How is the absolute value expressed? What is an absolute value and how can it be represented?

Definition. On the number line, the distance from the point to the origin of a number is called the absolute value of the number, and the absolute value is called " |to represent. On the number line, the value that represents the distance between a point of number a and the point of number b, read as the absolute value of a-b, is denoted as |a-b|。

The meaning of geometry.

On the number line, the distance from a number to the origin is called the absolute value of the number For example, 5 refers to the distance between the point of the number 5 and the origin on the number line, and this distance is 5, so the absolute value of 5 is 5.

The meaning of algebra.

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

The absolute value of a is given by "|".a |" means read as "the absolute value of a".

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

The absolute values of two numbers that are opposite to each other are equal, i.e., |-a|=|a|(because they are at equal distances from the origin on the number axis).

If a is positive, then the |x|x of =a has two values a, such as |x|=3, then a= 3

An example of an application in this paragraph.

The absolute value of 0 is both his own and his opposite, written |0|=0。

When a 0, |a|=a

When a 0, |a|=-a

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

The two negative numbers are compared to the size, and the absolute value is larger than the smaller.

For example: if |2(x-1)-3|+|2(y-4)|=0, then x= y=

Answer: 2(x-1)-3=0 and 2y-8=0, because the number in the parentheses is multiplied by two (|.)2(y-4)|）

The solution yields x=5 2 and y=4.

Add the number you want to fill in between the two bars.

Absolute value. Use refers to the distance from the corresponding point of a number on the number axis to the origin, with "|".to represent. b-a|or |a-b|Represents the distance between a point representing a and a point representing b on the number line. The absolute value of a number can be considered as the distance from zero. [1]

The absolute value of a positive or zero number is itself, and the absolute value of a negative number is its opposite.

The generalization of the absolute value of real numbers occurs in a wide variety of mathematical settings, such as complex numbers, quaternions.

Ordered rings, fields, and vector spaces define absolute values. Absolute values are related to sizes, distances, and norms in a variety of mathematical and physical environments.

The concept is closely related.

On the number line, the representation isThe distance from a number to the origin is called the absolute value of the number

The absolute value is a number, whether it is a positive number or a negative number, its absolute value is positive, except for zero, of course, the absolute value of zero is zero.

The absolute value is greater than or equal to 0。For example, the absolute value of 3 is 3; The absolute value of -3 is 3; The absolute value of 0 is 0.

To put it simply, Chang Ran stares at a positive number, and the absolute value is itself; For a negative number, the absolute value is its opposite; The absolute value of 0 is its resistance itself

On the number line, the distance from the point to the origin of a number is called the absolute value of the number. Absolute values are marked with "||".To the table slip group modeling. On the number line, the value that represents the distance between a point of number a and the point of number b is called the absolute value of a-b and is denoted as |a-b|。

On the number line, the distance from a number to the origin is called the absolute value of the number For example, 5 refers to the distance between the point and the origin of the number 5 on the number line, and this distance is 5, so the absolute value of 5 is 5.

The absolute value of a non-negative number (positive number and 0,) is itself, and the absolute value of a non-positive number is its opposite. The absolute values of two numbers that are opposite to each other are equal. The absolute value of a is given by "|".a |" means read as "the absolute value of a".

The absolute value of the real number a is always a non-negative number, i.e. |a |≥0。The absolute values of two numbers that are opposite to each other are equal, i.e., |-a|=|a|。If a is positive, then the |x|x of =a has two values a, such as |x|=3, then x= 3

Absolute value symbol x-2|Expressing the absolute value of the difference between x and 2, the method is as follows:

When x 2, the difference between x and 2 is positive or zero, so the expression after removing the absolute sign is x-2.

When x < 2, the difference between x and 2 is negative, and the expression after removing the absolute sign is (x-2), i.e., 2-x.

In both cases, you can write the expression after removing the absolute value sign as: x-2, if x2;2-x, if x<2. The absolute value symbol represents the absolute value of a number, i.e., the distance from 0.

For x-2|, we consider the relationship between x and 2 to cancel the absolute value symbol.

Remove the absolute value symbol x-2|The result is a piecewise function that depends on the magnitude of x versus 2. When x2, the result is x-2; When x<2, the result is 2-x. This segmentation definition allows us to describe the relationship between numbers more precisely, providing effective mathematical modeling and problem solving.

The nature of absolute values

1. The absolute value of any rational number is greater than or equal to 0, which is the non-negativity of the absolute value.

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

3. There are two kinds of numbers whose absolute value is equal to the same positive number, and these two numbers are opposite to each other or equal.

4. The absolute values of two numbers that are opposite to each other are equal.

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

6. The absolute value of a negative number is its opposite.

The absolute value of is 0.

The above content refers to Encyclopedia - Absolute Value.

The absolute value refers to the distance from the corresponding point of a number on the coordinate axis to the original land point, which is called the absolute value of this number.

The absolute value refers to the distance from the point to the origin of a number on the coordinate axis, which is called the absolute value of this number, and the absolute value is used" |to represent. b-a|or |a-b|Represents the distance between a point representing a and a point representing b on the coordinate axis.

On the number line, the distance from the point representing the number a to the origin is called the absolute value of the number a, and the absolute value is called " |a|(a is the original number). On the side axis of the number book, the distance between a point of number a and the point of number b is called the absolute value of a-b, which is denoted as |a-b|。For example:

5|Refers to the distance between the point representing the number 5 and the origin on the number line, this distance is 5, so the absolute value of 5 is 5. Again, |-5|Refers to the distance between the point representing the number -5 and the origin on the number line, this distance is 5, so the absolute value of -5 is also 5.

The absolute value refers to the distance from a point to the origin on the number line, which is called the absolute value of the number.

The absolute value is a number, whether it is positive or negative, its absolute value is positive, except of course zero, the absolute value of zero is zero.

The absolute value refers to the distance from the corresponding point of a number on the number line to the origin, which is represented by "丨丨".

The absolute value of the sign is greater than or equal to 0

The absolute value symbol has positive and negative numbers in it, 0