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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{90}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,7  ~ \(\times\)  ~ 1 000
\item   0,055  ~ \(\times\)  ~ 100
\item   604  ~ \(\times\)  ~ 1 000
\item   8,66  ~ \(\times\)  ~ 100
\item   731  ~ \(\times\)  ~ 10
\item   0,924  ~ \(\times\)  ~ 100
\item   0,012  ~ \(\times\)  ~ 1 000
\item   3,17  ~ \(\times\)  ~ 1 000
\item   0,898  ~ \(\times\)  ~ 1 000
\item   48  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,68  ~ : ~ 1 000
\item   5 069  ~ : ~ 10
\item   22,84  ~ : ~ 100
\item   284,6  ~ : ~ 100
\item   5 722  ~ : ~ 1 000
\item   2 387  ~ : ~ 100
\item   5 563  ~ : ~ 10
\item   7 218  ~ : ~ 100
\item   5 669  ~ : ~ 10
\item   396,3  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,5  ~ \(\times\)  ~ ... ~ = ~ 9 500
\item   0,493  ~ \(\times\)  ~ ... ~ = ~ 49,3
\item   378  ~ \(\times\)  ~ ... ~ = ~ 37 800
\item   0,044  ~ \(\times\)  ~ ... ~ = ~ 0,44
\item   78,8  ~ \(\times\)  ~ ... ~ = ~ 788
\item   0,028  ~ \(\times\)  ~ ... ~ = ~ 28
\item   0,007  ~ \(\times\)  ~ ... ~ = ~ 0,7
\item   47  ~ \(\times\)  ~ ... ~ = ~ 4 700
\item   3,72  ~ \(\times\)  ~ ... ~ = ~ 3 720
\item   870  ~ \(\times\)  ~ ... ~ = ~ 87 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   23,92  ~ \(\times\)  ~ 0,01
\item   8,435  ~ \(\times\)  ~ 0,01
\item   44,3  ~ \(\times\)  ~ 0,1
\item   201,5  ~ \(\times\)  ~ 0,001
\item   4,562  ~ \(\times\)  ~ 0,1
\item   7 270  ~ \(\times\)  ~ 0,01
\item   7,138  ~ \(\times\)  ~ 0,1
\item   766,6  ~ \(\times\)  ~ 0,1
\item   9,615  ~ \(\times\)  ~ 0,1
\item   11,13  ~ \(\times\)  ~ 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   7,35  ~ \(\times\)  ~ ... ~ = ~  0,007 35
\item   20,73  ~ \(\times\)  ~ ... ~ = ~  0,207 3
\item   58,17  ~ \(\times\)  ~ ... ~ = ~  5,817
\item   812  ~ \(\times\)  ~ ... ~ = ~  81,2
\item   0,383  ~ \(\times\)  ~ ... ~ = ~  0,000 383
\item   589,2  ~ \(\times\)  ~ ... ~ = ~  58,92
\item   8,83  ~ \(\times\)  ~ ... ~ = ~  0,883
\item   77,55  ~ \(\times\)  ~ ... ~ = ~  0,775 5
\item   58,67  ~ \(\times\)  ~ ... ~ = ~  5,867
\item   239,1  ~ \(\times\)  ~ ... ~ = ~  0,239 1
\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 ~hm~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   563,77 ~mm~ = ...~km
\item   238,13 ~cm~ = ...~m
\item   6 784,9 ~cL~ = ...~L
\item   629,53 ~dam~ = ...~m
\item   8 678,3 ~dm~ = ...~km
\item   421,53 ~m~ = ...~cm
\item   9 780,7 ~cL~ = ...~kL
\item   8 080,4 ~kL~ = ...~hL
\item   921,21 ~cm~ = ...~dam
\item   1 653,1 ~dam~ = ...~dm
\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   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{5400}{100}\) = \(\dfrac{540}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{910}{100}\)
\item   \(\dfrac{90}{100}\) = \(\dfrac{900}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 700}
\item   0,055  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,5}
\item   604  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 604 000}
\item   8,66  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 866}
\item   731  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 310}
\item   0,924  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 92,4}
\item   0,012  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 12}
\item   3,17  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 170}
\item   0,898  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 898}
\item   48  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 800}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,68 ~ : ~ 1 000 ~ = ~{\color{red} 0,037 68}
\item   5 069 ~ : ~ 10 ~ = ~{\color{red} 506,9}
\item   22,84 ~ : ~ 100 ~ = ~{\color{red} 0,228 4}
\item   284,6 ~ : ~ 100 ~ = ~{\color{red} 2,846}
\item   5 722 ~ : ~ 1 000 ~ = ~{\color{red} 5,722}
\item   2 387 ~ : ~ 100 ~ = ~{\color{red} 23,87}
\item   5 563 ~ : ~ 10 ~ = ~{\color{red} 556,3}
\item   7 218 ~ : ~ 100 ~ = ~{\color{red} 72,18}
\item   5 669 ~ : ~ 10 ~ = ~{\color{red} 566,9}
\item   396,3 ~ : ~ 100 ~ = ~{\color{red} 3,963}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 500
\item   0,493 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~49,3
\item   378 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~37 800
\item   0,044 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,44
\item   78,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~788
\item   0,028 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~28
\item   0,007 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,7
\item   47 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 700
\item   3,72 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 720
\item   870 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~87 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   23,92 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,239 2
}\item   8,435 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,084 35
}\item   44,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,43
}\item   201,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,201 5
}\item   4,562 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,456 2
}\item   7 270 ~ \(\times\)  0,01 ~ = ~{\color{red} 72,7
}\item   7,138 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,713 8
}\item   766,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 76,66
}\item   9,615 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,961 5
}\item   11,13 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,111 3
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 35
\item   20,73 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,207 3
\item   58,17 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,817
\item   812 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 81,2
\item   0,383 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 383
\item   589,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 58,92
\item   8,83 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,883
\item   77,55 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,775 5
\item   58,67 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,867
\item   239,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,239 1
\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 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   563,77 ~mm~ = {\color{red}  0,000 563 77 }~km
\item   238,13 ~cm~ = {\color{red}  2,381 3 }~m
\item   6 784,9 ~cL~ = {\color{red}  67,849 }~L
\item   629,53 ~dam~ = {\color{red}  6 295,3 }~m
\item   8 678,3 ~dm~ = {\color{red}  0,867 83 }~km
\item   421,53 ~m~ = {\color{red}  42 153 }~cm
\item   9 780,7 ~cL~ = {\color{red}  0,097 807 }~kL
\item   8 080,4 ~kL~ = {\color{red}  80 804 }~hL
\item   921,21 ~cm~ = {\color{red}  0,921 21 }~dam
\item   1 653,1 ~dam~ = {\color{red}  165 310 }~dm
\end{itemize}
\end{multicols}
\end{document}
