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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 274}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{16}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{37}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,35  ~ \(\times\)  ~ 10
\item   0,062  ~ \(\times\)  ~ 1 000
\item   231  ~ \(\times\)  ~ 100
\item   0,896  ~ \(\times\)  ~ 100
\item   358  ~ \(\times\)  ~ 100
\item   4,05  ~ \(\times\)  ~ 1 000
\item   0,058  ~ \(\times\)  ~ 100
\item   0,082  ~ \(\times\)  ~ 1 000
\item   0,63  ~ \(\times\)  ~ 10
\item   0,163  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,513  ~ : ~ 100
\item   1 606  ~ : ~ 10
\item   2 103  ~ : ~ 1 000
\item   585  ~ : ~ 100
\item   70,77  ~ : ~ 1 000
\item   2 671  ~ : ~ 10
\item   354,7  ~ : ~ 100
\item   5 274  ~ : ~ 1 000
\item   1,053  ~ : ~ 100
\item   56,8  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,161  ~ \(\times\)  ~ ... ~ = ~ 161
\item   80,4  ~ \(\times\)  ~ ... ~ = ~ 80 400
\item   0,179  ~ \(\times\)  ~ ... ~ = ~ 17,9
\item   71,7  ~ \(\times\)  ~ ... ~ = ~ 7 170
\item   608  ~ \(\times\)  ~ ... ~ = ~ 60 800
\item   0,148  ~ \(\times\)  ~ ... ~ = ~ 148
\item   16,5  ~ \(\times\)  ~ ... ~ = ~ 1 650
\item   0,02  ~ \(\times\)  ~ ... ~ = ~ 2
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 52
\item   3,14  ~ \(\times\)  ~ ... ~ = ~ 31,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,58  ~ \(\times\)  ~ 0,1
\item   4 369  ~ \(\times\)  ~ 0,01
\item   488  ~ \(\times\)  ~ 0,001
\item   2,09  ~ \(\times\)  ~ 0,1
\item   4 527  ~ \(\times\)  ~ 0,1
\item   7,821  ~ \(\times\)  ~ 0,001
\item   9,88  ~ \(\times\)  ~ 0,01
\item   4,255  ~ \(\times\)  ~ 0,001
\item   514,6  ~ \(\times\)  ~ 0,1
\item   4,025  ~ \(\times\)  ~ 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   548  ~ \(\times\)  ~ ... ~ = ~  0,548
\item   41,98  ~ \(\times\)  ~ ... ~ = ~  0,041 98
\item   6,595  ~ \(\times\)  ~ ... ~ = ~  0,006 595
\item   20,31  ~ \(\times\)  ~ ... ~ = ~  2,031
\item   20,14  ~ \(\times\)  ~ ... ~ = ~  0,020 14
\item   8 614  ~ \(\times\)  ~ ... ~ = ~  86,14
\item   156,5  ~ \(\times\)  ~ ... ~ = ~  1,565
\item   95,51  ~ \(\times\)  ~ ... ~ = ~  9,551
\item   623,4  ~ \(\times\)  ~ ... ~ = ~  0,623 4
\item   4,002  ~ \(\times\)  ~ ... ~ = ~  0,400 2
\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~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~m
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   744,33 ~m~ = ...~dam
\item   2 202,5 ~km~ = ...~cm
\item   8 108,2 ~dm~ = ...~mm
\item   3 722,1 ~dam~ = ...~km
\item   611,52 ~cL~ = ...~mL
\item   3 102,9 ~kL~ = ...~cL
\item   7 754,3 ~cm~ = ...~km
\item   6 497,1 ~hL~ = ...~L
\item   6 987 ~dam~ = ...~cm
\item   917,45 ~m~ = ...~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   3 = \(\dfrac{30}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{5800}{100}\) = \(\dfrac{580}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{16}{10}\) = \(\dfrac{160}{100}\)
\item   \(\dfrac{37}{100}\) = \(\dfrac{370}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,35  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,5}
\item   0,062  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 62}
\item   231  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 23 100}
\item   0,896  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 89,6}
\item   358  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 35 800}
\item   4,05  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 050}
\item   0,058  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,8}
\item   0,082  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 82}
\item   0,63  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,3}
\item   0,163  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 16,3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,513 ~ : ~ 100 ~ = ~{\color{red} 0,045 13}
\item   1 606 ~ : ~ 10 ~ = ~{\color{red} 160,6}
\item   2 103 ~ : ~ 1 000 ~ = ~{\color{red} 2,103}
\item   585 ~ : ~ 100 ~ = ~{\color{red} 5,85}
\item   70,77 ~ : ~ 1 000 ~ = ~{\color{red} 0,070 77}
\item   2 671 ~ : ~ 10 ~ = ~{\color{red} 267,1}
\item   354,7 ~ : ~ 100 ~ = ~{\color{red} 3,547}
\item   5 274 ~ : ~ 1 000 ~ = ~{\color{red} 5,274}
\item   1,053 ~ : ~ 100 ~ = ~{\color{red} 0,010 53}
\item   56,8 ~ : ~ 10 ~ = ~{\color{red} 5,68}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,161 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~161
\item   80,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~80 400
\item   0,179 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~17,9
\item   71,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 170
\item   608 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~60 800
\item   0,148 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~148
\item   16,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 650
\item   0,02 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2
\item   0,052 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~52
\item   3,14 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~31,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,58 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,958
}\item   4 369 ~ \(\times\)  0,01 ~ = ~{\color{red} 43,69
}\item   488 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,488
}\item   2,09 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,209
}\item   4 527 ~ \(\times\)  0,1 ~ = ~{\color{red} 452,7
}\item   7,821 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 821
}\item   9,88 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,098 8
}\item   4,255 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 255
}\item   514,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 51,46
}\item   4,025 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 025
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   548 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,548
\item   41,98 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,041 98
\item   6,595 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 595
\item   20,31 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,031
\item   20,14 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,020 14
\item   8 614 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 86,14
\item   156,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,565
\item   95,51 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,551
\item   623,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,623 4
\item   4,002 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,400 2
\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~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   744,33 ~m~ = {\color{red}  74,433 }~dam
\item   2 202,5 ~km~ = {\color{red}  220 250 000 }~cm
\item   8 108,2 ~dm~ = {\color{red}  810 820 }~mm
\item   3 722,1 ~dam~ = {\color{red}  37,221 }~km
\item   611,52 ~cL~ = {\color{red}  6 115,2 }~mL
\item   3 102,9 ~kL~ = {\color{red}  310 290 000 }~cL
\item   7 754,3 ~cm~ = {\color{red}  0,077 543 }~km
\item   6 497,1 ~hL~ = {\color{red}  649 710 }~L
\item   6 987 ~dam~ = {\color{red}  6 987 000 }~cm
\item   917,45 ~m~ = {\color{red}  9,174 5 }~hm
\end{itemize}
\end{multicols}
\end{document}
