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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{77}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{98}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 100
\item   0,035  ~ \(\times\)  ~ 1 000
\item   647  ~ \(\times\)  ~ 1 000
\item   0,097  ~ \(\times\)  ~ 100
\item   6,86  ~ \(\times\)  ~ 100
\item   0,943  ~ \(\times\)  ~ 1 000
\item   6,85  ~ \(\times\)  ~ 1 000
\item   95,3  ~ \(\times\)  ~ 100
\item   0,836  ~ \(\times\)  ~ 1 000
\item   212  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 820  ~ : ~ 1 000
\item   228,8  ~ : ~ 10
\item   11,29  ~ : ~ 1 000
\item   8,211  ~ : ~ 10
\item   41,78  ~ : ~ 1 000
\item   7 229  ~ : ~ 10
\item   27,44  ~ : ~ 10
\item   84,56  ~ : ~ 1 000
\item   130  ~ : ~ 1 000
\item   699  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,369  ~ \(\times\)  ~ ... ~ = ~ 3,69
\item   0,055  ~ \(\times\)  ~ ... ~ = ~ 55
\item   0,019  ~ \(\times\)  ~ ... ~ = ~ 1,9
\item   194  ~ \(\times\)  ~ ... ~ = ~ 194 000
\item   3,32  ~ \(\times\)  ~ ... ~ = ~ 33,2
\item   72,5  ~ \(\times\)  ~ ... ~ = ~ 725
\item   63,6  ~ \(\times\)  ~ ... ~ = ~ 63 600
\item   322  ~ \(\times\)  ~ ... ~ = ~ 322 000
\item   0,085  ~ \(\times\)  ~ ... ~ = ~ 0,85
\item   0,773  ~ \(\times\)  ~ ... ~ = ~ 773
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   55,01  ~ \(\times\)  ~ 0,001
\item   81,34  ~ \(\times\)  ~ 0,01
\item   32,32  ~ \(\times\)  ~ 0,01
\item   33,19  ~ \(\times\)  ~ 0,001
\item   76,09  ~ \(\times\)  ~ 0,01
\item   8 882  ~ \(\times\)  ~ 0,1
\item   1 031  ~ \(\times\)  ~ 0,01
\item   963  ~ \(\times\)  ~ 0,01
\item   81,95  ~ \(\times\)  ~ 0,01
\item   9,539  ~ \(\times\)  ~ 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   1,794  ~ \(\times\)  ~ ... ~ = ~  0,017 94
\item   18,9  ~ \(\times\)  ~ ... ~ = ~  0,018 9
\item   1,991  ~ \(\times\)  ~ ... ~ = ~  0,019 91
\item   39,52  ~ \(\times\)  ~ ... ~ = ~  3,952
\item   5 001  ~ \(\times\)  ~ ... ~ = ~  500,1
\item   3,768  ~ \(\times\)  ~ ... ~ = ~  0,037 68
\item   971,4  ~ \(\times\)  ~ ... ~ = ~  97,14
\item   7 119  ~ \(\times\)  ~ ... ~ = ~  71,19
\item   87  ~ \(\times\)  ~ ... ~ = ~  0,87
\item   7,88  ~ \(\times\)  ~ ... ~ = ~  0,007 88
\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 ~dm~ = ...~hm
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~m
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 592,7 ~dg~ = ...~dag
\item   709,76 ~mL~ = ...~kL
\item   538,88 ~cg~ = ...~kg
\item   7 084,9 ~dam~ = ...~mm
\item   184,38 ~hm~ = ...~cm
\item   576,56 ~L~ = ...~cL
\item   6 737,6 ~km~ = ...~dam
\item   935,9 ~km~ = ...~dm
\item   8 892,6 ~daL~ = ...~hL
\item   6 930,8 ~mL~ = ...~cL
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{120}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{77}{10}\) = \(\dfrac{770}{100}\)
\item   \(\dfrac{98}{100}\) = \(\dfrac{980}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,6}
\item   0,035  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 35}
\item   647  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 647 000}
\item   0,097  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,7}
\item   6,86  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 686}
\item   0,943  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 943}
\item   6,85  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 850}
\item   95,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 530}
\item   0,836  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 836}
\item   212  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 21 200}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 820 ~ : ~ 1 000 ~ = ~{\color{red} 1,82}
\item   228,8 ~ : ~ 10 ~ = ~{\color{red} 22,88}
\item   11,29 ~ : ~ 1 000 ~ = ~{\color{red} 0,011 29}
\item   8,211 ~ : ~ 10 ~ = ~{\color{red} 0,821 1}
\item   41,78 ~ : ~ 1 000 ~ = ~{\color{red} 0,041 78}
\item   7 229 ~ : ~ 10 ~ = ~{\color{red} 722,9}
\item   27,44 ~ : ~ 10 ~ = ~{\color{red} 2,744}
\item   84,56 ~ : ~ 1 000 ~ = ~{\color{red} 0,084 56}
\item   130 ~ : ~ 1 000 ~ = ~{\color{red} 0,13}
\item   699 ~ : ~ 1 000 ~ = ~{\color{red} 0,699}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,369 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,69
\item   0,055 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~55
\item   0,019 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,9
\item   194 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~194 000
\item   3,32 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~33,2
\item   72,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~725
\item   63,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~63 600
\item   322 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~322 000
\item   0,085 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,85
\item   0,773 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~773
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   55,01 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,055 01
}\item   81,34 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,813 4
}\item   32,32 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,323 2
}\item   33,19 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,033 19
}\item   76,09 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,760 9
}\item   8 882 ~ \(\times\)  0,1 ~ = ~{\color{red} 888,2
}\item   1 031 ~ \(\times\)  0,01 ~ = ~{\color{red} 10,31
}\item   963 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,63
}\item   81,95 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,819 5
}\item   9,539 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,095 39
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,794 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,017 94
\item   18,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,018 9
\item   1,991 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,019 91
\item   39,52 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,952
\item   5 001 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 500,1
\item   3,768 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,037 68
\item   971,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 97,14
\item   7 119 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 71,19
\item   87 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,87
\item   7,88 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 88
\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 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 592,7 ~dg~ = {\color{red}  15,927 }~dag
\item   709,76 ~mL~ = {\color{red}  0,000 709 76 }~kL
\item   538,88 ~cg~ = {\color{red}  0,005 388 8 }~kg
\item   7 084,9 ~dam~ = {\color{red}  70 849 000 }~mm
\item   184,38 ~hm~ = {\color{red}  1 843 800 }~cm
\item   576,56 ~L~ = {\color{red}  57 656 }~cL
\item   6 737,6 ~km~ = {\color{red}  673 760 }~dam
\item   935,9 ~km~ = {\color{red}  9 359 000 }~dm
\item   8 892,6 ~daL~ = {\color{red}  889,26 }~hL
\item   6 930,8 ~mL~ = {\color{red}  693,08 }~cL
\end{itemize}
\end{multicols}
\end{document}
