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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   \(\dfrac{62}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,873  ~ \(\times\)  ~ 100
\item   4,78  ~ \(\times\)  ~ 10
\item   0,02  ~ \(\times\)  ~ 100
\item   0,828  ~ \(\times\)  ~ 10
\item   81,9  ~ \(\times\)  ~ 100
\item   781  ~ \(\times\)  ~ 10
\item   0,828  ~ \(\times\)  ~ 1 000
\item   5,65  ~ \(\times\)  ~ 100
\item   5,79  ~ \(\times\)  ~ 100
\item   0,076  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,42  ~ : ~ 10
\item   63,98  ~ : ~ 1 000
\item   931,4  ~ : ~ 100
\item   824  ~ : ~ 100
\item   709,7  ~ : ~ 1 000
\item   3 327  ~ : ~ 1 000
\item   7,242  ~ : ~ 1 000
\item   47,41  ~ : ~ 10
\item   9,333  ~ : ~ 1 000
\item   5,708  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,9  ~ \(\times\)  ~ ... ~ = ~ 84 900
\item   0,362  ~ \(\times\)  ~ ... ~ = ~ 36,2
\item   0,007  ~ \(\times\)  ~ ... ~ = ~ 0,7
\item   0,019  ~ \(\times\)  ~ ... ~ = ~ 1,9
\item   0,023  ~ \(\times\)  ~ ... ~ = ~ 23
\item   0,096  ~ \(\times\)  ~ ... ~ = ~ 0,96
\item   621  ~ \(\times\)  ~ ... ~ = ~ 62 100
\item   56  ~ \(\times\)  ~ ... ~ = ~ 5 600
\item   0,093  ~ \(\times\)  ~ ... ~ = ~ 0,93
\item   0,003  ~ \(\times\)  ~ ... ~ = ~ 0,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,35  ~ \(\times\)  ~ 0,1
\item   62,12  ~ \(\times\)  ~ 0,1
\item   676,2  ~ \(\times\)  ~ 0,1
\item   9,42  ~ \(\times\)  ~ 0,001
\item   3,53  ~ \(\times\)  ~ 0,001
\item   47,75  ~ \(\times\)  ~ 0,01
\item   3 019  ~ \(\times\)  ~ 0,1
\item   2,079  ~ \(\times\)  ~ 0,1
\item   1,72  ~ \(\times\)  ~ 0,01
\item   5,272  ~ \(\times\)  ~ 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   5,497  ~ \(\times\)  ~ ... ~ = ~  0,005 497
\item   704,3  ~ \(\times\)  ~ ... ~ = ~  70,43
\item   443,5  ~ \(\times\)  ~ ... ~ = ~  0,443 5
\item   0,95  ~ \(\times\)  ~ ... ~ = ~  0,095
\item   272,9  ~ \(\times\)  ~ ... ~ = ~  0,272 9
\item   69,95  ~ \(\times\)  ~ ... ~ = ~  0,699 5
\item   7 794  ~ \(\times\)  ~ ... ~ = ~  77,94
\item   47,52  ~ \(\times\)  ~ ... ~ = ~  4,752
\item   3 792  ~ \(\times\)  ~ ... ~ = ~  379,2
\item   9,273  ~ \(\times\)  ~ ... ~ = ~  0,927 3
\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 ~m~ = ...~km
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~m
\item   1 ~km~ = ...~dam
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   170,06 ~daL~ = ...~L
\item   3 734,8 ~mm~ = ...~dm
\item   203,41 ~dg~ = ...~kg
\item   3 504,6 ~m~ = ...~hm
\item   642,17 ~hm~ = ...~dm
\item   629,56 ~mL~ = ...~daL
\item   971,46 ~km~ = ...~dam
\item   7 168,3 ~km~ = ...~dm
\item   570,59 ~cL~ = ...~dL
\item   9 899,2 ~dL~ = ...~daL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{9800}{100}\) = \(\dfrac{980}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{62}{10}\) = \(\dfrac{620}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{690}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,873  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 87,3}
\item   4,78  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 47,8}
\item   0,02  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2}
\item   0,828  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,28}
\item   81,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 190}
\item   781  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 810}
\item   0,828  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 828}
\item   5,65  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 565}
\item   5,79  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 579}
\item   0,076  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,42 ~ : ~ 10 ~ = ~{\color{red} 2,942}
\item   63,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,063 98}
\item   931,4 ~ : ~ 100 ~ = ~{\color{red} 9,314}
\item   824 ~ : ~ 100 ~ = ~{\color{red} 8,24}
\item   709,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,709 7}
\item   3 327 ~ : ~ 1 000 ~ = ~{\color{red} 3,327}
\item   7,242 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 242}
\item   47,41 ~ : ~ 10 ~ = ~{\color{red} 4,741}
\item   9,333 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 333}
\item   5,708 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 708}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~84 900
\item   0,362 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~36,2
\item   0,007 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,7
\item   0,019 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,9
\item   0,023 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~23
\item   0,096 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,96
\item   621 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~62 100
\item   56 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 600
\item   0,093 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,93
\item   0,003 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,35 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,235
}\item   62,12 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,212
}\item   676,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 67,62
}\item   9,42 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 42
}\item   3,53 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 53
}\item   47,75 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,477 5
}\item   3 019 ~ \(\times\)  0,1 ~ = ~{\color{red} 301,9
}\item   2,079 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,207 9
}\item   1,72 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,017 2
}\item   5,272 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 272
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,497 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 497
\item   704,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 70,43
\item   443,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,443 5
\item   0,95 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,095
\item   272,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,272 9
\item   69,95 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,699 5
\item   7 794 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 77,94
\item   47,52 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,752
\item   3 792 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 379,2
\item   9,273 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,927 3
\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 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   170,06 ~daL~ = {\color{red}  1 700,6 }~L
\item   3 734,8 ~mm~ = {\color{red}  37,348 }~dm
\item   203,41 ~dg~ = {\color{red}  0,020 341 }~kg
\item   3 504,6 ~m~ = {\color{red}  35,046 }~hm
\item   642,17 ~hm~ = {\color{red}  642 170 }~dm
\item   629,56 ~mL~ = {\color{red}  0,062 956 }~daL
\item   971,46 ~km~ = {\color{red}  97 146 }~dam
\item   7 168,3 ~km~ = {\color{red}  71 683 000 }~dm
\item   570,59 ~cL~ = {\color{red}  57,059 }~dL
\item   9 899,2 ~dL~ = {\color{red}  98,992 }~daL
\end{itemize}
\end{multicols}
\end{document}
