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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 294}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{66}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,074  ~ \(\times\)  ~ 1 000
\item   0,891  ~ \(\times\)  ~ 100
\item   0,8  ~ \(\times\)  ~ 100
\item   0,026  ~ \(\times\)  ~ 10
\item   3,72  ~ \(\times\)  ~ 100
\item   0,037  ~ \(\times\)  ~ 1 000
\item   5,94  ~ \(\times\)  ~ 100
\item   2,73  ~ \(\times\)  ~ 100
\item   47  ~ \(\times\)  ~ 10
\item   0,024  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,02  ~ : ~ 10
\item   89,51  ~ : ~ 1 000
\item   524,2  ~ : ~ 1 000
\item   75,53  ~ : ~ 10
\item   4,269  ~ : ~ 10
\item   5,469  ~ : ~ 1 000
\item   3 330  ~ : ~ 10
\item   9,056  ~ : ~ 100
\item   593,3  ~ : ~ 10
\item   6,69  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 0,3
\item   50,5  ~ \(\times\)  ~ ... ~ = ~ 50 500
\item   247  ~ \(\times\)  ~ ... ~ = ~ 247 000
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 36
\item   77  ~ \(\times\)  ~ ... ~ = ~ 7 700
\item   53,2  ~ \(\times\)  ~ ... ~ = ~ 53 200
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 3
\item   0,047  ~ \(\times\)  ~ ... ~ = ~ 0,47
\item   7,44  ~ \(\times\)  ~ ... ~ = ~ 7 440
\item   3,19  ~ \(\times\)  ~ ... ~ = ~ 319
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   414,6  ~ \(\times\)  ~ 0,1
\item   9,141  ~ \(\times\)  ~ 0,001
\item   261,3  ~ \(\times\)  ~ 0,1
\item   111  ~ \(\times\)  ~ 0,1
\item   4 088  ~ \(\times\)  ~ 0,001
\item   15,03  ~ \(\times\)  ~ 0,001
\item   5,801  ~ \(\times\)  ~ 0,1
\item   3,731  ~ \(\times\)  ~ 0,1
\item   1,633  ~ \(\times\)  ~ 0,01
\item   7,042  ~ \(\times\)  ~ 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   7 057  ~ \(\times\)  ~ ... ~ = ~  705,7
\item   9,197  ~ \(\times\)  ~ ... ~ = ~  0,009 197
\item   29,62  ~ \(\times\)  ~ ... ~ = ~  2,962
\item   5,719  ~ \(\times\)  ~ ... ~ = ~  0,571 9
\item   7,057  ~ \(\times\)  ~ ... ~ = ~  0,705 7
\item   8 874  ~ \(\times\)  ~ ... ~ = ~  88,74
\item   714  ~ \(\times\)  ~ ... ~ = ~  0,714
\item   188,6  ~ \(\times\)  ~ ... ~ = ~  0,188 6
\item   7,464  ~ \(\times\)  ~ ... ~ = ~  0,074 64
\item   1,427  ~ \(\times\)  ~ ... ~ = ~  0,001 427
\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~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   496,35 ~cm~ = ...~dam
\item   680,59 ~dag~ = ...~hg
\item   5 729,4 ~hm~ = ...~dm
\item   116,04 ~hm~ = ...~dam
\item   944,01 ~km~ = ...~dm
\item   3 124,3 ~dm~ = ...~hm
\item   474,3 ~dag~ = ...~mg
\item   3 084,1 ~mg~ = ...~g
\item   3 567 ~hL~ = ...~cL
\item   633,39 ~mm~ = ...~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   3 = \(\dfrac{30}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{720}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{220}{100}\)
\item   \(\dfrac{66}{100}\) = \(\dfrac{660}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,074  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 74}
\item   0,891  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 89,1}
\item   0,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 80}
\item   0,026  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,26}
\item   3,72  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 372}
\item   0,037  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 37}
\item   5,94  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 594}
\item   2,73  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 273}
\item   47  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 470}
\item   0,024  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,24}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,02 ~ : ~ 10 ~ = ~{\color{red} 6,302}
\item   89,51 ~ : ~ 1 000 ~ = ~{\color{red} 0,089 51}
\item   524,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,524 2}
\item   75,53 ~ : ~ 10 ~ = ~{\color{red} 7,553}
\item   4,269 ~ : ~ 10 ~ = ~{\color{red} 0,426 9}
\item   5,469 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 469}
\item   3 330 ~ : ~ 10 ~ = ~{\color{red} 333}
\item   9,056 ~ : ~ 100 ~ = ~{\color{red} 0,090 56}
\item   593,3 ~ : ~ 10 ~ = ~{\color{red} 59,33}
\item   6,69 ~ : ~ 10 ~ = ~{\color{red} 0,669}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,03 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,3
\item   50,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~50 500
\item   247 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~247 000
\item   0,036 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~36
\item   77 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 700
\item   53,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~53 200
\item   0,03 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3
\item   0,047 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,47
\item   7,44 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 440
\item   3,19 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~319
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   414,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 41,46
}\item   9,141 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 141
}\item   261,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 26,13
}\item   111 ~ \(\times\)  0,1 ~ = ~{\color{red} 11,1
}\item   4 088 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,088
}\item   15,03 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,015 03
}\item   5,801 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,580 1
}\item   3,731 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,373 1
}\item   1,633 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,016 33
}\item   7,042 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,704 2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 057 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 705,7
\item   9,197 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 197
\item   29,62 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,962
\item   5,719 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,571 9
\item   7,057 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,705 7
\item   8 874 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 88,74
\item   714 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,714
\item   188,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,188 6
\item   7,464 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,074 64
\item   1,427 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 427
\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~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   496,35 ~cm~ = {\color{red}  0,496 35 }~dam
\item   680,59 ~dag~ = {\color{red}  68,059 }~hg
\item   5 729,4 ~hm~ = {\color{red}  5 729 400 }~dm
\item   116,04 ~hm~ = {\color{red}  1 160,4 }~dam
\item   944,01 ~km~ = {\color{red}  9 440 100 }~dm
\item   3 124,3 ~dm~ = {\color{red}  3,124 3 }~hm
\item   474,3 ~dag~ = {\color{red}  4 743 000 }~mg
\item   3 084,1 ~mg~ = {\color{red}  3,084 1 }~g
\item   3 567 ~hL~ = {\color{red}  35 670 000 }~cL
\item   633,39 ~mm~ = {\color{red}  63,339 }~cm
\end{itemize}
\end{multicols}
\end{document}
