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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 243}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{83}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   32,2  ~ \(\times\)  ~ 100
\item   134  ~ \(\times\)  ~ 10
\item   3,84  ~ \(\times\)  ~ 1 000
\item   70,1  ~ \(\times\)  ~ 100
\item   0,074  ~ \(\times\)  ~ 1 000
\item   44  ~ \(\times\)  ~ 1 000
\item   1,72  ~ \(\times\)  ~ 1 000
\item   928  ~ \(\times\)  ~ 10
\item   86,8  ~ \(\times\)  ~ 1 000
\item   910  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 630  ~ : ~ 1 000
\item   3,365  ~ : ~ 10
\item   259,6  ~ : ~ 1 000
\item   1 668  ~ : ~ 10
\item   98,22  ~ : ~ 1 000
\item   7,011  ~ : ~ 100
\item   90,01  ~ : ~ 10
\item   457,6  ~ : ~ 10
\item   4 756  ~ : ~ 1 000
\item   3,88  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   53  ~ \(\times\)  ~ ... ~ = ~ 53 000
\item   0,8  ~ \(\times\)  ~ ... ~ = ~ 80
\item   0,712  ~ \(\times\)  ~ ... ~ = ~ 71,2
\item   2,85  ~ \(\times\)  ~ ... ~ = ~ 285
\item   3,66  ~ \(\times\)  ~ ... ~ = ~ 366
\item   4,62  ~ \(\times\)  ~ ... ~ = ~ 46,2
\item   35  ~ \(\times\)  ~ ... ~ = ~ 3 500
\item   7,28  ~ \(\times\)  ~ ... ~ = ~ 7 280
\item   49,3  ~ \(\times\)  ~ ... ~ = ~ 4 930
\item   11,9  ~ \(\times\)  ~ ... ~ = ~ 1 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   658  ~ \(\times\)  ~ 0,001
\item   167,1  ~ \(\times\)  ~ 0,001
\item   5,439  ~ \(\times\)  ~ 0,01
\item   1 402  ~ \(\times\)  ~ 0,01
\item   609  ~ \(\times\)  ~ 0,01
\item   8 369  ~ \(\times\)  ~ 0,01
\item   6,743  ~ \(\times\)  ~ 0,01
\item   4,625  ~ \(\times\)  ~ 0,1
\item   1 060  ~ \(\times\)  ~ 0,01
\item   5,571  ~ \(\times\)  ~ 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   76,1  ~ \(\times\)  ~ ... ~ = ~  7,61
\item   9 054  ~ \(\times\)  ~ ... ~ = ~  9,054
\item   61,17  ~ \(\times\)  ~ ... ~ = ~  0,061 17
\item   369,4  ~ \(\times\)  ~ ... ~ = ~  3,694
\item   78,93  ~ \(\times\)  ~ ... ~ = ~  0,078 93
\item   4,31  ~ \(\times\)  ~ ... ~ = ~  0,004 31
\item   2,12  ~ \(\times\)  ~ ... ~ = ~  0,002 12
\item   39,25  ~ \(\times\)  ~ ... ~ = ~  0,039 25
\item   6 210  ~ \(\times\)  ~ ... ~ = ~  6,21
\item   43,41  ~ \(\times\)  ~ ... ~ = ~  0,434 1
\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 ~hm~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~hm~ = ...~dm
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 277,5 ~dL~ = ...~hL
\item   7 452,1 ~cg~ = ...~hg
\item   4 217,8 ~dg~ = ...~mg
\item   653,92 ~cL~ = ...~dL
\item   5 702,9 ~dm~ = ...~km
\item   1 962,5 ~dag~ = ...~dg
\item   901,07 ~cm~ = ...~hm
\item   9 387,5 ~dm~ = ...~dam
\item   694,22 ~kL~ = ...~dL
\item   838,52 ~daL~ = ...~kL
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{6500}{100}\) = \(\dfrac{650}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{680}{100}\)
\item   \(\dfrac{83}{100}\) = \(\dfrac{830}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   32,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 220}
\item   134  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 340}
\item   3,84  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 840}
\item   70,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 010}
\item   0,074  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 74}
\item   44  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 44 000}
\item   1,72  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 720}
\item   928  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 280}
\item   86,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 86 800}
\item   910  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 91 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 630 ~ : ~ 1 000 ~ = ~{\color{red} 2,63}
\item   3,365 ~ : ~ 10 ~ = ~{\color{red} 0,336 5}
\item   259,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,259 6}
\item   1 668 ~ : ~ 10 ~ = ~{\color{red} 166,8}
\item   98,22 ~ : ~ 1 000 ~ = ~{\color{red} 0,098 22}
\item   7,011 ~ : ~ 100 ~ = ~{\color{red} 0,070 11}
\item   90,01 ~ : ~ 10 ~ = ~{\color{red} 9,001}
\item   457,6 ~ : ~ 10 ~ = ~{\color{red} 45,76}
\item   4 756 ~ : ~ 1 000 ~ = ~{\color{red} 4,756}
\item   3,88 ~ : ~ 10 ~ = ~{\color{red} 0,388}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   53 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~53 000
\item   0,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~80
\item   0,712 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~71,2
\item   2,85 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~285
\item   3,66 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~366
\item   4,62 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~46,2
\item   35 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 500
\item   7,28 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 280
\item   49,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 930
\item   11,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   658 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,658
}\item   167,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,167 1
}\item   5,439 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,054 39
}\item   1 402 ~ \(\times\)  0,01 ~ = ~{\color{red} 14,02
}\item   609 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,09
}\item   8 369 ~ \(\times\)  0,01 ~ = ~{\color{red} 83,69
}\item   6,743 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,067 43
}\item   4,625 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,462 5
}\item   1 060 ~ \(\times\)  0,01 ~ = ~{\color{red} 10,6
}\item   5,571 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 571
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,61
\item   9 054 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,054
\item   61,17 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,061 17
\item   369,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,694
\item   78,93 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,078 93
\item   4,31 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 31
\item   2,12 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 12
\item   39,25 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,039 25
\item   6 210 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,21
\item   43,41 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,434 1
\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 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 277,5 ~dL~ = {\color{red}  1,277 5 }~hL
\item   7 452,1 ~cg~ = {\color{red}  0,745 21 }~hg
\item   4 217,8 ~dg~ = {\color{red}  421 780 }~mg
\item   653,92 ~cL~ = {\color{red}  65,392 }~dL
\item   5 702,9 ~dm~ = {\color{red}  0,570 29 }~km
\item   1 962,5 ~dag~ = {\color{red}  196 250 }~dg
\item   901,07 ~cm~ = {\color{red}  0,090 107 }~hm
\item   9 387,5 ~dm~ = {\color{red}  93,875 }~dam
\item   694,22 ~kL~ = {\color{red}  6 942 200 }~dL
\item   838,52 ~daL~ = {\color{red}  8,385 2 }~kL
\end{itemize}
\end{multicols}
\end{document}
