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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 333}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{62}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   0,03  ~ \(\times\)  ~ 1 000
\item   0,358  ~ \(\times\)  ~ 100
\item   2,61  ~ \(\times\)  ~ 1 000
\item   82,3  ~ \(\times\)  ~ 100
\item   1,03  ~ \(\times\)  ~ 10
\item   8,57  ~ \(\times\)  ~ 100
\item   0,809  ~ \(\times\)  ~ 1 000
\item   9,32  ~ \(\times\)  ~ 1 000
\item   47,6  ~ \(\times\)  ~ 100
\item   5,55  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   486,2  ~ : ~ 100
\item   1 260  ~ : ~ 10
\item   444  ~ : ~ 100
\item   2,242  ~ : ~ 10
\item   5 676  ~ : ~ 10
\item   4,066  ~ : ~ 100
\item   78,42  ~ : ~ 100
\item   1,204  ~ : ~ 100
\item   97,16  ~ : ~ 10
\item   2 762  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,1  ~ \(\times\)  ~ ... ~ = ~ 84 100
\item   3,82  ~ \(\times\)  ~ ... ~ = ~ 3 820
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 0,51
\item   172  ~ \(\times\)  ~ ... ~ = ~ 172 000
\item   0,027  ~ \(\times\)  ~ ... ~ = ~ 0,27
\item   405  ~ \(\times\)  ~ ... ~ = ~ 405 000
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 42
\item   0,314  ~ \(\times\)  ~ ... ~ = ~ 31,4
\item   25,9  ~ \(\times\)  ~ ... ~ = ~ 259
\item   85,5  ~ \(\times\)  ~ ... ~ = ~ 85 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,305  ~ \(\times\)  ~ 0,01
\item   4,73  ~ \(\times\)  ~ 0,01
\item   240,3  ~ \(\times\)  ~ 0,01
\item   1 589  ~ \(\times\)  ~ 0,01
\item   30,64  ~ \(\times\)  ~ 0,1
\item   25,46  ~ \(\times\)  ~ 0,001
\item   6,05  ~ \(\times\)  ~ 0,001
\item   7,609  ~ \(\times\)  ~ 0,1
\item   282,3  ~ \(\times\)  ~ 0,01
\item   6,183  ~ \(\times\)  ~ 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   5 393  ~ \(\times\)  ~ ... ~ = ~  539,3
\item   8,1  ~ \(\times\)  ~ ... ~ = ~  0,81
\item   639,6  ~ \(\times\)  ~ ... ~ = ~  6,396
\item   257  ~ \(\times\)  ~ ... ~ = ~  2,57
\item   572,6  ~ \(\times\)  ~ ... ~ = ~  0,572 6
\item   7,124  ~ \(\times\)  ~ ... ~ = ~  0,007 124
\item   80,81  ~ \(\times\)  ~ ... ~ = ~  0,080 81
\item   756,5  ~ \(\times\)  ~ ... ~ = ~  75,65
\item   20,63  ~ \(\times\)  ~ ... ~ = ~  0,206 3
\item   314,3  ~ \(\times\)  ~ ... ~ = ~  0,314 3
\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~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 099,9 ~dL~ = ...~kL
\item   773,73 ~dL~ = ...~cL
\item   6 143 ~hm~ = ...~cm
\item   4 928 ~mg~ = ...~dg
\item   6 138,7 ~dag~ = ...~dg
\item   4 246 ~hg~ = ...~cg
\item   327,73 ~hm~ = ...~m
\item   9 878,7 ~km~ = ...~dam
\item   5 881,2 ~cm~ = ...~m
\item   9 469,2 ~kL~ = ...~cL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{560}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{62}{10}\) = \(\dfrac{620}{100}\)
\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   0,03  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 30}
\item   0,358  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 35,8}
\item   2,61  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 610}
\item   82,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 230}
\item   1,03  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 10,3}
\item   8,57  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 857}
\item   0,809  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 809}
\item   9,32  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 320}
\item   47,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 760}
\item   5,55  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 55,5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   486,2 ~ : ~ 100 ~ = ~{\color{red} 4,862}
\item   1 260 ~ : ~ 10 ~ = ~{\color{red} 126}
\item   444 ~ : ~ 100 ~ = ~{\color{red} 4,44}
\item   2,242 ~ : ~ 10 ~ = ~{\color{red} 0,224 2}
\item   5 676 ~ : ~ 10 ~ = ~{\color{red} 567,6}
\item   4,066 ~ : ~ 100 ~ = ~{\color{red} 0,040 66}
\item   78,42 ~ : ~ 100 ~ = ~{\color{red} 0,784 2}
\item   1,204 ~ : ~ 100 ~ = ~{\color{red} 0,012 04}
\item   97,16 ~ : ~ 10 ~ = ~{\color{red} 9,716}
\item   2 762 ~ : ~ 10 ~ = ~{\color{red} 276,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   84,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~84 100
\item   3,82 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 820
\item   0,051 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,51
\item   172 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~172 000
\item   0,027 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,27
\item   405 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~405 000
\item   0,042 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42
\item   0,314 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~31,4
\item   25,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~259
\item   85,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~85 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,305 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,093 05
}\item   4,73 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,047 3
}\item   240,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,403
}\item   1 589 ~ \(\times\)  0,01 ~ = ~{\color{red} 15,89
}\item   30,64 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,064
}\item   25,46 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,025 46
}\item   6,05 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 05
}\item   7,609 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,760 9
}\item   282,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,823
}\item   6,183 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 183
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 393 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 539,3
\item   8,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,81
\item   639,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,396
\item   257 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,57
\item   572,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,572 6
\item   7,124 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 124
\item   80,81 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,080 81
\item   756,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 75,65
\item   20,63 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,206 3
\item   314,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,314 3
\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~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 099,9 ~dL~ = {\color{red}  0,809 99 }~kL
\item   773,73 ~dL~ = {\color{red}  7 737,3 }~cL
\item   6 143 ~hm~ = {\color{red}  61 430 000 }~cm
\item   4 928 ~mg~ = {\color{red}  49,28 }~dg
\item   6 138,7 ~dag~ = {\color{red}  613 870 }~dg
\item   4 246 ~hg~ = {\color{red}  42 460 000 }~cg
\item   327,73 ~hm~ = {\color{red}  32 773 }~m
\item   9 878,7 ~km~ = {\color{red}  987 870 }~dam
\item   5 881,2 ~cm~ = {\color{red}  58,812 }~m
\item   9 469,2 ~kL~ = {\color{red}  946 920 000 }~cL
\end{itemize}
\end{multicols}
\end{document}
