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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{11}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{91}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,52  ~ \(\times\)  ~ 10
\item   41,9  ~ \(\times\)  ~ 100
\item   0,568  ~ \(\times\)  ~ 10
\item   65,8  ~ \(\times\)  ~ 10
\item   11,9  ~ \(\times\)  ~ 10
\item   97,7  ~ \(\times\)  ~ 1 000
\item   270  ~ \(\times\)  ~ 10
\item   1,57  ~ \(\times\)  ~ 100
\item   8,45  ~ \(\times\)  ~ 1 000
\item   0,091  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36,32  ~ : ~ 1 000
\item   6,56  ~ : ~ 10
\item   7 881  ~ : ~ 1 000
\item   73,25  ~ : ~ 1 000
\item   32,52  ~ : ~ 1 000
\item   825  ~ : ~ 1 000
\item   7,833  ~ : ~ 1 000
\item   9,567  ~ : ~ 1 000
\item   1 933  ~ : ~ 10
\item   5,217  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,521  ~ \(\times\)  ~ ... ~ = ~ 52,1
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 3,6
\item   86  ~ \(\times\)  ~ ... ~ = ~ 8 600
\item   94  ~ \(\times\)  ~ ... ~ = ~ 940
\item   93  ~ \(\times\)  ~ ... ~ = ~ 930
\item   0,617  ~ \(\times\)  ~ ... ~ = ~ 617
\item   31,8  ~ \(\times\)  ~ ... ~ = ~ 3 180
\item   752  ~ \(\times\)  ~ ... ~ = ~ 75 200
\item   0,074  ~ \(\times\)  ~ ... ~ = ~ 7,4
\item   3,45  ~ \(\times\)  ~ ... ~ = ~ 34,5
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   669,8  ~ \(\times\)  ~ 0,1
\item   6,46  ~ \(\times\)  ~ 0,001
\item   73,75  ~ \(\times\)  ~ 0,01
\item   2 104  ~ \(\times\)  ~ 0,001
\item   5,286  ~ \(\times\)  ~ 0,1
\item   0,383  ~ \(\times\)  ~ 0,01
\item   637,8  ~ \(\times\)  ~ 0,01
\item   327  ~ \(\times\)  ~ 0,1
\item   585,3  ~ \(\times\)  ~ 0,1
\item   8 131  ~ \(\times\)  ~ 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   8 322  ~ \(\times\)  ~ ... ~ = ~  83,22
\item   80,57  ~ \(\times\)  ~ ... ~ = ~  0,080 57
\item   3,753  ~ \(\times\)  ~ ... ~ = ~  0,375 3
\item   547,1  ~ \(\times\)  ~ ... ~ = ~  0,547 1
\item   8 374  ~ \(\times\)  ~ ... ~ = ~  837,4
\item   164  ~ \(\times\)  ~ ... ~ = ~  1,64
\item   91,98  ~ \(\times\)  ~ ... ~ = ~  0,091 98
\item   908,2  ~ \(\times\)  ~ ... ~ = ~  90,82
\item   3 111  ~ \(\times\)  ~ ... ~ = ~  3,111
\item   94,02  ~ \(\times\)  ~ ... ~ = ~  0,940 2
\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 ~hm~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~dm~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   157,38 ~g~ = ...~dg
\item   154,74 ~dL~ = ...~cL
\item   902,36 ~g~ = ...~kg
\item   1 196,8 ~kL~ = ...~daL
\item   657,89 ~dL~ = ...~daL
\item   304,68 ~cg~ = ...~dag
\item   836,68 ~L~ = ...~cL
\item   383,38 ~mL~ = ...~cL
\item   4 045,2 ~kL~ = ...~hL
\item   3 987,1 ~L~ = ...~kL
\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   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{2500}{100}\) = \(\dfrac{250}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{11}{10}\) = \(\dfrac{110}{100}\)
\item   \(\dfrac{91}{100}\) = \(\dfrac{910}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,52  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 65,2}
\item   41,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 190}
\item   0,568  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,68}
\item   65,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 658}
\item   11,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 119}
\item   97,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 97 700}
\item   270  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 700}
\item   1,57  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 157}
\item   8,45  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 450}
\item   0,091  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 91}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36,32 ~ : ~ 1 000 ~ = ~{\color{red} 0,036 32}
\item   6,56 ~ : ~ 10 ~ = ~{\color{red} 0,656}
\item   7 881 ~ : ~ 1 000 ~ = ~{\color{red} 7,881}
\item   73,25 ~ : ~ 1 000 ~ = ~{\color{red} 0,073 25}
\item   32,52 ~ : ~ 1 000 ~ = ~{\color{red} 0,032 52}
\item   825 ~ : ~ 1 000 ~ = ~{\color{red} 0,825}
\item   7,833 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 833}
\item   9,567 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 567}
\item   1 933 ~ : ~ 10 ~ = ~{\color{red} 193,3}
\item   5,217 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 217}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,521 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~52,1
\item   0,036 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,6
\item   86 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 600
\item   94 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~940
\item   93 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~930
\item   0,617 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~617
\item   31,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 180
\item   752 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~75 200
\item   0,074 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,4
\item   3,45 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~34,5
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   669,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 66,98
}\item   6,46 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 46
}\item   73,75 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,737 5
}\item   2 104 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,104
}\item   5,286 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,528 6
}\item   0,383 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,003 83
}\item   637,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,378
}\item   327 ~ \(\times\)  0,1 ~ = ~{\color{red} 32,7
}\item   585,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 58,53
}\item   8 131 ~ \(\times\)  0,01 ~ = ~{\color{red} 81,31
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 322 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 83,22
\item   80,57 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,080 57
\item   3,753 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,375 3
\item   547,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,547 1
\item   8 374 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 837,4
\item   164 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,64
\item   91,98 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,091 98
\item   908,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 90,82
\item   3 111 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,111
\item   94,02 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,940 2
\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 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   157,38 ~g~ = {\color{red}  1 573,8 }~dg
\item   154,74 ~dL~ = {\color{red}  1 547,4 }~cL
\item   902,36 ~g~ = {\color{red}  0,902 36 }~kg
\item   1 196,8 ~kL~ = {\color{red}  119 680 }~daL
\item   657,89 ~dL~ = {\color{red}  6,578 9 }~daL
\item   304,68 ~cg~ = {\color{red}  0,304 68 }~dag
\item   836,68 ~L~ = {\color{red}  83 668 }~cL
\item   383,38 ~mL~ = {\color{red}  38,338 }~cL
\item   4 045,2 ~kL~ = {\color{red}  40 452 }~hL
\item   3 987,1 ~L~ = {\color{red}  3,987 1 }~kL
\end{itemize}
\end{multicols}
\end{document}
