On the number axis, the distance from the point representing the number A to the origin is called the absolute value of A, which is denoted as |a |. On the number axis, the distance between the point representing the number A and the point representing the number B is called the absolute value of a-b, which is denoted as |a-b |.

On the number axis, the distance from the origin of a number is called the absolute value of the number. For example, it is the distance between the point represented on the exponential axis and the origin. This distance is 5, so the absolute value of is 5.

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

The absolute values of two opposite numbers are equal.

The absolute value of a is represented by |a |. It reads "the absolute value of a"

The absolute value of the real number a is always non-negative, that is, |a |≥0.

The absolute values of two mutually opposite numbers are equal, that is |-a|=|a|.

If a is a positive number, then x satisfying |x|=a has two values a, for example |x|=3, then x = 3.

The absolute value of a positive number is itself. The absolute value of a negative number is its reciprocal.

The absolute value of any rational number is non-negative, that is, the absolute value of any rational number is ≥0.

The absolute value of 0 is still 0.

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

|3|=3 =|-3|

When a≥0, | a | = a

When a<0, |a|=-a

Existence |a-b|=|b-a|

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

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

Answer:

2(X- 1)-3=0，2Y-8=0。

The solution is X=5/2 and Y=4.

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).

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