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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 383}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{24}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,1  ~ \(\times\)  ~ 100
\item   74,6  ~ \(\times\)  ~ 10
\item   72,6  ~ \(\times\)  ~ 100
\item   561  ~ \(\times\)  ~ 1 000
\item   0,15  ~ \(\times\)  ~ 1 000
\item   0,022  ~ \(\times\)  ~ 100
\item   0,597  ~ \(\times\)  ~ 100
\item   0,043  ~ \(\times\)  ~ 1 000
\item   0,351  ~ \(\times\)  ~ 10
\item   0,002  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   825  ~ : ~ 10
\item   32  ~ : ~ 100
\item   34,28  ~ : ~ 10
\item   690  ~ : ~ 100
\item   779,1  ~ : ~ 1 000
\item   409  ~ : ~ 1 000
\item   91,67  ~ : ~ 100
\item   688,4  ~ : ~ 10
\item   46,64  ~ : ~ 100
\item   56,9  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   99  ~ \(\times\)  ~ ... ~ = ~ 990
\item   0,217  ~ \(\times\)  ~ ... ~ = ~ 21,7
\item   0,827  ~ \(\times\)  ~ ... ~ = ~ 82,7
\item   0,96  ~ \(\times\)  ~ ... ~ = ~ 960
\item   442  ~ \(\times\)  ~ ... ~ = ~ 44 200
\item   131  ~ \(\times\)  ~ ... ~ = ~ 13 100
\item   7,44  ~ \(\times\)  ~ ... ~ = ~ 74,4
\item   4,81  ~ \(\times\)  ~ ... ~ = ~ 4 810
\item   63,2  ~ \(\times\)  ~ ... ~ = ~ 632
\item   19,4  ~ \(\times\)  ~ ... ~ = ~ 194
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   90,6  ~ \(\times\)  ~ 0,001
\item   172,7  ~ \(\times\)  ~ 0,001
\item   9 624  ~ \(\times\)  ~ 0,001
\item   8 606  ~ \(\times\)  ~ 0,01
\item   5 350  ~ \(\times\)  ~ 0,001
\item   7,192  ~ \(\times\)  ~ 0,01
\item   147  ~ \(\times\)  ~ 0,01
\item   7,618  ~ \(\times\)  ~ 0,001
\item   4 783  ~ \(\times\)  ~ 0,1
\item   273,5  ~ \(\times\)  ~ 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   41,31  ~ \(\times\)  ~ ... ~ = ~  0,041 31
\item   32  ~ \(\times\)  ~ ... ~ = ~  3,2
\item   8 235  ~ \(\times\)  ~ ... ~ = ~  82,35
\item   4 471  ~ \(\times\)  ~ ... ~ = ~  447,1
\item   8,516  ~ \(\times\)  ~ ... ~ = ~  0,085 16
\item   91,22  ~ \(\times\)  ~ ... ~ = ~  0,912 2
\item   6,13  ~ \(\times\)  ~ ... ~ = ~  0,613
\item   8,543  ~ \(\times\)  ~ ... ~ = ~  0,085 43
\item   6 334  ~ \(\times\)  ~ ... ~ = ~  633,4
\item   3,837  ~ \(\times\)  ~ ... ~ = ~  0,383 7
\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~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 250,1 ~hL~ = ...~dL
\item   241,71 ~dam~ = ...~m
\item   648,47 ~mg~ = ...~dag
\item   7 542,2 ~km~ = ...~cm
\item   482,01 ~m~ = ...~cm
\item   973,92 ~km~ = ...~m
\item   3 758,8 ~hm~ = ...~m
\item   8 886,9 ~mm~ = ...~km
\item   923,21 ~dg~ = ...~g
\item   283,39 ~dm~ = ...~hm
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{2900}{100}\) = \(\dfrac{290}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{720}{100}\)
\item   \(\dfrac{24}{100}\) = \(\dfrac{240}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 810}
\item   74,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 746}
\item   72,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 260}
\item   561  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 561 000}
\item   0,15  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 150}
\item   0,022  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,2}
\item   0,597  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 59,7}
\item   0,043  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 43}
\item   0,351  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,51}
\item   0,002  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   825 ~ : ~ 10 ~ = ~{\color{red} 82,5}
\item   32 ~ : ~ 100 ~ = ~{\color{red} 0,32}
\item   34,28 ~ : ~ 10 ~ = ~{\color{red} 3,428}
\item   690 ~ : ~ 100 ~ = ~{\color{red} 6,9}
\item   779,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,779 1}
\item   409 ~ : ~ 1 000 ~ = ~{\color{red} 0,409}
\item   91,67 ~ : ~ 100 ~ = ~{\color{red} 0,916 7}
\item   688,4 ~ : ~ 10 ~ = ~{\color{red} 68,84}
\item   46,64 ~ : ~ 100 ~ = ~{\color{red} 0,466 4}
\item   56,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,056 9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   99 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~990
\item   0,217 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~21,7
\item   0,827 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~82,7
\item   0,96 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~960
\item   442 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~44 200
\item   131 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~13 100
\item   7,44 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~74,4
\item   4,81 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 810
\item   63,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~632
\item   19,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~194
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   90,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,090 6
}\item   172,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,172 7
}\item   9 624 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,624
}\item   8 606 ~ \(\times\)  0,01 ~ = ~{\color{red} 86,06
}\item   5 350 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,35
}\item   7,192 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,071 92
}\item   147 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,47
}\item   7,618 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 618
}\item   4 783 ~ \(\times\)  0,1 ~ = ~{\color{red} 478,3
}\item   273,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 27,35
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   41,31 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,041 31
\item   32 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,2
\item   8 235 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 82,35
\item   4 471 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 447,1
\item   8,516 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,085 16
\item   91,22 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,912 2
\item   6,13 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,613
\item   8,543 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,085 43
\item   6 334 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 633,4
\item   3,837 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,383 7
\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~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 250,1 ~hL~ = {\color{red}  8 250 100 }~dL
\item   241,71 ~dam~ = {\color{red}  2 417,1 }~m
\item   648,47 ~mg~ = {\color{red}  0,064 847 }~dag
\item   7 542,2 ~km~ = {\color{red}  754 220 000 }~cm
\item   482,01 ~m~ = {\color{red}  48 201 }~cm
\item   973,92 ~km~ = {\color{red}  973 920 }~m
\item   3 758,8 ~hm~ = {\color{red}  375 880 }~m
\item   8 886,9 ~mm~ = {\color{red}  0,008 886 9 }~km
\item   923,21 ~dg~ = {\color{red}  92,321 }~g
\item   283,39 ~dm~ = {\color{red}  0,283 39 }~hm
\end{itemize}
\end{multicols}
\end{document}
