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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 371}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{41}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   826  ~ \(\times\)  ~ 10
\item   0,064  ~ \(\times\)  ~ 10
\item   0,078  ~ \(\times\)  ~ 1 000
\item   0,921  ~ \(\times\)  ~ 1 000
\item   15  ~ \(\times\)  ~ 10
\item   73,6  ~ \(\times\)  ~ 100
\item   839  ~ \(\times\)  ~ 1 000
\item   52,8  ~ \(\times\)  ~ 10
\item   868  ~ \(\times\)  ~ 1 000
\item   96,7  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,27  ~ : ~ 10
\item   23,34  ~ : ~ 100
\item   3,564  ~ : ~ 10
\item   47,81  ~ : ~ 1 000
\item   5 361  ~ : ~ 10
\item   856,3  ~ : ~ 100
\item   75,44  ~ : ~ 10
\item   388,1  ~ : ~ 10
\item   1 254  ~ : ~ 10
\item   8 115  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   608  ~ \(\times\)  ~ ... ~ = ~ 6 080
\item   0,86  ~ \(\times\)  ~ ... ~ = ~ 8,6
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 42
\item   497  ~ \(\times\)  ~ ... ~ = ~ 4 970
\item   29,9  ~ \(\times\)  ~ ... ~ = ~ 29 900
\item   0,013  ~ \(\times\)  ~ ... ~ = ~ 1,3
\item   0,806  ~ \(\times\)  ~ ... ~ = ~ 80,6
\item   1,33  ~ \(\times\)  ~ ... ~ = ~ 133
\item   265  ~ \(\times\)  ~ ... ~ = ~ 26 500
\item   116  ~ \(\times\)  ~ ... ~ = ~ 116 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   89,27  ~ \(\times\)  ~ 0,1
\item   91,02  ~ \(\times\)  ~ 0,1
\item   25,39  ~ \(\times\)  ~ 0,1
\item   1 760  ~ \(\times\)  ~ 0,1
\item   816,7  ~ \(\times\)  ~ 0,01
\item   42,4  ~ \(\times\)  ~ 0,001
\item   3,479  ~ \(\times\)  ~ 0,01
\item   219  ~ \(\times\)  ~ 0,01
\item   5 943  ~ \(\times\)  ~ 0,1
\item   0,918  ~ \(\times\)  ~ 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   7,444  ~ \(\times\)  ~ ... ~ = ~  0,007 444
\item   368,5  ~ \(\times\)  ~ ... ~ = ~  3,685
\item   0,252  ~ \(\times\)  ~ ... ~ = ~  0,025 2
\item   9,432  ~ \(\times\)  ~ ... ~ = ~  0,009 432
\item   0,106  ~ \(\times\)  ~ ... ~ = ~  0,000 106
\item   510,1  ~ \(\times\)  ~ ... ~ = ~  5,101
\item   337,1  ~ \(\times\)  ~ ... ~ = ~  0,337 1
\item   79,65  ~ \(\times\)  ~ ... ~ = ~  0,079 65
\item   549,5  ~ \(\times\)  ~ ... ~ = ~  54,95
\item   85,5  ~ \(\times\)  ~ ... ~ = ~  0,085 5
\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 ~dam~ = ...~cm
\item   1 ~dm~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   691,69 ~kL~ = ...~hL
\item   3 725,4 ~cL~ = ...~L
\item   4 070,7 ~mm~ = ...~m
\item   6 102,8 ~dL~ = ...~daL
\item   6 450,7 ~hm~ = ...~km
\item   1 301,7 ~dm~ = ...~mm
\item   6 602,8 ~dam~ = ...~dm
\item   633,1 ~cg~ = ...~hg
\item   412,5 ~dag~ = ...~g
\item   599,71 ~kg~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 = \(\dfrac{50}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{630}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{41}{10}\) = \(\dfrac{410}{100}\)
\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   826  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 260}
\item   0,064  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,64}
\item   0,078  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 78}
\item   0,921  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 921}
\item   15  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 150}
\item   73,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 360}
\item   839  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 839 000}
\item   52,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 528}
\item   868  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 868 000}
\item   96,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 96 700}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,27 ~ : ~ 10 ~ = ~{\color{red} 7,327}
\item   23,34 ~ : ~ 100 ~ = ~{\color{red} 0,233 4}
\item   3,564 ~ : ~ 10 ~ = ~{\color{red} 0,356 4}
\item   47,81 ~ : ~ 1 000 ~ = ~{\color{red} 0,047 81}
\item   5 361 ~ : ~ 10 ~ = ~{\color{red} 536,1}
\item   856,3 ~ : ~ 100 ~ = ~{\color{red} 8,563}
\item   75,44 ~ : ~ 10 ~ = ~{\color{red} 7,544}
\item   388,1 ~ : ~ 10 ~ = ~{\color{red} 38,81}
\item   1 254 ~ : ~ 10 ~ = ~{\color{red} 125,4}
\item   8 115 ~ : ~ 100 ~ = ~{\color{red} 81,15}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   608 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 080
\item   0,86 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,6
\item   0,042 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42
\item   497 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 970
\item   29,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~29 900
\item   0,013 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,3
\item   0,806 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~80,6
\item   1,33 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~133
\item   265 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~26 500
\item   116 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~116 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   89,27 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,927
}\item   91,02 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,102
}\item   25,39 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,539
}\item   1 760 ~ \(\times\)  0,1 ~ = ~{\color{red} 176
}\item   816,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,167
}\item   42,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,042 4
}\item   3,479 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,034 79
}\item   219 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,19
}\item   5 943 ~ \(\times\)  0,1 ~ = ~{\color{red} 594,3
}\item   0,918 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,009 18
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,444 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 444
\item   368,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,685
\item   0,252 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,025 2
\item   9,432 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 432
\item   0,106 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 106
\item   510,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,101
\item   337,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,337 1
\item   79,65 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,079 65
\item   549,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 54,95
\item   85,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,085 5
\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 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   691,69 ~kL~ = {\color{red}  6 916,9 }~hL
\item   3 725,4 ~cL~ = {\color{red}  37,254 }~L
\item   4 070,7 ~mm~ = {\color{red}  4,070 7 }~m
\item   6 102,8 ~dL~ = {\color{red}  61,028 }~daL
\item   6 450,7 ~hm~ = {\color{red}  645,07 }~km
\item   1 301,7 ~dm~ = {\color{red}  130 170 }~mm
\item   6 602,8 ~dam~ = {\color{red}  660 280 }~dm
\item   633,1 ~cg~ = {\color{red}  0,063 31 }~hg
\item   412,5 ~dag~ = {\color{red}  4 125 }~g
\item   599,71 ~kg~ = {\color{red}  59 971 000 }~cg
\end{itemize}
\end{multicols}
\end{document}
