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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   \(\dfrac{4300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{74}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{68}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,492  ~ \(\times\)  ~ 10
\item   0,105  ~ \(\times\)  ~ 10
\item   0,923  ~ \(\times\)  ~ 100
\item   631  ~ \(\times\)  ~ 1 000
\item   4,65  ~ \(\times\)  ~ 1 000
\item   83  ~ \(\times\)  ~ 1 000
\item   976  ~ \(\times\)  ~ 100
\item   40  ~ \(\times\)  ~ 10
\item   0,067  ~ \(\times\)  ~ 10
\item   0,97  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,649  ~ : ~ 1 000
\item   57,6  ~ : ~ 100
\item   822,4  ~ : ~ 100
\item   388,3  ~ : ~ 100
\item   4 848  ~ : ~ 100
\item   9 217  ~ : ~ 10
\item   4 957  ~ : ~ 1 000
\item   5,551  ~ : ~ 1 000
\item   32,11  ~ : ~ 100
\item   9,727  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,041  ~ \(\times\)  ~ ... ~ = ~ 0,41
\item   50  ~ \(\times\)  ~ ... ~ = ~ 50 000
\item   0,825  ~ \(\times\)  ~ ... ~ = ~ 82,5
\item   68,9  ~ \(\times\)  ~ ... ~ = ~ 6 890
\item   5,7  ~ \(\times\)  ~ ... ~ = ~ 57
\item   0,046  ~ \(\times\)  ~ ... ~ = ~ 0,46
\item   80,6  ~ \(\times\)  ~ ... ~ = ~ 80 600
\item   0,869  ~ \(\times\)  ~ ... ~ = ~ 86,9
\item   510  ~ \(\times\)  ~ ... ~ = ~ 51 000
\item   0,53  ~ \(\times\)  ~ ... ~ = ~ 530
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,819  ~ \(\times\)  ~ 0,001
\item   289,2  ~ \(\times\)  ~ 0,001
\item   3 819  ~ \(\times\)  ~ 0,1
\item   894,2  ~ \(\times\)  ~ 0,01
\item   85,18  ~ \(\times\)  ~ 0,001
\item   5,889  ~ \(\times\)  ~ 0,01
\item   9 079  ~ \(\times\)  ~ 0,01
\item   849,7  ~ \(\times\)  ~ 0,001
\item   929,8  ~ \(\times\)  ~ 0,01
\item   1,02  ~ \(\times\)  ~ 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   943,9  ~ \(\times\)  ~ ... ~ = ~  0,943 9
\item   6,874  ~ \(\times\)  ~ ... ~ = ~  0,068 74
\item   68,9  ~ \(\times\)  ~ ... ~ = ~  6,89
\item   89,23  ~ \(\times\)  ~ ... ~ = ~  0,892 3
\item   55,9  ~ \(\times\)  ~ ... ~ = ~  0,055 9
\item   300,4  ~ \(\times\)  ~ ... ~ = ~  30,04
\item   91,29  ~ \(\times\)  ~ ... ~ = ~  9,129
\item   1 255  ~ \(\times\)  ~ ... ~ = ~  125,5
\item   7 522  ~ \(\times\)  ~ ... ~ = ~  75,22
\item   41,89  ~ \(\times\)  ~ ... ~ = ~  4,189
\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~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~dm
\item   1 ~cm~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 275,4 ~m~ = ...~hm
\item   3 335,3 ~mg~ = ...~hg
\item   8 460,5 ~dag~ = ...~cg
\item   4 323,6 ~kL~ = ...~L
\item   1 378,1 ~kL~ = ...~dL
\item   2 221 ~mg~ = ...~kg
\item   3 030,8 ~kg~ = ...~g
\item   593,59 ~mg~ = ...~cg
\item   2 968,1 ~daL~ = ...~cL
\item   321,12 ~kg~ = ...~dg
\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   \(\dfrac{4300}{100}\) = \(\dfrac{430}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{74}{10}\) = \(\dfrac{740}{100}\)
\item   \(\dfrac{68}{100}\) = \(\dfrac{680}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,492  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,92}
\item   0,105  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,05}
\item   0,923  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 92,3}
\item   631  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 631 000}
\item   4,65  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 650}
\item   83  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 83 000}
\item   976  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 97 600}
\item   40  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 400}
\item   0,067  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,67}
\item   0,97  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 970}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,649 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 649}
\item   57,6 ~ : ~ 100 ~ = ~{\color{red} 0,576}
\item   822,4 ~ : ~ 100 ~ = ~{\color{red} 8,224}
\item   388,3 ~ : ~ 100 ~ = ~{\color{red} 3,883}
\item   4 848 ~ : ~ 100 ~ = ~{\color{red} 48,48}
\item   9 217 ~ : ~ 10 ~ = ~{\color{red} 921,7}
\item   4 957 ~ : ~ 1 000 ~ = ~{\color{red} 4,957}
\item   5,551 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 551}
\item   32,11 ~ : ~ 100 ~ = ~{\color{red} 0,321 1}
\item   9,727 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 727}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,041 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,41
\item   50 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~50 000
\item   0,825 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~82,5
\item   68,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 890
\item   5,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~57
\item   0,046 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,46
\item   80,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~80 600
\item   0,869 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~86,9
\item   510 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~51 000
\item   0,53 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~530
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,819 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 819
}\item   289,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,289 2
}\item   3 819 ~ \(\times\)  0,1 ~ = ~{\color{red} 381,9
}\item   894,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,942
}\item   85,18 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,085 18
}\item   5,889 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,058 89
}\item   9 079 ~ \(\times\)  0,01 ~ = ~{\color{red} 90,79
}\item   849,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,849 7
}\item   929,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,298
}\item   1,02 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,010 2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   943,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,943 9
\item   6,874 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,068 74
\item   68,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,89
\item   89,23 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,892 3
\item   55,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,055 9
\item   300,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 30,04
\item   91,29 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,129
\item   1 255 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 125,5
\item   7 522 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 75,22
\item   41,89 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,189
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ 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   4 275,4 ~m~ = {\color{red}  42,754 }~hm
\item   3 335,3 ~mg~ = {\color{red}  0,033 353 }~hg
\item   8 460,5 ~dag~ = {\color{red}  8 460 500 }~cg
\item   4 323,6 ~kL~ = {\color{red}  4 323 600 }~L
\item   1 378,1 ~kL~ = {\color{red}  13 781 000 }~dL
\item   2 221 ~mg~ = {\color{red}  0,002 221 }~kg
\item   3 030,8 ~kg~ = {\color{red}  3 030 800 }~g
\item   593,59 ~mg~ = {\color{red}  59,359 }~cg
\item   2 968,1 ~daL~ = {\color{red}  2 968 100 }~cL
\item   321,12 ~kg~ = {\color{red}  3 211 200 }~dg
\end{itemize}
\end{multicols}
\end{document}
