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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{32}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{96}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,83  ~ \(\times\)  ~ 100
\item   62,9  ~ \(\times\)  ~ 1 000
\item   0,005  ~ \(\times\)  ~ 1 000
\item   0,171  ~ \(\times\)  ~ 1 000
\item   0,041  ~ \(\times\)  ~ 100
\item   0,566  ~ \(\times\)  ~ 1 000
\item   283  ~ \(\times\)  ~ 10
\item   0,381  ~ \(\times\)  ~ 100
\item   0,938  ~ \(\times\)  ~ 100
\item   0,092  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928,4  ~ : ~ 10
\item   3 879  ~ : ~ 10
\item   542,8  ~ : ~ 10
\item   84,59  ~ : ~ 1 000
\item   927,4  ~ : ~ 100
\item   68,94  ~ : ~ 1 000
\item   58,97  ~ : ~ 100
\item   2,741  ~ : ~ 1 000
\item   766  ~ : ~ 100
\item   4,673  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,36  ~ \(\times\)  ~ ... ~ = ~ 5 360
\item   0,913  ~ \(\times\)  ~ ... ~ = ~ 91,3
\item   0,037  ~ \(\times\)  ~ ... ~ = ~ 37
\item   0,095  ~ \(\times\)  ~ ... ~ = ~ 95
\item   0,476  ~ \(\times\)  ~ ... ~ = ~ 476
\item   2,36  ~ \(\times\)  ~ ... ~ = ~ 2 360
\item   86,4  ~ \(\times\)  ~ ... ~ = ~ 86 400
\item   0,283  ~ \(\times\)  ~ ... ~ = ~ 28,3
\item   0,032  ~ \(\times\)  ~ ... ~ = ~ 32
\item   0,054  ~ \(\times\)  ~ ... ~ = ~ 54
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,733  ~ \(\times\)  ~ 0,01
\item   3,505  ~ \(\times\)  ~ 0,001
\item   6 107  ~ \(\times\)  ~ 0,01
\item   23,8  ~ \(\times\)  ~ 0,001
\item   1 840  ~ \(\times\)  ~ 0,001
\item   9,02  ~ \(\times\)  ~ 0,001
\item   3 813  ~ \(\times\)  ~ 0,001
\item   23,37  ~ \(\times\)  ~ 0,1
\item   3 549  ~ \(\times\)  ~ 0,01
\item   623  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   600,2  ~ \(\times\)  ~ ... ~ = ~  60,02
\item   485  ~ \(\times\)  ~ ... ~ = ~  48,5
\item   1 206  ~ \(\times\)  ~ ... ~ = ~  120,6
\item   4,47  ~ \(\times\)  ~ ... ~ = ~  0,044 7
\item   219,4  ~ \(\times\)  ~ ... ~ = ~  0,219 4
\item   3 111  ~ \(\times\)  ~ ... ~ = ~  31,11
\item   9 758  ~ \(\times\)  ~ ... ~ = ~  975,8
\item   2 581  ~ \(\times\)  ~ ... ~ = ~  258,1
\item   5 740  ~ \(\times\)  ~ ... ~ = ~  57,4
\item   5,625  ~ \(\times\)  ~ ... ~ = ~  0,562 5
\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~ = ...~hm
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~dm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   915,21 ~L~ = ...~dL
\item   649,38 ~mg~ = ...~kg
\item   7 798 ~mm~ = ...~hm
\item   8 627,2 ~cm~ = ...~dm
\item   3 493,4 ~g~ = ...~hg
\item   492,2 ~hm~ = ...~cm
\item   7 823 ~dag~ = ...~cg
\item   583,1 ~mm~ = ...~cm
\item   490,66 ~cg~ = ...~hg
\item   3 419,7 ~m~ = ...~dam
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{2100}{100}\) = \(\dfrac{210}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{32}{10}\) = \(\dfrac{320}{100}\)
\item   \(\dfrac{96}{100}\) = \(\dfrac{960}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,83  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 883}
\item   62,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 62 900}
\item   0,005  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5}
\item   0,171  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 171}
\item   0,041  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,1}
\item   0,566  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 566}
\item   283  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 830}
\item   0,381  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 38,1}
\item   0,938  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 93,8}
\item   0,092  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,92}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928,4 ~ : ~ 10 ~ = ~{\color{red} 92,84}
\item   3 879 ~ : ~ 10 ~ = ~{\color{red} 387,9}
\item   542,8 ~ : ~ 10 ~ = ~{\color{red} 54,28}
\item   84,59 ~ : ~ 1 000 ~ = ~{\color{red} 0,084 59}
\item   927,4 ~ : ~ 100 ~ = ~{\color{red} 9,274}
\item   68,94 ~ : ~ 1 000 ~ = ~{\color{red} 0,068 94}
\item   58,97 ~ : ~ 100 ~ = ~{\color{red} 0,589 7}
\item   2,741 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 741}
\item   766 ~ : ~ 100 ~ = ~{\color{red} 7,66}
\item   4,673 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 673}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,36 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 360
\item   0,913 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~91,3
\item   0,037 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~37
\item   0,095 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~95
\item   0,476 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~476
\item   2,36 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 360
\item   86,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~86 400
\item   0,283 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~28,3
\item   0,032 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~32
\item   0,054 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~54
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,733 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,097 33
}\item   3,505 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 505
}\item   6 107 ~ \(\times\)  0,01 ~ = ~{\color{red} 61,07
}\item   23,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,023 8
}\item   1 840 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,84
}\item   9,02 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 02
}\item   3 813 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,813
}\item   23,37 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,337
}\item   3 549 ~ \(\times\)  0,01 ~ = ~{\color{red} 35,49
}\item   623 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,23
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   600,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 60,02
\item   485 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 48,5
\item   1 206 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 120,6
\item   4,47 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,044 7
\item   219,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,219 4
\item   3 111 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 31,11
\item   9 758 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 975,8
\item   2 581 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 258,1
\item   5 740 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 57,4
\item   5,625 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,562 5
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   915,21 ~L~ = {\color{red}  9 152,1 }~dL
\item   649,38 ~mg~ = {\color{red}  0,000 649 38 }~kg
\item   7 798 ~mm~ = {\color{red}  0,077 98 }~hm
\item   8 627,2 ~cm~ = {\color{red}  862,72 }~dm
\item   3 493,4 ~g~ = {\color{red}  34,934 }~hg
\item   492,2 ~hm~ = {\color{red}  4 922 000 }~cm
\item   7 823 ~dag~ = {\color{red}  7 823 000 }~cg
\item   583,1 ~mm~ = {\color{red}  58,31 }~cm
\item   490,66 ~cg~ = {\color{red}  0,049 066 }~hg
\item   3 419,7 ~m~ = {\color{red}  341,97 }~dam
\end{itemize}
\end{multicols}
\end{document}
