Nine integers with absolute values less than 5 are 0, 1, 2, 3, 4.

Absolute value is the distance from a point corresponding to a number on the exponential axis to the origin, which is represented by "||". |b-a| or |a-b| represents the distance between the point representing a and the point representing b on the number axis.

In mathematics, the absolute value or the modulus | x | is non-negative, regardless of its sign, that is |x | = x means positive x, | x | = -x means negative x (in this case -x is positive), and | 0 | = 0. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be considered as the distance from zero.

The generalization of absolute value of real number appears in various mathematical settings, such as complex number, quaternion, ordered ring, field and vector space to define absolute value. Absolute value is closely related to concepts such as size, distance and norm in various mathematical and physical environments.

Geometric meaning:

On the number axis, the distance from the origin of a number is called the absolute value of the number. |a-b | represents the distance between the point representing a and the point representing b on the number axis.

Application: |5| The distance between 5 and the origin on the exponential axis. This distance is 5, so the absolute value of 5 is 5.

It is also the distance from -5 to the origin on the exponential axis. This distance is 5, so the absolute value of -5 is also 5.

|-3+2 | The distance between -3 and -2 points on the exponential axis. The value of this formula is 1. |3-2 | also indicates the distance between 3 and 2 points.