An sich kann man es so machen:
    \pgfmathfloatparsenumber{123.52}
    \pgfmathfloattomacro{\pgfmathresult}{\F}{\M}{\E}
    Flag: \F; Mantissa \M; Exponent \E
    $\to$ \pgfmathfloattofixed{\pgfmathresult}  \pgfmathresult
wobei `Flag` die Bedeutung hat:
[![alt text][1]][2]
Das Kommando 
    \newcommand\foo[1]{
    \pgfmathfloatparsenumber{#1}
    \pgfmathfloattomacro{\pgfmathresult}{\F}{\M}{\E}
    \pgfmathparse{\F==0 ? "$#1$ is zero" : (
    \F==1 ? "$#1$ is positive" : (
    \F==2 ? "$#1$ is negative" : (
    \F==3 ? "$#1$ is a string (NaN)" : (
    \F==4 ? "$\infty$" : (
    \F==5 ? "$\infty$" "$-\infty$" : ("I do not know"
    ))))))}\pgfmathresult}
liefert dann
[![alt text][3]][4]
    \documentclass[border=3mm, varwidth]{standalone}
    \usepackage{tikz, amsmath}
    \usepgflibrary{fpu}
    
    % Das braucht man scheints:
    \pgfkeys{/pgf/fpu/handlers/invalid number/.code={%
      \pgfmathfloatparsenumber{3Y0.0e0]}%
      }
    }
    
    \begin{document}
    $\begin{array}{c | c}
    \text{Flag} & \text{Meaning} \\ \hline
    0     &  0                       \\
    1     &  \text{positive}    \\
    2     &  \text{negative}    \\
    3     &  \text{NaN}          \\
    4     &  \infty                  \\
    5     &  -\infty                 \\
    \end{array}$
    
    %Beispiel:
    %\pgfmathfloatparsenumber{123.52}
    %\pgfmathfloattomacro{\pgfmathresult}{\F}{\M}{\E}
    %Flag: \F; Mantissa \M; Exponent \E
    %$\to$ \pgfmathfloattofixed{\pgfmathresult}  \pgfmathresult
    
    
    \newcommand\foo[1]{
    \pgfmathfloatparsenumber{#1}
    \pgfmathfloattomacro{\pgfmathresult}{\F}{\M}{\E}
    \pgfmathparse{\F==0 ? "$#1$ is zero" : (
    \F==1 ? "$#1$ is positive" : (
    \F==2 ? "$#1$ is negative" : (
    \F==3 ? "$#1$ is a string (NaN)" : (
    \F==4 ? "$\infty$" : (
    \F==5 ? "$\infty$" "$-\infty$" : ("I do not know"
    ))))))}\pgfmathresult}
    
    \foreach \Test in {1,-1,0,1.23,a,sin(30)}{\foo{\Test} \\}
    
    Aber: % \foo{\frac32}  % error
    \end{document}
[![alt text][5]][5]
  [1]: https://texwelt.de/wissen/upfiles/1_21.png
  [2]: https://texwelt.de/wissen/upfiles/1_21.png
  [3]: https://texwelt.de/wissen/upfiles/2_15.png
  [4]: https://texwelt.de/wissen/upfiles/2_15.png
  [5]: https://texwelt.de/wissen/upfiles/55555555_252.png