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MAIN Absolute Value Geometrically, Algebraically and Technologically ABSOLUTE VALUE IS A DISTANCE AND A DISTANCE IS ALWAYS POSITIVE! Using the number line below, find the distances for problems 1
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How to fill out absolute value geometrically algebraically

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How to fill out absolute value geometrically algebraically:

Geometrically:

01
Start by understanding that the absolute value of a number represents its distance from zero on the number line. So, when filling out the absolute value geometrically, you need to visualize the number line.
02
Identify the number you want to find the absolute value of.
03
If the number is positive, the absolute value is equal to the distance from zero to that number on the number line.
04
If the number is negative, the absolute value is also equal to the distance from zero to that number, but in this case, in the opposite direction (to the left on the number line).
05
Measure the distance on the number line and that will be the geometric representation of the absolute value.

Algebraically:

01
To fill out the absolute value algebraically, you need to use the absolute value function or notation, which is represented by two vertical lines (| |).
02
Write down the number for which you want to find the absolute value.
03
If the number is positive or zero, then the absolute value remains the same.
04
If the number is negative, you need to change the sign of the number to make it positive. This can be done by simply adding a negative sign (-) in front of the number.
05
Express the absolute value by enclosing the number in the absolute value notation.

Who needs absolute value geometrically algebraically?

01
Students learning about number sense in mathematics.
02
Mathematicians working with equations and expressions involving absolute value.
03
Engineers and scientists dealing with measurements and distances.
04
Individuals analyzing data sets and looking for the magnitude of differences between values.
05
Architects and designers calculating dimensions and distances in their work.
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Absolute value geometrically is the distance of a number from zero on a number line. Algebraically, it is represented as the positive value of a number, regardless of its sign.
Anyone working with mathematical equations or expressions may need to understand and work with absolute value geometrically algebraically.
To fill out absolute value geometrically algebraically, you need to identify the number or expression, evaluate its distance from zero, and express the result as a positive value.
The purpose of absolute value geometrically algebraically is to simplify mathematical calculations by ensuring that all values are positive and accurate.
The information reported on absolute value geometrically algebraically includes the number or expression being evaluated, the distance from zero, and the positive value result.
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