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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 146}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{31}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,86  ~ \(\times\)  ~ 10
\item   364  ~ \(\times\)  ~ 10
\item   0,684  ~ \(\times\)  ~ 100
\item   0,082  ~ \(\times\)  ~ 1 000
\item   0,891  ~ \(\times\)  ~ 10
\item   3,04  ~ \(\times\)  ~ 10
\item   926  ~ \(\times\)  ~ 10
\item   0,943  ~ \(\times\)  ~ 10
\item   41,1  ~ \(\times\)  ~ 1 000
\item   0,046  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   776  ~ : ~ 100
\item   64,57  ~ : ~ 100
\item   7,397  ~ : ~ 100
\item   819  ~ : ~ 100
\item   9 476  ~ : ~ 10
\item   2 880  ~ : ~ 10
\item   5,576  ~ : ~ 100
\item   811,5  ~ : ~ 1 000
\item   69,63  ~ : ~ 10
\item   21,85  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   327  ~ \(\times\)  ~ ... ~ = ~ 3 270
\item   0,142  ~ \(\times\)  ~ ... ~ = ~ 142
\item   0,282  ~ \(\times\)  ~ ... ~ = ~ 282
\item   0,079  ~ \(\times\)  ~ ... ~ = ~ 79
\item   0,035  ~ \(\times\)  ~ ... ~ = ~ 35
\item   515  ~ \(\times\)  ~ ... ~ = ~ 5 150
\item   324  ~ \(\times\)  ~ ... ~ = ~ 324 000
\item   0,794  ~ \(\times\)  ~ ... ~ = ~ 79,4
\item   0,876  ~ \(\times\)  ~ ... ~ = ~ 8,76
\item   0,882  ~ \(\times\)  ~ ... ~ = ~ 882
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,782  ~ \(\times\)  ~ 0,1
\item   489,8  ~ \(\times\)  ~ 0,001
\item   2,352  ~ \(\times\)  ~ 0,1
\item   58,47  ~ \(\times\)  ~ 0,001
\item   910,3  ~ \(\times\)  ~ 0,001
\item   3,558  ~ \(\times\)  ~ 0,01
\item   850,8  ~ \(\times\)  ~ 0,01
\item   4 422  ~ \(\times\)  ~ 0,1
\item   8,15  ~ \(\times\)  ~ 0,01
\item   4 112  ~ \(\times\)  ~ 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   2 370  ~ \(\times\)  ~ ... ~ = ~  2,37
\item   931  ~ \(\times\)  ~ ... ~ = ~  93,1
\item   9,787  ~ \(\times\)  ~ ... ~ = ~  0,097 87
\item   58,2  ~ \(\times\)  ~ ... ~ = ~  0,058 2
\item   2 758  ~ \(\times\)  ~ ... ~ = ~  275,8
\item   416,2  ~ \(\times\)  ~ ... ~ = ~  4,162
\item   934  ~ \(\times\)  ~ ... ~ = ~  93,4
\item   5 363  ~ \(\times\)  ~ ... ~ = ~  536,3
\item   1 009  ~ \(\times\)  ~ ... ~ = ~  1,009
\item   166,4  ~ \(\times\)  ~ ... ~ = ~  1,664
\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 ~km~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   127,97 ~mm~ = ...~dm
\item   8 369 ~kL~ = ...~cL
\item   4 040,6 ~hL~ = ...~cL
\item   622,28 ~L~ = ...~mL
\item   4 194,5 ~dm~ = ...~km
\item   565,07 ~mg~ = ...~g
\item   911,41 ~dL~ = ...~L
\item   375,02 ~mm~ = ...~hm
\item   8 611,4 ~cL~ = ...~L
\item   115,98 ~daL~ = ...~mL
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{900}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{190}{100}\)
\item   \(\dfrac{31}{100}\) = \(\dfrac{310}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,86  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 58,6}
\item   364  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 640}
\item   0,684  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 68,4}
\item   0,082  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 82}
\item   0,891  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,91}
\item   3,04  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 30,4}
\item   926  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 260}
\item   0,943  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,43}
\item   41,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 41 100}
\item   0,046  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,46}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   776 ~ : ~ 100 ~ = ~{\color{red} 7,76}
\item   64,57 ~ : ~ 100 ~ = ~{\color{red} 0,645 7}
\item   7,397 ~ : ~ 100 ~ = ~{\color{red} 0,073 97}
\item   819 ~ : ~ 100 ~ = ~{\color{red} 8,19}
\item   9 476 ~ : ~ 10 ~ = ~{\color{red} 947,6}
\item   2 880 ~ : ~ 10 ~ = ~{\color{red} 288}
\item   5,576 ~ : ~ 100 ~ = ~{\color{red} 0,055 76}
\item   811,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,811 5}
\item   69,63 ~ : ~ 10 ~ = ~{\color{red} 6,963}
\item   21,85 ~ : ~ 100 ~ = ~{\color{red} 0,218 5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   327 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 270
\item   0,142 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~142
\item   0,282 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~282
\item   0,079 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~79
\item   0,035 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~35
\item   515 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 150
\item   324 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~324 000
\item   0,794 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~79,4
\item   0,876 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,76
\item   0,882 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~882
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,782 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,878 2
}\item   489,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,489 8
}\item   2,352 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,235 2
}\item   58,47 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,058 47
}\item   910,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,910 3
}\item   3,558 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,035 58
}\item   850,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,508
}\item   4 422 ~ \(\times\)  0,1 ~ = ~{\color{red} 442,2
}\item   8,15 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,081 5
}\item   4 112 ~ \(\times\)  0,1 ~ = ~{\color{red} 411,2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 370 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,37
\item   931 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 93,1
\item   9,787 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,097 87
\item   58,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,058 2
\item   2 758 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 275,8
\item   416,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,162
\item   934 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 93,4
\item   5 363 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 536,3
\item   1 009 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,009
\item   166,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,664
\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 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   127,97 ~mm~ = {\color{red}  1,279 7 }~dm
\item   8 369 ~kL~ = {\color{red}  836 900 000 }~cL
\item   4 040,6 ~hL~ = {\color{red}  40 406 000 }~cL
\item   622,28 ~L~ = {\color{red}  622 280 }~mL
\item   4 194,5 ~dm~ = {\color{red}  0,419 45 }~km
\item   565,07 ~mg~ = {\color{red}  0,565 07 }~g
\item   911,41 ~dL~ = {\color{red}  91,141 }~L
\item   375,02 ~mm~ = {\color{red}  0,003 750 2 }~hm
\item   8 611,4 ~cL~ = {\color{red}  86,114 }~L
\item   115,98 ~daL~ = {\color{red}  1 159 800 }~mL
\end{itemize}
\end{multicols}
\end{document}
