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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 230}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{95}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   454  ~ \(\times\)  ~ 100
\item   0,656  ~ \(\times\)  ~ 100
\item   0,065  ~ \(\times\)  ~ 100
\item   633  ~ \(\times\)  ~ 100
\item   71,1  ~ \(\times\)  ~ 10
\item   3,3  ~ \(\times\)  ~ 10
\item   0,139  ~ \(\times\)  ~ 1 000
\item   0,041  ~ \(\times\)  ~ 100
\item   3,02  ~ \(\times\)  ~ 10
\item   27  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   80,85  ~ : ~ 10
\item   4,17  ~ : ~ 100
\item   2,041  ~ : ~ 100
\item   73,06  ~ : ~ 10
\item   44,22  ~ : ~ 1 000
\item   616,2  ~ : ~ 100
\item   3 406  ~ : ~ 10
\item   873,3  ~ : ~ 1 000
\item   8 904  ~ : ~ 10
\item   179,8  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   515  ~ \(\times\)  ~ ... ~ = ~ 5 150
\item   0,041  ~ \(\times\)  ~ ... ~ = ~ 41
\item   575  ~ \(\times\)  ~ ... ~ = ~ 57 500
\item   5,58  ~ \(\times\)  ~ ... ~ = ~ 5 580
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 0,3
\item   8,45  ~ \(\times\)  ~ ... ~ = ~ 8 450
\item   6,32  ~ \(\times\)  ~ ... ~ = ~ 6 320
\item   0,093  ~ \(\times\)  ~ ... ~ = ~ 9,3
\item   9,8  ~ \(\times\)  ~ ... ~ = ~ 98
\item   0,506  ~ \(\times\)  ~ ... ~ = ~ 50,6
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   440,7  ~ \(\times\)  ~ 0,001
\item   212,2  ~ \(\times\)  ~ 0,1
\item   7 638  ~ \(\times\)  ~ 0,1
\item   3 565  ~ \(\times\)  ~ 0,1
\item   66,96  ~ \(\times\)  ~ 0,1
\item   4 946  ~ \(\times\)  ~ 0,01
\item   41,39  ~ \(\times\)  ~ 0,001
\item   8,071  ~ \(\times\)  ~ 0,1
\item   3,526  ~ \(\times\)  ~ 0,01
\item   1,86  ~ \(\times\)  ~ 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   8 132  ~ \(\times\)  ~ ... ~ = ~  8,132
\item   1,787  ~ \(\times\)  ~ ... ~ = ~  0,001 787
\item   2,066  ~ \(\times\)  ~ ... ~ = ~  0,206 6
\item   738,5  ~ \(\times\)  ~ ... ~ = ~  7,385
\item   289,3  ~ \(\times\)  ~ ... ~ = ~  28,93
\item   89,7  ~ \(\times\)  ~ ... ~ = ~  8,97
\item   799  ~ \(\times\)  ~ ... ~ = ~  0,799
\item   2 547  ~ \(\times\)  ~ ... ~ = ~  2,547
\item   1,605  ~ \(\times\)  ~ ... ~ = ~  0,160 5
\item   2,016  ~ \(\times\)  ~ ... ~ = ~  0,020 16
\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 ~m~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   359,28 ~daL~ = ...~cL
\item   734,91 ~L~ = ...~dL
\item   522,96 ~cg~ = ...~dag
\item   680,88 ~daL~ = ...~L
\item   6 803,2 ~kg~ = ...~mg
\item   3 905,2 ~kg~ = ...~cg
\item   285,46 ~kL~ = ...~dL
\item   909,25 ~hm~ = ...~mm
\item   4 566,3 ~km~ = ...~m
\item   5 690,7 ~dam~ = ...~cm
\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   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{970}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{130}{100}\)
\item   \(\dfrac{95}{100}\) = \(\dfrac{950}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   454  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 45 400}
\item   0,656  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 65,6}
\item   0,065  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,5}
\item   633  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 63 300}
\item   71,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 711}
\item   3,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 33}
\item   0,139  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 139}
\item   0,041  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,1}
\item   3,02  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 30,2}
\item   27  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 700}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   80,85 ~ : ~ 10 ~ = ~{\color{red} 8,085}
\item   4,17 ~ : ~ 100 ~ = ~{\color{red} 0,041 7}
\item   2,041 ~ : ~ 100 ~ = ~{\color{red} 0,020 41}
\item   73,06 ~ : ~ 10 ~ = ~{\color{red} 7,306}
\item   44,22 ~ : ~ 1 000 ~ = ~{\color{red} 0,044 22}
\item   616,2 ~ : ~ 100 ~ = ~{\color{red} 6,162}
\item   3 406 ~ : ~ 10 ~ = ~{\color{red} 340,6}
\item   873,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,873 3}
\item   8 904 ~ : ~ 10 ~ = ~{\color{red} 890,4}
\item   179,8 ~ : ~ 100 ~ = ~{\color{red} 1,798}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   515 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 150
\item   0,041 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~41
\item   575 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~57 500
\item   5,58 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 580
\item   0,03 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,3
\item   8,45 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 450
\item   6,32 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 320
\item   0,093 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,3
\item   9,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~98
\item   0,506 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~50,6
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   440,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,440 7
}\item   212,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 21,22
}\item   7 638 ~ \(\times\)  0,1 ~ = ~{\color{red} 763,8
}\item   3 565 ~ \(\times\)  0,1 ~ = ~{\color{red} 356,5
}\item   66,96 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,696
}\item   4 946 ~ \(\times\)  0,01 ~ = ~{\color{red} 49,46
}\item   41,39 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,041 39
}\item   8,071 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,807 1
}\item   3,526 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,035 26
}\item   1,86 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,186
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 132 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,132
\item   1,787 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 787
\item   2,066 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,206 6
\item   738,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,385
\item   289,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 28,93
\item   89,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,97
\item   799 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,799
\item   2 547 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,547
\item   1,605 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,160 5
\item   2,016 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,020 16
\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 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   359,28 ~daL~ = {\color{red}  359 280 }~cL
\item   734,91 ~L~ = {\color{red}  7 349,1 }~dL
\item   522,96 ~cg~ = {\color{red}  0,522 96 }~dag
\item   680,88 ~daL~ = {\color{red}  6 808,8 }~L
\item   6 803,2 ~kg~ = {\color{red}  6 803 200 000 }~mg
\item   3 905,2 ~kg~ = {\color{red}  390 520 000 }~cg
\item   285,46 ~kL~ = {\color{red}  2 854 600 }~dL
\item   909,25 ~hm~ = {\color{red}  90 925 000 }~mm
\item   4 566,3 ~km~ = {\color{red}  4 566 300 }~m
\item   5 690,7 ~dam~ = {\color{red}  5 690 700 }~cm
\end{itemize}
\end{multicols}
\end{document}
