1, origin: a point on the number axis, usually expressed as 0, used to indicate zero or starting point. The origin is the center of the number axis.
2. Direction: The number axis has two directions, namely right and left. The direction to the right indicates a positive number, and the direction to the left indicates a negative number.
3. Unit length: each unit length on the number axis represents a specific real number unit, such as integer 1, decimal 0. 1, etc. The unit length can be adjusted as needed, but it is usually standardized to equal length.
Through these three elements, we can accurately represent various real numbers on the number axis, and carry out various mathematical operations and comparisons. Any point on the number axis corresponds to a real number, and the size of the real number can be determined by its position on the number axis. For example, a point represents a positive number on the right side of the origin and a negative number on the left side of the origin. At the same time, the unit length on the number axis can help us calculate the distance and difference between numbers.
Application of number axis in mathematics and real life
1, indicating the size of the numerical value: the number axis can be used to indicate the size relationship of the numerical value, which is convenient for the comparison of the numerical values. By plotting different values on the number axis, we can intuitively see their relative position and size relationship.
2. Digital operation: The number axis can help us to add, subtract, multiply and divide numbers. Draw the corresponding values on the number axis, and move the distance according to the operation rules, so you can directly observe the results of numerical operation.
3. Solving equations and inequalities: The number axis can be used to solve equations and inequalities. By marking the solution set of an equation or inequality on the number axis, the range and position of the solution of the equation or inequality can be obtained intuitively.
4. Measuring distance and displacement: The number axis can be used to measure the distance and displacement between objects. By drawing the starting point and ending point on the number axis, we can calculate the displacement of an object or measure the distance between two objects.
5. Representation of time and date: The number axis can be used to represent time and date. By drawing time or date on the number axis, we can intuitively express the passage of time and the order of events.
6. Statistics and data analysis: The number axis can be used for statistics and data analysis. By plotting data points on the number axis, we can analyze the distribution of data, calculate the central trend and observe abnormal values.
7. Representation of geometric figures: the number axis can be used to represent the coordinate position of geometric figures. For example, in a rectangular coordinate system, the number axis is used to represent the abscissa or ordinate of a point on a two-dimensional plane.