4b2a09efb1
add text "The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars)."
46 lines
1.3 KiB
Markdown
46 lines
1.3 KiB
Markdown
---
|
|
title: Absolute Value
|
|
---
|
|
## Absolute Value
|
|
|
|
Absolute value is the non-negative value of a number.
|
|
You can think of a number's absolute value as its distance from zero.
|
|
It can be defined as,
|
|
|
|
|
|
|
|
<img src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Absolute_value.svg/2000px-Absolute_value.svg.png" width="300">
|
|
|
|
The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars).
|
|
Here you can see that in the graph of y = |x|, if -2 is input in to the function, 2 is the result. This is because -2 has a distance of 2 from zero. The absolute value of a number can never be negative.
|
|
|
|
### Examples
|
|
|
|
* **Simplify |-5|**
|
|
|
|
|-5| = 5
|
|
|
|
* **Simplify |0(5)|**
|
|
|
|
|0(5)| = |0| = 0
|
|
|
|
* **Simplify -|-1|**
|
|
|
|
-|-1| = -(1) = -1
|
|
|
|
* **Simplify |-5(-3) + 1|**
|
|
|
|
|-5(-3) + 1| = |15 + 1| = |16| = 16
|
|
|
|
* **Simplify |8|**
|
|
|
|
|8| = 8
|
|
|
|
* **Simplify |(-5)^3|**
|
|
|-125| = 125
|
|
|
|
#### More Information:
|
|
<a href='http://www.purplemath.com/modules/absolute.htm "Absolute Value"' target='_blank' rel='nofollow'>Absolute Value</a>
|
|
|
|
|