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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{21}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{49}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   355  ~ \(\times\)  ~ 10
\item   504  ~ \(\times\)  ~ 10
\item   299  ~ \(\times\)  ~ 100
\item   884  ~ \(\times\)  ~ 1 000
\item   7,7  ~ \(\times\)  ~ 100
\item   82,3  ~ \(\times\)  ~ 10
\item   0,877  ~ \(\times\)  ~ 10
\item   0,636  ~ \(\times\)  ~ 10
\item   726  ~ \(\times\)  ~ 10
\item   1,85  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   59,42  ~ : ~ 10
\item   6 841  ~ : ~ 10
\item   54,83  ~ : ~ 100
\item   87,95  ~ : ~ 1 000
\item   1,081  ~ : ~ 100
\item   35,36  ~ : ~ 10
\item   37,7  ~ : ~ 100
\item   70,48  ~ : ~ 10
\item   6,892  ~ : ~ 100
\item   2,451  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,01  ~ \(\times\)  ~ ... ~ = ~ 1
\item   0,007  ~ \(\times\)  ~ ... ~ = ~ 7
\item   933  ~ \(\times\)  ~ ... ~ = ~ 933 000
\item   0,089  ~ \(\times\)  ~ ... ~ = ~ 89
\item   0,065  ~ \(\times\)  ~ ... ~ = ~ 6,5
\item   3,34  ~ \(\times\)  ~ ... ~ = ~ 33,4
\item   196  ~ \(\times\)  ~ ... ~ = ~ 196 000
\item   295  ~ \(\times\)  ~ ... ~ = ~ 29 500
\item   976  ~ \(\times\)  ~ ... ~ = ~ 9 760
\item   0,065  ~ \(\times\)  ~ ... ~ = ~ 65
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,36  ~ \(\times\)  ~ 0,01
\item   729,5  ~ \(\times\)  ~ 0,01
\item   453,6  ~ \(\times\)  ~ 0,001
\item   859,7  ~ \(\times\)  ~ 0,01
\item   55,4  ~ \(\times\)  ~ 0,1
\item   4,404  ~ \(\times\)  ~ 0,1
\item   296,5  ~ \(\times\)  ~ 0,1
\item   1 602  ~ \(\times\)  ~ 0,001
\item   2,268  ~ \(\times\)  ~ 0,001
\item   2 782  ~ \(\times\)  ~ 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   7,421  ~ \(\times\)  ~ ... ~ = ~  0,007 421
\item   4,645  ~ \(\times\)  ~ ... ~ = ~  0,046 45
\item   628  ~ \(\times\)  ~ ... ~ = ~  0,628
\item   8 711  ~ \(\times\)  ~ ... ~ = ~  871,1
\item   5,362  ~ \(\times\)  ~ ... ~ = ~  0,536 2
\item   53,66  ~ \(\times\)  ~ ... ~ = ~  0,536 6
\item   951,7  ~ \(\times\)  ~ ... ~ = ~  9,517
\item   8 625  ~ \(\times\)  ~ ... ~ = ~  8,625
\item   6 862  ~ \(\times\)  ~ ... ~ = ~  6,862
\item   7 753  ~ \(\times\)  ~ ... ~ = ~  775,3
\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~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~km
\item   1 ~cm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 079,3 ~hg~ = ...~kg
\item   356,65 ~mm~ = ...~cm
\item   8 170,1 ~dag~ = ...~dg
\item   691,6 ~hm~ = ...~cm
\item   116,9 ~L~ = ...~cL
\item   805,85 ~dg~ = ...~dag
\item   2 520,2 ~dg~ = ...~g
\item   929,3 ~hm~ = ...~dm
\item   283,68 ~hg~ = ...~dg
\item   745,77 ~L~ = ...~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   5 = \(\dfrac{50}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{730}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{21}{10}\) = \(\dfrac{210}{100}\)
\item   \(\dfrac{49}{100}\) = \(\dfrac{490}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   355  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 550}
\item   504  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 040}
\item   299  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29 900}
\item   884  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 884 000}
\item   7,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 770}
\item   82,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 823}
\item   0,877  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,77}
\item   0,636  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,36}
\item   726  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 260}
\item   1,85  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 185}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   59,42 ~ : ~ 10 ~ = ~{\color{red} 5,942}
\item   6 841 ~ : ~ 10 ~ = ~{\color{red} 684,1}
\item   54,83 ~ : ~ 100 ~ = ~{\color{red} 0,548 3}
\item   87,95 ~ : ~ 1 000 ~ = ~{\color{red} 0,087 95}
\item   1,081 ~ : ~ 100 ~ = ~{\color{red} 0,010 81}
\item   35,36 ~ : ~ 10 ~ = ~{\color{red} 3,536}
\item   37,7 ~ : ~ 100 ~ = ~{\color{red} 0,377}
\item   70,48 ~ : ~ 10 ~ = ~{\color{red} 7,048}
\item   6,892 ~ : ~ 100 ~ = ~{\color{red} 0,068 92}
\item   2,451 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 451}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,01 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1
\item   0,007 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7
\item   933 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~933 000
\item   0,089 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~89
\item   0,065 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,5
\item   3,34 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~33,4
\item   196 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~196 000
\item   295 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~29 500
\item   976 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 760
\item   0,065 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~65
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,36 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,603 6
}\item   729,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,295
}\item   453,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,453 6
}\item   859,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,597
}\item   55,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,54
}\item   4,404 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,440 4
}\item   296,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 29,65
}\item   1 602 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,602
}\item   2,268 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 268
}\item   2 782 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,782
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,421 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 421
\item   4,645 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,046 45
\item   628 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,628
\item   8 711 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 871,1
\item   5,362 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,536 2
\item   53,66 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,536 6
\item   951,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,517
\item   8 625 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,625
\item   6 862 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,862
\item   7 753 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 775,3
\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~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 079,3 ~hg~ = {\color{red}  907,93 }~kg
\item   356,65 ~mm~ = {\color{red}  35,665 }~cm
\item   8 170,1 ~dag~ = {\color{red}  817 010 }~dg
\item   691,6 ~hm~ = {\color{red}  6 916 000 }~cm
\item   116,9 ~L~ = {\color{red}  11 690 }~cL
\item   805,85 ~dg~ = {\color{red}  8,058 5 }~dag
\item   2 520,2 ~dg~ = {\color{red}  252,02 }~g
\item   929,3 ~hm~ = {\color{red}  929 300 }~dm
\item   283,68 ~hg~ = {\color{red}  283 680 }~dg
\item   745,77 ~L~ = {\color{red}  0,745 77 }~kL
\end{itemize}
\end{multicols}
\end{document}
