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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{75}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,023  ~ \(\times\)  ~ 10
\item   9,48  ~ \(\times\)  ~ 100
\item   71,8  ~ \(\times\)  ~ 100
\item   457  ~ \(\times\)  ~ 100
\item   20,6  ~ \(\times\)  ~ 10
\item   0,046  ~ \(\times\)  ~ 100
\item   0,205  ~ \(\times\)  ~ 100
\item   0,253  ~ \(\times\)  ~ 100
\item   222  ~ \(\times\)  ~ 100
\item   4,87  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,16  ~ : ~ 1 000
\item   4,48  ~ : ~ 100
\item   3,854  ~ : ~ 10
\item   6,729  ~ : ~ 10
\item   770,4  ~ : ~ 1 000
\item   16,52  ~ : ~ 10
\item   61,77  ~ : ~ 10
\item   439,4  ~ : ~ 10
\item   717,5  ~ : ~ 100
\item   117,8  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,1  ~ \(\times\)  ~ ... ~ = ~ 7 100
\item   0,591  ~ \(\times\)  ~ ... ~ = ~ 5,91
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 5,2
\item   89,8  ~ \(\times\)  ~ ... ~ = ~ 89 800
\item   552  ~ \(\times\)  ~ ... ~ = ~ 5 520
\item   76  ~ \(\times\)  ~ ... ~ = ~ 76 000
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 36
\item   0,905  ~ \(\times\)  ~ ... ~ = ~ 9,05
\item   0,07  ~ \(\times\)  ~ ... ~ = ~ 70
\item   0,837  ~ \(\times\)  ~ ... ~ = ~ 837
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   239,9  ~ \(\times\)  ~ 0,1
\item   9,068  ~ \(\times\)  ~ 0,1
\item   143,1  ~ \(\times\)  ~ 0,01
\item   5,631  ~ \(\times\)  ~ 0,1
\item   10,77  ~ \(\times\)  ~ 0,01
\item   104,2  ~ \(\times\)  ~ 0,01
\item   5 467  ~ \(\times\)  ~ 0,01
\item   26,24  ~ \(\times\)  ~ 0,01
\item   3,45  ~ \(\times\)  ~ 0,1
\item   86,92  ~ \(\times\)  ~ 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   16,67  ~ \(\times\)  ~ ... ~ = ~  0,016 67
\item   2 985  ~ \(\times\)  ~ ... ~ = ~  298,5
\item   6,58  ~ \(\times\)  ~ ... ~ = ~  0,006 58
\item   9 429  ~ \(\times\)  ~ ... ~ = ~  94,29
\item   40,08  ~ \(\times\)  ~ ... ~ = ~  0,400 8
\item   33,08  ~ \(\times\)  ~ ... ~ = ~  0,330 8
\item   40,4  ~ \(\times\)  ~ ... ~ = ~  0,404
\item   57,62  ~ \(\times\)  ~ ... ~ = ~  0,576 2
\item   6 667  ~ \(\times\)  ~ ... ~ = ~  6,667
\item   3 712  ~ \(\times\)  ~ ... ~ = ~  371,2
\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 ~m~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   977,64 ~dam~ = ...~cm
\item   4 298,7 ~mg~ = ...~hg
\item   289,92 ~dm~ = ...~m
\item   1 606,7 ~g~ = ...~dag
\item   3 459,4 ~daL~ = ...~kL
\item   355,34 ~dam~ = ...~dm
\item   5 553,9 ~hg~ = ...~mg
\item   5 809,6 ~hL~ = ...~cL
\item   857,51 ~hL~ = ...~mL
\item   667,67 ~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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{7000}{100}\) = \(\dfrac{700}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{950}{100}\)
\item   \(\dfrac{75}{100}\) = \(\dfrac{750}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,023  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,23}
\item   9,48  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 948}
\item   71,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 180}
\item   457  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 45 700}
\item   20,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 206}
\item   0,046  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,6}
\item   0,205  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 20,5}
\item   0,253  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 25,3}
\item   222  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 22 200}
\item   4,87  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 48,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,16 ~ : ~ 1 000 ~ = ~{\color{red} 0,019 16}
\item   4,48 ~ : ~ 100 ~ = ~{\color{red} 0,044 8}
\item   3,854 ~ : ~ 10 ~ = ~{\color{red} 0,385 4}
\item   6,729 ~ : ~ 10 ~ = ~{\color{red} 0,672 9}
\item   770,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,770 4}
\item   16,52 ~ : ~ 10 ~ = ~{\color{red} 1,652}
\item   61,77 ~ : ~ 10 ~ = ~{\color{red} 6,177}
\item   439,4 ~ : ~ 10 ~ = ~{\color{red} 43,94}
\item   717,5 ~ : ~ 100 ~ = ~{\color{red} 7,175}
\item   117,8 ~ : ~ 100 ~ = ~{\color{red} 1,178}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 100
\item   0,591 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,91
\item   0,052 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,2
\item   89,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~89 800
\item   552 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 520
\item   76 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 000
\item   0,036 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~36
\item   0,905 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,05
\item   0,07 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~70
\item   0,837 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~837
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   239,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 23,99
}\item   9,068 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,906 8
}\item   143,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,431
}\item   5,631 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,563 1
}\item   10,77 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,107 7
}\item   104,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,042
}\item   5 467 ~ \(\times\)  0,01 ~ = ~{\color{red} 54,67
}\item   26,24 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,262 4
}\item   3,45 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,345
}\item   86,92 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,692
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   16,67 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,016 67
\item   2 985 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 298,5
\item   6,58 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 58
\item   9 429 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 94,29
\item   40,08 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,400 8
\item   33,08 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,330 8
\item   40,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,404
\item   57,62 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,576 2
\item   6 667 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,667
\item   3 712 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 371,2
\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 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\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   977,64 ~dam~ = {\color{red}  977 640 }~cm
\item   4 298,7 ~mg~ = {\color{red}  0,042 987 }~hg
\item   289,92 ~dm~ = {\color{red}  28,992 }~m
\item   1 606,7 ~g~ = {\color{red}  160,67 }~dag
\item   3 459,4 ~daL~ = {\color{red}  34,594 }~kL
\item   355,34 ~dam~ = {\color{red}  35 534 }~dm
\item   5 553,9 ~hg~ = {\color{red}  555 390 000 }~mg
\item   5 809,6 ~hL~ = {\color{red}  58 096 000 }~cL
\item   857,51 ~hL~ = {\color{red}  85 751 000 }~mL
\item   667,67 ~hL~ = {\color{red}  66 767 }~L
\end{itemize}
\end{multicols}
\end{document}
