Abs (Real) (WMA link)
RealAbs
RealAbs is also known as modulus. It is evaluated if x can be compared with $0$.
RealAbs[-3.]
RealAbs[z] is left unevaluated for complex z:
RealAbs[z]
RealAbs[2. + 3. I]
D[RealAbs[x ^ 2], x]