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\begin{document}

\begin{center}
    \small Fractions décimales, multiplication/division par 10, 100, 1 000, conversions d'unités.
\end{center}
\vspace{0.5em}
\sloppy

\needspace{5\baselineskip}
\section*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{96}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 2 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   0,155  ~ \(\times\)  ~ 10
\item   0,392  ~ \(\times\)  ~ 100
\item   0,667  ~ \(\times\)  ~ 1 000
\item   0,089  ~ \(\times\)  ~ 10
\item   580  ~ \(\times\)  ~ 1 000
\item   64,8  ~ \(\times\)  ~ 100
\item   38,5  ~ \(\times\)  ~ 100
\item   93,6  ~ \(\times\)  ~ 10
\item   59,9  ~ \(\times\)  ~ 10
\item   5,34  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 3 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   6 730  ~ : ~ 10
\item   109,6  ~ : ~ 10
\item   7,044  ~ : ~ 10
\item   703,4  ~ : ~ 1 000
\item   522,1  ~ : ~ 1 000
\item   94,2  ~ : ~ 1 000
\item   1,47  ~ : ~ 1 000
\item   6,963  ~ : ~ 100
\item   6 401  ~ : ~ 1 000
\item   145,5  ~ : ~ 1 000
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 4 : Complète par 10, 100, 1000... :}

\begin{multicols}{2}
\begin{itemize}
\item   2,76  ~ \(\times\)  ~ ... ~ = ~ 276
\item   0,895  ~ \(\times\)  ~ ... ~ = ~ 895
\item   326  ~ \(\times\)  ~ ... ~ = ~ 32 600
\item   2,49  ~ \(\times\)  ~ ... ~ = ~ 249
\item   0,039  ~ \(\times\)  ~ ... ~ = ~ 39
\item   0,084  ~ \(\times\)  ~ ... ~ = ~ 0,84
\item   0,037  ~ \(\times\)  ~ ... ~ = ~ 3,7
\item   0,004  ~ \(\times\)  ~ ... ~ = ~ 0,04
\item   0,236  ~ \(\times\)  ~ ... ~ = ~ 2,36
\item   40,6  ~ \(\times\)  ~ ... ~ = ~ 40 600
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 5 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   178,2  ~ \(\times\)  ~ 0,1
\item   13,78  ~ \(\times\)  ~ 0,1
\item   72,03  ~ \(\times\)  ~ 0,01
\item   5 740  ~ \(\times\)  ~ 0,001
\item   76,25  ~ \(\times\)  ~ 0,1
\item   56,65  ~ \(\times\)  ~ 0,01
\item   7,904  ~ \(\times\)  ~ 0,1
\item   2,846  ~ \(\times\)  ~ 0,001
\item   606,7  ~ \(\times\)  ~ 0,1
\item   3 703  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 6 : Complète par 0,1 ~ 0,01 ~  0,001 ... }

\begin{multicols}{2}
\begin{itemize}
\item   570  ~ \(\times\)  ~ ... ~ = ~  57
\item   242  ~ \(\times\)  ~ ... ~ = ~  24,2
\item   20,02  ~ \(\times\)  ~ ... ~ = ~  0,020 02
\item   835,1  ~ \(\times\)  ~ ... ~ = ~  83,51
\item   53,84  ~ \(\times\)  ~ ... ~ = ~  0,053 84
\item   203,6  ~ \(\times\)  ~ ... ~ = ~  0,203 6
\item   8,329  ~ \(\times\)  ~ ... ~ = ~  0,083 29
\item   58,96  ~ \(\times\)  ~ ... ~ = ~  0,058 96
\item   738,9  ~ \(\times\)  ~ ... ~ = ~  7,389
\item   4 874  ~ \(\times\)  ~ ... ~ = ~  48,74
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 7 : Complète par 10,100 1 000... ou une fraction décimale : }

\begin{multicols}{2}
\begin{itemize}
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~dm
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\section*{Exercice 8 : Complète : }

\begin{multicols}{2}
\begin{itemize}
\item   942,19 ~cm~ = ...~hm
\item   527,56 ~daL~ = ...~L
\item   625,9 ~dm~ = ...~cm
\item   2 043,9 ~cL~ = ...~hL
\item   880,36 ~dL~ = ...~kL
\item   171,28 ~km~ = ...~hm
\item   1 335,3 ~kg~ = ...~cg
\item   944,13 ~dm~ = ...~mm
\item   6 989 ~dm~ = ...~dam
\item   297,03 ~cL~ = ...~mL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

\needspace{5\baselineskip}
\subsection*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   8 = \(\dfrac{80}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{9500}{100}\) = \(\dfrac{950}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{96}{10}\) = \(\dfrac{960}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{550}{1\,000}\)
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 2 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   0,155  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,55}
\item   0,392  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 39,2}
\item   0,667  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 667}
\item   0,089  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,89}
\item   580  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 580 000}
\item   64,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 480}
\item   38,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 850}
\item   93,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 936}
\item   59,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 599}
\item   5,34  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 340}
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 3 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   6 730 ~ : ~ 10 ~ = ~{\color{red} 673}
\item   109,6 ~ : ~ 10 ~ = ~{\color{red} 10,96}
\item   7,044 ~ : ~ 10 ~ = ~{\color{red} 0,704 4}
\item   703,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,703 4}
\item   522,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,522 1}
\item   94,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,094 2}
\item   1,47 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 47}
\item   6,963 ~ : ~ 100 ~ = ~{\color{red} 0,069 63}
\item   6 401 ~ : ~ 1 000 ~ = ~{\color{red} 6,401}
\item   145,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,145 5}
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 4 : Complète par 10, 100, 1000... :}

\begin{multicols}{2}
\begin{itemize}
\item   2,76 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~276
\item   0,895 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~895
\item   326 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~32 600
\item   2,49 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~249
\item   0,039 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~39
\item   0,084 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,84
\item   0,037 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,7
\item   0,004 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,04
\item   0,236 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,36
\item   40,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~40 600
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 5 : Calcule mentalement :}

\begin{multicols}{2}
\begin{itemize}
\item   178,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 17,82
}\item   13,78 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,378
}\item   72,03 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,720 3
}\item   5 740 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,74
}\item   76,25 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,625
}\item   56,65 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,566 5
}\item   7,904 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,790 4
}\item   2,846 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 846
}\item   606,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 60,67
}\item   3 703 ~ \(\times\)  0,01 ~ = ~{\color{red} 37,03
}\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 6 : Complète par 0,1 ~ 0,01 ~  0,001 ... }

\begin{multicols}{2}
\begin{itemize}
\item   570 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 57
\item   242 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 24,2
\item   20,02 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,020 02
\item   835,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 83,51
\item   53,84 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,053 84
\item   203,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,203 6
\item   8,329 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,083 29
\item   58,96 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,058 96
\item   738,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,389
\item   4 874 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 48,74
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 7 : Complète par 10,100 1 000... ou une fraction décimale : }

\begin{multicols}{2}
\begin{itemize}
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\end{itemize}
\end{multicols}

\needspace{5\baselineskip}
\subsection*{Exercice 8 : Complète : }

\begin{multicols}{2}
\begin{itemize}
\item   942,19 ~cm~ = {\color{red}  0,094 219 }~hm
\item   527,56 ~daL~ = {\color{red}  5 275,6 }~L
\item   625,9 ~dm~ = {\color{red}  6 259 }~cm
\item   2 043,9 ~cL~ = {\color{red}  0,204 39 }~hL
\item   880,36 ~dL~ = {\color{red}  0,088 036 }~kL
\item   171,28 ~km~ = {\color{red}  1 712,8 }~hm
\item   1 335,3 ~kg~ = {\color{red}  133 530 000 }~cg
\item   944,13 ~dm~ = {\color{red}  94 413 }~mm
\item   6 989 ~dm~ = {\color{red}  69,89 }~dam
\item   297,03 ~cL~ = {\color{red}  2 970,3 }~mL
\end{itemize}
\end{multicols}
\end{document}
