The symbol of real number is R, and real number is the floorboard of rational number and irrational number. 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, but they cannot be described as a whole by enumeration. Real and imaginary numbers * * * make up a complex number.

Real number classification

Real numbers can be divided into rational and irrational numbers, or algebraic and transcendental numbers. Real number sets are usually represented by the letter r in black orthographic characters. R stands for uncountable real numbers in N-dimensional real number space, which is the core research object of real number theory. All real number sets can be called real number system or real number continuum, and any complete Archimedes ordered domain can be called real number system.

In the sense of order-preserving isomorphism, it is the only commonly used R. Because R is an operation system that defines arithmetic operations, it is called the real number system. Real numbers can be used to measure continuous quantities. Theoretically, any real number can be expressed by an infinite decimal, and to the right of the decimal point is an infinite series. In practical applications, real numbers are usually approximated as finite decimals. In the computer field, because computers can only store a limited number of decimal places, real numbers are often represented by floating-point numbers.