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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 388}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{97}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{21}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,2  ~ \(\times\)  ~ 10
\item   38,5  ~ \(\times\)  ~ 100
\item   214  ~ \(\times\)  ~ 10
\item   20,9  ~ \(\times\)  ~ 100
\item   5,25  ~ \(\times\)  ~ 10
\item   2,9  ~ \(\times\)  ~ 100
\item   0,786  ~ \(\times\)  ~ 10
\item   355  ~ \(\times\)  ~ 10
\item   2  ~ \(\times\)  ~ 100
\item   2,57  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,67  ~ : ~ 100
\item   8,816  ~ : ~ 1 000
\item   7 797  ~ : ~ 10
\item   92,32  ~ : ~ 10
\item   189,5  ~ : ~ 100
\item   49,37  ~ : ~ 100
\item   1,367  ~ : ~ 100
\item   66,15  ~ : ~ 100
\item   624,5  ~ : ~ 1 000
\item   6,848  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   953  ~ \(\times\)  ~ ... ~ = ~ 95 300
\item   102  ~ \(\times\)  ~ ... ~ = ~ 10 200
\item   354  ~ \(\times\)  ~ ... ~ = ~ 35 400
\item   0,045  ~ \(\times\)  ~ ... ~ = ~ 4,5
\item   0,097  ~ \(\times\)  ~ ... ~ = ~ 9,7
\item   0,828  ~ \(\times\)  ~ ... ~ = ~ 8,28
\item   0,838  ~ \(\times\)  ~ ... ~ = ~ 8,38
\item   9,48  ~ \(\times\)  ~ ... ~ = ~ 94,8
\item   22,1  ~ \(\times\)  ~ ... ~ = ~ 221
\item   30,6  ~ \(\times\)  ~ ... ~ = ~ 30 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 629  ~ \(\times\)  ~ 0,01
\item   46,78  ~ \(\times\)  ~ 0,001
\item   3 530  ~ \(\times\)  ~ 0,01
\item   56,78  ~ \(\times\)  ~ 0,01
\item   343,3  ~ \(\times\)  ~ 0,01
\item   0,114  ~ \(\times\)  ~ 0,001
\item   30,12  ~ \(\times\)  ~ 0,01
\item   80,48  ~ \(\times\)  ~ 0,01
\item   8,875  ~ \(\times\)  ~ 0,1
\item   46,91  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,43  ~ \(\times\)  ~ ... ~ = ~  2,743
\item   628,3  ~ \(\times\)  ~ ... ~ = ~  6,283
\item   3 037  ~ \(\times\)  ~ ... ~ = ~  303,7
\item   16,47  ~ \(\times\)  ~ ... ~ = ~  0,016 47
\item   9,621  ~ \(\times\)  ~ ... ~ = ~  0,009 621
\item   82,05  ~ \(\times\)  ~ ... ~ = ~  0,820 5
\item   1 010  ~ \(\times\)  ~ ... ~ = ~  101
\item   860,2  ~ \(\times\)  ~ ... ~ = ~  8,602
\item   97,14  ~ \(\times\)  ~ ... ~ = ~  9,714
\item   2 342  ~ \(\times\)  ~ ... ~ = ~  234,2
\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~ = ...~dm
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~dam
\item   1 ~dam~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 425 ~kL~ = ...~dL
\item   9 588,6 ~hm~ = ...~km
\item   3 216,1 ~mm~ = ...~m
\item   266,11 ~km~ = ...~dam
\item   491,89 ~g~ = ...~dag
\item   663,44 ~L~ = ...~daL
\item   3 388,8 ~daL~ = ...~kL
\item   6 254,7 ~kg~ = ...~g
\item   896,54 ~cm~ = ...~hm
\item   7 153,2 ~mL~ = ...~kL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{5700}{100}\) = \(\dfrac{570}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{97}{10}\) = \(\dfrac{970}{100}\)
\item   \(\dfrac{21}{100}\) = \(\dfrac{210}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 462}
\item   38,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 850}
\item   214  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 140}
\item   20,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 090}
\item   5,25  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 52,5}
\item   2,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 290}
\item   0,786  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,86}
\item   355  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 550}
\item   2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 200}
\item   2,57  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 25,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,67 ~ : ~ 100 ~ = ~{\color{red} 0,076 7}
\item   8,816 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 816}
\item   7 797 ~ : ~ 10 ~ = ~{\color{red} 779,7}
\item   92,32 ~ : ~ 10 ~ = ~{\color{red} 9,232}
\item   189,5 ~ : ~ 100 ~ = ~{\color{red} 1,895}
\item   49,37 ~ : ~ 100 ~ = ~{\color{red} 0,493 7}
\item   1,367 ~ : ~ 100 ~ = ~{\color{red} 0,013 67}
\item   66,15 ~ : ~ 100 ~ = ~{\color{red} 0,661 5}
\item   624,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,624 5}
\item   6,848 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 848}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   953 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~95 300
\item   102 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~10 200
\item   354 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~35 400
\item   0,045 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,5
\item   0,097 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,7
\item   0,828 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,28
\item   0,838 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,38
\item   9,48 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~94,8
\item   22,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~221
\item   30,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 629 ~ \(\times\)  0,01 ~ = ~{\color{red} 86,29
}\item   46,78 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,046 78
}\item   3 530 ~ \(\times\)  0,01 ~ = ~{\color{red} 35,3
}\item   56,78 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,567 8
}\item   343,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,433
}\item   0,114 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 114
}\item   30,12 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,301 2
}\item   80,48 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,804 8
}\item   8,875 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,887 5
}\item   46,91 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,469 1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,43 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,743
\item   628,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,283
\item   3 037 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 303,7
\item   16,47 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,016 47
\item   9,621 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 621
\item   82,05 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,820 5
\item   1 010 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 101
\item   860,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,602
\item   97,14 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,714
\item   2 342 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 234,2
\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~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 425 ~kL~ = {\color{red}  64 250 000 }~dL
\item   9 588,6 ~hm~ = {\color{red}  958,86 }~km
\item   3 216,1 ~mm~ = {\color{red}  3,216 1 }~m
\item   266,11 ~km~ = {\color{red}  26 611 }~dam
\item   491,89 ~g~ = {\color{red}  49,189 }~dag
\item   663,44 ~L~ = {\color{red}  66,344 }~daL
\item   3 388,8 ~daL~ = {\color{red}  33,888 }~kL
\item   6 254,7 ~kg~ = {\color{red}  6 254 700 }~g
\item   896,54 ~cm~ = {\color{red}  0,089 654 }~hm
\item   7 153,2 ~mL~ = {\color{red}  0,007 153 2 }~kL
\end{itemize}
\end{multicols}
\end{document}
