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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 301}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{41}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,098  ~ \(\times\)  ~ 100
\item   13  ~ \(\times\)  ~ 1 000
\item   143  ~ \(\times\)  ~ 100
\item   5,75  ~ \(\times\)  ~ 10
\item   65,7  ~ \(\times\)  ~ 100
\item   0,085  ~ \(\times\)  ~ 100
\item   49,1  ~ \(\times\)  ~ 1 000
\item   0,764  ~ \(\times\)  ~ 10
\item   797  ~ \(\times\)  ~ 10
\item   0,852  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   32,87  ~ : ~ 10
\item   9 325  ~ : ~ 1 000
\item   5 285  ~ : ~ 10
\item   585,9  ~ : ~ 100
\item   1 527  ~ : ~ 100
\item   4,803  ~ : ~ 10
\item   164  ~ : ~ 100
\item   7 156  ~ : ~ 1 000
\item   514,7  ~ : ~ 100
\item   8,741  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,6  ~ \(\times\)  ~ ... ~ = ~ 67 600
\item   0,168  ~ \(\times\)  ~ ... ~ = ~ 16,8
\item   94,9  ~ \(\times\)  ~ ... ~ = ~ 949
\item   483  ~ \(\times\)  ~ ... ~ = ~ 4 830
\item   62,2  ~ \(\times\)  ~ ... ~ = ~ 622
\item   3,13  ~ \(\times\)  ~ ... ~ = ~ 313
\item   0,098  ~ \(\times\)  ~ ... ~ = ~ 98
\item   297  ~ \(\times\)  ~ ... ~ = ~ 297 000
\item   0,043  ~ \(\times\)  ~ ... ~ = ~ 4,3
\item   42,2  ~ \(\times\)  ~ ... ~ = ~ 4 220
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   489,3  ~ \(\times\)  ~ 0,01
\item   596,5  ~ \(\times\)  ~ 0,01
\item   787,2  ~ \(\times\)  ~ 0,01
\item   218,9  ~ \(\times\)  ~ 0,01
\item   8 761  ~ \(\times\)  ~ 0,001
\item   106,6  ~ \(\times\)  ~ 0,1
\item   9,336  ~ \(\times\)  ~ 0,001
\item   40,76  ~ \(\times\)  ~ 0,01
\item   84,63  ~ \(\times\)  ~ 0,01
\item   37,37  ~ \(\times\)  ~ 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   2,463  ~ \(\times\)  ~ ... ~ = ~  0,024 63
\item   8,327  ~ \(\times\)  ~ ... ~ = ~  0,832 7
\item   8,527  ~ \(\times\)  ~ ... ~ = ~  0,085 27
\item   955  ~ \(\times\)  ~ ... ~ = ~  0,955
\item   64,64  ~ \(\times\)  ~ ... ~ = ~  0,064 64
\item   1 853  ~ \(\times\)  ~ ... ~ = ~  185,3
\item   489,5  ~ \(\times\)  ~ ... ~ = ~  0,489 5
\item   7,605  ~ \(\times\)  ~ ... ~ = ~  0,076 05
\item   5 723  ~ \(\times\)  ~ ... ~ = ~  57,23
\item   192,9  ~ \(\times\)  ~ ... ~ = ~  0,192 9
\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 ~cm~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   850,63 ~kL~ = ...~cL
\item   4 886 ~kg~ = ...~dag
\item   219,83 ~dam~ = ...~dm
\item   131,4 ~dag~ = ...~g
\item   4 498,3 ~hg~ = ...~dg
\item   650,63 ~hL~ = ...~L
\item   5 350,3 ~g~ = ...~mg
\item   5 282 ~dg~ = ...~dag
\item   3 839,4 ~g~ = ...~hg
\item   6 999,3 ~cg~ = ...~dag
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{800}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{940}{100}\)
\item   \(\dfrac{41}{100}\) = \(\dfrac{410}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,098  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,8}
\item   13  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 13 000}
\item   143  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 14 300}
\item   5,75  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 57,5}
\item   65,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 570}
\item   0,085  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,5}
\item   49,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 49 100}
\item   0,764  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,64}
\item   797  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 970}
\item   0,852  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   32,87 ~ : ~ 10 ~ = ~{\color{red} 3,287}
\item   9 325 ~ : ~ 1 000 ~ = ~{\color{red} 9,325}
\item   5 285 ~ : ~ 10 ~ = ~{\color{red} 528,5}
\item   585,9 ~ : ~ 100 ~ = ~{\color{red} 5,859}
\item   1 527 ~ : ~ 100 ~ = ~{\color{red} 15,27}
\item   4,803 ~ : ~ 10 ~ = ~{\color{red} 0,480 3}
\item   164 ~ : ~ 100 ~ = ~{\color{red} 1,64}
\item   7 156 ~ : ~ 1 000 ~ = ~{\color{red} 7,156}
\item   514,7 ~ : ~ 100 ~ = ~{\color{red} 5,147}
\item   8,741 ~ : ~ 100 ~ = ~{\color{red} 0,087 41}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~67 600
\item   0,168 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~16,8
\item   94,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~949
\item   483 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 830
\item   62,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~622
\item   3,13 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~313
\item   0,098 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~98
\item   297 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~297 000
\item   0,043 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,3
\item   42,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 220
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   489,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,893
}\item   596,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,965
}\item   787,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,872
}\item   218,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,189
}\item   8 761 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,761
}\item   106,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 10,66
}\item   9,336 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 336
}\item   40,76 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,407 6
}\item   84,63 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,846 3
}\item   37,37 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,037 37
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,463 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,024 63
\item   8,327 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,832 7
\item   8,527 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,085 27
\item   955 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,955
\item   64,64 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,064 64
\item   1 853 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 185,3
\item   489,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,489 5
\item   7,605 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,076 05
\item   5 723 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 57,23
\item   192,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,192 9
\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 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   850,63 ~kL~ = {\color{red}  85 063 000 }~cL
\item   4 886 ~kg~ = {\color{red}  488 600 }~dag
\item   219,83 ~dam~ = {\color{red}  21 983 }~dm
\item   131,4 ~dag~ = {\color{red}  1 314 }~g
\item   4 498,3 ~hg~ = {\color{red}  4 498 300 }~dg
\item   650,63 ~hL~ = {\color{red}  65 063 }~L
\item   5 350,3 ~g~ = {\color{red}  5 350 300 }~mg
\item   5 282 ~dg~ = {\color{red}  52,82 }~dag
\item   3 839,4 ~g~ = {\color{red}  38,394 }~hg
\item   6 999,3 ~cg~ = {\color{red}  6,999 3 }~dag
\end{itemize}
\end{multicols}
\end{document}
