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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{84}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   93,6  ~ \(\times\)  ~ 10
\item   0,43  ~ \(\times\)  ~ 10
\item   11,4  ~ \(\times\)  ~ 100
\item   0,049  ~ \(\times\)  ~ 100
\item   43  ~ \(\times\)  ~ 10
\item   3,33  ~ \(\times\)  ~ 100
\item   446  ~ \(\times\)  ~ 1 000
\item   0,539  ~ \(\times\)  ~ 100
\item   9,2  ~ \(\times\)  ~ 1 000
\item   257  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 649  ~ : ~ 10
\item   42,53  ~ : ~ 100
\item   430,8  ~ : ~ 1 000
\item   2 029  ~ : ~ 100
\item   393,4  ~ : ~ 1 000
\item   3 993  ~ : ~ 10
\item   50,28  ~ : ~ 10
\item   5,603  ~ : ~ 10
\item   4,586  ~ : ~ 10
\item   2,798  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   892  ~ \(\times\)  ~ ... ~ = ~ 892 000
\item   0,014  ~ \(\times\)  ~ ... ~ = ~ 1,4
\item   36,2  ~ \(\times\)  ~ ... ~ = ~ 362
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 0,94
\item   54  ~ \(\times\)  ~ ... ~ = ~ 5 400
\item   18,5  ~ \(\times\)  ~ ... ~ = ~ 185
\item   1,26  ~ \(\times\)  ~ ... ~ = ~ 12,6
\item   8,38  ~ \(\times\)  ~ ... ~ = ~ 8 380
\item   0,756  ~ \(\times\)  ~ ... ~ = ~ 75,6
\item   552  ~ \(\times\)  ~ ... ~ = ~ 552 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 789  ~ \(\times\)  ~ 0,01
\item   92,31  ~ \(\times\)  ~ 0,1
\item   1 298  ~ \(\times\)  ~ 0,1
\item   55,53  ~ \(\times\)  ~ 0,001
\item   15,08  ~ \(\times\)  ~ 0,001
\item   827  ~ \(\times\)  ~ 0,1
\item   3 699  ~ \(\times\)  ~ 0,1
\item   49  ~ \(\times\)  ~ 0,01
\item   2,165  ~ \(\times\)  ~ 0,01
\item   1,89  ~ \(\times\)  ~ 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   367,2  ~ \(\times\)  ~ ... ~ = ~  36,72
\item   3 810  ~ \(\times\)  ~ ... ~ = ~  38,1
\item   2,155  ~ \(\times\)  ~ ... ~ = ~  0,215 5
\item   1,456  ~ \(\times\)  ~ ... ~ = ~  0,014 56
\item   15,4  ~ \(\times\)  ~ ... ~ = ~  1,54
\item   5,201  ~ \(\times\)  ~ ... ~ = ~  0,520 1
\item   495,8  ~ \(\times\)  ~ ... ~ = ~  4,958
\item   498,7  ~ \(\times\)  ~ ... ~ = ~  0,498 7
\item   1 717  ~ \(\times\)  ~ ... ~ = ~  17,17
\item   1,113  ~ \(\times\)  ~ ... ~ = ~  0,011 13
\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~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 625,7 ~cg~ = ...~kg
\item   9 681,5 ~km~ = ...~cm
\item   3 562,8 ~daL~ = ...~L
\item   231,3 ~hg~ = ...~kg
\item   4 942,6 ~m~ = ...~dam
\item   335,32 ~hm~ = ...~km
\item   8 213,1 ~dag~ = ...~g
\item   445,4 ~mm~ = ...~cm
\item   3 139,2 ~cL~ = ...~hL
\item   774,21 ~g~ = ...~dg
\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   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{970}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{520}{100}\)
\item   \(\dfrac{84}{100}\) = \(\dfrac{840}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   93,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 936}
\item   0,43  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,3}
\item   11,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 140}
\item   0,049  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,9}
\item   43  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 430}
\item   3,33  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 333}
\item   446  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 446 000}
\item   0,539  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 53,9}
\item   9,2  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 200}
\item   257  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 570}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 649 ~ : ~ 10 ~ = ~{\color{red} 164,9}
\item   42,53 ~ : ~ 100 ~ = ~{\color{red} 0,425 3}
\item   430,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,430 8}
\item   2 029 ~ : ~ 100 ~ = ~{\color{red} 20,29}
\item   393,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,393 4}
\item   3 993 ~ : ~ 10 ~ = ~{\color{red} 399,3}
\item   50,28 ~ : ~ 10 ~ = ~{\color{red} 5,028}
\item   5,603 ~ : ~ 10 ~ = ~{\color{red} 0,560 3}
\item   4,586 ~ : ~ 10 ~ = ~{\color{red} 0,458 6}
\item   2,798 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 798}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   892 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~892 000
\item   0,014 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,4
\item   36,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~362
\item   0,094 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,94
\item   54 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 400
\item   18,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~185
\item   1,26 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~12,6
\item   8,38 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 380
\item   0,756 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~75,6
\item   552 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~552 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 789 ~ \(\times\)  0,01 ~ = ~{\color{red} 27,89
}\item   92,31 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,231
}\item   1 298 ~ \(\times\)  0,1 ~ = ~{\color{red} 129,8
}\item   55,53 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,055 53
}\item   15,08 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,015 08
}\item   827 ~ \(\times\)  0,1 ~ = ~{\color{red} 82,7
}\item   3 699 ~ \(\times\)  0,1 ~ = ~{\color{red} 369,9
}\item   49 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,49
}\item   2,165 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,021 65
}\item   1,89 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,189
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   367,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 36,72
\item   3 810 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 38,1
\item   2,155 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,215 5
\item   1,456 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,014 56
\item   15,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,54
\item   5,201 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,520 1
\item   495,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,958
\item   498,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,498 7
\item   1 717 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 17,17
\item   1,113 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,011 13
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\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   4 625,7 ~cg~ = {\color{red}  0,046 257 }~kg
\item   9 681,5 ~km~ = {\color{red}  968 150 000 }~cm
\item   3 562,8 ~daL~ = {\color{red}  35 628 }~L
\item   231,3 ~hg~ = {\color{red}  23,13 }~kg
\item   4 942,6 ~m~ = {\color{red}  494,26 }~dam
\item   335,32 ~hm~ = {\color{red}  33,532 }~km
\item   8 213,1 ~dag~ = {\color{red}  82 131 }~g
\item   445,4 ~mm~ = {\color{red}  44,54 }~cm
\item   3 139,2 ~cL~ = {\color{red}  0,313 92 }~hL
\item   774,21 ~g~ = {\color{red}  7 742,1 }~dg
\end{itemize}
\end{multicols}
\end{document}
