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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 130}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{93}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,31  ~ \(\times\)  ~ 10
\item   6,04  ~ \(\times\)  ~ 10
\item   0,036  ~ \(\times\)  ~ 1 000
\item   745  ~ \(\times\)  ~ 1 000
\item   70,8  ~ \(\times\)  ~ 100
\item   0,03  ~ \(\times\)  ~ 10
\item   7,79  ~ \(\times\)  ~ 10
\item   0,037  ~ \(\times\)  ~ 100
\item   0,357  ~ \(\times\)  ~ 1 000
\item   0,393  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85,5  ~ : ~ 1 000
\item   22,23  ~ : ~ 10
\item   263,8  ~ : ~ 10
\item   7,303  ~ : ~ 10
\item   4,716  ~ : ~ 100
\item   14,07  ~ : ~ 1 000
\item   311,8  ~ : ~ 100
\item   20,99  ~ : ~ 100
\item   9,303  ~ : ~ 10
\item   72,63  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65,5  ~ \(\times\)  ~ ... ~ = ~ 655
\item   15,5  ~ \(\times\)  ~ ... ~ = ~ 15 500
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 3,6
\item   0,076  ~ \(\times\)  ~ ... ~ = ~ 76
\item   0,024  ~ \(\times\)  ~ ... ~ = ~ 0,24
\item   0,083  ~ \(\times\)  ~ ... ~ = ~ 8,3
\item   0,49  ~ \(\times\)  ~ ... ~ = ~ 490
\item   49  ~ \(\times\)  ~ ... ~ = ~ 49 000
\item   4,4  ~ \(\times\)  ~ ... ~ = ~ 440
\item   0,048  ~ \(\times\)  ~ ... ~ = ~ 0,48
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 650  ~ \(\times\)  ~ 0,01
\item   9,36  ~ \(\times\)  ~ 0,01
\item   466,5  ~ \(\times\)  ~ 0,01
\item   783,4  ~ \(\times\)  ~ 0,001
\item   3,689  ~ \(\times\)  ~ 0,1
\item   30,45  ~ \(\times\)  ~ 0,1
\item   6 057  ~ \(\times\)  ~ 0,001
\item   651,1  ~ \(\times\)  ~ 0,1
\item   48,58  ~ \(\times\)  ~ 0,01
\item   3 599  ~ \(\times\)  ~ 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   3,508  ~ \(\times\)  ~ ... ~ = ~  0,035 08
\item   7 208  ~ \(\times\)  ~ ... ~ = ~  72,08
\item   53,33  ~ \(\times\)  ~ ... ~ = ~  5,333
\item   81,1  ~ \(\times\)  ~ ... ~ = ~  0,081 1
\item   150  ~ \(\times\)  ~ ... ~ = ~  15
\item   74,18  ~ \(\times\)  ~ ... ~ = ~  0,741 8
\item   647,6  ~ \(\times\)  ~ ... ~ = ~  0,647 6
\item   63,57  ~ \(\times\)  ~ ... ~ = ~  0,063 57
\item   355,8  ~ \(\times\)  ~ ... ~ = ~  35,58
\item   3,372  ~ \(\times\)  ~ ... ~ = ~  0,033 72
\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 ~dm~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   356,43 ~km~ = ...~cm
\item   864,45 ~m~ = ...~cm
\item   8 242,9 ~cm~ = ...~hm
\item   200,68 ~kL~ = ...~daL
\item   5 911,1 ~L~ = ...~hL
\item   9 548,1 ~mm~ = ...~km
\item   604,79 ~dam~ = ...~m
\item   9 078 ~hm~ = ...~cm
\item   7 327,7 ~cL~ = ...~daL
\item   778,68 ~cm~ = ...~dam
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{450}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{93}{10}\) = \(\dfrac{930}{100}\)
\item   \(\dfrac{69}{100}\) = \(\dfrac{690}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,31  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,1}
\item   6,04  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 60,4}
\item   0,036  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 36}
\item   745  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 745 000}
\item   70,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 080}
\item   0,03  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,3}
\item   7,79  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 77,9}
\item   0,037  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,7}
\item   0,357  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 357}
\item   0,393  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,93}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,085 5}
\item   22,23 ~ : ~ 10 ~ = ~{\color{red} 2,223}
\item   263,8 ~ : ~ 10 ~ = ~{\color{red} 26,38}
\item   7,303 ~ : ~ 10 ~ = ~{\color{red} 0,730 3}
\item   4,716 ~ : ~ 100 ~ = ~{\color{red} 0,047 16}
\item   14,07 ~ : ~ 1 000 ~ = ~{\color{red} 0,014 07}
\item   311,8 ~ : ~ 100 ~ = ~{\color{red} 3,118}
\item   20,99 ~ : ~ 100 ~ = ~{\color{red} 0,209 9}
\item   9,303 ~ : ~ 10 ~ = ~{\color{red} 0,930 3}
\item   72,63 ~ : ~ 100 ~ = ~{\color{red} 0,726 3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~655
\item   15,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~15 500
\item   0,036 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,6
\item   0,076 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76
\item   0,024 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,24
\item   0,083 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,3
\item   0,49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~490
\item   49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49 000
\item   4,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~440
\item   0,048 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,48
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 650 ~ \(\times\)  0,01 ~ = ~{\color{red} 96,5
}\item   9,36 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,093 6
}\item   466,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,665
}\item   783,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,783 4
}\item   3,689 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,368 9
}\item   30,45 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,045
}\item   6 057 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,057
}\item   651,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 65,11
}\item   48,58 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,485 8
}\item   3 599 ~ \(\times\)  0,1 ~ = ~{\color{red} 359,9
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,508 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,035 08
\item   7 208 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 72,08
\item   53,33 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,333
\item   81,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,081 1
\item   150 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 15
\item   74,18 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,741 8
\item   647,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,647 6
\item   63,57 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,063 57
\item   355,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 35,58
\item   3,372 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,033 72
\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 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }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   356,43 ~km~ = {\color{red}  35 643 000 }~cm
\item   864,45 ~m~ = {\color{red}  86 445 }~cm
\item   8 242,9 ~cm~ = {\color{red}  0,824 29 }~hm
\item   200,68 ~kL~ = {\color{red}  20 068 }~daL
\item   5 911,1 ~L~ = {\color{red}  59,111 }~hL
\item   9 548,1 ~mm~ = {\color{red}  0,009 548 1 }~km
\item   604,79 ~dam~ = {\color{red}  6 047,9 }~m
\item   9 078 ~hm~ = {\color{red}  90 780 000 }~cm
\item   7 327,7 ~cL~ = {\color{red}  7,327 7 }~daL
\item   778,68 ~cm~ = {\color{red}  0,778 68 }~dam
\end{itemize}
\end{multicols}
\end{document}
