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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,8  ~ \(\times\)  ~ 100
\item   0,066  ~ \(\times\)  ~ 100
\item   0,065  ~ \(\times\)  ~ 1 000
\item   0,092  ~ \(\times\)  ~ 100
\item   77  ~ \(\times\)  ~ 10
\item   3,06  ~ \(\times\)  ~ 10
\item   0,941  ~ \(\times\)  ~ 10
\item   0,042  ~ \(\times\)  ~ 100
\item   0,869  ~ \(\times\)  ~ 100
\item   5,14  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,803  ~ : ~ 1 000
\item   51,45  ~ : ~ 10
\item   9 373  ~ : ~ 10
\item   932,1  ~ : ~ 10
\item   1,338  ~ : ~ 100
\item   7,398  ~ : ~ 100
\item   9,4  ~ : ~ 100
\item   0,747  ~ : ~ 1 000
\item   2,412  ~ : ~ 10
\item   7,194  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,89  ~ \(\times\)  ~ ... ~ = ~ 289
\item   0,835  ~ \(\times\)  ~ ... ~ = ~ 835
\item   43,1  ~ \(\times\)  ~ ... ~ = ~ 431
\item   44,1  ~ \(\times\)  ~ ... ~ = ~ 44 100
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 0,3
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 9,4
\item   0,57  ~ \(\times\)  ~ ... ~ = ~ 5,7
\item   56,8  ~ \(\times\)  ~ ... ~ = ~ 56 800
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 0,9
\item   783  ~ \(\times\)  ~ ... ~ = ~ 783 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 240  ~ \(\times\)  ~ 0,1
\item   4,82  ~ \(\times\)  ~ 0,01
\item   3 335  ~ \(\times\)  ~ 0,1
\item   987,5  ~ \(\times\)  ~ 0,01
\item   3 005  ~ \(\times\)  ~ 0,001
\item   7,755  ~ \(\times\)  ~ 0,001
\item   4 342  ~ \(\times\)  ~ 0,1
\item   8 139  ~ \(\times\)  ~ 0,001
\item   466  ~ \(\times\)  ~ 0,001
\item   2,798  ~ \(\times\)  ~ 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   1,567  ~ \(\times\)  ~ ... ~ = ~  0,015 67
\item   7 210  ~ \(\times\)  ~ ... ~ = ~  7,21
\item   6,6  ~ \(\times\)  ~ ... ~ = ~  0,006 6
\item   532,3  ~ \(\times\)  ~ ... ~ = ~  53,23
\item   889,7  ~ \(\times\)  ~ ... ~ = ~  0,889 7
\item   565  ~ \(\times\)  ~ ... ~ = ~  56,5
\item   5,78  ~ \(\times\)  ~ ... ~ = ~  0,578
\item   7,56  ~ \(\times\)  ~ ... ~ = ~  0,756
\item   685,1  ~ \(\times\)  ~ ... ~ = ~  68,51
\item   38,05  ~ \(\times\)  ~ ... ~ = ~  0,038 05
\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~ = ...~m
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 589,9 ~mL~ = ...~L
\item   4 107,6 ~mg~ = ...~cg
\item   9 452,7 ~dL~ = ...~mL
\item   8 562,6 ~kL~ = ...~mL
\item   762,44 ~hL~ = ...~dL
\item   9 517,4 ~dam~ = ...~mm
\item   169,33 ~kL~ = ...~cL
\item   172,77 ~dL~ = ...~kL
\item   823,78 ~dm~ = ...~dam
\item   124,98 ~hL~ = ...~L
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{760}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{280}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{720}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 380}
\item   0,066  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,6}
\item   0,065  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 65}
\item   0,092  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,2}
\item   77  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 770}
\item   3,06  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 30,6}
\item   0,941  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,41}
\item   0,042  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,2}
\item   0,869  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 86,9}
\item   5,14  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 140}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,803 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 803}
\item   51,45 ~ : ~ 10 ~ = ~{\color{red} 5,145}
\item   9 373 ~ : ~ 10 ~ = ~{\color{red} 937,3}
\item   932,1 ~ : ~ 10 ~ = ~{\color{red} 93,21}
\item   1,338 ~ : ~ 100 ~ = ~{\color{red} 0,013 38}
\item   7,398 ~ : ~ 100 ~ = ~{\color{red} 0,073 98}
\item   9,4 ~ : ~ 100 ~ = ~{\color{red} 0,094}
\item   0,747 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 747}
\item   2,412 ~ : ~ 10 ~ = ~{\color{red} 0,241 2}
\item   7,194 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 194}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,89 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~289
\item   0,835 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~835
\item   43,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~431
\item   44,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~44 100
\item   0,03 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,3
\item   0,094 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,4
\item   0,57 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,7
\item   56,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~56 800
\item   0,09 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,9
\item   783 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~783 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 240 ~ \(\times\)  0,1 ~ = ~{\color{red} 124
}\item   4,82 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,048 2
}\item   3 335 ~ \(\times\)  0,1 ~ = ~{\color{red} 333,5
}\item   987,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,875
}\item   3 005 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,005
}\item   7,755 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 755
}\item   4 342 ~ \(\times\)  0,1 ~ = ~{\color{red} 434,2
}\item   8 139 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,139
}\item   466 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,466
}\item   2,798 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,027 98
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,567 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,015 67
\item   7 210 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,21
\item   6,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 6
\item   532,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 53,23
\item   889,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,889 7
\item   565 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 56,5
\item   5,78 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,578
\item   7,56 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,756
\item   685,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 68,51
\item   38,05 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,038 05
\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~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 589,9 ~mL~ = {\color{red}  6,589 9 }~L
\item   4 107,6 ~mg~ = {\color{red}  410,76 }~cg
\item   9 452,7 ~dL~ = {\color{red}  945 270 }~mL
\item   8 562,6 ~kL~ = {\color{red}  8 562 600 000 }~mL
\item   762,44 ~hL~ = {\color{red}  762 440 }~dL
\item   9 517,4 ~dam~ = {\color{red}  95 174 000 }~mm
\item   169,33 ~kL~ = {\color{red}  16 933 000 }~cL
\item   172,77 ~dL~ = {\color{red}  0,017 277 }~kL
\item   823,78 ~dm~ = {\color{red}  8,237 8 }~dam
\item   124,98 ~hL~ = {\color{red}  12 498 }~L
\end{itemize}
\end{multicols}
\end{document}
