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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{64}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{85}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,059  ~ \(\times\)  ~ 1 000
\item   8,68  ~ \(\times\)  ~ 100
\item   91,6  ~ \(\times\)  ~ 1 000
\item   5,34  ~ \(\times\)  ~ 1 000
\item   62  ~ \(\times\)  ~ 10
\item   86,4  ~ \(\times\)  ~ 100
\item   0,088  ~ \(\times\)  ~ 1 000
\item   0,84  ~ \(\times\)  ~ 10
\item   8,72  ~ \(\times\)  ~ 1 000
\item   8,67  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,98  ~ : ~ 1 000
\item   826,5  ~ : ~ 10
\item   942,6  ~ : ~ 1 000
\item   2,816  ~ : ~ 100
\item   75,7  ~ : ~ 10
\item   640,1  ~ : ~ 100
\item   96,58  ~ : ~ 1 000
\item   592,2  ~ : ~ 1 000
\item   20,09  ~ : ~ 1 000
\item   3,887  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,44  ~ \(\times\)  ~ ... ~ = ~ 440
\item   10,3  ~ \(\times\)  ~ ... ~ = ~ 1 030
\item   0,571  ~ \(\times\)  ~ ... ~ = ~ 57,1
\item   2,57  ~ \(\times\)  ~ ... ~ = ~ 2 570
\item   6,16  ~ \(\times\)  ~ ... ~ = ~ 616
\item   0,055  ~ \(\times\)  ~ ... ~ = ~ 0,55
\item   333  ~ \(\times\)  ~ ... ~ = ~ 333 000
\item   81  ~ \(\times\)  ~ ... ~ = ~ 810
\item   280  ~ \(\times\)  ~ ... ~ = ~ 280 000
\item   0,044  ~ \(\times\)  ~ ... ~ = ~ 44
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,081  ~ \(\times\)  ~ 0,01
\item   868,3  ~ \(\times\)  ~ 0,01
\item   5 728  ~ \(\times\)  ~ 0,01
\item   734,2  ~ \(\times\)  ~ 0,001
\item   8 380  ~ \(\times\)  ~ 0,01
\item   1 960  ~ \(\times\)  ~ 0,001
\item   7 575  ~ \(\times\)  ~ 0,001
\item   615,9  ~ \(\times\)  ~ 0,1
\item   407,9  ~ \(\times\)  ~ 0,01
\item   3 687  ~ \(\times\)  ~ 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   178,6  ~ \(\times\)  ~ ... ~ = ~  1,786
\item   881,9  ~ \(\times\)  ~ ... ~ = ~  88,19
\item   11,19  ~ \(\times\)  ~ ... ~ = ~  1,119
\item   46,83  ~ \(\times\)  ~ ... ~ = ~  0,468 3
\item   2 280  ~ \(\times\)  ~ ... ~ = ~  228
\item   9,686  ~ \(\times\)  ~ ... ~ = ~  0,096 86
\item   1 535  ~ \(\times\)  ~ ... ~ = ~  15,35
\item   3,785  ~ \(\times\)  ~ ... ~ = ~  0,378 5
\item   6 046  ~ \(\times\)  ~ ... ~ = ~  6,046
\item   9,737  ~ \(\times\)  ~ ... ~ = ~  0,009 737
\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 ~km~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 542,7 ~dam~ = ...~dm
\item   377,22 ~daL~ = ...~dL
\item   910,67 ~dL~ = ...~L
\item   9 015,3 ~dg~ = ...~cg
\item   8 723,1 ~dag~ = ...~mg
\item   3 238,5 ~dam~ = ...~hm
\item   2 640 ~dam~ = ...~km
\item   3 938,1 ~cL~ = ...~L
\item   2 831,3 ~hL~ = ...~mL
\item   194,23 ~hm~ = ...~km
\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   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{1500}{100}\) = \(\dfrac{150}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{64}{10}\) = \(\dfrac{640}{100}\)
\item   \(\dfrac{85}{100}\) = \(\dfrac{850}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,059  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 59}
\item   8,68  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 868}
\item   91,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 91 600}
\item   5,34  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 340}
\item   62  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 620}
\item   86,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 640}
\item   0,088  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 88}
\item   0,84  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,4}
\item   8,72  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 720}
\item   8,67  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 86,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 98}
\item   826,5 ~ : ~ 10 ~ = ~{\color{red} 82,65}
\item   942,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,942 6}
\item   2,816 ~ : ~ 100 ~ = ~{\color{red} 0,028 16}
\item   75,7 ~ : ~ 10 ~ = ~{\color{red} 7,57}
\item   640,1 ~ : ~ 100 ~ = ~{\color{red} 6,401}
\item   96,58 ~ : ~ 1 000 ~ = ~{\color{red} 0,096 58}
\item   592,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,592 2}
\item   20,09 ~ : ~ 1 000 ~ = ~{\color{red} 0,020 09}
\item   3,887 ~ : ~ 100 ~ = ~{\color{red} 0,038 87}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,44 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~440
\item   10,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 030
\item   0,571 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~57,1
\item   2,57 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 570
\item   6,16 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~616
\item   0,055 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,55
\item   333 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~333 000
\item   81 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~810
\item   280 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~280 000
\item   0,044 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~44
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,081 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,020 81
}\item   868,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,683
}\item   5 728 ~ \(\times\)  0,01 ~ = ~{\color{red} 57,28
}\item   734,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,734 2
}\item   8 380 ~ \(\times\)  0,01 ~ = ~{\color{red} 83,8
}\item   1 960 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,96
}\item   7 575 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,575
}\item   615,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 61,59
}\item   407,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,079
}\item   3 687 ~ \(\times\)  0,01 ~ = ~{\color{red} 36,87
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   178,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,786
\item   881,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 88,19
\item   11,19 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,119
\item   46,83 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,468 3
\item   2 280 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 228
\item   9,686 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,096 86
\item   1 535 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 15,35
\item   3,785 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,378 5
\item   6 046 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,046
\item   9,737 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 737
\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 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 542,7 ~dam~ = {\color{red}  654 270 }~dm
\item   377,22 ~daL~ = {\color{red}  37 722 }~dL
\item   910,67 ~dL~ = {\color{red}  91,067 }~L
\item   9 015,3 ~dg~ = {\color{red}  90 153 }~cg
\item   8 723,1 ~dag~ = {\color{red}  87 231 000 }~mg
\item   3 238,5 ~dam~ = {\color{red}  323,85 }~hm
\item   2 640 ~dam~ = {\color{red}  26,4 }~km
\item   3 938,1 ~cL~ = {\color{red}  39,381 }~L
\item   2 831,3 ~hL~ = {\color{red}  283 130 000 }~mL
\item   194,23 ~hm~ = {\color{red}  19,423 }~km
\end{itemize}
\end{multicols}
\end{document}
