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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,044  ~ \(\times\)  ~ 1 000
\item   9,43  ~ \(\times\)  ~ 10
\item   0,364  ~ \(\times\)  ~ 1 000
\item   93,9  ~ \(\times\)  ~ 1 000
\item   0,035  ~ \(\times\)  ~ 100
\item   48,5  ~ \(\times\)  ~ 1 000
\item   0,071  ~ \(\times\)  ~ 1 000
\item   8,16  ~ \(\times\)  ~ 10
\item   7,6  ~ \(\times\)  ~ 100
\item   69,7  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   74,58  ~ : ~ 10
\item   58,22  ~ : ~ 100
\item   6 248  ~ : ~ 1 000
\item   8,544  ~ : ~ 100
\item   163,8  ~ : ~ 1 000
\item   42,97  ~ : ~ 1 000
\item   134,2  ~ : ~ 10
\item   31,61  ~ : ~ 10
\item   3 533  ~ : ~ 1 000
\item   368,7  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,032  ~ \(\times\)  ~ ... ~ = ~ 0,32
\item   2,61  ~ \(\times\)  ~ ... ~ = ~ 261
\item   39  ~ \(\times\)  ~ ... ~ = ~ 3 900
\item   64,3  ~ \(\times\)  ~ ... ~ = ~ 643
\item   0,08  ~ \(\times\)  ~ ... ~ = ~ 8
\item   8,83  ~ \(\times\)  ~ ... ~ = ~ 883
\item   554  ~ \(\times\)  ~ ... ~ = ~ 55 400
\item   0,19  ~ \(\times\)  ~ ... ~ = ~ 1,9
\item   76,6  ~ \(\times\)  ~ ... ~ = ~ 76 600
\item   493  ~ \(\times\)  ~ ... ~ = ~ 493 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,17  ~ \(\times\)  ~ 0,1
\item   11,1  ~ \(\times\)  ~ 0,1
\item   7 227  ~ \(\times\)  ~ 0,1
\item   7,08  ~ \(\times\)  ~ 0,1
\item   21,12  ~ \(\times\)  ~ 0,001
\item   3,951  ~ \(\times\)  ~ 0,001
\item   8 728  ~ \(\times\)  ~ 0,01
\item   62,11  ~ \(\times\)  ~ 0,001
\item   62,47  ~ \(\times\)  ~ 0,01
\item   867,1  ~ \(\times\)  ~ 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   3 644  ~ \(\times\)  ~ ... ~ = ~  36,44
\item   4 410  ~ \(\times\)  ~ ... ~ = ~  44,1
\item   115  ~ \(\times\)  ~ ... ~ = ~  0,115
\item   528  ~ \(\times\)  ~ ... ~ = ~  0,528
\item   36,67  ~ \(\times\)  ~ ... ~ = ~  0,366 7
\item   971,3  ~ \(\times\)  ~ ... ~ = ~  97,13
\item   2 159  ~ \(\times\)  ~ ... ~ = ~  2,159
\item   9,371  ~ \(\times\)  ~ ... ~ = ~  0,009 371
\item   13,71  ~ \(\times\)  ~ ... ~ = ~  1,371
\item   357,6  ~ \(\times\)  ~ ... ~ = ~  0,357 6
\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~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 949,2 ~hm~ = ...~dm
\item   3 926 ~m~ = ...~hm
\item   9 298,3 ~L~ = ...~dL
\item   371,72 ~g~ = ...~mg
\item   664,9 ~dag~ = ...~kg
\item   5 631,2 ~hg~ = ...~dag
\item   2 144,2 ~hL~ = ...~daL
\item   2 287,4 ~mm~ = ...~dm
\item   869,21 ~km~ = ...~dm
\item   185,29 ~mL~ = ...~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   3 = \(\dfrac{30}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{3900}{100}\) = \(\dfrac{390}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{130}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{350}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,044  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 44}
\item   9,43  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 94,3}
\item   0,364  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 364}
\item   93,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 93 900}
\item   0,035  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,5}
\item   48,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 48 500}
\item   0,071  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 71}
\item   8,16  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 81,6}
\item   7,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 760}
\item   69,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 69 700}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   74,58 ~ : ~ 10 ~ = ~{\color{red} 7,458}
\item   58,22 ~ : ~ 100 ~ = ~{\color{red} 0,582 2}
\item   6 248 ~ : ~ 1 000 ~ = ~{\color{red} 6,248}
\item   8,544 ~ : ~ 100 ~ = ~{\color{red} 0,085 44}
\item   163,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,163 8}
\item   42,97 ~ : ~ 1 000 ~ = ~{\color{red} 0,042 97}
\item   134,2 ~ : ~ 10 ~ = ~{\color{red} 13,42}
\item   31,61 ~ : ~ 10 ~ = ~{\color{red} 3,161}
\item   3 533 ~ : ~ 1 000 ~ = ~{\color{red} 3,533}
\item   368,7 ~ : ~ 100 ~ = ~{\color{red} 3,687}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,032 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,32
\item   2,61 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~261
\item   39 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 900
\item   64,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~643
\item   0,08 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8
\item   8,83 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~883
\item   554 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~55 400
\item   0,19 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,9
\item   76,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 600
\item   493 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~493 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,17 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,717
}\item   11,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,11
}\item   7 227 ~ \(\times\)  0,1 ~ = ~{\color{red} 722,7
}\item   7,08 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,708
}\item   21,12 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,021 12
}\item   3,951 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 951
}\item   8 728 ~ \(\times\)  0,01 ~ = ~{\color{red} 87,28
}\item   62,11 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,062 11
}\item   62,47 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,624 7
}\item   867,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 86,71
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 644 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 36,44
\item   4 410 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 44,1
\item   115 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,115
\item   528 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,528
\item   36,67 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,366 7
\item   971,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 97,13
\item   2 159 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,159
\item   9,371 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 371
\item   13,71 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,371
\item   357,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,357 6
\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~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 949,2 ~hm~ = {\color{red}  5 949 200 }~dm
\item   3 926 ~m~ = {\color{red}  39,26 }~hm
\item   9 298,3 ~L~ = {\color{red}  92 983 }~dL
\item   371,72 ~g~ = {\color{red}  371 720 }~mg
\item   664,9 ~dag~ = {\color{red}  6,649 }~kg
\item   5 631,2 ~hg~ = {\color{red}  56 312 }~dag
\item   2 144,2 ~hL~ = {\color{red}  21 442 }~daL
\item   2 287,4 ~mm~ = {\color{red}  22,874 }~dm
\item   869,21 ~km~ = {\color{red}  8 692 100 }~dm
\item   185,29 ~mL~ = {\color{red}  1,852 9 }~dL
\end{itemize}
\end{multicols}
\end{document}
