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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{90}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{94}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85,5  ~ \(\times\)  ~ 100
\item   0,058  ~ \(\times\)  ~ 100
\item   66,5  ~ \(\times\)  ~ 10
\item   481  ~ \(\times\)  ~ 1 000
\item   96,3  ~ \(\times\)  ~ 10
\item   8,3  ~ \(\times\)  ~ 1 000
\item   0,552  ~ \(\times\)  ~ 1 000
\item   0,037  ~ \(\times\)  ~ 10
\item   420  ~ \(\times\)  ~ 10
\item   0,083  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,685  ~ : ~ 1 000
\item   16,65  ~ : ~ 1 000
\item   9 313  ~ : ~ 1 000
\item   82,02  ~ : ~ 10
\item   51,57  ~ : ~ 100
\item   8 407  ~ : ~ 10
\item   40,85  ~ : ~ 10
\item   0,571  ~ : ~ 1 000
\item   83,87  ~ : ~ 10
\item   868,1  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,69  ~ \(\times\)  ~ ... ~ = ~ 6 690
\item   4,71  ~ \(\times\)  ~ ... ~ = ~ 4 710
\item   354  ~ \(\times\)  ~ ... ~ = ~ 3 540
\item   968  ~ \(\times\)  ~ ... ~ = ~ 96 800
\item   0,908  ~ \(\times\)  ~ ... ~ = ~ 90,8
\item   0,963  ~ \(\times\)  ~ ... ~ = ~ 96,3
\item   6,03  ~ \(\times\)  ~ ... ~ = ~ 6 030
\item   90,7  ~ \(\times\)  ~ ... ~ = ~ 90 700
\item   19,8  ~ \(\times\)  ~ ... ~ = ~ 19 800
\item   0,3  ~ \(\times\)  ~ ... ~ = ~ 300
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   379,5  ~ \(\times\)  ~ 0,01
\item   6,16  ~ \(\times\)  ~ 0,001
\item   5,007  ~ \(\times\)  ~ 0,001
\item   63,64  ~ \(\times\)  ~ 0,001
\item   78,23  ~ \(\times\)  ~ 0,01
\item   858,6  ~ \(\times\)  ~ 0,001
\item   27  ~ \(\times\)  ~ 0,001
\item   5 356  ~ \(\times\)  ~ 0,001
\item   3 194  ~ \(\times\)  ~ 0,01
\item   9 313  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   91,58  ~ \(\times\)  ~ ... ~ = ~  0,915 8
\item   8 812  ~ \(\times\)  ~ ... ~ = ~  8,812
\item   7 354  ~ \(\times\)  ~ ... ~ = ~  735,4
\item   9,85  ~ \(\times\)  ~ ... ~ = ~  0,009 85
\item   62,11  ~ \(\times\)  ~ ... ~ = ~  0,621 1
\item   856,6  ~ \(\times\)  ~ ... ~ = ~  85,66
\item   6 485  ~ \(\times\)  ~ ... ~ = ~  6,485
\item   5 545  ~ \(\times\)  ~ ... ~ = ~  554,5
\item   6,777  ~ \(\times\)  ~ ... ~ = ~  0,677 7
\item   2,439  ~ \(\times\)  ~ ... ~ = ~  0,243 9
\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~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 823,6 ~g~ = ...~cg
\item   243,49 ~kL~ = ...~L
\item   565,59 ~cm~ = ...~km
\item   2 900,5 ~g~ = ...~mg
\item   206,91 ~mL~ = ...~L
\item   3 383,4 ~cg~ = ...~hg
\item   4 675,9 ~dag~ = ...~cg
\item   7 998,1 ~dm~ = ...~km
\item   578,54 ~km~ = ...~cm
\item   9 148,6 ~cm~ = ...~m
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{8900}{100}\) = \(\dfrac{890}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{90}{10}\) = \(\dfrac{900}{100}\)
\item   \(\dfrac{94}{100}\) = \(\dfrac{940}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 550}
\item   0,058  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,8}
\item   66,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 665}
\item   481  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 481 000}
\item   96,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 963}
\item   8,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 300}
\item   0,552  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 552}
\item   0,037  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,37}
\item   420  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 200}
\item   0,083  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 83}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,685 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 685}
\item   16,65 ~ : ~ 1 000 ~ = ~{\color{red} 0,016 65}
\item   9 313 ~ : ~ 1 000 ~ = ~{\color{red} 9,313}
\item   82,02 ~ : ~ 10 ~ = ~{\color{red} 8,202}
\item   51,57 ~ : ~ 100 ~ = ~{\color{red} 0,515 7}
\item   8 407 ~ : ~ 10 ~ = ~{\color{red} 840,7}
\item   40,85 ~ : ~ 10 ~ = ~{\color{red} 4,085}
\item   0,571 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 571}
\item   83,87 ~ : ~ 10 ~ = ~{\color{red} 8,387}
\item   868,1 ~ : ~ 100 ~ = ~{\color{red} 8,681}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,69 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 690
\item   4,71 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 710
\item   354 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 540
\item   968 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~96 800
\item   0,908 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~90,8
\item   0,963 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~96,3
\item   6,03 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 030
\item   90,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~90 700
\item   19,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~19 800
\item   0,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~300
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   379,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,795
}\item   6,16 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 16
}\item   5,007 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 007
}\item   63,64 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,063 64
}\item   78,23 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,782 3
}\item   858,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,858 6
}\item   27 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,027
}\item   5 356 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,356
}\item   3 194 ~ \(\times\)  0,01 ~ = ~{\color{red} 31,94
}\item   9 313 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,313
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   91,58 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,915 8
\item   8 812 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,812
\item   7 354 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 735,4
\item   9,85 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 85
\item   62,11 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,621 1
\item   856,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 85,66
\item   6 485 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,485
\item   5 545 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 554,5
\item   6,777 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,677 7
\item   2,439 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,243 9
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 823,6 ~g~ = {\color{red}  882 360 }~cg
\item   243,49 ~kL~ = {\color{red}  243 490 }~L
\item   565,59 ~cm~ = {\color{red}  0,005 655 9 }~km
\item   2 900,5 ~g~ = {\color{red}  2 900 500 }~mg
\item   206,91 ~mL~ = {\color{red}  0,206 91 }~L
\item   3 383,4 ~cg~ = {\color{red}  0,338 34 }~hg
\item   4 675,9 ~dag~ = {\color{red}  4 675 900 }~cg
\item   7 998,1 ~dm~ = {\color{red}  0,799 81 }~km
\item   578,54 ~km~ = {\color{red}  57 854 000 }~cm
\item   9 148,6 ~cm~ = {\color{red}  91,486 }~m
\end{itemize}
\end{multicols}
\end{document}
