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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{39}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   969  ~ \(\times\)  ~ 1 000
\item   891  ~ \(\times\)  ~ 10
\item   669  ~ \(\times\)  ~ 10
\item   0,045  ~ \(\times\)  ~ 1 000
\item   72,5  ~ \(\times\)  ~ 1 000
\item   741  ~ \(\times\)  ~ 100
\item   0,006  ~ \(\times\)  ~ 10
\item   0,752  ~ \(\times\)  ~ 100
\item   5,9  ~ \(\times\)  ~ 10
\item   6,31  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,21  ~ : ~ 100
\item   4 898  ~ : ~ 100
\item   4 802  ~ : ~ 100
\item   4 032  ~ : ~ 10
\item   442,5  ~ : ~ 1 000
\item   43,79  ~ : ~ 100
\item   5 363  ~ : ~ 1 000
\item   3 817  ~ : ~ 1 000
\item   3,54  ~ : ~ 1 000
\item   2 935  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,005  ~ \(\times\)  ~ ... ~ = ~ 0,5
\item   648  ~ \(\times\)  ~ ... ~ = ~ 648 000
\item   0,3  ~ \(\times\)  ~ ... ~ = ~ 3
\item   0,158  ~ \(\times\)  ~ ... ~ = ~ 15,8
\item   0,74  ~ \(\times\)  ~ ... ~ = ~ 74
\item   67,5  ~ \(\times\)  ~ ... ~ = ~ 67 500
\item   38,4  ~ \(\times\)  ~ ... ~ = ~ 3 840
\item   1,56  ~ \(\times\)  ~ ... ~ = ~ 1 560
\item   2,9  ~ \(\times\)  ~ ... ~ = ~ 29
\item   54,5  ~ \(\times\)  ~ ... ~ = ~ 545
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   221,8  ~ \(\times\)  ~ 0,01
\item   18,65  ~ \(\times\)  ~ 0,001
\item   6 008  ~ \(\times\)  ~ 0,01
\item   954,3  ~ \(\times\)  ~ 0,01
\item   80,32  ~ \(\times\)  ~ 0,1
\item   1,686  ~ \(\times\)  ~ 0,001
\item   3 593  ~ \(\times\)  ~ 0,01
\item   81,99  ~ \(\times\)  ~ 0,001
\item   1 892  ~ \(\times\)  ~ 0,001
\item   860,4  ~ \(\times\)  ~ 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   3,001  ~ \(\times\)  ~ ... ~ = ~  0,300 1
\item   2,156  ~ \(\times\)  ~ ... ~ = ~  0,021 56
\item   3,562  ~ \(\times\)  ~ ... ~ = ~  0,035 62
\item   26,45  ~ \(\times\)  ~ ... ~ = ~  2,645
\item   8,627  ~ \(\times\)  ~ ... ~ = ~  0,862 7
\item   28,14  ~ \(\times\)  ~ ... ~ = ~  2,814
\item   8 602  ~ \(\times\)  ~ ... ~ = ~  860,2
\item   892,5  ~ \(\times\)  ~ ... ~ = ~  89,25
\item   4 496  ~ \(\times\)  ~ ... ~ = ~  44,96
\item   1,433  ~ \(\times\)  ~ ... ~ = ~  0,014 33
\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 ~km~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~dm~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   635,13 ~daL~ = ...~hL
\item   4 398,6 ~mm~ = ...~m
\item   3 809,6 ~L~ = ...~cL
\item   1 909 ~hL~ = ...~L
\item   601,43 ~g~ = ...~mg
\item   8 560 ~mL~ = ...~daL
\item   9 395,2 ~g~ = ...~kg
\item   4 294,5 ~mm~ = ...~hm
\item   2 074,6 ~dam~ = ...~mm
\item   944,3 ~dm~ = ...~hm
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{1100}{100}\) = \(\dfrac{110}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{490}{100}\)
\item   \(\dfrac{39}{100}\) = \(\dfrac{390}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   969  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 969 000}
\item   891  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 910}
\item   669  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 690}
\item   0,045  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 45}
\item   72,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 72 500}
\item   741  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 74 100}
\item   0,006  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,06}
\item   0,752  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 75,2}
\item   5,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 59}
\item   6,31  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 631}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,21 ~ : ~ 100 ~ = ~{\color{red} 0,672 1}
\item   4 898 ~ : ~ 100 ~ = ~{\color{red} 48,98}
\item   4 802 ~ : ~ 100 ~ = ~{\color{red} 48,02}
\item   4 032 ~ : ~ 10 ~ = ~{\color{red} 403,2}
\item   442,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,442 5}
\item   43,79 ~ : ~ 100 ~ = ~{\color{red} 0,437 9}
\item   5 363 ~ : ~ 1 000 ~ = ~{\color{red} 5,363}
\item   3 817 ~ : ~ 1 000 ~ = ~{\color{red} 3,817}
\item   3,54 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 54}
\item   2 935 ~ : ~ 100 ~ = ~{\color{red} 29,35}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,005 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,5
\item   648 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~648 000
\item   0,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3
\item   0,158 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~15,8
\item   0,74 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~74
\item   67,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~67 500
\item   38,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 840
\item   1,56 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 560
\item   2,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~29
\item   54,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~545
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   221,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,218
}\item   18,65 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,018 65
}\item   6 008 ~ \(\times\)  0,01 ~ = ~{\color{red} 60,08
}\item   954,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,543
}\item   80,32 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,032
}\item   1,686 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 686
}\item   3 593 ~ \(\times\)  0,01 ~ = ~{\color{red} 35,93
}\item   81,99 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,081 99
}\item   1 892 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,892
}\item   860,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,604
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,001 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,300 1
\item   2,156 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,021 56
\item   3,562 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,035 62
\item   26,45 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,645
\item   8,627 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,862 7
\item   28,14 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,814
\item   8 602 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 860,2
\item   892,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 89,25
\item   4 496 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 44,96
\item   1,433 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,014 33
\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 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   635,13 ~daL~ = {\color{red}  63,513 }~hL
\item   4 398,6 ~mm~ = {\color{red}  4,398 6 }~m
\item   3 809,6 ~L~ = {\color{red}  380 960 }~cL
\item   1 909 ~hL~ = {\color{red}  190 900 }~L
\item   601,43 ~g~ = {\color{red}  601 430 }~mg
\item   8 560 ~mL~ = {\color{red}  0,856 }~daL
\item   9 395,2 ~g~ = {\color{red}  9,395 2 }~kg
\item   4 294,5 ~mm~ = {\color{red}  0,042 945 }~hm
\item   2 074,6 ~dam~ = {\color{red}  20 746 000 }~mm
\item   944,3 ~dm~ = {\color{red}  0,944 3 }~hm
\end{itemize}
\end{multicols}
\end{document}
