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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{53}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{41}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,211  ~ \(\times\)  ~ 1 000
\item   51,4  ~ \(\times\)  ~ 100
\item   0,311  ~ \(\times\)  ~ 100
\item   2,09  ~ \(\times\)  ~ 1 000
\item   1,29  ~ \(\times\)  ~ 1 000
\item   70  ~ \(\times\)  ~ 10
\item   18,2  ~ \(\times\)  ~ 10
\item   7,61  ~ \(\times\)  ~ 1 000
\item   52,8  ~ \(\times\)  ~ 1 000
\item   0,922  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,98  ~ : ~ 10
\item   5,716  ~ : ~ 10
\item   67,51  ~ : ~ 1 000
\item   94,92  ~ : ~ 100
\item   5 068  ~ : ~ 100
\item   792,2  ~ : ~ 100
\item   272,6  ~ : ~ 10
\item   726  ~ : ~ 100
\item   8,513  ~ : ~ 1 000
\item   175,9  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,027  ~ \(\times\)  ~ ... ~ = ~ 2,7
\item   0,082  ~ \(\times\)  ~ ... ~ = ~ 8,2
\item   0,099  ~ \(\times\)  ~ ... ~ = ~ 0,99
\item   49,8  ~ \(\times\)  ~ ... ~ = ~ 4 980
\item   8,9  ~ \(\times\)  ~ ... ~ = ~ 8 900
\item   0,01  ~ \(\times\)  ~ ... ~ = ~ 1
\item   0,217  ~ \(\times\)  ~ ... ~ = ~ 217
\item   0,085  ~ \(\times\)  ~ ... ~ = ~ 85
\item   0,079  ~ \(\times\)  ~ ... ~ = ~ 0,79
\item   145  ~ \(\times\)  ~ ... ~ = ~ 14 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,657  ~ \(\times\)  ~ 0,1
\item   6,414  ~ \(\times\)  ~ 0,1
\item   4,539  ~ \(\times\)  ~ 0,001
\item   600,9  ~ \(\times\)  ~ 0,01
\item   56,46  ~ \(\times\)  ~ 0,1
\item   7 210  ~ \(\times\)  ~ 0,001
\item   704,1  ~ \(\times\)  ~ 0,1
\item   7 086  ~ \(\times\)  ~ 0,001
\item   9,214  ~ \(\times\)  ~ 0,001
\item   1 759  ~ \(\times\)  ~ 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   4,317  ~ \(\times\)  ~ ... ~ = ~  0,004 317
\item   6,718  ~ \(\times\)  ~ ... ~ = ~  0,006 718
\item   9,249  ~ \(\times\)  ~ ... ~ = ~  0,092 49
\item   257,2  ~ \(\times\)  ~ ... ~ = ~  25,72
\item   29,82  ~ \(\times\)  ~ ... ~ = ~  0,029 82
\item   4,965  ~ \(\times\)  ~ ... ~ = ~  0,496 5
\item   16,35  ~ \(\times\)  ~ ... ~ = ~  0,016 35
\item   302,6  ~ \(\times\)  ~ ... ~ = ~  30,26
\item   4 397  ~ \(\times\)  ~ ... ~ = ~  439,7
\item   947,7  ~ \(\times\)  ~ ... ~ = ~  94,77
\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 ~dm~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   450,16 ~cm~ = ...~mm
\item   7 989,2 ~hL~ = ...~daL
\item   835,9 ~km~ = ...~cm
\item   8 524,2 ~cL~ = ...~L
\item   753,83 ~cm~ = ...~dam
\item   5 160,2 ~mm~ = ...~dam
\item   2 852,2 ~km~ = ...~m
\item   557,44 ~dam~ = ...~hm
\item   1 382,4 ~m~ = ...~hm
\item   8 830,5 ~daL~ = ...~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   3 = \(\dfrac{30}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{9500}{100}\) = \(\dfrac{950}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{53}{10}\) = \(\dfrac{530}{100}\)
\item   \(\dfrac{41}{100}\) = \(\dfrac{410}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,211  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 211}
\item   51,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 140}
\item   0,311  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 31,1}
\item   2,09  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 090}
\item   1,29  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 290}
\item   70  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 700}
\item   18,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 182}
\item   7,61  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 610}
\item   52,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 52 800}
\item   0,922  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,22}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,98 ~ : ~ 10 ~ = ~{\color{red} 4,998}
\item   5,716 ~ : ~ 10 ~ = ~{\color{red} 0,571 6}
\item   67,51 ~ : ~ 1 000 ~ = ~{\color{red} 0,067 51}
\item   94,92 ~ : ~ 100 ~ = ~{\color{red} 0,949 2}
\item   5 068 ~ : ~ 100 ~ = ~{\color{red} 50,68}
\item   792,2 ~ : ~ 100 ~ = ~{\color{red} 7,922}
\item   272,6 ~ : ~ 10 ~ = ~{\color{red} 27,26}
\item   726 ~ : ~ 100 ~ = ~{\color{red} 7,26}
\item   8,513 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 513}
\item   175,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,175 9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,027 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,7
\item   0,082 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,2
\item   0,099 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,99
\item   49,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 980
\item   8,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 900
\item   0,01 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1
\item   0,217 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~217
\item   0,085 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~85
\item   0,079 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,79
\item   145 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~14 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,657 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,665 7
}\item   6,414 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,641 4
}\item   4,539 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 539
}\item   600,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,009
}\item   56,46 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,646
}\item   7 210 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,21
}\item   704,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 70,41
}\item   7 086 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,086
}\item   9,214 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 214
}\item   1 759 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,759
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,317 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 317
\item   6,718 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 718
\item   9,249 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,092 49
\item   257,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 25,72
\item   29,82 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,029 82
\item   4,965 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,496 5
\item   16,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,016 35
\item   302,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 30,26
\item   4 397 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 439,7
\item   947,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 94,77
\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 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   450,16 ~cm~ = {\color{red}  4 501,6 }~mm
\item   7 989,2 ~hL~ = {\color{red}  79 892 }~daL
\item   835,9 ~km~ = {\color{red}  83 590 000 }~cm
\item   8 524,2 ~cL~ = {\color{red}  85,242 }~L
\item   753,83 ~cm~ = {\color{red}  0,753 83 }~dam
\item   5 160,2 ~mm~ = {\color{red}  0,516 02 }~dam
\item   2 852,2 ~km~ = {\color{red}  2 852 200 }~m
\item   557,44 ~dam~ = {\color{red}  55,744 }~hm
\item   1 382,4 ~m~ = {\color{red}  13,824 }~hm
\item   8 830,5 ~daL~ = {\color{red}  88 305 }~L
\end{itemize}
\end{multicols}
\end{document}
