Geometric meaning: On the number axis, the distance from the origin of a number is called the absolute value of the number. For example, the distance from the point on the exponential axis to the origin is 5, so the absolute value is 5, and the distance from the point on the exponential axis to the origin is 1.5, which is 1.5.

Algebraic significance: the absolute value of a positive number is itself, the absolute value of a negative number is its inverse, and the absolute value of 0 is 0.

The absolute values of two opposite numbers are equal.

The absolute value is represented by |a |. It is pronounced as the absolute value of a.

For example, |-2 | is read as the absolute value of -2.

The absolute value of a positive number is itself, the absolute value of a negative number is its opposite number, and the absolute value is non-negative number ≥0.

The absolute value of a special zero is both his own and his opposite number.

|3|=3 |-3|=3

Comparing the sizes of two negative numbers, the absolute value is larger but smaller.

For example, if | 2 (x- 1)-3+| 2y-4) | = 0, then x = _ _ _, and y = _ _ _. (| is the absolute value).

Answer:

2(X- 1)-3=0

X=5/2

2Y-4=0

Y=2

The absolute values of a pair of opposites are equal;

The absolute value of +2 is equal to the absolute value of -2 (because their unit lengths from the origin are equal on the number axis).

Geometric meaning and algebraic meaning of absolute value;

Geometric definition: the distance between the point representing the number A on the number axis and the origin is called the absolute value of the number A. (The distance between the point representing the number A on the number axis and the origin must be non-negative. )

Algebraic definition: | a | = {a>0 a=a

{a0 or =0, and |x-y|=y-x, so x