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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{51}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,481  ~ \(\times\)  ~ 1 000
\item   0,054  ~ \(\times\)  ~ 1 000
\item   0,22  ~ \(\times\)  ~ 100
\item   0,621  ~ \(\times\)  ~ 10
\item   0,025  ~ \(\times\)  ~ 1 000
\item   0,79  ~ \(\times\)  ~ 100
\item   0,053  ~ \(\times\)  ~ 100
\item   58  ~ \(\times\)  ~ 1 000
\item   635  ~ \(\times\)  ~ 10
\item   63,9  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   621,9  ~ : ~ 10
\item   779,6  ~ : ~ 1 000
\item   61,91  ~ : ~ 100
\item   323,2  ~ : ~ 10
\item   44,02  ~ : ~ 10
\item   0,109  ~ : ~ 10
\item   5,457  ~ : ~ 100
\item   721,6  ~ : ~ 100
\item   3 807  ~ : ~ 10
\item   3,498  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   381  ~ \(\times\)  ~ ... ~ = ~ 381 000
\item   9,37  ~ \(\times\)  ~ ... ~ = ~ 9 370
\item   0,601  ~ \(\times\)  ~ ... ~ = ~ 601
\item   15  ~ \(\times\)  ~ ... ~ = ~ 150
\item   0,046  ~ \(\times\)  ~ ... ~ = ~ 4,6
\item   420  ~ \(\times\)  ~ ... ~ = ~ 42 000
\item   9,03  ~ \(\times\)  ~ ... ~ = ~ 9 030
\item   0,622  ~ \(\times\)  ~ ... ~ = ~ 62,2
\item   0,028  ~ \(\times\)  ~ ... ~ = ~ 2,8
\item   445  ~ \(\times\)  ~ ... ~ = ~ 4 450
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 410  ~ \(\times\)  ~ 0,001
\item   258,5  ~ \(\times\)  ~ 0,1
\item   4,55  ~ \(\times\)  ~ 0,01
\item   274,9  ~ \(\times\)  ~ 0,01
\item   8,408  ~ \(\times\)  ~ 0,01
\item   5 941  ~ \(\times\)  ~ 0,001
\item   8 982  ~ \(\times\)  ~ 0,001
\item   4,039  ~ \(\times\)  ~ 0,001
\item   43,58  ~ \(\times\)  ~ 0,1
\item   5 582  ~ \(\times\)  ~ 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   91,48  ~ \(\times\)  ~ ... ~ = ~  0,914 8
\item   5,128  ~ \(\times\)  ~ ... ~ = ~  0,005 128
\item   7,947  ~ \(\times\)  ~ ... ~ = ~  0,794 7
\item   946  ~ \(\times\)  ~ ... ~ = ~  0,946
\item   24,59  ~ \(\times\)  ~ ... ~ = ~  2,459
\item   27,08  ~ \(\times\)  ~ ... ~ = ~  0,270 8
\item   547,2  ~ \(\times\)  ~ ... ~ = ~  0,547 2
\item   1 509  ~ \(\times\)  ~ ... ~ = ~  150,9
\item   21,4  ~ \(\times\)  ~ ... ~ = ~  2,14
\item   0,476  ~ \(\times\)  ~ ... ~ = ~  0,000 476
\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 ~cm~ = ...~hm
\item   1 ~m~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 208,5 ~dL~ = ...~daL
\item   897,6 ~cL~ = ...~mL
\item   2 932,9 ~dg~ = ...~hg
\item   824,98 ~mm~ = ...~dm
\item   6 499,6 ~cm~ = ...~dam
\item   4 614,7 ~mg~ = ...~dg
\item   9 998,1 ~cm~ = ...~km
\item   543,53 ~kL~ = ...~dL
\item   8 603,5 ~cg~ = ...~kg
\item   592,79 ~m~ = ...~km
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{900}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{51}{10}\) = \(\dfrac{510}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{690}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,481  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 481}
\item   0,054  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 54}
\item   0,22  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 22}
\item   0,621  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,21}
\item   0,025  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 25}
\item   0,79  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 79}
\item   0,053  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,3}
\item   58  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 58 000}
\item   635  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 350}
\item   63,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 390}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   621,9 ~ : ~ 10 ~ = ~{\color{red} 62,19}
\item   779,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,779 6}
\item   61,91 ~ : ~ 100 ~ = ~{\color{red} 0,619 1}
\item   323,2 ~ : ~ 10 ~ = ~{\color{red} 32,32}
\item   44,02 ~ : ~ 10 ~ = ~{\color{red} 4,402}
\item   0,109 ~ : ~ 10 ~ = ~{\color{red} 0,010 9}
\item   5,457 ~ : ~ 100 ~ = ~{\color{red} 0,054 57}
\item   721,6 ~ : ~ 100 ~ = ~{\color{red} 7,216}
\item   3 807 ~ : ~ 10 ~ = ~{\color{red} 380,7}
\item   3,498 ~ : ~ 10 ~ = ~{\color{red} 0,349 8}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   381 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~381 000
\item   9,37 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 370
\item   0,601 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~601
\item   15 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~150
\item   0,046 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,6
\item   420 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~42 000
\item   9,03 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 030
\item   0,622 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~62,2
\item   0,028 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,8
\item   445 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 450
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 410 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,41
}\item   258,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 25,85
}\item   4,55 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,045 5
}\item   274,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,749
}\item   8,408 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,084 08
}\item   5 941 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,941
}\item   8 982 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,982
}\item   4,039 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 039
}\item   43,58 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,358
}\item   5 582 ~ \(\times\)  0,1 ~ = ~{\color{red} 558,2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   91,48 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,914 8
\item   5,128 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 128
\item   7,947 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,794 7
\item   946 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,946
\item   24,59 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,459
\item   27,08 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,270 8
\item   547,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,547 2
\item   1 509 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 150,9
\item   21,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,14
\item   0,476 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 476
\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 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 208,5 ~dL~ = {\color{red}  92,085 }~daL
\item   897,6 ~cL~ = {\color{red}  8 976 }~mL
\item   2 932,9 ~dg~ = {\color{red}  2,932 9 }~hg
\item   824,98 ~mm~ = {\color{red}  8,249 8 }~dm
\item   6 499,6 ~cm~ = {\color{red}  6,499 6 }~dam
\item   4 614,7 ~mg~ = {\color{red}  46,147 }~dg
\item   9 998,1 ~cm~ = {\color{red}  0,099 981 }~km
\item   543,53 ~kL~ = {\color{red}  5 435 300 }~dL
\item   8 603,5 ~cg~ = {\color{red}  0,086 035 }~kg
\item   592,79 ~m~ = {\color{red}  0,592 79 }~km
\end{itemize}
\end{multicols}
\end{document}
