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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{15}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,051  ~ \(\times\)  ~ 100
\item   30,5  ~ \(\times\)  ~ 10
\item   762  ~ \(\times\)  ~ 100
\item   823  ~ \(\times\)  ~ 10
\item   0,841  ~ \(\times\)  ~ 10
\item   1  ~ \(\times\)  ~ 100
\item   60,5  ~ \(\times\)  ~ 100
\item   0,063  ~ \(\times\)  ~ 10
\item   0,335  ~ \(\times\)  ~ 100
\item   0,022  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,968  ~ : ~ 1 000
\item   9,07  ~ : ~ 100
\item   449,2  ~ : ~ 1 000
\item   5 084  ~ : ~ 1 000
\item   1,84  ~ : ~ 10
\item   4 102  ~ : ~ 100
\item   62,04  ~ : ~ 100
\item   8,442  ~ : ~ 100
\item   4,506  ~ : ~ 10
\item   85,45  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,25  ~ \(\times\)  ~ ... ~ = ~ 72,5
\item   571  ~ \(\times\)  ~ ... ~ = ~ 571 000
\item   0,332  ~ \(\times\)  ~ ... ~ = ~ 33,2
\item   35,7  ~ \(\times\)  ~ ... ~ = ~ 35 700
\item   0,04  ~ \(\times\)  ~ ... ~ = ~ 4
\item   2,13  ~ \(\times\)  ~ ... ~ = ~ 2 130
\item   47  ~ \(\times\)  ~ ... ~ = ~ 47 000
\item   88,2  ~ \(\times\)  ~ ... ~ = ~ 8 820
\item   41,6  ~ \(\times\)  ~ ... ~ = ~ 416
\item   74,3  ~ \(\times\)  ~ ... ~ = ~ 743
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,21  ~ \(\times\)  ~ 0,1
\item   7 409  ~ \(\times\)  ~ 0,01
\item   197,6  ~ \(\times\)  ~ 0,01
\item   5 825  ~ \(\times\)  ~ 0,01
\item   345,1  ~ \(\times\)  ~ 0,1
\item   921,2  ~ \(\times\)  ~ 0,001
\item   79,68  ~ \(\times\)  ~ 0,1
\item   8,348  ~ \(\times\)  ~ 0,1
\item   639,3  ~ \(\times\)  ~ 0,001
\item   0,828  ~ \(\times\)  ~ 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   4 089  ~ \(\times\)  ~ ... ~ = ~  40,89
\item   7,29  ~ \(\times\)  ~ ... ~ = ~  0,072 9
\item   89,83  ~ \(\times\)  ~ ... ~ = ~  0,898 3
\item   645,5  ~ \(\times\)  ~ ... ~ = ~  6,455
\item   432,8  ~ \(\times\)  ~ ... ~ = ~  43,28
\item   46,11  ~ \(\times\)  ~ ... ~ = ~  4,611
\item   5,912  ~ \(\times\)  ~ ... ~ = ~  0,591 2
\item   16,79  ~ \(\times\)  ~ ... ~ = ~  0,016 79
\item   10,21  ~ \(\times\)  ~ ... ~ = ~  0,102 1
\item   3,179  ~ \(\times\)  ~ ... ~ = ~  0,031 79
\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 ~cm~ = ...~dam
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 697,9 ~hg~ = ...~dg
\item   618,81 ~cL~ = ...~L
\item   372,63 ~dam~ = ...~mm
\item   2 844,8 ~dam~ = ...~dm
\item   7 064,8 ~cg~ = ...~g
\item   7 043 ~dL~ = ...~kL
\item   945,76 ~L~ = ...~kL
\item   9 806 ~km~ = ...~m
\item   7 863 ~kL~ = ...~dL
\item   896,7 ~L~ = ...~cL
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{650}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{520}{100}\)
\item   \(\dfrac{15}{100}\) = \(\dfrac{150}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,051  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,1}
\item   30,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 305}
\item   762  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 76 200}
\item   823  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 230}
\item   0,841  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,41}
\item   1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 100}
\item   60,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 050}
\item   0,063  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,63}
\item   0,335  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 33,5}
\item   0,022  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,22}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,968 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 968}
\item   9,07 ~ : ~ 100 ~ = ~{\color{red} 0,090 7}
\item   449,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,449 2}
\item   5 084 ~ : ~ 1 000 ~ = ~{\color{red} 5,084}
\item   1,84 ~ : ~ 10 ~ = ~{\color{red} 0,184}
\item   4 102 ~ : ~ 100 ~ = ~{\color{red} 41,02}
\item   62,04 ~ : ~ 100 ~ = ~{\color{red} 0,620 4}
\item   8,442 ~ : ~ 100 ~ = ~{\color{red} 0,084 42}
\item   4,506 ~ : ~ 10 ~ = ~{\color{red} 0,450 6}
\item   85,45 ~ : ~ 100 ~ = ~{\color{red} 0,854 5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,25 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~72,5
\item   571 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~571 000
\item   0,332 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~33,2
\item   35,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~35 700
\item   0,04 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4
\item   2,13 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 130
\item   47 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~47 000
\item   88,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 820
\item   41,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~416
\item   74,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~743
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,21 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,321
}\item   7 409 ~ \(\times\)  0,01 ~ = ~{\color{red} 74,09
}\item   197,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,976
}\item   5 825 ~ \(\times\)  0,01 ~ = ~{\color{red} 58,25
}\item   345,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 34,51
}\item   921,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,921 2
}\item   79,68 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,968
}\item   8,348 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,834 8
}\item   639,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,639 3
}\item   0,828 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,008 28
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 089 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 40,89
\item   7,29 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,072 9
\item   89,83 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,898 3
\item   645,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,455
\item   432,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 43,28
\item   46,11 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,611
\item   5,912 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,591 2
\item   16,79 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,016 79
\item   10,21 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,102 1
\item   3,179 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,031 79
\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 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 697,9 ~hg~ = {\color{red}  6 697 900 }~dg
\item   618,81 ~cL~ = {\color{red}  6,188 1 }~L
\item   372,63 ~dam~ = {\color{red}  3 726 300 }~mm
\item   2 844,8 ~dam~ = {\color{red}  284 480 }~dm
\item   7 064,8 ~cg~ = {\color{red}  70,648 }~g
\item   7 043 ~dL~ = {\color{red}  0,704 3 }~kL
\item   945,76 ~L~ = {\color{red}  0,945 76 }~kL
\item   9 806 ~km~ = {\color{red}  9 806 000 }~m
\item   7 863 ~kL~ = {\color{red}  78 630 000 }~dL
\item   896,7 ~L~ = {\color{red}  89 670 }~cL
\end{itemize}
\end{multicols}
\end{document}
