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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{20}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   1,05  ~ \(\times\)  ~ 1 000
\item   0,007  ~ \(\times\)  ~ 10
\item   47  ~ \(\times\)  ~ 100
\item   437  ~ \(\times\)  ~ 10
\item   0,01  ~ \(\times\)  ~ 100
\item   0,007  ~ \(\times\)  ~ 10
\item   97,9  ~ \(\times\)  ~ 1 000
\item   0,065  ~ \(\times\)  ~ 10
\item   0,06  ~ \(\times\)  ~ 100
\item   5,9  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   922,1  ~ : ~ 100
\item   696,8  ~ : ~ 1 000
\item   20,3  ~ : ~ 1 000
\item   3 062  ~ : ~ 1 000
\item   945,9  ~ : ~ 100
\item   1 697  ~ : ~ 1 000
\item   107,7  ~ : ~ 100
\item   8,812  ~ : ~ 100
\item   7,729  ~ : ~ 100
\item   501,2  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   72,4  ~ \(\times\)  ~ ... ~ = ~ 724
\item   5,97  ~ \(\times\)  ~ ... ~ = ~ 5 970
\item   5,15  ~ \(\times\)  ~ ... ~ = ~ 5 150
\item   4,68  ~ \(\times\)  ~ ... ~ = ~ 4 680
\item   83  ~ \(\times\)  ~ ... ~ = ~ 83 000
\item   43,7  ~ \(\times\)  ~ ... ~ = ~ 4 370
\item   0,164  ~ \(\times\)  ~ ... ~ = ~ 16,4
\item   49  ~ \(\times\)  ~ ... ~ = ~ 49 000
\item   5,95  ~ \(\times\)  ~ ... ~ = ~ 595
\item   7,2  ~ \(\times\)  ~ ... ~ = ~ 7 200
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,238  ~ \(\times\)  ~ 0,1
\item   16,34  ~ \(\times\)  ~ 0,01
\item   1 165  ~ \(\times\)  ~ 0,001
\item   5,173  ~ \(\times\)  ~ 0,01
\item   64,21  ~ \(\times\)  ~ 0,1
\item   76,65  ~ \(\times\)  ~ 0,1
\item   2,019  ~ \(\times\)  ~ 0,1
\item   36,76  ~ \(\times\)  ~ 0,1
\item   4,157  ~ \(\times\)  ~ 0,01
\item   8 235  ~ \(\times\)  ~ 0,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,46  ~ \(\times\)  ~ ... ~ = ~  0,007 46
\item   465,3  ~ \(\times\)  ~ ... ~ = ~  4,653
\item   91,15  ~ \(\times\)  ~ ... ~ = ~  0,091 15
\item   69,05  ~ \(\times\)  ~ ... ~ = ~  0,069 05
\item   633,4  ~ \(\times\)  ~ ... ~ = ~  63,34
\item   146  ~ \(\times\)  ~ ... ~ = ~  14,6
\item   390,1  ~ \(\times\)  ~ ... ~ = ~  39,01
\item   804,6  ~ \(\times\)  ~ ... ~ = ~  8,046
\item   4 720  ~ \(\times\)  ~ ... ~ = ~  472
\item   69,65  ~ \(\times\)  ~ ... ~ = ~  0,069 65
\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~ = ...~km
\item   1 ~cm~ = ...~dam
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~m
\item   1 ~km~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   721,89 ~hg~ = ...~g
\item   5 252,7 ~mm~ = ...~hm
\item   245,04 ~hg~ = ...~mg
\item   451,06 ~dam~ = ...~km
\item   5 890,4 ~dg~ = ...~cg
\item   2 032,7 ~kg~ = ...~dg
\item   879,76 ~hm~ = ...~mm
\item   2 484,4 ~daL~ = ...~L
\item   679,86 ~mg~ = ...~dag
\item   459,19 ~daL~ = ...~dL
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{6100}{100}\) = \(\dfrac{610}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{20}{10}\) = \(\dfrac{200}{100}\)
\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   1,05  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 050}
\item   0,007  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,07}
\item   47  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 700}
\item   437  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 370}
\item   0,01  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1}
\item   0,007  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,07}
\item   97,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 97 900}
\item   0,065  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,65}
\item   0,06  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6}
\item   5,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 59}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   922,1 ~ : ~ 100 ~ = ~{\color{red} 9,221}
\item   696,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,696 8}
\item   20,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,020 3}
\item   3 062 ~ : ~ 1 000 ~ = ~{\color{red} 3,062}
\item   945,9 ~ : ~ 100 ~ = ~{\color{red} 9,459}
\item   1 697 ~ : ~ 1 000 ~ = ~{\color{red} 1,697}
\item   107,7 ~ : ~ 100 ~ = ~{\color{red} 1,077}
\item   8,812 ~ : ~ 100 ~ = ~{\color{red} 0,088 12}
\item   7,729 ~ : ~ 100 ~ = ~{\color{red} 0,077 29}
\item   501,2 ~ : ~ 10 ~ = ~{\color{red} 50,12}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   72,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~724
\item   5,97 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 970
\item   5,15 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 150
\item   4,68 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 680
\item   83 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~83 000
\item   43,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 370
\item   0,164 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~16,4
\item   49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49 000
\item   5,95 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~595
\item   7,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 200
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,238 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,823 8
}\item   16,34 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,163 4
}\item   1 165 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,165
}\item   5,173 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,051 73
}\item   64,21 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,421
}\item   76,65 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,665
}\item   2,019 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,201 9
}\item   36,76 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,676
}\item   4,157 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,041 57
}\item   8 235 ~ \(\times\)  0,1 ~ = ~{\color{red} 823,5
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,46 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 46
\item   465,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,653
\item   91,15 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,091 15
\item   69,05 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,069 05
\item   633,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 63,34
\item   146 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 14,6
\item   390,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 39,01
\item   804,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,046
\item   4 720 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 472
\item   69,65 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,069 65
\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~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   721,89 ~hg~ = {\color{red}  72 189 }~g
\item   5 252,7 ~mm~ = {\color{red}  0,052 527 }~hm
\item   245,04 ~hg~ = {\color{red}  24 504 000 }~mg
\item   451,06 ~dam~ = {\color{red}  4,510 6 }~km
\item   5 890,4 ~dg~ = {\color{red}  58 904 }~cg
\item   2 032,7 ~kg~ = {\color{red}  20 327 000 }~dg
\item   879,76 ~hm~ = {\color{red}  87 976 000 }~mm
\item   2 484,4 ~daL~ = {\color{red}  24 844 }~L
\item   679,86 ~mg~ = {\color{red}  0,067 986 }~dag
\item   459,19 ~daL~ = {\color{red}  45 919 }~dL
\end{itemize}
\end{multicols}
\end{document}
