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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{48}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,683  ~ \(\times\)  ~ 100
\item   0,486  ~ \(\times\)  ~ 100
\item   805  ~ \(\times\)  ~ 100
\item   2,37  ~ \(\times\)  ~ 100
\item   8,36  ~ \(\times\)  ~ 100
\item   0,083  ~ \(\times\)  ~ 10
\item   0,017  ~ \(\times\)  ~ 1 000
\item   6,88  ~ \(\times\)  ~ 10
\item   19  ~ \(\times\)  ~ 10
\item   6,18  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,64  ~ : ~ 10
\item   6,357  ~ : ~ 1 000
\item   7 287  ~ : ~ 1 000
\item   19,28  ~ : ~ 10
\item   1,652  ~ : ~ 1 000
\item   32,76  ~ : ~ 100
\item   3,675  ~ : ~ 100
\item   83  ~ : ~ 10
\item   2 086  ~ : ~ 100
\item   4 699  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,174  ~ \(\times\)  ~ ... ~ = ~ 1,74
\item   0,071  ~ \(\times\)  ~ ... ~ = ~ 71
\item   0,104  ~ \(\times\)  ~ ... ~ = ~ 10,4
\item   71  ~ \(\times\)  ~ ... ~ = ~ 71 000
\item   0,404  ~ \(\times\)  ~ ... ~ = ~ 40,4
\item   0,505  ~ \(\times\)  ~ ... ~ = ~ 50,5
\item   0,044  ~ \(\times\)  ~ ... ~ = ~ 0,44
\item   0,271  ~ \(\times\)  ~ ... ~ = ~ 27,1
\item   0,25  ~ \(\times\)  ~ ... ~ = ~ 250
\item   0,97  ~ \(\times\)  ~ ... ~ = ~ 9,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   942,5  ~ \(\times\)  ~ 0,01
\item   4,472  ~ \(\times\)  ~ 0,1
\item   6,747  ~ \(\times\)  ~ 0,1
\item   57,94  ~ \(\times\)  ~ 0,01
\item   44,18  ~ \(\times\)  ~ 0,01
\item   878,5  ~ \(\times\)  ~ 0,1
\item   9,274  ~ \(\times\)  ~ 0,01
\item   1,663  ~ \(\times\)  ~ 0,1
\item   67  ~ \(\times\)  ~ 0,01
\item   513  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,02  ~ \(\times\)  ~ ... ~ = ~  0,084 02
\item   59,7  ~ \(\times\)  ~ ... ~ = ~  5,97
\item   67,6  ~ \(\times\)  ~ ... ~ = ~  6,76
\item   13  ~ \(\times\)  ~ ... ~ = ~  0,13
\item   83,03  ~ \(\times\)  ~ ... ~ = ~  8,303
\item   417,4  ~ \(\times\)  ~ ... ~ = ~  0,417 4
\item   55,4  ~ \(\times\)  ~ ... ~ = ~  0,055 4
\item   6 142  ~ \(\times\)  ~ ... ~ = ~  6,142
\item   986,3  ~ \(\times\)  ~ ... ~ = ~  0,986 3
\item   33,34  ~ \(\times\)  ~ ... ~ = ~  0,333 4
\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~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~dm
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 442,6 ~cL~ = ...~dL
\item   564,28 ~dg~ = ...~cg
\item   198,45 ~L~ = ...~hL
\item   117,49 ~g~ = ...~hg
\item   5 743,1 ~daL~ = ...~cL
\item   4 426,9 ~dL~ = ...~mL
\item   993,46 ~cL~ = ...~daL
\item   932,12 ~kL~ = ...~hL
\item   4 994,7 ~g~ = ...~dg
\item   932,92 ~L~ = ...~daL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{450}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{48}{10}\) = \(\dfrac{480}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{200}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,683  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 68,3}
\item   0,486  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 48,6}
\item   805  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 80 500}
\item   2,37  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 237}
\item   8,36  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 836}
\item   0,083  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,83}
\item   0,017  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 17}
\item   6,88  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 68,8}
\item   19  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 190}
\item   6,18  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 61,8}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,64 ~ : ~ 10 ~ = ~{\color{red} 1,464}
\item   6,357 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 357}
\item   7 287 ~ : ~ 1 000 ~ = ~{\color{red} 7,287}
\item   19,28 ~ : ~ 10 ~ = ~{\color{red} 1,928}
\item   1,652 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 652}
\item   32,76 ~ : ~ 100 ~ = ~{\color{red} 0,327 6}
\item   3,675 ~ : ~ 100 ~ = ~{\color{red} 0,036 75}
\item   83 ~ : ~ 10 ~ = ~{\color{red} 8,3}
\item   2 086 ~ : ~ 100 ~ = ~{\color{red} 20,86}
\item   4 699 ~ : ~ 10 ~ = ~{\color{red} 469,9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,174 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,74
\item   0,071 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~71
\item   0,104 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~10,4
\item   71 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~71 000
\item   0,404 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~40,4
\item   0,505 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~50,5
\item   0,044 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,44
\item   0,271 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~27,1
\item   0,25 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~250
\item   0,97 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   942,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,425
}\item   4,472 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,447 2
}\item   6,747 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,674 7
}\item   57,94 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,579 4
}\item   44,18 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,441 8
}\item   878,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 87,85
}\item   9,274 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,092 74
}\item   1,663 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,166 3
}\item   67 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,67
}\item   513 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,513
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,02 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,084 02
\item   59,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,97
\item   67,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,76
\item   13 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,13
\item   83,03 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,303
\item   417,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,417 4
\item   55,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,055 4
\item   6 142 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,142
\item   986,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,986 3
\item   33,34 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,333 4
\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}  10 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 442,6 ~cL~ = {\color{red}  844,26 }~dL
\item   564,28 ~dg~ = {\color{red}  5 642,8 }~cg
\item   198,45 ~L~ = {\color{red}  1,984 5 }~hL
\item   117,49 ~g~ = {\color{red}  1,174 9 }~hg
\item   5 743,1 ~daL~ = {\color{red}  5 743 100 }~cL
\item   4 426,9 ~dL~ = {\color{red}  442 690 }~mL
\item   993,46 ~cL~ = {\color{red}  0,993 46 }~daL
\item   932,12 ~kL~ = {\color{red}  9 321,2 }~hL
\item   4 994,7 ~g~ = {\color{red}  49 947 }~dg
\item   932,92 ~L~ = {\color{red}  93,292 }~daL
\end{itemize}
\end{multicols}
\end{document}
