1, starting from o, if it is a positive irrational number, it is the integer point closest to the irrational number in the positive direction. The vertical section of the number axis takes the value on the vertical section, and the value is calculated according to Pythagorean theorem.

2. If you can't do it once, then use the asymptotic method and take one unit length at a time until the corresponding irrational number is calculated according to Pythagorean theorem.

3. Make an arc with O as the center and the length of the hypotenuse of the last right triangle as the radius. The point on the intersecting axis is the point corresponding to the irrational number.

4. In fact, no matter whether the irrational number is positive or negative, it can be plotted in the positive direction of the number axis. Positive and negative only indicate whether the point is in the positive or negative direction.

In mathematics, irrational numbers are all real numbers of irrational numbers, which are numbers composed of the ratio (or fraction) of integers. When the length of two line segments is irrational, the line segments are also described as incomparable, that is, they cannot be "measured", that is, they have no length ("measured").

Common irrational numbers are: the ratio of circumference to diameter, Euler number e, golden ratio φ and so on. It can be seen that the representation of irrational numbers in the positional number system (for example, in decimal numbers or any other natural basis) will not be terminated or repeated, that is, it does not contain subsequences of numbers.

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 cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.