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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{61}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{79}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,065  ~ \(\times\)  ~ 1 000
\item   0,013  ~ \(\times\)  ~ 1 000
\item   0,001  ~ \(\times\)  ~ 1 000
\item   357  ~ \(\times\)  ~ 10
\item   0,97  ~ \(\times\)  ~ 1 000
\item   3,76  ~ \(\times\)  ~ 100
\item   378  ~ \(\times\)  ~ 1 000
\item   76,4  ~ \(\times\)  ~ 1 000
\item   0,416  ~ \(\times\)  ~ 10
\item   0,084  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   440,2  ~ : ~ 10
\item   20,51  ~ : ~ 100
\item   10,02  ~ : ~ 1 000
\item   9 059  ~ : ~ 1 000
\item   6,295  ~ : ~ 10
\item   56,62  ~ : ~ 1 000
\item   4,515  ~ : ~ 1 000
\item   9 483  ~ : ~ 100
\item   3 192  ~ : ~ 10
\item   987,6  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,8  ~ \(\times\)  ~ ... ~ = ~ 88
\item   0,096  ~ \(\times\)  ~ ... ~ = ~ 96
\item   0,944  ~ \(\times\)  ~ ... ~ = ~ 94,4
\item   180  ~ \(\times\)  ~ ... ~ = ~ 180 000
\item   0,016  ~ \(\times\)  ~ ... ~ = ~ 1,6
\item   1,64  ~ \(\times\)  ~ ... ~ = ~ 164
\item   42,9  ~ \(\times\)  ~ ... ~ = ~ 42 900
\item   7,87  ~ \(\times\)  ~ ... ~ = ~ 78,7
\item   0,016  ~ \(\times\)  ~ ... ~ = ~ 0,16
\item   976  ~ \(\times\)  ~ ... ~ = ~ 976 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,559  ~ \(\times\)  ~ 0,1
\item   869,5  ~ \(\times\)  ~ 0,1
\item   26,96  ~ \(\times\)  ~ 0,001
\item   2,753  ~ \(\times\)  ~ 0,001
\item   7 980  ~ \(\times\)  ~ 0,01
\item   7,1  ~ \(\times\)  ~ 0,001
\item   870,6  ~ \(\times\)  ~ 0,01
\item   652,2  ~ \(\times\)  ~ 0,1
\item   86,12  ~ \(\times\)  ~ 0,1
\item   7,337  ~ \(\times\)  ~ 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   469  ~ \(\times\)  ~ ... ~ = ~  4,69
\item   575,4  ~ \(\times\)  ~ ... ~ = ~  0,575 4
\item   2,037  ~ \(\times\)  ~ ... ~ = ~  0,002 037
\item   292,6  ~ \(\times\)  ~ ... ~ = ~  2,926
\item   58,17  ~ \(\times\)  ~ ... ~ = ~  0,058 17
\item   1,98  ~ \(\times\)  ~ ... ~ = ~  0,198
\item   2 844  ~ \(\times\)  ~ ... ~ = ~  2,844
\item   8,183  ~ \(\times\)  ~ ... ~ = ~  0,818 3
\item   4,456  ~ \(\times\)  ~ ... ~ = ~  0,044 56
\item   101,5  ~ \(\times\)  ~ ... ~ = ~  1,015
\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~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~km~ = ...~cm
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   412,28 ~kg~ = ...~cg
\item   8 527,4 ~km~ = ...~hm
\item   444,81 ~mg~ = ...~kg
\item   6 138,6 ~g~ = ...~hg
\item   433,49 ~hm~ = ...~km
\item   7 757,8 ~dL~ = ...~L
\item   732,32 ~kg~ = ...~g
\item   9 534,2 ~cg~ = ...~hg
\item   133,52 ~kL~ = ...~mL
\item   4 956,9 ~cg~ = ...~dag
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{6700}{100}\) = \(\dfrac{670}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{61}{10}\) = \(\dfrac{610}{100}\)
\item   \(\dfrac{79}{100}\) = \(\dfrac{790}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,065  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 65}
\item   0,013  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 13}
\item   0,001  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1}
\item   357  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 570}
\item   0,97  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 970}
\item   3,76  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 376}
\item   378  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 378 000}
\item   76,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 76 400}
\item   0,416  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,16}
\item   0,084  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   440,2 ~ : ~ 10 ~ = ~{\color{red} 44,02}
\item   20,51 ~ : ~ 100 ~ = ~{\color{red} 0,205 1}
\item   10,02 ~ : ~ 1 000 ~ = ~{\color{red} 0,010 02}
\item   9 059 ~ : ~ 1 000 ~ = ~{\color{red} 9,059}
\item   6,295 ~ : ~ 10 ~ = ~{\color{red} 0,629 5}
\item   56,62 ~ : ~ 1 000 ~ = ~{\color{red} 0,056 62}
\item   4,515 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 515}
\item   9 483 ~ : ~ 100 ~ = ~{\color{red} 94,83}
\item   3 192 ~ : ~ 10 ~ = ~{\color{red} 319,2}
\item   987,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,987 6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~88
\item   0,096 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~96
\item   0,944 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~94,4
\item   180 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~180 000
\item   0,016 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,6
\item   1,64 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~164
\item   42,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42 900
\item   7,87 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~78,7
\item   0,016 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,16
\item   976 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~976 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,559 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,555 9
}\item   869,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 86,95
}\item   26,96 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,026 96
}\item   2,753 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 753
}\item   7 980 ~ \(\times\)  0,01 ~ = ~{\color{red} 79,8
}\item   7,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 1
}\item   870,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,706
}\item   652,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 65,22
}\item   86,12 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,612
}\item   7,337 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,073 37
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   469 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,69
\item   575,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,575 4
\item   2,037 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 037
\item   292,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,926
\item   58,17 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,058 17
\item   1,98 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,198
\item   2 844 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,844
\item   8,183 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,818 3
\item   4,456 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,044 56
\item   101,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,015
\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~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   412,28 ~kg~ = {\color{red}  41 228 000 }~cg
\item   8 527,4 ~km~ = {\color{red}  85 274 }~hm
\item   444,81 ~mg~ = {\color{red}  0,000 444 81 }~kg
\item   6 138,6 ~g~ = {\color{red}  61,386 }~hg
\item   433,49 ~hm~ = {\color{red}  43,349 }~km
\item   7 757,8 ~dL~ = {\color{red}  775,78 }~L
\item   732,32 ~kg~ = {\color{red}  732 320 }~g
\item   9 534,2 ~cg~ = {\color{red}  0,953 42 }~hg
\item   133,52 ~kL~ = {\color{red}  133 520 000 }~mL
\item   4 956,9 ~cg~ = {\color{red}  4,956 9 }~dag
\end{itemize}
\end{multicols}
\end{document}
