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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{56}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,2  ~ \(\times\)  ~ 1 000
\item   50,9  ~ \(\times\)  ~ 100
\item   48,5  ~ \(\times\)  ~ 10
\item   3,06  ~ \(\times\)  ~ 100
\item   0,042  ~ \(\times\)  ~ 1 000
\item   0,547  ~ \(\times\)  ~ 100
\item   0,016  ~ \(\times\)  ~ 100
\item   0,076  ~ \(\times\)  ~ 100
\item   0,03  ~ \(\times\)  ~ 10
\item   1,57  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   55,07  ~ : ~ 10
\item   638,4  ~ : ~ 1 000
\item   312,3  ~ : ~ 10
\item   1,006  ~ : ~ 1 000
\item   33,25  ~ : ~ 10
\item   0,312  ~ : ~ 10
\item   7,019  ~ : ~ 100
\item   8,65  ~ : ~ 1 000
\item   9,872  ~ : ~ 1 000
\item   16,26  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   95  ~ \(\times\)  ~ ... ~ = ~ 95 000
\item   4,29  ~ \(\times\)  ~ ... ~ = ~ 429
\item   0,822  ~ \(\times\)  ~ ... ~ = ~ 82,2
\item   0,558  ~ \(\times\)  ~ ... ~ = ~ 5,58
\item   7,23  ~ \(\times\)  ~ ... ~ = ~ 72,3
\item   7,7  ~ \(\times\)  ~ ... ~ = ~ 77
\item   0,82  ~ \(\times\)  ~ ... ~ = ~ 82
\item   0,512  ~ \(\times\)  ~ ... ~ = ~ 512
\item   6,04  ~ \(\times\)  ~ ... ~ = ~ 6 040
\item   0,012  ~ \(\times\)  ~ ... ~ = ~ 1,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   291,5  ~ \(\times\)  ~ 0,1
\item   1 046  ~ \(\times\)  ~ 0,001
\item   665,8  ~ \(\times\)  ~ 0,01
\item   2 191  ~ \(\times\)  ~ 0,1
\item   975,2  ~ \(\times\)  ~ 0,1
\item   572,2  ~ \(\times\)  ~ 0,001
\item   48,92  ~ \(\times\)  ~ 0,01
\item   142,4  ~ \(\times\)  ~ 0,1
\item   4 764  ~ \(\times\)  ~ 0,001
\item   1,291  ~ \(\times\)  ~ 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   128,5  ~ \(\times\)  ~ ... ~ = ~  12,85
\item   8,185  ~ \(\times\)  ~ ... ~ = ~  0,818 5
\item   81,48  ~ \(\times\)  ~ ... ~ = ~  8,148
\item   918  ~ \(\times\)  ~ ... ~ = ~  91,8
\item   87,11  ~ \(\times\)  ~ ... ~ = ~  0,871 1
\item   1,125  ~ \(\times\)  ~ ... ~ = ~  0,001 125
\item   227,6  ~ \(\times\)  ~ ... ~ = ~  0,227 6
\item   5,716  ~ \(\times\)  ~ ... ~ = ~  0,571 6
\item   68,31  ~ \(\times\)  ~ ... ~ = ~  0,683 1
\item   4 550  ~ \(\times\)  ~ ... ~ = ~  4,55
\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 ~dam~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   337,09 ~dag~ = ...~hg
\item   6 161,5 ~hg~ = ...~kg
\item   634,33 ~cL~ = ...~L
\item   432,72 ~mm~ = ...~hm
\item   6 897,7 ~mg~ = ...~kg
\item   4 229,5 ~kg~ = ...~dag
\item   484,37 ~kL~ = ...~cL
\item   2 471,2 ~dg~ = ...~hg
\item   7 544,8 ~m~ = ...~hm
\item   532,49 ~kg~ = ...~mg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{620}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{940}{100}\)
\item   \(\dfrac{56}{100}\) = \(\dfrac{560}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,2  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 27 200}
\item   50,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 090}
\item   48,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 485}
\item   3,06  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 306}
\item   0,042  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 42}
\item   0,547  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 54,7}
\item   0,016  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,6}
\item   0,076  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,6}
\item   0,03  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,3}
\item   1,57  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 157}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   55,07 ~ : ~ 10 ~ = ~{\color{red} 5,507}
\item   638,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,638 4}
\item   312,3 ~ : ~ 10 ~ = ~{\color{red} 31,23}
\item   1,006 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 006}
\item   33,25 ~ : ~ 10 ~ = ~{\color{red} 3,325}
\item   0,312 ~ : ~ 10 ~ = ~{\color{red} 0,031 2}
\item   7,019 ~ : ~ 100 ~ = ~{\color{red} 0,070 19}
\item   8,65 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 65}
\item   9,872 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 872}
\item   16,26 ~ : ~ 1 000 ~ = ~{\color{red} 0,016 26}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   95 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~95 000
\item   4,29 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~429
\item   0,822 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~82,2
\item   0,558 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,58
\item   7,23 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~72,3
\item   7,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~77
\item   0,82 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~82
\item   0,512 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~512
\item   6,04 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 040
\item   0,012 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   291,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 29,15
}\item   1 046 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,046
}\item   665,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,658
}\item   2 191 ~ \(\times\)  0,1 ~ = ~{\color{red} 219,1
}\item   975,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 97,52
}\item   572,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,572 2
}\item   48,92 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,489 2
}\item   142,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 14,24
}\item   4 764 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,764
}\item   1,291 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,012 91
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   128,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 12,85
\item   8,185 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,818 5
\item   81,48 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,148
\item   918 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 91,8
\item   87,11 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,871 1
\item   1,125 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 125
\item   227,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,227 6
\item   5,716 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,571 6
\item   68,31 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,683 1
\item   4 550 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,55
\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 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   337,09 ~dag~ = {\color{red}  33,709 }~hg
\item   6 161,5 ~hg~ = {\color{red}  616,15 }~kg
\item   634,33 ~cL~ = {\color{red}  6,343 3 }~L
\item   432,72 ~mm~ = {\color{red}  0,004 327 2 }~hm
\item   6 897,7 ~mg~ = {\color{red}  0,006 897 7 }~kg
\item   4 229,5 ~kg~ = {\color{red}  422 950 }~dag
\item   484,37 ~kL~ = {\color{red}  48 437 000 }~cL
\item   2 471,2 ~dg~ = {\color{red}  2,471 2 }~hg
\item   7 544,8 ~m~ = {\color{red}  75,448 }~hm
\item   532,49 ~kg~ = {\color{red}  532 490 000 }~mg
\end{itemize}
\end{multicols}
\end{document}
