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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 16}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{64}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{40}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   466  ~ \(\times\)  ~ 100
\item   8,83  ~ \(\times\)  ~ 10
\item   65,9  ~ \(\times\)  ~ 10
\item   3,12  ~ \(\times\)  ~ 100
\item   69,1  ~ \(\times\)  ~ 1 000
\item   6,25  ~ \(\times\)  ~ 10
\item   81,7  ~ \(\times\)  ~ 1 000
\item   268  ~ \(\times\)  ~ 10
\item   0,084  ~ \(\times\)  ~ 1 000
\item   655  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   75,85  ~ : ~ 10
\item   51,76  ~ : ~ 100
\item   6 986  ~ : ~ 100
\item   8,199  ~ : ~ 1 000
\item   29,23  ~ : ~ 1 000
\item   8,22  ~ : ~ 10
\item   2,02  ~ : ~ 10
\item   812,7  ~ : ~ 100
\item   50,85  ~ : ~ 100
\item   7 532  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,725  ~ \(\times\)  ~ ... ~ = ~ 725
\item   879  ~ \(\times\)  ~ ... ~ = ~ 87 900
\item   0,871  ~ \(\times\)  ~ ... ~ = ~ 8,71
\item   0,949  ~ \(\times\)  ~ ... ~ = ~ 949
\item   823  ~ \(\times\)  ~ ... ~ = ~ 82 300
\item   0,086  ~ \(\times\)  ~ ... ~ = ~ 0,86
\item   520  ~ \(\times\)  ~ ... ~ = ~ 5 200
\item   73,3  ~ \(\times\)  ~ ... ~ = ~ 7 330
\item   9,27  ~ \(\times\)  ~ ... ~ = ~ 92,7
\item   561  ~ \(\times\)  ~ ... ~ = ~ 561 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   66,54  ~ \(\times\)  ~ 0,01
\item   8 475  ~ \(\times\)  ~ 0,1
\item   5 343  ~ \(\times\)  ~ 0,001
\item   1 626  ~ \(\times\)  ~ 0,1
\item   0,25  ~ \(\times\)  ~ 0,001
\item   864  ~ \(\times\)  ~ 0,001
\item   0,891  ~ \(\times\)  ~ 0,1
\item   428,6  ~ \(\times\)  ~ 0,1
\item   9 638  ~ \(\times\)  ~ 0,1
\item   870,9  ~ \(\times\)  ~ 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   180,5  ~ \(\times\)  ~ ... ~ = ~  1,805
\item   6,463  ~ \(\times\)  ~ ... ~ = ~  0,646 3
\item   6,736  ~ \(\times\)  ~ ... ~ = ~  0,006 736
\item   7,742  ~ \(\times\)  ~ ... ~ = ~  0,077 42
\item   740  ~ \(\times\)  ~ ... ~ = ~  74
\item   3,348  ~ \(\times\)  ~ ... ~ = ~  0,003 348
\item   4,284  ~ \(\times\)  ~ ... ~ = ~  0,428 4
\item   3 638  ~ \(\times\)  ~ ... ~ = ~  36,38
\item   18,74  ~ \(\times\)  ~ ... ~ = ~  1,874
\item   7,568  ~ \(\times\)  ~ ... ~ = ~  0,756 8
\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 ~hm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 825,2 ~cL~ = ...~mL
\item   9 675,9 ~dg~ = ...~dag
\item   5 689,8 ~g~ = ...~dg
\item   187,28 ~kg~ = ...~cg
\item   1 454,1 ~dam~ = ...~dm
\item   1 405,5 ~dg~ = ...~kg
\item   8 164,3 ~dL~ = ...~hL
\item   9 092,8 ~daL~ = ...~hL
\item   5 270,6 ~mm~ = ...~dm
\item   6 173,5 ~dag~ = ...~cg
\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   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{720}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{64}{10}\) = \(\dfrac{640}{100}\)
\item   \(\dfrac{40}{100}\) = \(\dfrac{400}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   466  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 46 600}
\item   8,83  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 88,3}
\item   65,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 659}
\item   3,12  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 312}
\item   69,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 69 100}
\item   6,25  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 62,5}
\item   81,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 81 700}
\item   268  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 680}
\item   0,084  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 84}
\item   655  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 65 500}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   75,85 ~ : ~ 10 ~ = ~{\color{red} 7,585}
\item   51,76 ~ : ~ 100 ~ = ~{\color{red} 0,517 6}
\item   6 986 ~ : ~ 100 ~ = ~{\color{red} 69,86}
\item   8,199 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 199}
\item   29,23 ~ : ~ 1 000 ~ = ~{\color{red} 0,029 23}
\item   8,22 ~ : ~ 10 ~ = ~{\color{red} 0,822}
\item   2,02 ~ : ~ 10 ~ = ~{\color{red} 0,202}
\item   812,7 ~ : ~ 100 ~ = ~{\color{red} 8,127}
\item   50,85 ~ : ~ 100 ~ = ~{\color{red} 0,508 5}
\item   7 532 ~ : ~ 10 ~ = ~{\color{red} 753,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,725 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~725
\item   879 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~87 900
\item   0,871 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,71
\item   0,949 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~949
\item   823 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~82 300
\item   0,086 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,86
\item   520 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 200
\item   73,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 330
\item   9,27 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~92,7
\item   561 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~561 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   66,54 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,665 4
}\item   8 475 ~ \(\times\)  0,1 ~ = ~{\color{red} 847,5
}\item   5 343 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,343
}\item   1 626 ~ \(\times\)  0,1 ~ = ~{\color{red} 162,6
}\item   0,25 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 25
}\item   864 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,864
}\item   0,891 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,089 1
}\item   428,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 42,86
}\item   9 638 ~ \(\times\)  0,1 ~ = ~{\color{red} 963,8
}\item   870,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 87,09
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   180,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,805
\item   6,463 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,646 3
\item   6,736 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 736
\item   7,742 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,077 42
\item   740 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 74
\item   3,348 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 348
\item   4,284 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,428 4
\item   3 638 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 36,38
\item   18,74 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,874
\item   7,568 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,756 8
\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 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 825,2 ~cL~ = {\color{red}  28 252 }~mL
\item   9 675,9 ~dg~ = {\color{red}  96,759 }~dag
\item   5 689,8 ~g~ = {\color{red}  56 898 }~dg
\item   187,28 ~kg~ = {\color{red}  18 728 000 }~cg
\item   1 454,1 ~dam~ = {\color{red}  145 410 }~dm
\item   1 405,5 ~dg~ = {\color{red}  0,140 55 }~kg
\item   8 164,3 ~dL~ = {\color{red}  8,164 3 }~hL
\item   9 092,8 ~daL~ = {\color{red}  909,28 }~hL
\item   5 270,6 ~mm~ = {\color{red}  52,706 }~dm
\item   6 173,5 ~dag~ = {\color{red}  6 173 500 }~cg
\end{itemize}
\end{multicols}
\end{document}
