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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{34}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,66  ~ \(\times\)  ~ 10
\item   2,46  ~ \(\times\)  ~ 10
\item   0,034  ~ \(\times\)  ~ 10
\item   0,096  ~ \(\times\)  ~ 1 000
\item   0,759  ~ \(\times\)  ~ 1 000
\item   913  ~ \(\times\)  ~ 1 000
\item   911  ~ \(\times\)  ~ 1 000
\item   2,79  ~ \(\times\)  ~ 100
\item   20,3  ~ \(\times\)  ~ 10
\item   0,061  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 379  ~ : ~ 1 000
\item   54,49  ~ : ~ 100
\item   3,123  ~ : ~ 100
\item   854,3  ~ : ~ 100
\item   453,4  ~ : ~ 100
\item   9,05  ~ : ~ 1 000
\item   0,629  ~ : ~ 100
\item   83,95  ~ : ~ 1 000
\item   6,809  ~ : ~ 1 000
\item   31,29  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,391  ~ \(\times\)  ~ ... ~ = ~ 391
\item   0,34  ~ \(\times\)  ~ ... ~ = ~ 340
\item   0,062  ~ \(\times\)  ~ ... ~ = ~ 62
\item   0,548  ~ \(\times\)  ~ ... ~ = ~ 548
\item   0,093  ~ \(\times\)  ~ ... ~ = ~ 9,3
\item   99  ~ \(\times\)  ~ ... ~ = ~ 9 900
\item   373  ~ \(\times\)  ~ ... ~ = ~ 37 300
\item   0,808  ~ \(\times\)  ~ ... ~ = ~ 8,08
\item   96  ~ \(\times\)  ~ ... ~ = ~ 96 000
\item   0,253  ~ \(\times\)  ~ ... ~ = ~ 2,53
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,683  ~ \(\times\)  ~ 0,1
\item   2 909  ~ \(\times\)  ~ 0,001
\item   62,65  ~ \(\times\)  ~ 0,1
\item   54,79  ~ \(\times\)  ~ 0,001
\item   3,234  ~ \(\times\)  ~ 0,1
\item   113  ~ \(\times\)  ~ 0,001
\item   3 402  ~ \(\times\)  ~ 0,1
\item   3,296  ~ \(\times\)  ~ 0,1
\item   2,518  ~ \(\times\)  ~ 0,1
\item   2,068  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   868,5  ~ \(\times\)  ~ ... ~ = ~  0,868 5
\item   4,757  ~ \(\times\)  ~ ... ~ = ~  0,047 57
\item   11,8  ~ \(\times\)  ~ ... ~ = ~  1,18
\item   4 342  ~ \(\times\)  ~ ... ~ = ~  434,2
\item   31,62  ~ \(\times\)  ~ ... ~ = ~  0,031 62
\item   11,5  ~ \(\times\)  ~ ... ~ = ~  1,15
\item   2,908  ~ \(\times\)  ~ ... ~ = ~  0,002 908
\item   450,8  ~ \(\times\)  ~ ... ~ = ~  45,08
\item   135,3  ~ \(\times\)  ~ ... ~ = ~  1,353
\item   203,5  ~ \(\times\)  ~ ... ~ = ~  0,203 5
\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 ~hm~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   864,78 ~mg~ = ...~kg
\item   902,34 ~hg~ = ...~kg
\item   4 859,4 ~dm~ = ...~km
\item   878,23 ~cm~ = ...~hm
\item   6 673,3 ~mL~ = ...~kL
\item   2 328,1 ~hm~ = ...~cm
\item   389,91 ~mL~ = ...~L
\item   313,7 ~dm~ = ...~dam
\item   954,45 ~mm~ = ...~m
\item   5 334,4 ~mg~ = ...~hg
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{1400}{100}\) = \(\dfrac{140}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{34}{10}\) = \(\dfrac{340}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{260}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,66  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 76,6}
\item   2,46  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 24,6}
\item   0,034  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,34}
\item   0,096  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 96}
\item   0,759  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 759}
\item   913  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 913 000}
\item   911  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 911 000}
\item   2,79  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 279}
\item   20,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 203}
\item   0,061  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 61}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 379 ~ : ~ 1 000 ~ = ~{\color{red} 9,379}
\item   54,49 ~ : ~ 100 ~ = ~{\color{red} 0,544 9}
\item   3,123 ~ : ~ 100 ~ = ~{\color{red} 0,031 23}
\item   854,3 ~ : ~ 100 ~ = ~{\color{red} 8,543}
\item   453,4 ~ : ~ 100 ~ = ~{\color{red} 4,534}
\item   9,05 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 05}
\item   0,629 ~ : ~ 100 ~ = ~{\color{red} 0,006 29}
\item   83,95 ~ : ~ 1 000 ~ = ~{\color{red} 0,083 95}
\item   6,809 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 809}
\item   31,29 ~ : ~ 1 000 ~ = ~{\color{red} 0,031 29}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,391 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~391
\item   0,34 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~340
\item   0,062 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~62
\item   0,548 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~548
\item   0,093 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,3
\item   99 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 900
\item   373 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~37 300
\item   0,808 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,08
\item   96 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~96 000
\item   0,253 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,53
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,683 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,168 3
}\item   2 909 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,909
}\item   62,65 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,265
}\item   54,79 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,054 79
}\item   3,234 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,323 4
}\item   113 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,113
}\item   3 402 ~ \(\times\)  0,1 ~ = ~{\color{red} 340,2
}\item   3,296 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,329 6
}\item   2,518 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,251 8
}\item   2,068 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 068
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   868,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,868 5
\item   4,757 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,047 57
\item   11,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,18
\item   4 342 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 434,2
\item   31,62 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,031 62
\item   11,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,15
\item   2,908 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 908
\item   450,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 45,08
\item   135,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,353
\item   203,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,203 5
\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 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\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   864,78 ~mg~ = {\color{red}  0,000 864 78 }~kg
\item   902,34 ~hg~ = {\color{red}  90,234 }~kg
\item   4 859,4 ~dm~ = {\color{red}  0,485 94 }~km
\item   878,23 ~cm~ = {\color{red}  0,087 823 }~hm
\item   6 673,3 ~mL~ = {\color{red}  0,006 673 3 }~kL
\item   2 328,1 ~hm~ = {\color{red}  23 281 000 }~cm
\item   389,91 ~mL~ = {\color{red}  0,389 91 }~L
\item   313,7 ~dm~ = {\color{red}  3,137 }~dam
\item   954,45 ~mm~ = {\color{red}  0,954 45 }~m
\item   5 334,4 ~mg~ = {\color{red}  0,053 344 }~hg
\end{itemize}
\end{multicols}
\end{document}
