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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{18}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,47  ~ \(\times\)  ~ 10
\item   60,7  ~ \(\times\)  ~ 10
\item   0,62  ~ \(\times\)  ~ 100
\item   960  ~ \(\times\)  ~ 100
\item   40,8  ~ \(\times\)  ~ 10
\item   0,985  ~ \(\times\)  ~ 100
\item   5,87  ~ \(\times\)  ~ 1 000
\item   97,9  ~ \(\times\)  ~ 100
\item   0,059  ~ \(\times\)  ~ 100
\item   338  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   44,96  ~ : ~ 1 000
\item   6,608  ~ : ~ 1 000
\item   16,66  ~ : ~ 1 000
\item   35,16  ~ : ~ 10
\item   4,362  ~ : ~ 10
\item   1 513  ~ : ~ 1 000
\item   4,914  ~ : ~ 10
\item   65,89  ~ : ~ 100
\item   395,3  ~ : ~ 10
\item   552,6  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   488  ~ \(\times\)  ~ ... ~ = ~ 4 880
\item   0,024  ~ \(\times\)  ~ ... ~ = ~ 0,24
\item   41  ~ \(\times\)  ~ ... ~ = ~ 410
\item   0,852  ~ \(\times\)  ~ ... ~ = ~ 852
\item   189  ~ \(\times\)  ~ ... ~ = ~ 1 890
\item   0,371  ~ \(\times\)  ~ ... ~ = ~ 37,1
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 0,51
\item   0,52  ~ \(\times\)  ~ ... ~ = ~ 520
\item   5,86  ~ \(\times\)  ~ ... ~ = ~ 5 860
\item   68,6  ~ \(\times\)  ~ ... ~ = ~ 686
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 193  ~ \(\times\)  ~ 0,1
\item   1,635  ~ \(\times\)  ~ 0,001
\item   985,7  ~ \(\times\)  ~ 0,001
\item   995  ~ \(\times\)  ~ 0,1
\item   30,58  ~ \(\times\)  ~ 0,001
\item   23,21  ~ \(\times\)  ~ 0,01
\item   4 956  ~ \(\times\)  ~ 0,01
\item   3 795  ~ \(\times\)  ~ 0,01
\item   379,3  ~ \(\times\)  ~ 0,1
\item   0,858  ~ \(\times\)  ~ 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   4 869  ~ \(\times\)  ~ ... ~ = ~  486,9
\item   496,7  ~ \(\times\)  ~ ... ~ = ~  0,496 7
\item   4,434  ~ \(\times\)  ~ ... ~ = ~  0,004 434
\item   66,15  ~ \(\times\)  ~ ... ~ = ~  6,615
\item   12,29  ~ \(\times\)  ~ ... ~ = ~  1,229
\item   1,865  ~ \(\times\)  ~ ... ~ = ~  0,018 65
\item   5,898  ~ \(\times\)  ~ ... ~ = ~  0,005 898
\item   6,559  ~ \(\times\)  ~ ... ~ = ~  0,065 59
\item   4,73  ~ \(\times\)  ~ ... ~ = ~  0,004 73
\item   771,7  ~ \(\times\)  ~ ... ~ = ~  77,17
\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 ~km~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~dm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   401,93 ~g~ = ...~mg
\item   3 025,3 ~cL~ = ...~L
\item   853,34 ~mm~ = ...~km
\item   217,69 ~g~ = ...~cg
\item   3 378 ~g~ = ...~hg
\item   242,81 ~kg~ = ...~hg
\item   405,69 ~hL~ = ...~daL
\item   165,59 ~daL~ = ...~cL
\item   2 816,1 ~dag~ = ...~kg
\item   3 326,1 ~mm~ = ...~hm
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{650}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{680}{100}\)
\item   \(\dfrac{18}{100}\) = \(\dfrac{180}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,47  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 24,7}
\item   60,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 607}
\item   0,62  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 62}
\item   960  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 96 000}
\item   40,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 408}
\item   0,985  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 98,5}
\item   5,87  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 870}
\item   97,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 790}
\item   0,059  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,9}
\item   338  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 380}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   44,96 ~ : ~ 1 000 ~ = ~{\color{red} 0,044 96}
\item   6,608 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 608}
\item   16,66 ~ : ~ 1 000 ~ = ~{\color{red} 0,016 66}
\item   35,16 ~ : ~ 10 ~ = ~{\color{red} 3,516}
\item   4,362 ~ : ~ 10 ~ = ~{\color{red} 0,436 2}
\item   1 513 ~ : ~ 1 000 ~ = ~{\color{red} 1,513}
\item   4,914 ~ : ~ 10 ~ = ~{\color{red} 0,491 4}
\item   65,89 ~ : ~ 100 ~ = ~{\color{red} 0,658 9}
\item   395,3 ~ : ~ 10 ~ = ~{\color{red} 39,53}
\item   552,6 ~ : ~ 100 ~ = ~{\color{red} 5,526}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   488 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 880
\item   0,024 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,24
\item   41 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~410
\item   0,852 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~852
\item   189 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 890
\item   0,371 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~37,1
\item   0,051 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,51
\item   0,52 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~520
\item   5,86 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 860
\item   68,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~686
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 193 ~ \(\times\)  0,1 ~ = ~{\color{red} 819,3
}\item   1,635 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 635
}\item   985,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,985 7
}\item   995 ~ \(\times\)  0,1 ~ = ~{\color{red} 99,5
}\item   30,58 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,030 58
}\item   23,21 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,232 1
}\item   4 956 ~ \(\times\)  0,01 ~ = ~{\color{red} 49,56
}\item   3 795 ~ \(\times\)  0,01 ~ = ~{\color{red} 37,95
}\item   379,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 37,93
}\item   0,858 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,085 8
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 869 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 486,9
\item   496,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,496 7
\item   4,434 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 434
\item   66,15 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,615
\item   12,29 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,229
\item   1,865 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,018 65
\item   5,898 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 898
\item   6,559 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,065 59
\item   4,73 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 73
\item   771,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 77,17
\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 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   401,93 ~g~ = {\color{red}  401 930 }~mg
\item   3 025,3 ~cL~ = {\color{red}  30,253 }~L
\item   853,34 ~mm~ = {\color{red}  0,000 853 34 }~km
\item   217,69 ~g~ = {\color{red}  21 769 }~cg
\item   3 378 ~g~ = {\color{red}  33,78 }~hg
\item   242,81 ~kg~ = {\color{red}  2 428,1 }~hg
\item   405,69 ~hL~ = {\color{red}  4 056,9 }~daL
\item   165,59 ~daL~ = {\color{red}  165 590 }~cL
\item   2 816,1 ~dag~ = {\color{red}  28,161 }~kg
\item   3 326,1 ~mm~ = {\color{red}  0,033 261 }~hm
\end{itemize}
\end{multicols}
\end{document}
