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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   101  ~ \(\times\)  ~ 10
\item   0,042  ~ \(\times\)  ~ 100
\item   828  ~ \(\times\)  ~ 10
\item   0,054  ~ \(\times\)  ~ 100
\item   29,2  ~ \(\times\)  ~ 10
\item   27,7  ~ \(\times\)  ~ 10
\item   8,57  ~ \(\times\)  ~ 100
\item   20,7  ~ \(\times\)  ~ 100
\item   3,05  ~ \(\times\)  ~ 10
\item   0,087  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   645,6  ~ : ~ 10
\item   4,153  ~ : ~ 100
\item   15,64  ~ : ~ 10
\item   48,84  ~ : ~ 1 000
\item   3,297  ~ : ~ 100
\item   4,822  ~ : ~ 100
\item   274,4  ~ : ~ 100
\item   4 355  ~ : ~ 10
\item   0,859  ~ : ~ 1 000
\item   4,695  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36  ~ \(\times\)  ~ ... ~ = ~ 36 000
\item   209  ~ \(\times\)  ~ ... ~ = ~ 20 900
\item   94,4  ~ \(\times\)  ~ ... ~ = ~ 94 400
\item   0,656  ~ \(\times\)  ~ ... ~ = ~ 65,6
\item   1,97  ~ \(\times\)  ~ ... ~ = ~ 197
\item   0,077  ~ \(\times\)  ~ ... ~ = ~ 7,7
\item   0,066  ~ \(\times\)  ~ ... ~ = ~ 0,66
\item   9,35  ~ \(\times\)  ~ ... ~ = ~ 93,5
\item   868  ~ \(\times\)  ~ ... ~ = ~ 868 000
\item   2,43  ~ \(\times\)  ~ ... ~ = ~ 2 430
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 990  ~ \(\times\)  ~ 0,01
\item   30,09  ~ \(\times\)  ~ 0,01
\item   521  ~ \(\times\)  ~ 0,01
\item   14,54  ~ \(\times\)  ~ 0,001
\item   5 460  ~ \(\times\)  ~ 0,01
\item   48,35  ~ \(\times\)  ~ 0,1
\item   6 825  ~ \(\times\)  ~ 0,01
\item   3,237  ~ \(\times\)  ~ 0,01
\item   23,36  ~ \(\times\)  ~ 0,01
\item   27,04  ~ \(\times\)  ~ 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   2,54  ~ \(\times\)  ~ ... ~ = ~  0,254
\item   755,2  ~ \(\times\)  ~ ... ~ = ~  7,552
\item   60,43  ~ \(\times\)  ~ ... ~ = ~  0,060 43
\item   1,691  ~ \(\times\)  ~ ... ~ = ~  0,169 1
\item   704,7  ~ \(\times\)  ~ ... ~ = ~  70,47
\item   1 073  ~ \(\times\)  ~ ... ~ = ~  107,3
\item   286,4  ~ \(\times\)  ~ ... ~ = ~  0,286 4
\item   0,77  ~ \(\times\)  ~ ... ~ = ~  0,000 77
\item   41,81  ~ \(\times\)  ~ ... ~ = ~  4,181
\item   21,04  ~ \(\times\)  ~ ... ~ = ~  0,210 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 ~hm~ = ...~km
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   191,4 ~dL~ = ...~hL
\item   9 981,1 ~dam~ = ...~m
\item   873,68 ~L~ = ...~daL
\item   7 764,2 ~cL~ = ...~L
\item   4 782,1 ~dag~ = ...~kg
\item   5 392,8 ~cm~ = ...~km
\item   751,83 ~dg~ = ...~cg
\item   758,98 ~kg~ = ...~dg
\item   2 193,2 ~m~ = ...~mm
\item   3 975,5 ~g~ = ...~kg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{2400}{100}\) = \(\dfrac{240}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{720}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{300}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   101  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 010}
\item   0,042  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,2}
\item   828  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 280}
\item   0,054  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,4}
\item   29,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 292}
\item   27,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 277}
\item   8,57  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 857}
\item   20,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 070}
\item   3,05  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 30,5}
\item   0,087  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   645,6 ~ : ~ 10 ~ = ~{\color{red} 64,56}
\item   4,153 ~ : ~ 100 ~ = ~{\color{red} 0,041 53}
\item   15,64 ~ : ~ 10 ~ = ~{\color{red} 1,564}
\item   48,84 ~ : ~ 1 000 ~ = ~{\color{red} 0,048 84}
\item   3,297 ~ : ~ 100 ~ = ~{\color{red} 0,032 97}
\item   4,822 ~ : ~ 100 ~ = ~{\color{red} 0,048 22}
\item   274,4 ~ : ~ 100 ~ = ~{\color{red} 2,744}
\item   4 355 ~ : ~ 10 ~ = ~{\color{red} 435,5}
\item   0,859 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 859}
\item   4,695 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 695}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~36 000
\item   209 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~20 900
\item   94,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~94 400
\item   0,656 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~65,6
\item   1,97 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~197
\item   0,077 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,7
\item   0,066 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,66
\item   9,35 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~93,5
\item   868 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~868 000
\item   2,43 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 430
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 990 ~ \(\times\)  0,01 ~ = ~{\color{red} 39,9
}\item   30,09 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,300 9
}\item   521 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,21
}\item   14,54 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,014 54
}\item   5 460 ~ \(\times\)  0,01 ~ = ~{\color{red} 54,6
}\item   48,35 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,835
}\item   6 825 ~ \(\times\)  0,01 ~ = ~{\color{red} 68,25
}\item   3,237 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,032 37
}\item   23,36 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,233 6
}\item   27,04 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,027 04
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,54 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,254
\item   755,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,552
\item   60,43 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,060 43
\item   1,691 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,169 1
\item   704,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 70,47
\item   1 073 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 107,3
\item   286,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,286 4
\item   0,77 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 77
\item   41,81 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,181
\item   21,04 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,210 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 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   191,4 ~dL~ = {\color{red}  0,191 4 }~hL
\item   9 981,1 ~dam~ = {\color{red}  99 811 }~m
\item   873,68 ~L~ = {\color{red}  87,368 }~daL
\item   7 764,2 ~cL~ = {\color{red}  77,642 }~L
\item   4 782,1 ~dag~ = {\color{red}  47,821 }~kg
\item   5 392,8 ~cm~ = {\color{red}  0,053 928 }~km
\item   751,83 ~dg~ = {\color{red}  7 518,3 }~cg
\item   758,98 ~kg~ = {\color{red}  7 589 800 }~dg
\item   2 193,2 ~m~ = {\color{red}  2 193 200 }~mm
\item   3 975,5 ~g~ = {\color{red}  3,975 5 }~kg
\end{itemize}
\end{multicols}
\end{document}
