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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 217}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{42}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,8  ~ \(\times\)  ~ 100
\item   7,75  ~ \(\times\)  ~ 1 000
\item   0,796  ~ \(\times\)  ~ 1 000
\item   0,061  ~ \(\times\)  ~ 10
\item   104  ~ \(\times\)  ~ 100
\item   911  ~ \(\times\)  ~ 10
\item   5,82  ~ \(\times\)  ~ 10
\item   8,16  ~ \(\times\)  ~ 100
\item   0,305  ~ \(\times\)  ~ 10
\item   0,371  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   651,6  ~ : ~ 1 000
\item   48,62  ~ : ~ 100
\item   9 542  ~ : ~ 1 000
\item   6 811  ~ : ~ 100
\item   806  ~ : ~ 1 000
\item   6,22  ~ : ~ 100
\item   78,91  ~ : ~ 100
\item   63,43  ~ : ~ 10
\item   32,33  ~ : ~ 1 000
\item   525,9  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,265  ~ \(\times\)  ~ ... ~ = ~ 26,5
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 0,51
\item   0,784  ~ \(\times\)  ~ ... ~ = ~ 7,84
\item   0,377  ~ \(\times\)  ~ ... ~ = ~ 3,77
\item   15,7  ~ \(\times\)  ~ ... ~ = ~ 157
\item   8,57  ~ \(\times\)  ~ ... ~ = ~ 8 570
\item   0,168  ~ \(\times\)  ~ ... ~ = ~ 1,68
\item   589  ~ \(\times\)  ~ ... ~ = ~ 589 000
\item   45,3  ~ \(\times\)  ~ ... ~ = ~ 45 300
\item   0,925  ~ \(\times\)  ~ ... ~ = ~ 925
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,901  ~ \(\times\)  ~ 0,1
\item   78,95  ~ \(\times\)  ~ 0,001
\item   5,764  ~ \(\times\)  ~ 0,01
\item   6,943  ~ \(\times\)  ~ 0,001
\item   7,09  ~ \(\times\)  ~ 0,1
\item   62,35  ~ \(\times\)  ~ 0,001
\item   2,95  ~ \(\times\)  ~ 0,001
\item   9,058  ~ \(\times\)  ~ 0,01
\item   4,054  ~ \(\times\)  ~ 0,1
\item   35,87  ~ \(\times\)  ~ 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   640,7  ~ \(\times\)  ~ ... ~ = ~  0,640 7
\item   58,06  ~ \(\times\)  ~ ... ~ = ~  0,058 06
\item   7 380  ~ \(\times\)  ~ ... ~ = ~  73,8
\item   50,65  ~ \(\times\)  ~ ... ~ = ~  0,050 65
\item   4,906  ~ \(\times\)  ~ ... ~ = ~  0,004 906
\item   2 910  ~ \(\times\)  ~ ... ~ = ~  2,91
\item   1,394  ~ \(\times\)  ~ ... ~ = ~  0,139 4
\item   6 782  ~ \(\times\)  ~ ... ~ = ~  678,2
\item   15,81  ~ \(\times\)  ~ ... ~ = ~  0,158 1
\item   2,962  ~ \(\times\)  ~ ... ~ = ~  0,029 62
\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 ~cm~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~cm~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   499,64 ~km~ = ...~hm
\item   379,25 ~kg~ = ...~cg
\item   208,68 ~dam~ = ...~dm
\item   336,81 ~dg~ = ...~dag
\item   3 277,3 ~hg~ = ...~cg
\item   778,06 ~dL~ = ...~cL
\item   5 855,1 ~mg~ = ...~dg
\item   214,13 ~mm~ = ...~m
\item   483,13 ~hL~ = ...~dL
\item   915,42 ~kg~ = ...~hg
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{3400}{100}\) = \(\dfrac{340}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{42}{10}\) = \(\dfrac{420}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{260}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 580}
\item   7,75  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 750}
\item   0,796  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 796}
\item   0,061  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,61}
\item   104  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 10 400}
\item   911  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 110}
\item   5,82  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 58,2}
\item   8,16  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 816}
\item   0,305  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,05}
\item   0,371  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 371}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   651,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,651 6}
\item   48,62 ~ : ~ 100 ~ = ~{\color{red} 0,486 2}
\item   9 542 ~ : ~ 1 000 ~ = ~{\color{red} 9,542}
\item   6 811 ~ : ~ 100 ~ = ~{\color{red} 68,11}
\item   806 ~ : ~ 1 000 ~ = ~{\color{red} 0,806}
\item   6,22 ~ : ~ 100 ~ = ~{\color{red} 0,062 2}
\item   78,91 ~ : ~ 100 ~ = ~{\color{red} 0,789 1}
\item   63,43 ~ : ~ 10 ~ = ~{\color{red} 6,343}
\item   32,33 ~ : ~ 1 000 ~ = ~{\color{red} 0,032 33}
\item   525,9 ~ : ~ 10 ~ = ~{\color{red} 52,59}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,265 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~26,5
\item   0,051 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,51
\item   0,784 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7,84
\item   0,377 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,77
\item   15,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~157
\item   8,57 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 570
\item   0,168 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,68
\item   589 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~589 000
\item   45,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~45 300
\item   0,925 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~925
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,901 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,290 1
}\item   78,95 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,078 95
}\item   5,764 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,057 64
}\item   6,943 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 943
}\item   7,09 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,709
}\item   62,35 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,062 35
}\item   2,95 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 95
}\item   9,058 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,090 58
}\item   4,054 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,405 4
}\item   35,87 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,587
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   640,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,640 7
\item   58,06 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,058 06
\item   7 380 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 73,8
\item   50,65 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,050 65
\item   4,906 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 906
\item   2 910 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,91
\item   1,394 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,139 4
\item   6 782 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 678,2
\item   15,81 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,158 1
\item   2,962 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,029 62
\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 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   499,64 ~km~ = {\color{red}  4 996,4 }~hm
\item   379,25 ~kg~ = {\color{red}  37 925 000 }~cg
\item   208,68 ~dam~ = {\color{red}  20 868 }~dm
\item   336,81 ~dg~ = {\color{red}  3,368 1 }~dag
\item   3 277,3 ~hg~ = {\color{red}  32 773 000 }~cg
\item   778,06 ~dL~ = {\color{red}  7 780,6 }~cL
\item   5 855,1 ~mg~ = {\color{red}  58,551 }~dg
\item   214,13 ~mm~ = {\color{red}  0,214 13 }~m
\item   483,13 ~hL~ = {\color{red}  483 130 }~dL
\item   915,42 ~kg~ = {\color{red}  9 154,2 }~hg
\end{itemize}
\end{multicols}
\end{document}
