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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{56}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,956  ~ \(\times\)  ~ 100
\item   0,584  ~ \(\times\)  ~ 10
\item   595  ~ \(\times\)  ~ 100
\item   9,2  ~ \(\times\)  ~ 1 000
\item   909  ~ \(\times\)  ~ 100
\item   0,001  ~ \(\times\)  ~ 10
\item   86,4  ~ \(\times\)  ~ 1 000
\item   4,62  ~ \(\times\)  ~ 100
\item   356  ~ \(\times\)  ~ 10
\item   0,812  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,989  ~ : ~ 1 000
\item   7,077  ~ : ~ 1 000
\item   79,43  ~ : ~ 100
\item   0,131  ~ : ~ 10
\item   6,633  ~ : ~ 100
\item   6 896  ~ : ~ 100
\item   556,6  ~ : ~ 1 000
\item   7,455  ~ : ~ 100
\item   303,7  ~ : ~ 1 000
\item   50,95  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,67  ~ \(\times\)  ~ ... ~ = ~ 46,7
\item   1,99  ~ \(\times\)  ~ ... ~ = ~ 1 990
\item   0,013  ~ \(\times\)  ~ ... ~ = ~ 13
\item   0,004  ~ \(\times\)  ~ ... ~ = ~ 0,4
\item   95,9  ~ \(\times\)  ~ ... ~ = ~ 9 590
\item   2,93  ~ \(\times\)  ~ ... ~ = ~ 29,3
\item   402  ~ \(\times\)  ~ ... ~ = ~ 4 020
\item   1,3  ~ \(\times\)  ~ ... ~ = ~ 1 300
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 0,52
\item   7,02  ~ \(\times\)  ~ ... ~ = ~ 702
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13  ~ \(\times\)  ~ 0,001
\item   2,705  ~ \(\times\)  ~ 0,001
\item   4 013  ~ \(\times\)  ~ 0,001
\item   509,4  ~ \(\times\)  ~ 0,1
\item   3 047  ~ \(\times\)  ~ 0,001
\item   693,4  ~ \(\times\)  ~ 0,001
\item   4 618  ~ \(\times\)  ~ 0,01
\item   649,8  ~ \(\times\)  ~ 0,001
\item   87,28  ~ \(\times\)  ~ 0,001
\item   7 765  ~ \(\times\)  ~ 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   86,64  ~ \(\times\)  ~ ... ~ = ~  8,664
\item   8,532  ~ \(\times\)  ~ ... ~ = ~  0,853 2
\item   3 170  ~ \(\times\)  ~ ... ~ = ~  31,7
\item   428,9  ~ \(\times\)  ~ ... ~ = ~  0,428 9
\item   666,5  ~ \(\times\)  ~ ... ~ = ~  66,65
\item   16,86  ~ \(\times\)  ~ ... ~ = ~  0,016 86
\item   545,4  ~ \(\times\)  ~ ... ~ = ~  54,54
\item   266,3  ~ \(\times\)  ~ ... ~ = ~  2,663
\item   4 926  ~ \(\times\)  ~ ... ~ = ~  49,26
\item   942,3  ~ \(\times\)  ~ ... ~ = ~  9,423
\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~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 985,3 ~daL~ = ...~kL
\item   9 877,6 ~hm~ = ...~km
\item   239,41 ~m~ = ...~dm
\item   203,27 ~m~ = ...~cm
\item   624,79 ~hg~ = ...~dg
\item   5 431,8 ~km~ = ...~cm
\item   589,48 ~kg~ = ...~g
\item   2 132,6 ~dL~ = ...~kL
\item   5 465 ~dag~ = ...~cg
\item   576,51 ~cL~ = ...~kL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{3800}{100}\) = \(\dfrac{380}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{56}{10}\) = \(\dfrac{560}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{170}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,956  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 95,6}
\item   0,584  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,84}
\item   595  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 59 500}
\item   9,2  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 200}
\item   909  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 90 900}
\item   0,001  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,01}
\item   86,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 86 400}
\item   4,62  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 462}
\item   356  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 560}
\item   0,812  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 812}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,989 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 989}
\item   7,077 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 077}
\item   79,43 ~ : ~ 100 ~ = ~{\color{red} 0,794 3}
\item   0,131 ~ : ~ 10 ~ = ~{\color{red} 0,013 1}
\item   6,633 ~ : ~ 100 ~ = ~{\color{red} 0,066 33}
\item   6 896 ~ : ~ 100 ~ = ~{\color{red} 68,96}
\item   556,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,556 6}
\item   7,455 ~ : ~ 100 ~ = ~{\color{red} 0,074 55}
\item   303,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,303 7}
\item   50,95 ~ : ~ 10 ~ = ~{\color{red} 5,095}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,67 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~46,7
\item   1,99 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 990
\item   0,013 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~13
\item   0,004 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,4
\item   95,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 590
\item   2,93 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~29,3
\item   402 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 020
\item   1,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 300
\item   0,052 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,52
\item   7,02 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~702
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,013
}\item   2,705 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 705
}\item   4 013 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,013
}\item   509,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 50,94
}\item   3 047 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,047
}\item   693,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,693 4
}\item   4 618 ~ \(\times\)  0,01 ~ = ~{\color{red} 46,18
}\item   649,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,649 8
}\item   87,28 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,087 28
}\item   7 765 ~ \(\times\)  0,01 ~ = ~{\color{red} 77,65
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   86,64 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,664
\item   8,532 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,853 2
\item   3 170 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 31,7
\item   428,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,428 9
\item   666,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 66,65
\item   16,86 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,016 86
\item   545,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 54,54
\item   266,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,663
\item   4 926 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 49,26
\item   942,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,423
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 985,3 ~daL~ = {\color{red}  69,853 }~kL
\item   9 877,6 ~hm~ = {\color{red}  987,76 }~km
\item   239,41 ~m~ = {\color{red}  2 394,1 }~dm
\item   203,27 ~m~ = {\color{red}  20 327 }~cm
\item   624,79 ~hg~ = {\color{red}  624 790 }~dg
\item   5 431,8 ~km~ = {\color{red}  543 180 000 }~cm
\item   589,48 ~kg~ = {\color{red}  589 480 }~g
\item   2 132,6 ~dL~ = {\color{red}  0,213 26 }~kL
\item   5 465 ~dag~ = {\color{red}  5 465 000 }~cg
\item   576,51 ~cL~ = {\color{red}  0,005 765 1 }~kL
\end{itemize}
\end{multicols}
\end{document}
