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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{61}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,045  ~ \(\times\)  ~ 10
\item   554  ~ \(\times\)  ~ 10
\item   0,763  ~ \(\times\)  ~ 100
\item   5,8  ~ \(\times\)  ~ 100
\item   2,44  ~ \(\times\)  ~ 10
\item   19,1  ~ \(\times\)  ~ 10
\item   9,23  ~ \(\times\)  ~ 100
\item   0,65  ~ \(\times\)  ~ 10
\item   0,421  ~ \(\times\)  ~ 1 000
\item   0,291  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   213,4  ~ : ~ 10
\item   658,1  ~ : ~ 1 000
\item   276,4  ~ : ~ 10
\item   52,9  ~ : ~ 100
\item   645,2  ~ : ~ 1 000
\item   9 176  ~ : ~ 1 000
\item   41,49  ~ : ~ 1 000
\item   97,73  ~ : ~ 1 000
\item   57,25  ~ : ~ 100
\item   6 683  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,2  ~ \(\times\)  ~ ... ~ = ~ 9 200
\item   4,53  ~ \(\times\)  ~ ... ~ = ~ 45,3
\item   0,876  ~ \(\times\)  ~ ... ~ = ~ 876
\item   0,829  ~ \(\times\)  ~ ... ~ = ~ 829
\item   26,9  ~ \(\times\)  ~ ... ~ = ~ 269
\item   0,07  ~ \(\times\)  ~ ... ~ = ~ 7
\item   177  ~ \(\times\)  ~ ... ~ = ~ 17 700
\item   732  ~ \(\times\)  ~ ... ~ = ~ 732 000
\item   0,006  ~ \(\times\)  ~ ... ~ = ~ 0,06
\item   9,16  ~ \(\times\)  ~ ... ~ = ~ 9 160
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36,47  ~ \(\times\)  ~ 0,01
\item   7 567  ~ \(\times\)  ~ 0,001
\item   1,969  ~ \(\times\)  ~ 0,1
\item   8 707  ~ \(\times\)  ~ 0,001
\item   986  ~ \(\times\)  ~ 0,1
\item   6 488  ~ \(\times\)  ~ 0,01
\item   2,583  ~ \(\times\)  ~ 0,001
\item   0,737  ~ \(\times\)  ~ 0,1
\item   0,909  ~ \(\times\)  ~ 0,1
\item   334,7  ~ \(\times\)  ~ 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   1 646  ~ \(\times\)  ~ ... ~ = ~  164,6
\item   3 569  ~ \(\times\)  ~ ... ~ = ~  356,9
\item   4 223  ~ \(\times\)  ~ ... ~ = ~  4,223
\item   6 687  ~ \(\times\)  ~ ... ~ = ~  6,687
\item   7,085  ~ \(\times\)  ~ ... ~ = ~  0,070 85
\item   5,731  ~ \(\times\)  ~ ... ~ = ~  0,005 731
\item   32,82  ~ \(\times\)  ~ ... ~ = ~  0,328 2
\item   248,2  ~ \(\times\)  ~ ... ~ = ~  2,482
\item   13,69  ~ \(\times\)  ~ ... ~ = ~  0,136 9
\item   4 368  ~ \(\times\)  ~ ... ~ = ~  436,8
\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~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 792,5 ~hm~ = ...~mm
\item   365,9 ~dam~ = ...~mm
\item   2 985,5 ~cL~ = ...~mL
\item   8 700,7 ~dag~ = ...~hg
\item   334,19 ~g~ = ...~mg
\item   129 ~kg~ = ...~dg
\item   6 433 ~L~ = ...~dL
\item   601,87 ~hL~ = ...~dL
\item   760,98 ~daL~ = ...~cL
\item   821,99 ~dam~ = ...~hm
\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   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{690}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{61}{10}\) = \(\dfrac{610}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{550}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,045  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,45}
\item   554  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 540}
\item   0,763  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 76,3}
\item   5,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 580}
\item   2,44  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 24,4}
\item   19,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 191}
\item   9,23  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 923}
\item   0,65  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,5}
\item   0,421  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 421}
\item   0,291  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2,91}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   213,4 ~ : ~ 10 ~ = ~{\color{red} 21,34}
\item   658,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,658 1}
\item   276,4 ~ : ~ 10 ~ = ~{\color{red} 27,64}
\item   52,9 ~ : ~ 100 ~ = ~{\color{red} 0,529}
\item   645,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,645 2}
\item   9 176 ~ : ~ 1 000 ~ = ~{\color{red} 9,176}
\item   41,49 ~ : ~ 1 000 ~ = ~{\color{red} 0,041 49}
\item   97,73 ~ : ~ 1 000 ~ = ~{\color{red} 0,097 73}
\item   57,25 ~ : ~ 100 ~ = ~{\color{red} 0,572 5}
\item   6 683 ~ : ~ 10 ~ = ~{\color{red} 668,3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 200
\item   4,53 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~45,3
\item   0,876 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~876
\item   0,829 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~829
\item   26,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~269
\item   0,07 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7
\item   177 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~17 700
\item   732 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~732 000
\item   0,006 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,06
\item   9,16 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 160
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   36,47 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,364 7
}\item   7 567 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,567
}\item   1,969 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,196 9
}\item   8 707 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,707
}\item   986 ~ \(\times\)  0,1 ~ = ~{\color{red} 98,6
}\item   6 488 ~ \(\times\)  0,01 ~ = ~{\color{red} 64,88
}\item   2,583 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 583
}\item   0,737 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,073 7
}\item   0,909 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,090 9
}\item   334,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 33,47
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 646 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 164,6
\item   3 569 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 356,9
\item   4 223 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,223
\item   6 687 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,687
\item   7,085 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,070 85
\item   5,731 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 731
\item   32,82 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,328 2
\item   248,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,482
\item   13,69 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,136 9
\item   4 368 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 436,8
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 792,5 ~hm~ = {\color{red}  379 250 000 }~mm
\item   365,9 ~dam~ = {\color{red}  3 659 000 }~mm
\item   2 985,5 ~cL~ = {\color{red}  29 855 }~mL
\item   8 700,7 ~dag~ = {\color{red}  870,07 }~hg
\item   334,19 ~g~ = {\color{red}  334 190 }~mg
\item   129 ~kg~ = {\color{red}  1 290 000 }~dg
\item   6 433 ~L~ = {\color{red}  64 330 }~dL
\item   601,87 ~hL~ = {\color{red}  601 870 }~dL
\item   760,98 ~daL~ = {\color{red}  760 980 }~cL
\item   821,99 ~dam~ = {\color{red}  82,199 }~hm
\end{itemize}
\end{multicols}
\end{document}
