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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{88}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,195  ~ \(\times\)  ~ 100
\item   0,641  ~ \(\times\)  ~ 1 000
\item   604  ~ \(\times\)  ~ 1 000
\item   0,055  ~ \(\times\)  ~ 1 000
\item   0,077  ~ \(\times\)  ~ 10
\item   0,761  ~ \(\times\)  ~ 100
\item   0,024  ~ \(\times\)  ~ 10
\item   95  ~ \(\times\)  ~ 1 000
\item   0,02  ~ \(\times\)  ~ 1 000
\item   0,046  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   879,1  ~ : ~ 100
\item   6,851  ~ : ~ 1 000
\item   122,3  ~ : ~ 1 000
\item   16,08  ~ : ~ 100
\item   3,287  ~ : ~ 1 000
\item   7,163  ~ : ~ 10
\item   28,37  ~ : ~ 10
\item   127,7  ~ : ~ 1 000
\item   4,932  ~ : ~ 10
\item   9,244  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,94  ~ \(\times\)  ~ ... ~ = ~ 794
\item   0,663  ~ \(\times\)  ~ ... ~ = ~ 663
\item   0,098  ~ \(\times\)  ~ ... ~ = ~ 9,8
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 90
\item   0,221  ~ \(\times\)  ~ ... ~ = ~ 2,21
\item   76,9  ~ \(\times\)  ~ ... ~ = ~ 76 900
\item   0,061  ~ \(\times\)  ~ ... ~ = ~ 61
\item   0,018  ~ \(\times\)  ~ ... ~ = ~ 1,8
\item   549  ~ \(\times\)  ~ ... ~ = ~ 54 900
\item   0,131  ~ \(\times\)  ~ ... ~ = ~ 1,31
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 136  ~ \(\times\)  ~ 0,001
\item   64  ~ \(\times\)  ~ 0,01
\item   292  ~ \(\times\)  ~ 0,01
\item   743,8  ~ \(\times\)  ~ 0,001
\item   267  ~ \(\times\)  ~ 0,001
\item   689,8  ~ \(\times\)  ~ 0,1
\item   796  ~ \(\times\)  ~ 0,1
\item   142,2  ~ \(\times\)  ~ 0,01
\item   461,4  ~ \(\times\)  ~ 0,1
\item   204,8  ~ \(\times\)  ~ 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   69,44  ~ \(\times\)  ~ ... ~ = ~  0,694 4
\item   4,472  ~ \(\times\)  ~ ... ~ = ~  0,044 72
\item   4,086  ~ \(\times\)  ~ ... ~ = ~  0,408 6
\item   496,8  ~ \(\times\)  ~ ... ~ = ~  49,68
\item   772,3  ~ \(\times\)  ~ ... ~ = ~  7,723
\item   946,7  ~ \(\times\)  ~ ... ~ = ~  0,946 7
\item   38,17  ~ \(\times\)  ~ ... ~ = ~  3,817
\item   2,887  ~ \(\times\)  ~ ... ~ = ~  0,002 887
\item   778,8  ~ \(\times\)  ~ ... ~ = ~  77,88
\item   42,74  ~ \(\times\)  ~ ... ~ = ~  0,427 4
\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~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 756,6 ~L~ = ...~cL
\item   7 396,4 ~daL~ = ...~hL
\item   381,92 ~L~ = ...~mL
\item   922,86 ~dm~ = ...~cm
\item   687,02 ~km~ = ...~dm
\item   1 548,1 ~dm~ = ...~m
\item   296,33 ~cm~ = ...~dm
\item   3 826,5 ~hL~ = ...~daL
\item   135,32 ~dg~ = ...~cg
\item   383,8 ~g~ = ...~dg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 = \(\dfrac{30}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{3200}{100}\) = \(\dfrac{320}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{950}{100}\)
\item   \(\dfrac{88}{100}\) = \(\dfrac{880}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,195  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 19,5}
\item   0,641  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 641}
\item   604  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 604 000}
\item   0,055  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 55}
\item   0,077  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,77}
\item   0,761  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 76,1}
\item   0,024  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,24}
\item   95  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 95 000}
\item   0,02  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 20}
\item   0,046  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,46}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   879,1 ~ : ~ 100 ~ = ~{\color{red} 8,791}
\item   6,851 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 851}
\item   122,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,122 3}
\item   16,08 ~ : ~ 100 ~ = ~{\color{red} 0,160 8}
\item   3,287 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 287}
\item   7,163 ~ : ~ 10 ~ = ~{\color{red} 0,716 3}
\item   28,37 ~ : ~ 10 ~ = ~{\color{red} 2,837}
\item   127,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,127 7}
\item   4,932 ~ : ~ 10 ~ = ~{\color{red} 0,493 2}
\item   9,244 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 244}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,94 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~794
\item   0,663 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~663
\item   0,098 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,8
\item   0,09 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~90
\item   0,221 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,21
\item   76,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 900
\item   0,061 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~61
\item   0,018 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,8
\item   549 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~54 900
\item   0,131 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,31
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 136 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,136
}\item   64 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,64
}\item   292 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,92
}\item   743,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,743 8
}\item   267 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,267
}\item   689,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 68,98
}\item   796 ~ \(\times\)  0,1 ~ = ~{\color{red} 79,6
}\item   142,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,422
}\item   461,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 46,14
}\item   204,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 20,48
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   69,44 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,694 4
\item   4,472 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,044 72
\item   4,086 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,408 6
\item   496,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 49,68
\item   772,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,723
\item   946,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,946 7
\item   38,17 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,817
\item   2,887 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 887
\item   778,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 77,88
\item   42,74 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,427 4
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 756,6 ~L~ = {\color{red}  975 660 }~cL
\item   7 396,4 ~daL~ = {\color{red}  739,64 }~hL
\item   381,92 ~L~ = {\color{red}  381 920 }~mL
\item   922,86 ~dm~ = {\color{red}  9 228,6 }~cm
\item   687,02 ~km~ = {\color{red}  6 870 200 }~dm
\item   1 548,1 ~dm~ = {\color{red}  154,81 }~m
\item   296,33 ~cm~ = {\color{red}  29,633 }~dm
\item   3 826,5 ~hL~ = {\color{red}  38 265 }~daL
\item   135,32 ~dg~ = {\color{red}  1 353,2 }~cg
\item   383,8 ~g~ = {\color{red}  3 838 }~dg
\end{itemize}
\end{multicols}
\end{document}
