Rational number and irrational number are two basic concepts in mathematics. Rational numbers refer to those numbers that can be expressed as the quotient (or sum of integers) of two integers. For example, 3, 2/3, 4/5 and so on are rational numbers. Integer can also be regarded as a special rational number, that is, its fractional form is 1. All rational numbers can be expressed as a combination of an integer and a true fraction.
Irrational numbers refer to those numbers that cannot be represented by the quotient of two integers (or the sum of integers). For example, π, √2, e and so on are irrational numbers. These numbers can't be expressed in fractions, because their values are infinitely cyclic. For example, π is an irrational number because its fractional part is infinitely cyclic.
Although irrational numbers are very important in mathematics, rational numbers are more practical in real life. For example, rational numbers can represent fractions, but rational numbers can't. Rational numbers can also represent proportions and percentages, and so on. In addition, addition, subtraction, multiplication and division of rational numbers can be calculated effectively, while the operation of rational numbers is more complicated.
Advantages of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.
It is used everywhere in life. Nowadays, the society is an information society, and mathematical knowledge is used in financial management and computers. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning. Mathematics can be used to cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.