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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{26}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{78}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,18  ~ \(\times\)  ~ 1 000
\item   0,284  ~ \(\times\)  ~ 1 000
\item   223  ~ \(\times\)  ~ 1 000
\item   1  ~ \(\times\)  ~ 100
\item   723  ~ \(\times\)  ~ 10
\item   45,8  ~ \(\times\)  ~ 10
\item   0,082  ~ \(\times\)  ~ 10
\item   3,29  ~ \(\times\)  ~ 1 000
\item   0,055  ~ \(\times\)  ~ 10
\item   59,6  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,054  ~ : ~ 1 000
\item   81,94  ~ : ~ 1 000
\item   4,655  ~ : ~ 10
\item   683,6  ~ : ~ 100
\item   3 255  ~ : ~ 10
\item   882  ~ : ~ 100
\item   5,093  ~ : ~ 100
\item   9,046  ~ : ~ 10
\item   7,976  ~ : ~ 10
\item   943,4  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,944  ~ \(\times\)  ~ ... ~ = ~ 94,4
\item   0,979  ~ \(\times\)  ~ ... ~ = ~ 9,79
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 0,52
\item   0,955  ~ \(\times\)  ~ ... ~ = ~ 955
\item   0,038  ~ \(\times\)  ~ ... ~ = ~ 0,38
\item   110  ~ \(\times\)  ~ ... ~ = ~ 110 000
\item   0,095  ~ \(\times\)  ~ ... ~ = ~ 0,95
\item   5,41  ~ \(\times\)  ~ ... ~ = ~ 541
\item   0,079  ~ \(\times\)  ~ ... ~ = ~ 79
\item   2,89  ~ \(\times\)  ~ ... ~ = ~ 289
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   729,2  ~ \(\times\)  ~ 0,1
\item   253  ~ \(\times\)  ~ 0,01
\item   7 753  ~ \(\times\)  ~ 0,1
\item   5 951  ~ \(\times\)  ~ 0,001
\item   90,31  ~ \(\times\)  ~ 0,01
\item   362,6  ~ \(\times\)  ~ 0,01
\item   23,58  ~ \(\times\)  ~ 0,01
\item   3 417  ~ \(\times\)  ~ 0,1
\item   55,07  ~ \(\times\)  ~ 0,01
\item   175,4  ~ \(\times\)  ~ 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   8,599  ~ \(\times\)  ~ ... ~ = ~  0,859 9
\item   5 160  ~ \(\times\)  ~ ... ~ = ~  5,16
\item   9,287  ~ \(\times\)  ~ ... ~ = ~  0,009 287
\item   721  ~ \(\times\)  ~ ... ~ = ~  72,1
\item   1,858  ~ \(\times\)  ~ ... ~ = ~  0,018 58
\item   7 118  ~ \(\times\)  ~ ... ~ = ~  7,118
\item   6 583  ~ \(\times\)  ~ ... ~ = ~  6,583
\item   44,25  ~ \(\times\)  ~ ... ~ = ~  0,442 5
\item   2,059  ~ \(\times\)  ~ ... ~ = ~  0,020 59
\item   570,6  ~ \(\times\)  ~ ... ~ = ~  0,570 6
\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~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 764,6 ~L~ = ...~hL
\item   8 357,5 ~mL~ = ...~cL
\item   5 054,7 ~kg~ = ...~dag
\item   9 091,7 ~dm~ = ...~hm
\item   330,96 ~km~ = ...~mm
\item   558,65 ~kL~ = ...~L
\item   643,9 ~hm~ = ...~cm
\item   9 165,6 ~cL~ = ...~L
\item   399,1 ~L~ = ...~daL
\item   9 384 ~dm~ = ...~m
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 = \(\dfrac{50}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{820}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{26}{10}\) = \(\dfrac{260}{100}\)
\item   \(\dfrac{78}{100}\) = \(\dfrac{780}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,18  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 180}
\item   0,284  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 284}
\item   223  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 223 000}
\item   1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 100}
\item   723  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 230}
\item   45,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 458}
\item   0,082  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,82}
\item   3,29  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 290}
\item   0,055  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,55}
\item   59,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 960}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,054 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 054}
\item   81,94 ~ : ~ 1 000 ~ = ~{\color{red} 0,081 94}
\item   4,655 ~ : ~ 10 ~ = ~{\color{red} 0,465 5}
\item   683,6 ~ : ~ 100 ~ = ~{\color{red} 6,836}
\item   3 255 ~ : ~ 10 ~ = ~{\color{red} 325,5}
\item   882 ~ : ~ 100 ~ = ~{\color{red} 8,82}
\item   5,093 ~ : ~ 100 ~ = ~{\color{red} 0,050 93}
\item   9,046 ~ : ~ 10 ~ = ~{\color{red} 0,904 6}
\item   7,976 ~ : ~ 10 ~ = ~{\color{red} 0,797 6}
\item   943,4 ~ : ~ 10 ~ = ~{\color{red} 94,34}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,944 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~94,4
\item   0,979 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,79
\item   0,052 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,52
\item   0,955 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~955
\item   0,038 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,38
\item   110 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~110 000
\item   0,095 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,95
\item   5,41 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~541
\item   0,079 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~79
\item   2,89 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~289
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   729,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 72,92
}\item   253 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,53
}\item   7 753 ~ \(\times\)  0,1 ~ = ~{\color{red} 775,3
}\item   5 951 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,951
}\item   90,31 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,903 1
}\item   362,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,626
}\item   23,58 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,235 8
}\item   3 417 ~ \(\times\)  0,1 ~ = ~{\color{red} 341,7
}\item   55,07 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,550 7
}\item   175,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,175 4
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,599 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,859 9
\item   5 160 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,16
\item   9,287 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 287
\item   721 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 72,1
\item   1,858 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,018 58
\item   7 118 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,118
\item   6 583 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,583
\item   44,25 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,442 5
\item   2,059 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,020 59
\item   570,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,570 6
\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}  10 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\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   9 764,6 ~L~ = {\color{red}  97,646 }~hL
\item   8 357,5 ~mL~ = {\color{red}  835,75 }~cL
\item   5 054,7 ~kg~ = {\color{red}  505 470 }~dag
\item   9 091,7 ~dm~ = {\color{red}  9,091 7 }~hm
\item   330,96 ~km~ = {\color{red}  330 960 000 }~mm
\item   558,65 ~kL~ = {\color{red}  558 650 }~L
\item   643,9 ~hm~ = {\color{red}  6 439 000 }~cm
\item   9 165,6 ~cL~ = {\color{red}  91,656 }~L
\item   399,1 ~L~ = {\color{red}  39,91 }~daL
\item   9 384 ~dm~ = {\color{red}  938,4 }~m
\end{itemize}
\end{multicols}
\end{document}
