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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{71}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{18}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,85  ~ \(\times\)  ~ 10
\item   0,201  ~ \(\times\)  ~ 100
\item   0,456  ~ \(\times\)  ~ 1 000
\item   6,78  ~ \(\times\)  ~ 1 000
\item   0,237  ~ \(\times\)  ~ 100
\item   0,738  ~ \(\times\)  ~ 1 000
\item   14,9  ~ \(\times\)  ~ 100
\item   0,382  ~ \(\times\)  ~ 100
\item   0,85  ~ \(\times\)  ~ 100
\item   34,7  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 202  ~ : ~ 10
\item   16,24  ~ : ~ 10
\item   30,79  ~ : ~ 100
\item   91,63  ~ : ~ 1 000
\item   4,223  ~ : ~ 100
\item   705,9  ~ : ~ 10
\item   2,43  ~ : ~ 10
\item   265,1  ~ : ~ 10
\item   536,6  ~ : ~ 10
\item   52,84  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,13  ~ \(\times\)  ~ ... ~ = ~ 6 130
\item   0,047  ~ \(\times\)  ~ ... ~ = ~ 4,7
\item   0,227  ~ \(\times\)  ~ ... ~ = ~ 2,27
\item   0,065  ~ \(\times\)  ~ ... ~ = ~ 6,5
\item   0,407  ~ \(\times\)  ~ ... ~ = ~ 407
\item   73,9  ~ \(\times\)  ~ ... ~ = ~ 739
\item   616  ~ \(\times\)  ~ ... ~ = ~ 616 000
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 36
\item   76  ~ \(\times\)  ~ ... ~ = ~ 76 000
\item   0,738  ~ \(\times\)  ~ ... ~ = ~ 73,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   857  ~ \(\times\)  ~ 0,001
\item   30,3  ~ \(\times\)  ~ 0,1
\item   6 951  ~ \(\times\)  ~ 0,01
\item   37,98  ~ \(\times\)  ~ 0,1
\item   2 174  ~ \(\times\)  ~ 0,1
\item   90,12  ~ \(\times\)  ~ 0,001
\item   4 651  ~ \(\times\)  ~ 0,01
\item   7 663  ~ \(\times\)  ~ 0,01
\item   854,6  ~ \(\times\)  ~ 0,1
\item   50,5  ~ \(\times\)  ~ 0,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 863  ~ \(\times\)  ~ ... ~ = ~  48,63
\item   36,06  ~ \(\times\)  ~ ... ~ = ~  0,036 06
\item   2 851  ~ \(\times\)  ~ ... ~ = ~  2,851
\item   5 439  ~ \(\times\)  ~ ... ~ = ~  5,439
\item   26,88  ~ \(\times\)  ~ ... ~ = ~  0,026 88
\item   5 415  ~ \(\times\)  ~ ... ~ = ~  541,5
\item   4 481  ~ \(\times\)  ~ ... ~ = ~  448,1
\item   32,35  ~ \(\times\)  ~ ... ~ = ~  0,032 35
\item   8,721  ~ \(\times\)  ~ ... ~ = ~  0,872 1
\item   57,64  ~ \(\times\)  ~ ... ~ = ~  5,764
\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~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   409,39 ~dm~ = ...~dam
\item   415,5 ~cm~ = ...~mm
\item   868,45 ~L~ = ...~daL
\item   6 922,7 ~dL~ = ...~hL
\item   7 686 ~cm~ = ...~hm
\item   6 200,7 ~cg~ = ...~dg
\item   8 484,4 ~kg~ = ...~mg
\item   547,04 ~cg~ = ...~g
\item   427,65 ~hm~ = ...~m
\item   8 680,2 ~m~ = ...~mm
\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   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{820}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{71}{10}\) = \(\dfrac{710}{100}\)
\item   \(\dfrac{18}{100}\) = \(\dfrac{180}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,85  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 98,5}
\item   0,201  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 20,1}
\item   0,456  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 456}
\item   6,78  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 780}
\item   0,237  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 23,7}
\item   0,738  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 738}
\item   14,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 490}
\item   0,382  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 38,2}
\item   0,85  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85}
\item   34,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 347}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 202 ~ : ~ 10 ~ = ~{\color{red} 720,2}
\item   16,24 ~ : ~ 10 ~ = ~{\color{red} 1,624}
\item   30,79 ~ : ~ 100 ~ = ~{\color{red} 0,307 9}
\item   91,63 ~ : ~ 1 000 ~ = ~{\color{red} 0,091 63}
\item   4,223 ~ : ~ 100 ~ = ~{\color{red} 0,042 23}
\item   705,9 ~ : ~ 10 ~ = ~{\color{red} 70,59}
\item   2,43 ~ : ~ 10 ~ = ~{\color{red} 0,243}
\item   265,1 ~ : ~ 10 ~ = ~{\color{red} 26,51}
\item   536,6 ~ : ~ 10 ~ = ~{\color{red} 53,66}
\item   52,84 ~ : ~ 10 ~ = ~{\color{red} 5,284}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,13 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 130
\item   0,047 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,7
\item   0,227 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,27
\item   0,065 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,5
\item   0,407 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~407
\item   73,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~739
\item   616 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~616 000
\item   0,036 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~36
\item   76 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 000
\item   0,738 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~73,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   857 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,857
}\item   30,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,03
}\item   6 951 ~ \(\times\)  0,01 ~ = ~{\color{red} 69,51
}\item   37,98 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,798
}\item   2 174 ~ \(\times\)  0,1 ~ = ~{\color{red} 217,4
}\item   90,12 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,090 12
}\item   4 651 ~ \(\times\)  0,01 ~ = ~{\color{red} 46,51
}\item   7 663 ~ \(\times\)  0,01 ~ = ~{\color{red} 76,63
}\item   854,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 85,46
}\item   50,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,05
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 863 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 48,63
\item   36,06 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,036 06
\item   2 851 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,851
\item   5 439 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,439
\item   26,88 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,026 88
\item   5 415 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 541,5
\item   4 481 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 448,1
\item   32,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,032 35
\item   8,721 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,872 1
\item   57,64 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,764
\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}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   409,39 ~dm~ = {\color{red}  4,093 9 }~dam
\item   415,5 ~cm~ = {\color{red}  4 155 }~mm
\item   868,45 ~L~ = {\color{red}  86,845 }~daL
\item   6 922,7 ~dL~ = {\color{red}  6,922 7 }~hL
\item   7 686 ~cm~ = {\color{red}  0,768 6 }~hm
\item   6 200,7 ~cg~ = {\color{red}  620,07 }~dg
\item   8 484,4 ~kg~ = {\color{red}  8 484 400 000 }~mg
\item   547,04 ~cg~ = {\color{red}  5,470 4 }~g
\item   427,65 ~hm~ = {\color{red}  42 765 }~m
\item   8 680,2 ~m~ = {\color{red}  8 680 200 }~mm
\end{itemize}
\end{multicols}
\end{document}
