Absolute Values of a Number
If the number x is real, the absolute value satisfies the following condition:
| x | = x if x ≥ 0
| x | = – x if x ≤ 0
Let’s look at the absolute value of x on the number line below. Here |x| is the distance of x from 0 (zero). So both +x and -x are at a distance of x from the origin.
Since distance is not measured negatively, this counts as x.
Absolute Value of 0
0 is neither positive nor negative, so the absolute value of 0 is 0. Since the distance of the number 0 is 0 to 0, we can say that the absolute value of 0 is 0.
Absolute Value
Absolute Value for a number x is denoted by |x|, pronounced as “module x”. It is also referred to as numbers or magnitudes. Absolute values are only numeric values and do not include the sign of the numeric value.
Let’s learn about Absolute value in detail, including its symbol, properties, graph, and examples.
Table of Content
- What is Absolute Value?
- Absolute Values of a Number
- Absolute Value of 0
- Absolute Value Function
- Absolute Value Function Graphs
- Absolute Value of Complex Number
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