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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 203}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{14}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{87}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,56  ~ \(\times\)  ~ 1 000
\item   251  ~ \(\times\)  ~ 10
\item   361  ~ \(\times\)  ~ 1 000
\item   92,8  ~ \(\times\)  ~ 10
\item   0,011  ~ \(\times\)  ~ 1 000
\item   9,27  ~ \(\times\)  ~ 1 000
\item   0,028  ~ \(\times\)  ~ 100
\item   46,3  ~ \(\times\)  ~ 100
\item   776  ~ \(\times\)  ~ 100
\item   972  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,856  ~ : ~ 100
\item   3 033  ~ : ~ 10
\item   628,9  ~ : ~ 100
\item   85,09  ~ : ~ 10
\item   80,16  ~ : ~ 1 000
\item   72,06  ~ : ~ 1 000
\item   5 407  ~ : ~ 10
\item   2 954  ~ : ~ 1 000
\item   2 193  ~ : ~ 1 000
\item   1 633  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,29  ~ \(\times\)  ~ ... ~ = ~ 229
\item   8,13  ~ \(\times\)  ~ ... ~ = ~ 813
\item   0,08  ~ \(\times\)  ~ ... ~ = ~ 0,8
\item   5,5  ~ \(\times\)  ~ ... ~ = ~ 550
\item   679  ~ \(\times\)  ~ ... ~ = ~ 67 900
\item   537  ~ \(\times\)  ~ ... ~ = ~ 53 700
\item   1,5  ~ \(\times\)  ~ ... ~ = ~ 150
\item   742  ~ \(\times\)  ~ ... ~ = ~ 742 000
\item   0,022  ~ \(\times\)  ~ ... ~ = ~ 0,22
\item   0,409  ~ \(\times\)  ~ ... ~ = ~ 40,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,64  ~ \(\times\)  ~ 0,01
\item   46,3  ~ \(\times\)  ~ 0,001
\item   8 043  ~ \(\times\)  ~ 0,001
\item   4,067  ~ \(\times\)  ~ 0,1
\item   2 848  ~ \(\times\)  ~ 0,1
\item   3 792  ~ \(\times\)  ~ 0,001
\item   60,6  ~ \(\times\)  ~ 0,1
\item   2,523  ~ \(\times\)  ~ 0,1
\item   42,81  ~ \(\times\)  ~ 0,001
\item   1 480  ~ \(\times\)  ~ 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   37,16  ~ \(\times\)  ~ ... ~ = ~  0,037 16
\item   3,084  ~ \(\times\)  ~ ... ~ = ~  0,308 4
\item   4,527  ~ \(\times\)  ~ ... ~ = ~  0,004 527
\item   2,127  ~ \(\times\)  ~ ... ~ = ~  0,002 127
\item   8 940  ~ \(\times\)  ~ ... ~ = ~  894
\item   70,13  ~ \(\times\)  ~ ... ~ = ~  0,701 3
\item   6 530  ~ \(\times\)  ~ ... ~ = ~  653
\item   423,3  ~ \(\times\)  ~ ... ~ = ~  42,33
\item   3 014  ~ \(\times\)  ~ ... ~ = ~  30,14
\item   2 460  ~ \(\times\)  ~ ... ~ = ~  24,6
\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 ~hm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 885,1 ~hL~ = ...~cL
\item   667,11 ~kL~ = ...~L
\item   382,87 ~dL~ = ...~mL
\item   9 719,5 ~mg~ = ...~dg
\item   6 077,8 ~hg~ = ...~cg
\item   6 152,6 ~cL~ = ...~hL
\item   860,52 ~mL~ = ...~L
\item   249,03 ~L~ = ...~kL
\item   9 977,4 ~cg~ = ...~dg
\item   457,68 ~dag~ = ...~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   2 = \(\dfrac{20}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{730}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{14}{10}\) = \(\dfrac{140}{100}\)
\item   \(\dfrac{87}{100}\) = \(\dfrac{870}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,56  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 560}
\item   251  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 510}
\item   361  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 361 000}
\item   92,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 928}
\item   0,011  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 11}
\item   9,27  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 270}
\item   0,028  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,8}
\item   46,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 630}
\item   776  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 77 600}
\item   972  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 97 200}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,856 ~ : ~ 100 ~ = ~{\color{red} 0,098 56}
\item   3 033 ~ : ~ 10 ~ = ~{\color{red} 303,3}
\item   628,9 ~ : ~ 100 ~ = ~{\color{red} 6,289}
\item   85,09 ~ : ~ 10 ~ = ~{\color{red} 8,509}
\item   80,16 ~ : ~ 1 000 ~ = ~{\color{red} 0,080 16}
\item   72,06 ~ : ~ 1 000 ~ = ~{\color{red} 0,072 06}
\item   5 407 ~ : ~ 10 ~ = ~{\color{red} 540,7}
\item   2 954 ~ : ~ 1 000 ~ = ~{\color{red} 2,954}
\item   2 193 ~ : ~ 1 000 ~ = ~{\color{red} 2,193}
\item   1 633 ~ : ~ 100 ~ = ~{\color{red} 16,33}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,29 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~229
\item   8,13 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~813
\item   0,08 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,8
\item   5,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~550
\item   679 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~67 900
\item   537 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~53 700
\item   1,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~150
\item   742 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~742 000
\item   0,022 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,22
\item   0,409 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~40,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,64 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,026 4
}\item   46,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,046 3
}\item   8 043 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,043
}\item   4,067 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,406 7
}\item   2 848 ~ \(\times\)  0,1 ~ = ~{\color{red} 284,8
}\item   3 792 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,792
}\item   60,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,06
}\item   2,523 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,252 3
}\item   42,81 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,042 81
}\item   1 480 ~ \(\times\)  0,01 ~ = ~{\color{red} 14,8
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,16 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,037 16
\item   3,084 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,308 4
\item   4,527 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 527
\item   2,127 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 127
\item   8 940 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 894
\item   70,13 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,701 3
\item   6 530 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 653
\item   423,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 42,33
\item   3 014 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 30,14
\item   2 460 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 24,6
\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 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 885,1 ~hL~ = {\color{red}  58 851 000 }~cL
\item   667,11 ~kL~ = {\color{red}  667 110 }~L
\item   382,87 ~dL~ = {\color{red}  38 287 }~mL
\item   9 719,5 ~mg~ = {\color{red}  97,195 }~dg
\item   6 077,8 ~hg~ = {\color{red}  60 778 000 }~cg
\item   6 152,6 ~cL~ = {\color{red}  0,615 26 }~hL
\item   860,52 ~mL~ = {\color{red}  0,860 52 }~L
\item   249,03 ~L~ = {\color{red}  0,249 03 }~kL
\item   9 977,4 ~cg~ = {\color{red}  997,74 }~dg
\item   457,68 ~dag~ = {\color{red}  4,576 8 }~kg
\end{itemize}
\end{multicols}
\end{document}
