1. In mathematics, the 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.

2. In mathematics, the absolute value or the norm |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.

3. Algebraic significance of absolute value

4. The absolute value of non-negative numbers (positive numbers and 0) is itself, and the absolute value of non-positive numbers (negative numbers) is its inverse. The absolute value of real number A is always non-negative, and the absolute values of two numbers with opposite directions are equal.

5.( 1) The absolute value of any rational number is a number greater than or equal to 0, which is not negative.

6.(2) There is only one number whose absolute value is equal to 0, which is 0.

7.(3) There are two kinds of numbers whose absolute values are equal to the same positive number, and the two numbers are opposite or equal.

8.(4) The absolute values of two opposite numbers are equal.

9. The absolute value of a positive number is itself.

10, (6) The absolute value of a negative number is its inverse.

The absolute values of 1 1 and (7)0 are both 0.

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