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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 252}

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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{35}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{54}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,295  ~ \(\times\)  ~ 100
\item   278  ~ \(\times\)  ~ 1 000
\item   0,012  ~ \(\times\)  ~ 100
\item   0,674  ~ \(\times\)  ~ 1 000
\item   821  ~ \(\times\)  ~ 1 000
\item   297  ~ \(\times\)  ~ 100
\item   2,55  ~ \(\times\)  ~ 1 000
\item   0,065  ~ \(\times\)  ~ 10
\item   1,4  ~ \(\times\)  ~ 1 000
\item   5,27  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   841,2  ~ : ~ 1 000
\item   5 126  ~ : ~ 10
\item   719,6  ~ : ~ 10
\item   102,9  ~ : ~ 1 000
\item   4,5  ~ : ~ 100
\item   427,8  ~ : ~ 1 000
\item   895,3  ~ : ~ 10
\item   891,4  ~ : ~ 10
\item   2,303  ~ : ~ 100
\item   31,13  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   50,2  ~ \(\times\)  ~ ... ~ = ~ 502
\item   0,013  ~ \(\times\)  ~ ... ~ = ~ 1,3
\item   9,5  ~ \(\times\)  ~ ... ~ = ~ 95
\item   0,706  ~ \(\times\)  ~ ... ~ = ~ 706
\item   0,89  ~ \(\times\)  ~ ... ~ = ~ 8,9
\item   0,14  ~ \(\times\)  ~ ... ~ = ~ 140
\item   43,3  ~ \(\times\)  ~ ... ~ = ~ 4 330
\item   6,3  ~ \(\times\)  ~ ... ~ = ~ 630
\item   98,3  ~ \(\times\)  ~ ... ~ = ~ 9 830
\item   323  ~ \(\times\)  ~ ... ~ = ~ 32 300
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,94  ~ \(\times\)  ~ 0,01
\item   92,23  ~ \(\times\)  ~ 0,1
\item   2 421  ~ \(\times\)  ~ 0,001
\item   0,82  ~ \(\times\)  ~ 0,01
\item   601,7  ~ \(\times\)  ~ 0,001
\item   2,728  ~ \(\times\)  ~ 0,1
\item   830,8  ~ \(\times\)  ~ 0,001
\item   691  ~ \(\times\)  ~ 0,001
\item   5 489  ~ \(\times\)  ~ 0,1
\item   269,9  ~ \(\times\)  ~ 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   4 440  ~ \(\times\)  ~ ... ~ = ~  444
\item   1 195  ~ \(\times\)  ~ ... ~ = ~  119,5
\item   222,2  ~ \(\times\)  ~ ... ~ = ~  2,222
\item   9 392  ~ \(\times\)  ~ ... ~ = ~  9,392
\item   5 125  ~ \(\times\)  ~ ... ~ = ~  512,5
\item   7,279  ~ \(\times\)  ~ ... ~ = ~  0,007 279
\item   2,398  ~ \(\times\)  ~ ... ~ = ~  0,002 398
\item   672,1  ~ \(\times\)  ~ ... ~ = ~  6,721
\item   5 879  ~ \(\times\)  ~ ... ~ = ~  5,879
\item   3,559  ~ \(\times\)  ~ ... ~ = ~  0,003 559
\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~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 459,1 ~hg~ = ...~dag
\item   656,11 ~hm~ = ...~m
\item   790,67 ~kg~ = ...~cg
\item   150,28 ~cL~ = ...~mL
\item   2 444,2 ~hL~ = ...~cL
\item   5 132 ~m~ = ...~cm
\item   6 865,1 ~mL~ = ...~daL
\item   327,77 ~cg~ = ...~kg
\item   805,52 ~dam~ = ...~km
\item   8 978,4 ~dag~ = ...~dg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{800}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{35}{10}\) = \(\dfrac{350}{100}\)
\item   \(\dfrac{54}{100}\) = \(\dfrac{540}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,295  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29,5}
\item   278  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 278 000}
\item   0,012  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,2}
\item   0,674  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 674}
\item   821  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 821 000}
\item   297  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29 700}
\item   2,55  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 550}
\item   0,065  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,65}
\item   1,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 400}
\item   5,27  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 52,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   841,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,841 2}
\item   5 126 ~ : ~ 10 ~ = ~{\color{red} 512,6}
\item   719,6 ~ : ~ 10 ~ = ~{\color{red} 71,96}
\item   102,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,102 9}
\item   4,5 ~ : ~ 100 ~ = ~{\color{red} 0,045}
\item   427,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,427 8}
\item   895,3 ~ : ~ 10 ~ = ~{\color{red} 89,53}
\item   891,4 ~ : ~ 10 ~ = ~{\color{red} 89,14}
\item   2,303 ~ : ~ 100 ~ = ~{\color{red} 0,023 03}
\item   31,13 ~ : ~ 10 ~ = ~{\color{red} 3,113}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   50,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~502
\item   0,013 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,3
\item   9,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~95
\item   0,706 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~706
\item   0,89 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,9
\item   0,14 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~140
\item   43,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 330
\item   6,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~630
\item   98,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 830
\item   323 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~32 300
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,94 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,489 4
}\item   92,23 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,223
}\item   2 421 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,421
}\item   0,82 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,008 2
}\item   601,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,601 7
}\item   2,728 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,272 8
}\item   830,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,830 8
}\item   691 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,691
}\item   5 489 ~ \(\times\)  0,1 ~ = ~{\color{red} 548,9
}\item   269,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,699
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 440 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 444
\item   1 195 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 119,5
\item   222,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,222
\item   9 392 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,392
\item   5 125 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 512,5
\item   7,279 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 279
\item   2,398 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 398
\item   672,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,721
\item   5 879 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,879
\item   3,559 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 559
\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~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 459,1 ~hg~ = {\color{red}  74 591 }~dag
\item   656,11 ~hm~ = {\color{red}  65 611 }~m
\item   790,67 ~kg~ = {\color{red}  79 067 000 }~cg
\item   150,28 ~cL~ = {\color{red}  1 502,8 }~mL
\item   2 444,2 ~hL~ = {\color{red}  24 442 000 }~cL
\item   5 132 ~m~ = {\color{red}  513 200 }~cm
\item   6 865,1 ~mL~ = {\color{red}  0,686 51 }~daL
\item   327,77 ~cg~ = {\color{red}  0,003 277 7 }~kg
\item   805,52 ~dam~ = {\color{red}  8,055 2 }~km
\item   8 978,4 ~dag~ = {\color{red}  897 840 }~dg
\end{itemize}
\end{multicols}
\end{document}
