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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 325}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,83  ~ \(\times\)  ~ 10
\item   25,1  ~ \(\times\)  ~ 1 000
\item   0,091  ~ \(\times\)  ~ 10
\item   0,07  ~ \(\times\)  ~ 10
\item   889  ~ \(\times\)  ~ 10
\item   0,015  ~ \(\times\)  ~ 1 000
\item   0,208  ~ \(\times\)  ~ 100
\item   213  ~ \(\times\)  ~ 10
\item   0,678  ~ \(\times\)  ~ 10
\item   5,76  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,48  ~ : ~ 1 000
\item   7 973  ~ : ~ 10
\item   612,1  ~ : ~ 10
\item   63,7  ~ : ~ 100
\item   5,237  ~ : ~ 100
\item   39,98  ~ : ~ 100
\item   52,86  ~ : ~ 1 000
\item   7 555  ~ : ~ 100
\item   61,62  ~ : ~ 10
\item   401  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,2  ~ \(\times\)  ~ ... ~ = ~ 49 200
\item   0,085  ~ \(\times\)  ~ ... ~ = ~ 8,5
\item   0,443  ~ \(\times\)  ~ ... ~ = ~ 4,43
\item   0,42  ~ \(\times\)  ~ ... ~ = ~ 420
\item   2,45  ~ \(\times\)  ~ ... ~ = ~ 24,5
\item   79  ~ \(\times\)  ~ ... ~ = ~ 790
\item   22  ~ \(\times\)  ~ ... ~ = ~ 22 000
\item   984  ~ \(\times\)  ~ ... ~ = ~ 9 840
\item   0,025  ~ \(\times\)  ~ ... ~ = ~ 2,5
\item   8,65  ~ \(\times\)  ~ ... ~ = ~ 865
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   301,7  ~ \(\times\)  ~ 0,1
\item   94,66  ~ \(\times\)  ~ 0,01
\item   38,3  ~ \(\times\)  ~ 0,001
\item   1 872  ~ \(\times\)  ~ 0,001
\item   79,3  ~ \(\times\)  ~ 0,001
\item   83  ~ \(\times\)  ~ 0,01
\item   631,6  ~ \(\times\)  ~ 0,01
\item   855  ~ \(\times\)  ~ 0,001
\item   607,4  ~ \(\times\)  ~ 0,001
\item   291,5  ~ \(\times\)  ~ 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   2 181  ~ \(\times\)  ~ ... ~ = ~  2,181
\item   9 113  ~ \(\times\)  ~ ... ~ = ~  9,113
\item   9 850  ~ \(\times\)  ~ ... ~ = ~  9,85
\item   425,8  ~ \(\times\)  ~ ... ~ = ~  0,425 8
\item   90,32  ~ \(\times\)  ~ ... ~ = ~  0,903 2
\item   888  ~ \(\times\)  ~ ... ~ = ~  88,8
\item   3,442  ~ \(\times\)  ~ ... ~ = ~  0,344 2
\item   0,901  ~ \(\times\)  ~ ... ~ = ~  0,009 01
\item   1 889  ~ \(\times\)  ~ ... ~ = ~  18,89
\item   7,914  ~ \(\times\)  ~ ... ~ = ~  0,791 4
\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~ = ...~dam
\item   1 ~dm~ = ...~m
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 536,6 ~mg~ = ...~g
\item   216,62 ~m~ = ...~dm
\item   420,62 ~hL~ = ...~kL
\item   6 349,5 ~g~ = ...~dag
\item   445,13 ~cL~ = ...~L
\item   5 986,1 ~dag~ = ...~hg
\item   751,89 ~mL~ = ...~L
\item   4 636,3 ~daL~ = ...~L
\item   3 016,2 ~L~ = ...~kL
\item   1 442,1 ~dm~ = ...~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   9 = \(\dfrac{90}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{8300}{100}\) = \(\dfrac{830}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{950}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{200}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,83  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 18,3}
\item   25,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 25 100}
\item   0,091  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,91}
\item   0,07  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,7}
\item   889  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 890}
\item   0,015  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 15}
\item   0,208  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 20,8}
\item   213  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 130}
\item   0,678  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,78}
\item   5,76  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 57,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,48 ~ : ~ 1 000 ~ = ~{\color{red} 0,063 48}
\item   7 973 ~ : ~ 10 ~ = ~{\color{red} 797,3}
\item   612,1 ~ : ~ 10 ~ = ~{\color{red} 61,21}
\item   63,7 ~ : ~ 100 ~ = ~{\color{red} 0,637}
\item   5,237 ~ : ~ 100 ~ = ~{\color{red} 0,052 37}
\item   39,98 ~ : ~ 100 ~ = ~{\color{red} 0,399 8}
\item   52,86 ~ : ~ 1 000 ~ = ~{\color{red} 0,052 86}
\item   7 555 ~ : ~ 100 ~ = ~{\color{red} 75,55}
\item   61,62 ~ : ~ 10 ~ = ~{\color{red} 6,162}
\item   401 ~ : ~ 100 ~ = ~{\color{red} 4,01}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49 200
\item   0,085 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,5
\item   0,443 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,43
\item   0,42 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~420
\item   2,45 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~24,5
\item   79 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~790
\item   22 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~22 000
\item   984 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 840
\item   0,025 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,5
\item   8,65 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~865
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   301,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 30,17
}\item   94,66 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,946 6
}\item   38,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,038 3
}\item   1 872 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,872
}\item   79,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,079 3
}\item   83 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,83
}\item   631,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,316
}\item   855 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,855
}\item   607,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,607 4
}\item   291,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 29,15
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 181 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,181
\item   9 113 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,113
\item   9 850 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,85
\item   425,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,425 8
\item   90,32 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,903 2
\item   888 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 88,8
\item   3,442 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,344 2
\item   0,901 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,009 01
\item   1 889 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 18,89
\item   7,914 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,791 4
\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 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 536,6 ~mg~ = {\color{red}  1,536 6 }~g
\item   216,62 ~m~ = {\color{red}  2 166,2 }~dm
\item   420,62 ~hL~ = {\color{red}  42,062 }~kL
\item   6 349,5 ~g~ = {\color{red}  634,95 }~dag
\item   445,13 ~cL~ = {\color{red}  4,451 3 }~L
\item   5 986,1 ~dag~ = {\color{red}  598,61 }~hg
\item   751,89 ~mL~ = {\color{red}  0,751 89 }~L
\item   4 636,3 ~daL~ = {\color{red}  46 363 }~L
\item   3 016,2 ~L~ = {\color{red}  3,016 2 }~kL
\item   1 442,1 ~dm~ = {\color{red}  14 421 }~cm
\end{itemize}
\end{multicols}
\end{document}
