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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{37}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{70}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,841  ~ \(\times\)  ~ 100
\item   67,8  ~ \(\times\)  ~ 10
\item   0,542  ~ \(\times\)  ~ 100
\item   8,6  ~ \(\times\)  ~ 1 000
\item   378  ~ \(\times\)  ~ 100
\item   88,9  ~ \(\times\)  ~ 1 000
\item   0,372  ~ \(\times\)  ~ 100
\item   2,99  ~ \(\times\)  ~ 100
\item   1,87  ~ \(\times\)  ~ 1 000
\item   38  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,023  ~ : ~ 1 000
\item   6 248  ~ : ~ 1 000
\item   16,7  ~ : ~ 10
\item   32,95  ~ : ~ 1 000
\item   609,9  ~ : ~ 100
\item   9,095  ~ : ~ 100
\item   7 801  ~ : ~ 1 000
\item   96,78  ~ : ~ 1 000
\item   266,3  ~ : ~ 100
\item   4 006  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,17  ~ \(\times\)  ~ ... ~ = ~ 5 170
\item   682  ~ \(\times\)  ~ ... ~ = ~ 682 000
\item   955  ~ \(\times\)  ~ ... ~ = ~ 9 550
\item   0,04  ~ \(\times\)  ~ ... ~ = ~ 4
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 0,94
\item   124  ~ \(\times\)  ~ ... ~ = ~ 12 400
\item   17,9  ~ \(\times\)  ~ ... ~ = ~ 1 790
\item   0,452  ~ \(\times\)  ~ ... ~ = ~ 45,2
\item   2,6  ~ \(\times\)  ~ ... ~ = ~ 26
\item   0,064  ~ \(\times\)  ~ ... ~ = ~ 0,64
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   20,58  ~ \(\times\)  ~ 0,01
\item   505,8  ~ \(\times\)  ~ 0,001
\item   295,6  ~ \(\times\)  ~ 0,01
\item   57,95  ~ \(\times\)  ~ 0,01
\item   3 765  ~ \(\times\)  ~ 0,001
\item   8,16  ~ \(\times\)  ~ 0,01
\item   4 076  ~ \(\times\)  ~ 0,01
\item   7,441  ~ \(\times\)  ~ 0,001
\item   2,693  ~ \(\times\)  ~ 0,01
\item   40,56  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,007  ~ \(\times\)  ~ ... ~ = ~  0,800 7
\item   2,825  ~ \(\times\)  ~ ... ~ = ~  0,002 825
\item   7,661  ~ \(\times\)  ~ ... ~ = ~  0,766 1
\item   69,89  ~ \(\times\)  ~ ... ~ = ~  0,069 89
\item   6,455  ~ \(\times\)  ~ ... ~ = ~  0,006 455
\item   2,817  ~ \(\times\)  ~ ... ~ = ~  0,281 7
\item   6 903  ~ \(\times\)  ~ ... ~ = ~  690,3
\item   7 286  ~ \(\times\)  ~ ... ~ = ~  728,6
\item   5 829  ~ \(\times\)  ~ ... ~ = ~  582,9
\item   1,882  ~ \(\times\)  ~ ... ~ = ~  0,018 82
\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~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 545,7 ~dL~ = ...~mL
\item   929,17 ~dL~ = ...~hL
\item   207,93 ~cg~ = ...~dg
\item   857,6 ~mg~ = ...~cg
\item   779,95 ~kL~ = ...~dL
\item   8 713,2 ~dm~ = ...~hm
\item   2 725,7 ~L~ = ...~daL
\item   6 422,8 ~dg~ = ...~cg
\item   686,83 ~hm~ = ...~cm
\item   6 978,1 ~hg~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{720}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{37}{10}\) = \(\dfrac{370}{100}\)
\item   \(\dfrac{70}{100}\) = \(\dfrac{700}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,841  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 84,1}
\item   67,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 678}
\item   0,542  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 54,2}
\item   8,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 600}
\item   378  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 37 800}
\item   88,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 88 900}
\item   0,372  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 37,2}
\item   2,99  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 299}
\item   1,87  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 870}
\item   38  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 800}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,023 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 023}
\item   6 248 ~ : ~ 1 000 ~ = ~{\color{red} 6,248}
\item   16,7 ~ : ~ 10 ~ = ~{\color{red} 1,67}
\item   32,95 ~ : ~ 1 000 ~ = ~{\color{red} 0,032 95}
\item   609,9 ~ : ~ 100 ~ = ~{\color{red} 6,099}
\item   9,095 ~ : ~ 100 ~ = ~{\color{red} 0,090 95}
\item   7 801 ~ : ~ 1 000 ~ = ~{\color{red} 7,801}
\item   96,78 ~ : ~ 1 000 ~ = ~{\color{red} 0,096 78}
\item   266,3 ~ : ~ 100 ~ = ~{\color{red} 2,663}
\item   4 006 ~ : ~ 10 ~ = ~{\color{red} 400,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,17 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 170
\item   682 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~682 000
\item   955 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 550
\item   0,04 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4
\item   0,094 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,94
\item   124 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~12 400
\item   17,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 790
\item   0,452 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~45,2
\item   2,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~26
\item   0,064 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,64
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   20,58 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,205 8
}\item   505,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,505 8
}\item   295,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,956
}\item   57,95 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,579 5
}\item   3 765 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,765
}\item   8,16 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,081 6
}\item   4 076 ~ \(\times\)  0,01 ~ = ~{\color{red} 40,76
}\item   7,441 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 441
}\item   2,693 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,026 93
}\item   40,56 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,040 56
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,007 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,800 7
\item   2,825 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 825
\item   7,661 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,766 1
\item   69,89 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,069 89
\item   6,455 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 455
\item   2,817 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,281 7
\item   6 903 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 690,3
\item   7 286 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 728,6
\item   5 829 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 582,9
\item   1,882 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,018 82
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 545,7 ~dL~ = {\color{red}  354 570 }~mL
\item   929,17 ~dL~ = {\color{red}  0,929 17 }~hL
\item   207,93 ~cg~ = {\color{red}  20,793 }~dg
\item   857,6 ~mg~ = {\color{red}  85,76 }~cg
\item   779,95 ~kL~ = {\color{red}  7 799 500 }~dL
\item   8 713,2 ~dm~ = {\color{red}  8,713 2 }~hm
\item   2 725,7 ~L~ = {\color{red}  272,57 }~daL
\item   6 422,8 ~dg~ = {\color{red}  64 228 }~cg
\item   686,83 ~hm~ = {\color{red}  6 868 300 }~cm
\item   6 978,1 ~hg~ = {\color{red}  69 781 000 }~cg
\end{itemize}
\end{multicols}
\end{document}
