original numbers were called "real numbers"-meaning "real numbers". Real numbers can be divided into rational numbers and irrational numbers (such as π, √2), algebraic numbers and transcendental numbers, or positive numbers, negative numbers and zero. The real number * * * is usually represented by the letter "r". Rn stands for n-dimensional real number space Real numbers are uncountable. Real number is the core research object of real analysis.