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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{40}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   69,1  ~ \(\times\)  ~ 10
\item   66,5  ~ \(\times\)  ~ 10
\item   0,008  ~ \(\times\)  ~ 10
\item   7,71  ~ \(\times\)  ~ 10
\item   45  ~ \(\times\)  ~ 1 000
\item   632  ~ \(\times\)  ~ 100
\item   86,3  ~ \(\times\)  ~ 10
\item   9,01  ~ \(\times\)  ~ 100
\item   0,771  ~ \(\times\)  ~ 10
\item   8,21  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,935  ~ : ~ 1 000
\item   9,343  ~ : ~ 1 000
\item   6,068  ~ : ~ 1 000
\item   5 241  ~ : ~ 100
\item   98,44  ~ : ~ 1 000
\item   744,7  ~ : ~ 100
\item   736,5  ~ : ~ 100
\item   342  ~ : ~ 1 000
\item   59,37  ~ : ~ 100
\item   76,28  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,295  ~ \(\times\)  ~ ... ~ = ~ 2,95
\item   0,6  ~ \(\times\)  ~ ... ~ = ~ 600
\item   0,025  ~ \(\times\)  ~ ... ~ = ~ 0,25
\item   91,6  ~ \(\times\)  ~ ... ~ = ~ 91 600
\item   38,4  ~ \(\times\)  ~ ... ~ = ~ 384
\item   0,449  ~ \(\times\)  ~ ... ~ = ~ 44,9
\item   0,011  ~ \(\times\)  ~ ... ~ = ~ 0,11
\item   23,9  ~ \(\times\)  ~ ... ~ = ~ 2 390
\item   0,834  ~ \(\times\)  ~ ... ~ = ~ 834
\item   26,8  ~ \(\times\)  ~ ... ~ = ~ 26 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   68,75  ~ \(\times\)  ~ 0,01
\item   34,27  ~ \(\times\)  ~ 0,001
\item   234,5  ~ \(\times\)  ~ 0,001
\item   823,3  ~ \(\times\)  ~ 0,001
\item   798  ~ \(\times\)  ~ 0,01
\item   96,53  ~ \(\times\)  ~ 0,1
\item   493,9  ~ \(\times\)  ~ 0,1
\item   9 198  ~ \(\times\)  ~ 0,1
\item   2 842  ~ \(\times\)  ~ 0,01
\item   9 851  ~ \(\times\)  ~ 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   5 721  ~ \(\times\)  ~ ... ~ = ~  5,721
\item   14,9  ~ \(\times\)  ~ ... ~ = ~  0,149
\item   2,091  ~ \(\times\)  ~ ... ~ = ~  0,020 91
\item   4 507  ~ \(\times\)  ~ ... ~ = ~  45,07
\item   86,53  ~ \(\times\)  ~ ... ~ = ~  8,653
\item   1,94  ~ \(\times\)  ~ ... ~ = ~  0,019 4
\item   2,641  ~ \(\times\)  ~ ... ~ = ~  0,002 641
\item   8,829  ~ \(\times\)  ~ ... ~ = ~  0,882 9
\item   34,96  ~ \(\times\)  ~ ... ~ = ~  3,496
\item   626,4  ~ \(\times\)  ~ ... ~ = ~  0,626 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 ~km~ = ...~dm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 754,1 ~cm~ = ...~mm
\item   1 645,7 ~mg~ = ...~hg
\item   8 929,8 ~mm~ = ...~km
\item   868,97 ~hm~ = ...~dam
\item   6 030,2 ~kL~ = ...~dL
\item   1 800,5 ~kg~ = ...~cg
\item   985,6 ~cm~ = ...~m
\item   1 175,8 ~dag~ = ...~cg
\item   5 667,1 ~hg~ = ...~g
\item   3 071,4 ~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   5 = \(\dfrac{50}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{9800}{100}\) = \(\dfrac{980}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{940}{100}\)
\item   \(\dfrac{40}{100}\) = \(\dfrac{400}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   69,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 691}
\item   66,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 665}
\item   0,008  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,08}
\item   7,71  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 77,1}
\item   45  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 45 000}
\item   632  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 63 200}
\item   86,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 863}
\item   9,01  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 901}
\item   0,771  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,71}
\item   8,21  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 821}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,935 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 935}
\item   9,343 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 343}
\item   6,068 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 068}
\item   5 241 ~ : ~ 100 ~ = ~{\color{red} 52,41}
\item   98,44 ~ : ~ 1 000 ~ = ~{\color{red} 0,098 44}
\item   744,7 ~ : ~ 100 ~ = ~{\color{red} 7,447}
\item   736,5 ~ : ~ 100 ~ = ~{\color{red} 7,365}
\item   342 ~ : ~ 1 000 ~ = ~{\color{red} 0,342}
\item   59,37 ~ : ~ 100 ~ = ~{\color{red} 0,593 7}
\item   76,28 ~ : ~ 1 000 ~ = ~{\color{red} 0,076 28}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,295 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,95
\item   0,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~600
\item   0,025 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,25
\item   91,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~91 600
\item   38,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~384
\item   0,449 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~44,9
\item   0,011 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,11
\item   23,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 390
\item   0,834 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~834
\item   26,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~26 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   68,75 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,687 5
}\item   34,27 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,034 27
}\item   234,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,234 5
}\item   823,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,823 3
}\item   798 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,98
}\item   96,53 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,653
}\item   493,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 49,39
}\item   9 198 ~ \(\times\)  0,1 ~ = ~{\color{red} 919,8
}\item   2 842 ~ \(\times\)  0,01 ~ = ~{\color{red} 28,42
}\item   9 851 ~ \(\times\)  0,01 ~ = ~{\color{red} 98,51
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 721 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,721
\item   14,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,149
\item   2,091 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,020 91
\item   4 507 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 45,07
\item   86,53 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,653
\item   1,94 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,019 4
\item   2,641 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 641
\item   8,829 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,882 9
\item   34,96 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,496
\item   626,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,626 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 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 754,1 ~cm~ = {\color{red}  27 541 }~mm
\item   1 645,7 ~mg~ = {\color{red}  0,016 457 }~hg
\item   8 929,8 ~mm~ = {\color{red}  0,008 929 8 }~km
\item   868,97 ~hm~ = {\color{red}  8 689,7 }~dam
\item   6 030,2 ~kL~ = {\color{red}  60 302 000 }~dL
\item   1 800,5 ~kg~ = {\color{red}  180 050 000 }~cg
\item   985,6 ~cm~ = {\color{red}  9,856 }~m
\item   1 175,8 ~dag~ = {\color{red}  1 175 800 }~cg
\item   5 667,1 ~hg~ = {\color{red}  566 710 }~g
\item   3 071,4 ~cL~ = {\color{red}  30 714 }~mL
\end{itemize}
\end{multicols}
\end{document}
