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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 265}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{77}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{51}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,9  ~ \(\times\)  ~ 10
\item   29,6  ~ \(\times\)  ~ 1 000
\item   0,54  ~ \(\times\)  ~ 10
\item   0,426  ~ \(\times\)  ~ 10
\item   0,233  ~ \(\times\)  ~ 1 000
\item   6,43  ~ \(\times\)  ~ 10
\item   0,063  ~ \(\times\)  ~ 1 000
\item   21,8  ~ \(\times\)  ~ 10
\item   0,043  ~ \(\times\)  ~ 1 000
\item   0,027  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13,19  ~ : ~ 10
\item   4,109  ~ : ~ 10
\item   2,008  ~ : ~ 100
\item   629,8  ~ : ~ 10
\item   3 750  ~ : ~ 100
\item   7,938  ~ : ~ 100
\item   2 085  ~ : ~ 10
\item   3,807  ~ : ~ 1 000
\item   8,284  ~ : ~ 1 000
\item   8 292  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,36  ~ \(\times\)  ~ ... ~ = ~ 9 360
\item   0,648  ~ \(\times\)  ~ ... ~ = ~ 6,48
\item   0,176  ~ \(\times\)  ~ ... ~ = ~ 1,76
\item   8,23  ~ \(\times\)  ~ ... ~ = ~ 82,3
\item   404  ~ \(\times\)  ~ ... ~ = ~ 404 000
\item   598  ~ \(\times\)  ~ ... ~ = ~ 5 980
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 0,3
\item   0,082  ~ \(\times\)  ~ ... ~ = ~ 8,2
\item   19  ~ \(\times\)  ~ ... ~ = ~ 190
\item   4,7  ~ \(\times\)  ~ ... ~ = ~ 4 700
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   259,3  ~ \(\times\)  ~ 0,01
\item   474,6  ~ \(\times\)  ~ 0,01
\item   390,4  ~ \(\times\)  ~ 0,1
\item   1 789  ~ \(\times\)  ~ 0,1
\item   3,574  ~ \(\times\)  ~ 0,01
\item   2 864  ~ \(\times\)  ~ 0,1
\item   201,8  ~ \(\times\)  ~ 0,01
\item   393,6  ~ \(\times\)  ~ 0,001
\item   7,883  ~ \(\times\)  ~ 0,01
\item   19,16  ~ \(\times\)  ~ 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   265,7  ~ \(\times\)  ~ ... ~ = ~  0,265 7
\item   4,974  ~ \(\times\)  ~ ... ~ = ~  0,004 974
\item   5,694  ~ \(\times\)  ~ ... ~ = ~  0,569 4
\item   3,318  ~ \(\times\)  ~ ... ~ = ~  0,331 8
\item   96,87  ~ \(\times\)  ~ ... ~ = ~  0,096 87
\item   32,44  ~ \(\times\)  ~ ... ~ = ~  0,324 4
\item   6 589  ~ \(\times\)  ~ ... ~ = ~  65,89
\item   7,87  ~ \(\times\)  ~ ... ~ = ~  0,007 87
\item   60,52  ~ \(\times\)  ~ ... ~ = ~  0,605 2
\item   2 708  ~ \(\times\)  ~ ... ~ = ~  2,708
\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 ~cm~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~cm
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   578,59 ~hg~ = ...~dag
\item   394,24 ~dm~ = ...~mm
\item   656,38 ~dg~ = ...~hg
\item   695,62 ~mm~ = ...~hm
\item   7 485,8 ~kL~ = ...~mL
\item   687,45 ~mg~ = ...~g
\item   485,69 ~cg~ = ...~dg
\item   1 565,6 ~km~ = ...~dm
\item   7 817,5 ~mL~ = ...~cL
\item   8 165,3 ~km~ = ...~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   7 = \(\dfrac{70}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{5100}{100}\) = \(\dfrac{510}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{77}{10}\) = \(\dfrac{770}{100}\)
\item   \(\dfrac{51}{100}\) = \(\dfrac{510}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 219}
\item   29,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 29 600}
\item   0,54  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,4}
\item   0,426  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,26}
\item   0,233  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 233}
\item   6,43  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 64,3}
\item   0,063  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 63}
\item   21,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 218}
\item   0,043  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 43}
\item   0,027  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 27}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13,19 ~ : ~ 10 ~ = ~{\color{red} 1,319}
\item   4,109 ~ : ~ 10 ~ = ~{\color{red} 0,410 9}
\item   2,008 ~ : ~ 100 ~ = ~{\color{red} 0,020 08}
\item   629,8 ~ : ~ 10 ~ = ~{\color{red} 62,98}
\item   3 750 ~ : ~ 100 ~ = ~{\color{red} 37,5}
\item   7,938 ~ : ~ 100 ~ = ~{\color{red} 0,079 38}
\item   2 085 ~ : ~ 10 ~ = ~{\color{red} 208,5}
\item   3,807 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 807}
\item   8,284 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 284}
\item   8 292 ~ : ~ 10 ~ = ~{\color{red} 829,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,36 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 360
\item   0,648 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,48
\item   0,176 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,76
\item   8,23 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~82,3
\item   404 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~404 000
\item   598 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 980
\item   0,03 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,3
\item   0,082 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,2
\item   19 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~190
\item   4,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 700
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   259,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,593
}\item   474,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,746
}\item   390,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 39,04
}\item   1 789 ~ \(\times\)  0,1 ~ = ~{\color{red} 178,9
}\item   3,574 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,035 74
}\item   2 864 ~ \(\times\)  0,1 ~ = ~{\color{red} 286,4
}\item   201,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,018
}\item   393,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,393 6
}\item   7,883 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,078 83
}\item   19,16 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,191 6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   265,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,265 7
\item   4,974 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 974
\item   5,694 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,569 4
\item   3,318 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,331 8
\item   96,87 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,096 87
\item   32,44 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,324 4
\item   6 589 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 65,89
\item   7,87 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 87
\item   60,52 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,605 2
\item   2 708 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,708
\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 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   578,59 ~hg~ = {\color{red}  5 785,9 }~dag
\item   394,24 ~dm~ = {\color{red}  39 424 }~mm
\item   656,38 ~dg~ = {\color{red}  0,656 38 }~hg
\item   695,62 ~mm~ = {\color{red}  0,006 956 2 }~hm
\item   7 485,8 ~kL~ = {\color{red}  7 485 800 000 }~mL
\item   687,45 ~mg~ = {\color{red}  0,687 45 }~g
\item   485,69 ~cg~ = {\color{red}  48,569 }~dg
\item   1 565,6 ~km~ = {\color{red}  15 656 000 }~dm
\item   7 817,5 ~mL~ = {\color{red}  781,75 }~cL
\item   8 165,3 ~km~ = {\color{red}  816 530 000 }~cm
\end{itemize}
\end{multicols}
\end{document}
