Absolute value is to set a number and calculate the distance from its position to the origin, that is, on a straight line |b-a| represents the distance of point A, while |a-b| represents the distance of point B. In the numerical concept, if |x| represents a value and is not negative, regardless of its sign, |x| =x is positive x, |x| = negative x is negative x.
For another example, the absolute value of 4 is 4 and the absolute value of -4 is 4; The absolute value of 5 is 5, and the absolute value of -5 is also 5, that is, the absolute value of a positive number or 0 is itself and does not need to cover any changes, while the absolute value of a negative number needs to be calculated. The absolute value of a number can also be understood as the distance between a number and zero. The absolute value of real numbers is widely used in various fields of mathematics, physics and chemistry, and the distance of absolute values is closely related to many physical or mathematical and chemical concepts.
The significance of absolute value in mathematics;
Absolute value can help people have a deeper understanding of the number axis. For some complex absolute value problems, it may be cumbersome to study with ordinary calculation methods, but it will be faster and more convenient to calculate with absolute values. Absolute value is an important learning content in junior high school mathematics. In the process of learning algebra, the concept of absolute value is basically inseparable. The appearance of the concept of absolute value has brought some changes to the mathematical environment, which has very profound mathematical and physical significance in algebra and geometry.