Definition of Real Absolute Value

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This definition is correct:

"let $A,B \in \mathbb{R}$, $B$ is absolute value of $A$, $B \triangleq|A|$, if $B=\begin{cases} A, & \mbox{if }A \geq0 \\ (-A), & \mbox{if }A \leq 0 \end{cases}$"

??

Thanks in advance!

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Yes, I think it is correct because absolute value just means the distance from the origin.