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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 266}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{81}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{59}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,044  ~ \(\times\)  ~ 10
\item   970  ~ \(\times\)  ~ 10
\item   0,016  ~ \(\times\)  ~ 10
\item   0,09  ~ \(\times\)  ~ 100
\item   21,2  ~ \(\times\)  ~ 10
\item   959  ~ \(\times\)  ~ 1 000
\item   27,6  ~ \(\times\)  ~ 100
\item   0,618  ~ \(\times\)  ~ 10
\item   0,071  ~ \(\times\)  ~ 100
\item   0,317  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,912  ~ : ~ 10
\item   0,755  ~ : ~ 100
\item   2,324  ~ : ~ 1 000
\item   64,4  ~ : ~ 100
\item   40,12  ~ : ~ 1 000
\item   7,43  ~ : ~ 10
\item   2,98  ~ : ~ 1 000
\item   1 609  ~ : ~ 100
\item   3,988  ~ : ~ 10
\item   13,82  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   533  ~ \(\times\)  ~ ... ~ = ~ 53 300
\item   0,025  ~ \(\times\)  ~ ... ~ = ~ 0,25
\item   97,7  ~ \(\times\)  ~ ... ~ = ~ 977
\item   812  ~ \(\times\)  ~ ... ~ = ~ 81 200
\item   0,656  ~ \(\times\)  ~ ... ~ = ~ 656
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 51
\item   58,7  ~ \(\times\)  ~ ... ~ = ~ 5 870
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 30
\item   0,891  ~ \(\times\)  ~ ... ~ = ~ 8,91
\item   9,19  ~ \(\times\)  ~ ... ~ = ~ 91,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   159,4  ~ \(\times\)  ~ 0,1
\item   16,4  ~ \(\times\)  ~ 0,001
\item   448,3  ~ \(\times\)  ~ 0,001
\item   2,351  ~ \(\times\)  ~ 0,001
\item   7 340  ~ \(\times\)  ~ 0,01
\item   44,3  ~ \(\times\)  ~ 0,1
\item   6 665  ~ \(\times\)  ~ 0,01
\item   296  ~ \(\times\)  ~ 0,01
\item   72,04  ~ \(\times\)  ~ 0,01
\item   81,21  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 848  ~ \(\times\)  ~ ... ~ = ~  68,48
\item   836,7  ~ \(\times\)  ~ ... ~ = ~  8,367
\item   9 146  ~ \(\times\)  ~ ... ~ = ~  914,6
\item   5 024  ~ \(\times\)  ~ ... ~ = ~  50,24
\item   6,319  ~ \(\times\)  ~ ... ~ = ~  0,063 19
\item   37,97  ~ \(\times\)  ~ ... ~ = ~  0,379 7
\item   9 293  ~ \(\times\)  ~ ... ~ = ~  9,293
\item   82,3  ~ \(\times\)  ~ ... ~ = ~  8,23
\item   511,5  ~ \(\times\)  ~ ... ~ = ~  5,115
\item   6,746  ~ \(\times\)  ~ ... ~ = ~  0,674 6
\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 ~dam~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 481 ~daL~ = ...~kL
\item   606,52 ~cm~ = ...~hm
\item   439 ~L~ = ...~mL
\item   148,03 ~mg~ = ...~dag
\item   3 416,2 ~hL~ = ...~daL
\item   764,98 ~kg~ = ...~g
\item   781,73 ~mg~ = ...~kg
\item   8 880,9 ~mL~ = ...~daL
\item   489,92 ~cm~ = ...~dam
\item   9 805,8 ~dL~ = ...~L
\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   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{6800}{100}\) = \(\dfrac{680}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{81}{10}\) = \(\dfrac{810}{100}\)
\item   \(\dfrac{59}{100}\) = \(\dfrac{590}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,044  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,44}
\item   970  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 700}
\item   0,016  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,16}
\item   0,09  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9}
\item   21,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 212}
\item   959  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 959 000}
\item   27,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 760}
\item   0,618  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,18}
\item   0,071  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,1}
\item   0,317  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 317}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,912 ~ : ~ 10 ~ = ~{\color{red} 0,891 2}
\item   0,755 ~ : ~ 100 ~ = ~{\color{red} 0,007 55}
\item   2,324 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 324}
\item   64,4 ~ : ~ 100 ~ = ~{\color{red} 0,644}
\item   40,12 ~ : ~ 1 000 ~ = ~{\color{red} 0,040 12}
\item   7,43 ~ : ~ 10 ~ = ~{\color{red} 0,743}
\item   2,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 98}
\item   1 609 ~ : ~ 100 ~ = ~{\color{red} 16,09}
\item   3,988 ~ : ~ 10 ~ = ~{\color{red} 0,398 8}
\item   13,82 ~ : ~ 10 ~ = ~{\color{red} 1,382}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   533 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~53 300
\item   0,025 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,25
\item   97,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~977
\item   812 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~81 200
\item   0,656 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~656
\item   0,051 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~51
\item   58,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 870
\item   0,03 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30
\item   0,891 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,91
\item   9,19 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~91,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   159,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 15,94
}\item   16,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,016 4
}\item   448,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,448 3
}\item   2,351 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 351
}\item   7 340 ~ \(\times\)  0,01 ~ = ~{\color{red} 73,4
}\item   44,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,43
}\item   6 665 ~ \(\times\)  0,01 ~ = ~{\color{red} 66,65
}\item   296 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,96
}\item   72,04 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,720 4
}\item   81,21 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,081 21
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 848 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 68,48
\item   836,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,367
\item   9 146 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 914,6
\item   5 024 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 50,24
\item   6,319 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,063 19
\item   37,97 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,379 7
\item   9 293 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,293
\item   82,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,23
\item   511,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,115
\item   6,746 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,674 6
\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 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 481 ~daL~ = {\color{red}  34,81 }~kL
\item   606,52 ~cm~ = {\color{red}  0,060 652 }~hm
\item   439 ~L~ = {\color{red}  439 000 }~mL
\item   148,03 ~mg~ = {\color{red}  0,014 803 }~dag
\item   3 416,2 ~hL~ = {\color{red}  34 162 }~daL
\item   764,98 ~kg~ = {\color{red}  764 980 }~g
\item   781,73 ~mg~ = {\color{red}  0,000 781 73 }~kg
\item   8 880,9 ~mL~ = {\color{red}  0,888 09 }~daL
\item   489,92 ~cm~ = {\color{red}  0,489 92 }~dam
\item   9 805,8 ~dL~ = {\color{red}  980,58 }~L
\end{itemize}
\end{multicols}
\end{document}
