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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,02  ~ \(\times\)  ~ 10
\item   0,072  ~ \(\times\)  ~ 10
\item   0,344  ~ \(\times\)  ~ 10
\item   458  ~ \(\times\)  ~ 100
\item   0,07  ~ \(\times\)  ~ 100
\item   85,3  ~ \(\times\)  ~ 10
\item   2,42  ~ \(\times\)  ~ 10
\item   21,8  ~ \(\times\)  ~ 100
\item   0,469  ~ \(\times\)  ~ 10
\item   3,4  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 753  ~ : ~ 10
\item   9,387  ~ : ~ 100
\item   67,28  ~ : ~ 1 000
\item   1,151  ~ : ~ 100
\item   540,5  ~ : ~ 100
\item   4 817  ~ : ~ 100
\item   831,9  ~ : ~ 1 000
\item   7,415  ~ : ~ 100
\item   6,049  ~ : ~ 1 000
\item   5,32  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   906  ~ \(\times\)  ~ ... ~ = ~ 9 060
\item   0,056  ~ \(\times\)  ~ ... ~ = ~ 56
\item   0,728  ~ \(\times\)  ~ ... ~ = ~ 728
\item   0,089  ~ \(\times\)  ~ ... ~ = ~ 0,89
\item   0,048  ~ \(\times\)  ~ ... ~ = ~ 48
\item   0,089  ~ \(\times\)  ~ ... ~ = ~ 89
\item   3,84  ~ \(\times\)  ~ ... ~ = ~ 384
\item   0,927  ~ \(\times\)  ~ ... ~ = ~ 927
\item   0,135  ~ \(\times\)  ~ ... ~ = ~ 13,5
\item   5,51  ~ \(\times\)  ~ ... ~ = ~ 551
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,36  ~ \(\times\)  ~ 0,1
\item   3,031  ~ \(\times\)  ~ 0,1
\item   2,758  ~ \(\times\)  ~ 0,001
\item   2,821  ~ \(\times\)  ~ 0,01
\item   46,6  ~ \(\times\)  ~ 0,1
\item   3,527  ~ \(\times\)  ~ 0,01
\item   484,7  ~ \(\times\)  ~ 0,001
\item   6,767  ~ \(\times\)  ~ 0,01
\item   34,45  ~ \(\times\)  ~ 0,01
\item   4,706  ~ \(\times\)  ~ 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   81,14  ~ \(\times\)  ~ ... ~ = ~  8,114
\item   4,131  ~ \(\times\)  ~ ... ~ = ~  0,413 1
\item   1 185  ~ \(\times\)  ~ ... ~ = ~  118,5
\item   4 879  ~ \(\times\)  ~ ... ~ = ~  4,879
\item   50,77  ~ \(\times\)  ~ ... ~ = ~  0,050 77
\item   736,9  ~ \(\times\)  ~ ... ~ = ~  0,736 9
\item   88,48  ~ \(\times\)  ~ ... ~ = ~  0,884 8
\item   541,8  ~ \(\times\)  ~ ... ~ = ~  0,541 8
\item   8 542  ~ \(\times\)  ~ ... ~ = ~  8,542
\item   600,9  ~ \(\times\)  ~ ... ~ = ~  6,009
\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~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   690,01 ~kL~ = ...~daL
\item   5 806,3 ~cm~ = ...~km
\item   458,15 ~cg~ = ...~g
\item   7 823,2 ~L~ = ...~dL
\item   1 119,2 ~kL~ = ...~hL
\item   904,26 ~dam~ = ...~m
\item   4 776,1 ~dm~ = ...~m
\item   904,19 ~mm~ = ...~dam
\item   6 493 ~cL~ = ...~daL
\item   352,26 ~L~ = ...~hL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{850}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{270}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{630}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,02  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 50,2}
\item   0,072  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,72}
\item   0,344  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,44}
\item   458  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 45 800}
\item   0,07  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7}
\item   85,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 853}
\item   2,42  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 24,2}
\item   21,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 180}
\item   0,469  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,69}
\item   3,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 34}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 753 ~ : ~ 10 ~ = ~{\color{red} 675,3}
\item   9,387 ~ : ~ 100 ~ = ~{\color{red} 0,093 87}
\item   67,28 ~ : ~ 1 000 ~ = ~{\color{red} 0,067 28}
\item   1,151 ~ : ~ 100 ~ = ~{\color{red} 0,011 51}
\item   540,5 ~ : ~ 100 ~ = ~{\color{red} 5,405}
\item   4 817 ~ : ~ 100 ~ = ~{\color{red} 48,17}
\item   831,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,831 9}
\item   7,415 ~ : ~ 100 ~ = ~{\color{red} 0,074 15}
\item   6,049 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 049}
\item   5,32 ~ : ~ 10 ~ = ~{\color{red} 0,532}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   906 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 060
\item   0,056 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~56
\item   0,728 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~728
\item   0,089 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,89
\item   0,048 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~48
\item   0,089 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~89
\item   3,84 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~384
\item   0,927 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~927
\item   0,135 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~13,5
\item   5,51 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~551
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,36 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,636
}\item   3,031 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,303 1
}\item   2,758 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 758
}\item   2,821 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,028 21
}\item   46,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,66
}\item   3,527 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,035 27
}\item   484,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,484 7
}\item   6,767 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,067 67
}\item   34,45 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,344 5
}\item   4,706 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,470 6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,14 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,114
\item   4,131 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,413 1
\item   1 185 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 118,5
\item   4 879 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,879
\item   50,77 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,050 77
\item   736,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,736 9
\item   88,48 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,884 8
\item   541,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,541 8
\item   8 542 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,542
\item   600,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,009
\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}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   690,01 ~kL~ = {\color{red}  69 001 }~daL
\item   5 806,3 ~cm~ = {\color{red}  0,058 063 }~km
\item   458,15 ~cg~ = {\color{red}  4,581 5 }~g
\item   7 823,2 ~L~ = {\color{red}  78 232 }~dL
\item   1 119,2 ~kL~ = {\color{red}  11 192 }~hL
\item   904,26 ~dam~ = {\color{red}  9 042,6 }~m
\item   4 776,1 ~dm~ = {\color{red}  477,61 }~m
\item   904,19 ~mm~ = {\color{red}  0,090 419 }~dam
\item   6 493 ~cL~ = {\color{red}  6,493 }~daL
\item   352,26 ~L~ = {\color{red}  3,522 6 }~hL
\end{itemize}
\end{multicols}
\end{document}
