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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{53}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{11}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,9  ~ \(\times\)  ~ 10
\item   94,3  ~ \(\times\)  ~ 10
\item   92,5  ~ \(\times\)  ~ 10
\item   0,87  ~ \(\times\)  ~ 100
\item   669  ~ \(\times\)  ~ 10
\item   6,04  ~ \(\times\)  ~ 100
\item   0,034  ~ \(\times\)  ~ 10
\item   6,52  ~ \(\times\)  ~ 100
\item   0,05  ~ \(\times\)  ~ 100
\item   55,8  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 045  ~ : ~ 10
\item   728  ~ : ~ 10
\item   4,234  ~ : ~ 100
\item   12,82  ~ : ~ 1 000
\item   897,3  ~ : ~ 10
\item   0,772  ~ : ~ 1 000
\item   792,1  ~ : ~ 10
\item   253,5  ~ : ~ 1 000
\item   3 092  ~ : ~ 1 000
\item   6 302  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,2  ~ \(\times\)  ~ ... ~ = ~ 482
\item   0,648  ~ \(\times\)  ~ ... ~ = ~ 6,48
\item   7,2  ~ \(\times\)  ~ ... ~ = ~ 72
\item   1,9  ~ \(\times\)  ~ ... ~ = ~ 1 900
\item   258  ~ \(\times\)  ~ ... ~ = ~ 2 580
\item   0,049  ~ \(\times\)  ~ ... ~ = ~ 49
\item   0,743  ~ \(\times\)  ~ ... ~ = ~ 743
\item   0,086  ~ \(\times\)  ~ ... ~ = ~ 8,6
\item   55,6  ~ \(\times\)  ~ ... ~ = ~ 55 600
\item   4,5  ~ \(\times\)  ~ ... ~ = ~ 45
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,509  ~ \(\times\)  ~ 0,001
\item   8 659  ~ \(\times\)  ~ 0,001
\item   5,58  ~ \(\times\)  ~ 0,1
\item   3,362  ~ \(\times\)  ~ 0,01
\item   2 147  ~ \(\times\)  ~ 0,1
\item   957,5  ~ \(\times\)  ~ 0,001
\item   15,37  ~ \(\times\)  ~ 0,1
\item   935,6  ~ \(\times\)  ~ 0,001
\item   1 308  ~ \(\times\)  ~ 0,01
\item   356,1  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   552,7  ~ \(\times\)  ~ ... ~ = ~  55,27
\item   150,5  ~ \(\times\)  ~ ... ~ = ~  15,05
\item   387,6  ~ \(\times\)  ~ ... ~ = ~  0,387 6
\item   146,4  ~ \(\times\)  ~ ... ~ = ~  0,146 4
\item   0,996  ~ \(\times\)  ~ ... ~ = ~  0,000 996
\item   385,4  ~ \(\times\)  ~ ... ~ = ~  3,854
\item   3,32  ~ \(\times\)  ~ ... ~ = ~  0,332
\item   12,74  ~ \(\times\)  ~ ... ~ = ~  0,012 74
\item   1,528  ~ \(\times\)  ~ ... ~ = ~  0,152 8
\item   9 109  ~ \(\times\)  ~ ... ~ = ~  910,9
\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 ~hm~ = ...~km
\item   1 ~cm~ = ...~m
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~cm~ = ...~dm
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 348,3 ~hL~ = ...~daL
\item   274,36 ~hL~ = ...~dL
\item   572,09 ~L~ = ...~kL
\item   482,57 ~hL~ = ...~kL
\item   9 244,8 ~km~ = ...~hm
\item   582,48 ~daL~ = ...~hL
\item   222,25 ~daL~ = ...~kL
\item   996,05 ~kg~ = ...~dg
\item   999,69 ~dg~ = ...~kg
\item   897,11 ~mm~ = ...~cm
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{4000}{100}\) = \(\dfrac{400}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{53}{10}\) = \(\dfrac{530}{100}\)
\item   \(\dfrac{11}{100}\) = \(\dfrac{110}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 739}
\item   94,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 943}
\item   92,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 925}
\item   0,87  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 87}
\item   669  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 690}
\item   6,04  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 604}
\item   0,034  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,34}
\item   6,52  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 652}
\item   0,05  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5}
\item   55,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 580}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 045 ~ : ~ 10 ~ = ~{\color{red} 304,5}
\item   728 ~ : ~ 10 ~ = ~{\color{red} 72,8}
\item   4,234 ~ : ~ 100 ~ = ~{\color{red} 0,042 34}
\item   12,82 ~ : ~ 1 000 ~ = ~{\color{red} 0,012 82}
\item   897,3 ~ : ~ 10 ~ = ~{\color{red} 89,73}
\item   0,772 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 772}
\item   792,1 ~ : ~ 10 ~ = ~{\color{red} 79,21}
\item   253,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,253 5}
\item   3 092 ~ : ~ 1 000 ~ = ~{\color{red} 3,092}
\item   6 302 ~ : ~ 10 ~ = ~{\color{red} 630,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~482
\item   0,648 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,48
\item   7,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~72
\item   1,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 900
\item   258 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 580
\item   0,049 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49
\item   0,743 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~743
\item   0,086 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,6
\item   55,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~55 600
\item   4,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~45
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,509 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 509
}\item   8 659 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,659
}\item   5,58 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,558
}\item   3,362 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,033 62
}\item   2 147 ~ \(\times\)  0,1 ~ = ~{\color{red} 214,7
}\item   957,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,957 5
}\item   15,37 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,537
}\item   935,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,935 6
}\item   1 308 ~ \(\times\)  0,01 ~ = ~{\color{red} 13,08
}\item   356,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,561
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   552,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 55,27
\item   150,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 15,05
\item   387,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,387 6
\item   146,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,146 4
\item   0,996 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 996
\item   385,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,854
\item   3,32 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,332
\item   12,74 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,012 74
\item   1,528 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,152 8
\item   9 109 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 910,9
\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 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 348,3 ~hL~ = {\color{red}  83 483 }~daL
\item   274,36 ~hL~ = {\color{red}  274 360 }~dL
\item   572,09 ~L~ = {\color{red}  0,572 09 }~kL
\item   482,57 ~hL~ = {\color{red}  48,257 }~kL
\item   9 244,8 ~km~ = {\color{red}  92 448 }~hm
\item   582,48 ~daL~ = {\color{red}  58,248 }~hL
\item   222,25 ~daL~ = {\color{red}  2,222 5 }~kL
\item   996,05 ~kg~ = {\color{red}  9 960 500 }~dg
\item   999,69 ~dg~ = {\color{red}  0,099 969 }~kg
\item   897,11 ~mm~ = {\color{red}  89,711 }~cm
\end{itemize}
\end{multicols}
\end{document}
