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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 323}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{17}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{80}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,69  ~ \(\times\)  ~ 100
\item   0,338  ~ \(\times\)  ~ 100
\item   37  ~ \(\times\)  ~ 100
\item   0,42  ~ \(\times\)  ~ 1 000
\item   7,62  ~ \(\times\)  ~ 10
\item   0,535  ~ \(\times\)  ~ 100
\item   12,5  ~ \(\times\)  ~ 100
\item   31  ~ \(\times\)  ~ 10
\item   0,059  ~ \(\times\)  ~ 100
\item   0,62  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 551  ~ : ~ 100
\item   1,501  ~ : ~ 100
\item   3,192  ~ : ~ 1 000
\item   59,82  ~ : ~ 10
\item   3,364  ~ : ~ 1 000
\item   802,6  ~ : ~ 100
\item   36,51  ~ : ~ 10
\item   66,3  ~ : ~ 10
\item   266  ~ : ~ 1 000
\item   44,31  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,034  ~ \(\times\)  ~ ... ~ = ~ 0,34
\item   0,576  ~ \(\times\)  ~ ... ~ = ~ 576
\item   5,05  ~ \(\times\)  ~ ... ~ = ~ 505
\item   143  ~ \(\times\)  ~ ... ~ = ~ 14 300
\item   0,095  ~ \(\times\)  ~ ... ~ = ~ 0,95
\item   19,1  ~ \(\times\)  ~ ... ~ = ~ 19 100
\item   0,83  ~ \(\times\)  ~ ... ~ = ~ 83
\item   6,94  ~ \(\times\)  ~ ... ~ = ~ 6 940
\item   0,694  ~ \(\times\)  ~ ... ~ = ~ 6,94
\item   0,252  ~ \(\times\)  ~ ... ~ = ~ 252
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,62  ~ \(\times\)  ~ 0,001
\item   0,876  ~ \(\times\)  ~ 0,1
\item   0,156  ~ \(\times\)  ~ 0,01
\item   2,376  ~ \(\times\)  ~ 0,1
\item   7 148  ~ \(\times\)  ~ 0,1
\item   60,17  ~ \(\times\)  ~ 0,1
\item   406  ~ \(\times\)  ~ 0,01
\item   25,58  ~ \(\times\)  ~ 0,1
\item   478  ~ \(\times\)  ~ 0,001
\item   297,3  ~ \(\times\)  ~ 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   49,2  ~ \(\times\)  ~ ... ~ = ~  0,049 2
\item   159,1  ~ \(\times\)  ~ ... ~ = ~  0,159 1
\item   429  ~ \(\times\)  ~ ... ~ = ~  0,429
\item   238,5  ~ \(\times\)  ~ ... ~ = ~  23,85
\item   7,67  ~ \(\times\)  ~ ... ~ = ~  0,007 67
\item   2 497  ~ \(\times\)  ~ ... ~ = ~  249,7
\item   27,73  ~ \(\times\)  ~ ... ~ = ~  0,027 73
\item   96,63  ~ \(\times\)  ~ ... ~ = ~  9,663
\item   169,7  ~ \(\times\)  ~ ... ~ = ~  16,97
\item   299,6  ~ \(\times\)  ~ ... ~ = ~  29,96
\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 ~dm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 667,2 ~m~ = ...~cm
\item   4 674,3 ~dam~ = ...~cm
\item   314,98 ~cm~ = ...~dam
\item   6 668 ~daL~ = ...~dL
\item   9 806,7 ~cg~ = ...~hg
\item   3 946,2 ~kg~ = ...~g
\item   546,1 ~dL~ = ...~mL
\item   6 977,5 ~dam~ = ...~m
\item   165,53 ~cL~ = ...~kL
\item   7 378 ~kL~ = ...~mL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{9000}{100}\) = \(\dfrac{900}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{17}{10}\) = \(\dfrac{170}{100}\)
\item   \(\dfrac{80}{100}\) = \(\dfrac{800}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,69  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 69}
\item   0,338  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 33,8}
\item   37  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 700}
\item   0,42  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 420}
\item   7,62  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 76,2}
\item   0,535  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 53,5}
\item   12,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 250}
\item   31  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 310}
\item   0,059  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,9}
\item   0,62  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 551 ~ : ~ 100 ~ = ~{\color{red} 25,51}
\item   1,501 ~ : ~ 100 ~ = ~{\color{red} 0,015 01}
\item   3,192 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 192}
\item   59,82 ~ : ~ 10 ~ = ~{\color{red} 5,982}
\item   3,364 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 364}
\item   802,6 ~ : ~ 100 ~ = ~{\color{red} 8,026}
\item   36,51 ~ : ~ 10 ~ = ~{\color{red} 3,651}
\item   66,3 ~ : ~ 10 ~ = ~{\color{red} 6,63}
\item   266 ~ : ~ 1 000 ~ = ~{\color{red} 0,266}
\item   44,31 ~ : ~ 10 ~ = ~{\color{red} 4,431}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,034 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,34
\item   0,576 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~576
\item   5,05 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~505
\item   143 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~14 300
\item   0,095 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,95
\item   19,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~19 100
\item   0,83 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~83
\item   6,94 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 940
\item   0,694 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,94
\item   0,252 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~252
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   48,62 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,048 62
}\item   0,876 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,087 6
}\item   0,156 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,001 56
}\item   2,376 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,237 6
}\item   7 148 ~ \(\times\)  0,1 ~ = ~{\color{red} 714,8
}\item   60,17 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,017
}\item   406 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,06
}\item   25,58 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,558
}\item   478 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,478
}\item   297,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,973
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,049 2
\item   159,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,159 1
\item   429 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,429
\item   238,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 23,85
\item   7,67 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 67
\item   2 497 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 249,7
\item   27,73 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,027 73
\item   96,63 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,663
\item   169,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 16,97
\item   299,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 29,96
\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 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 667,2 ~m~ = {\color{red}  866 720 }~cm
\item   4 674,3 ~dam~ = {\color{red}  4 674 300 }~cm
\item   314,98 ~cm~ = {\color{red}  0,314 98 }~dam
\item   6 668 ~daL~ = {\color{red}  666 800 }~dL
\item   9 806,7 ~cg~ = {\color{red}  0,980 67 }~hg
\item   3 946,2 ~kg~ = {\color{red}  3 946 200 }~g
\item   546,1 ~dL~ = {\color{red}  54 610 }~mL
\item   6 977,5 ~dam~ = {\color{red}  69 775 }~m
\item   165,53 ~cL~ = {\color{red}  0,001 655 3 }~kL
\item   7 378 ~kL~ = {\color{red}  7 378 000 000 }~mL
\end{itemize}
\end{multicols}
\end{document}
