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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 64}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{79}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{98}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,6  ~ \(\times\)  ~ 100
\item   73  ~ \(\times\)  ~ 1 000
\item   84,8  ~ \(\times\)  ~ 10
\item   0,891  ~ \(\times\)  ~ 100
\item   212  ~ \(\times\)  ~ 10
\item   421  ~ \(\times\)  ~ 10
\item   187  ~ \(\times\)  ~ 1 000
\item   0,006  ~ \(\times\)  ~ 100
\item   0,023  ~ \(\times\)  ~ 10
\item   99  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   660,5  ~ : ~ 100
\item   2,35  ~ : ~ 100
\item   84,43  ~ : ~ 1 000
\item   6,068  ~ : ~ 1 000
\item   3 033  ~ : ~ 10
\item   3,888  ~ : ~ 10
\item   359,8  ~ : ~ 10
\item   470  ~ : ~ 1 000
\item   4 120  ~ : ~ 1 000
\item   5 066  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   31,4  ~ \(\times\)  ~ ... ~ = ~ 31 400
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 90
\item   25,1  ~ \(\times\)  ~ ... ~ = ~ 251
\item   6,4  ~ \(\times\)  ~ ... ~ = ~ 640
\item   0,952  ~ \(\times\)  ~ ... ~ = ~ 95,2
\item   7,34  ~ \(\times\)  ~ ... ~ = ~ 73,4
\item   28,9  ~ \(\times\)  ~ ... ~ = ~ 289
\item   314  ~ \(\times\)  ~ ... ~ = ~ 3 140
\item   63  ~ \(\times\)  ~ ... ~ = ~ 630
\item   0,095  ~ \(\times\)  ~ ... ~ = ~ 0,95
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,73  ~ \(\times\)  ~ 0,001
\item   4,211  ~ \(\times\)  ~ 0,01
\item   0,827  ~ \(\times\)  ~ 0,01
\item   8 539  ~ \(\times\)  ~ 0,1
\item   88,72  ~ \(\times\)  ~ 0,001
\item   2 434  ~ \(\times\)  ~ 0,001
\item   54,77  ~ \(\times\)  ~ 0,001
\item   837,4  ~ \(\times\)  ~ 0,01
\item   64,41  ~ \(\times\)  ~ 0,1
\item   5,433  ~ \(\times\)  ~ 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   2,51  ~ \(\times\)  ~ ... ~ = ~  0,002 51
\item   2,912  ~ \(\times\)  ~ ... ~ = ~  0,291 2
\item   877,1  ~ \(\times\)  ~ ... ~ = ~  8,771
\item   4,67  ~ \(\times\)  ~ ... ~ = ~  0,467
\item   52,9  ~ \(\times\)  ~ ... ~ = ~  0,529
\item   0,516  ~ \(\times\)  ~ ... ~ = ~  0,005 16
\item   1 814  ~ \(\times\)  ~ ... ~ = ~  18,14
\item   6,003  ~ \(\times\)  ~ ... ~ = ~  0,600 3
\item   849  ~ \(\times\)  ~ ... ~ = ~  84,9
\item   8 305  ~ \(\times\)  ~ ... ~ = ~  83,05
\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~ = ...~cm
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   200,56 ~mL~ = ...~dL
\item   433,26 ~cg~ = ...~g
\item   184,93 ~cm~ = ...~m
\item   759,86 ~mg~ = ...~dg
\item   1 520,5 ~m~ = ...~dam
\item   570,89 ~dag~ = ...~dg
\item   3 793 ~kg~ = ...~dg
\item   439,25 ~dag~ = ...~cg
\item   542,04 ~cL~ = ...~kL
\item   321,59 ~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   8 = \(\dfrac{80}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{9100}{100}\) = \(\dfrac{910}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{79}{10}\) = \(\dfrac{790}{100}\)
\item   \(\dfrac{98}{100}\) = \(\dfrac{980}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 260}
\item   73  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 73 000}
\item   84,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 848}
\item   0,891  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 89,1}
\item   212  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 120}
\item   421  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 210}
\item   187  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 187 000}
\item   0,006  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,6}
\item   0,023  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,23}
\item   99  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 900}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   660,5 ~ : ~ 100 ~ = ~{\color{red} 6,605}
\item   2,35 ~ : ~ 100 ~ = ~{\color{red} 0,023 5}
\item   84,43 ~ : ~ 1 000 ~ = ~{\color{red} 0,084 43}
\item   6,068 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 068}
\item   3 033 ~ : ~ 10 ~ = ~{\color{red} 303,3}
\item   3,888 ~ : ~ 10 ~ = ~{\color{red} 0,388 8}
\item   359,8 ~ : ~ 10 ~ = ~{\color{red} 35,98}
\item   470 ~ : ~ 1 000 ~ = ~{\color{red} 0,47}
\item   4 120 ~ : ~ 1 000 ~ = ~{\color{red} 4,12}
\item   5 066 ~ : ~ 10 ~ = ~{\color{red} 506,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   31,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~31 400
\item   0,09 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~90
\item   25,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~251
\item   6,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~640
\item   0,952 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~95,2
\item   7,34 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~73,4
\item   28,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~289
\item   314 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 140
\item   63 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~630
\item   0,095 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,95
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,73 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,028 73
}\item   4,211 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,042 11
}\item   0,827 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,008 27
}\item   8 539 ~ \(\times\)  0,1 ~ = ~{\color{red} 853,9
}\item   88,72 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,088 72
}\item   2 434 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,434
}\item   54,77 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,054 77
}\item   837,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,374
}\item   64,41 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,441
}\item   5,433 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,543 3
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,51 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 51
\item   2,912 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,291 2
\item   877,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,771
\item   4,67 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,467
\item   52,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,529
\item   0,516 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,005 16
\item   1 814 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 18,14
\item   6,003 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,600 3
\item   849 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 84,9
\item   8 305 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 83,05
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   200,56 ~mL~ = {\color{red}  2,005 6 }~dL
\item   433,26 ~cg~ = {\color{red}  4,332 6 }~g
\item   184,93 ~cm~ = {\color{red}  1,849 3 }~m
\item   759,86 ~mg~ = {\color{red}  7,598 6 }~dg
\item   1 520,5 ~m~ = {\color{red}  152,05 }~dam
\item   570,89 ~dag~ = {\color{red}  57 089 }~dg
\item   3 793 ~kg~ = {\color{red}  37 930 000 }~dg
\item   439,25 ~dag~ = {\color{red}  439 250 }~cg
\item   542,04 ~cL~ = {\color{red}  0,005 420 4 }~kL
\item   321,59 ~daL~ = {\color{red}  3 215 900 }~mL
\end{itemize}
\end{multicols}
\end{document}
