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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{75}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,3  ~ \(\times\)  ~ 100
\item   0,318  ~ \(\times\)  ~ 1 000
\item   4,5  ~ \(\times\)  ~ 10
\item   0,018  ~ \(\times\)  ~ 10
\item   98  ~ \(\times\)  ~ 10
\item   47,6  ~ \(\times\)  ~ 1 000
\item   0,689  ~ \(\times\)  ~ 10
\item   0,635  ~ \(\times\)  ~ 100
\item   5,6  ~ \(\times\)  ~ 100
\item   0,08  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,197  ~ : ~ 100
\item   65,19  ~ : ~ 1 000
\item   320,2  ~ : ~ 100
\item   39,18  ~ : ~ 1 000
\item   834,2  ~ : ~ 1 000
\item   0,936  ~ : ~ 1 000
\item   43,72  ~ : ~ 1 000
\item   1 465  ~ : ~ 1 000
\item   70,55  ~ : ~ 100
\item   268,3  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,45  ~ \(\times\)  ~ ... ~ = ~ 54,5
\item   3,78  ~ \(\times\)  ~ ... ~ = ~ 378
\item   1,15  ~ \(\times\)  ~ ... ~ = ~ 1 150
\item   0,946  ~ \(\times\)  ~ ... ~ = ~ 94,6
\item   860  ~ \(\times\)  ~ ... ~ = ~ 860 000
\item   3,28  ~ \(\times\)  ~ ... ~ = ~ 3 280
\item   598  ~ \(\times\)  ~ ... ~ = ~ 59 800
\item   0,821  ~ \(\times\)  ~ ... ~ = ~ 821
\item   0,036  ~ \(\times\)  ~ ... ~ = ~ 0,36
\item   71,7  ~ \(\times\)  ~ ... ~ = ~ 7 170
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   98,26  ~ \(\times\)  ~ 0,01
\item   4,136  ~ \(\times\)  ~ 0,01
\item   8 525  ~ \(\times\)  ~ 0,01
\item   21,77  ~ \(\times\)  ~ 0,1
\item   10,1  ~ \(\times\)  ~ 0,001
\item   4,324  ~ \(\times\)  ~ 0,1
\item   63,04  ~ \(\times\)  ~ 0,001
\item   612,4  ~ \(\times\)  ~ 0,1
\item   8,452  ~ \(\times\)  ~ 0,1
\item   7,696  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   15,07  ~ \(\times\)  ~ ... ~ = ~  1,507
\item   215,4  ~ \(\times\)  ~ ... ~ = ~  0,215 4
\item   3,676  ~ \(\times\)  ~ ... ~ = ~  0,003 676
\item   531  ~ \(\times\)  ~ ... ~ = ~  5,31
\item   5 254  ~ \(\times\)  ~ ... ~ = ~  5,254
\item   902,2  ~ \(\times\)  ~ ... ~ = ~  90,22
\item   30,53  ~ \(\times\)  ~ ... ~ = ~  0,305 3
\item   623,2  ~ \(\times\)  ~ ... ~ = ~  0,623 2
\item   19,53  ~ \(\times\)  ~ ... ~ = ~  1,953
\item   65,85  ~ \(\times\)  ~ ... ~ = ~  0,065 85
\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 ~hm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~dm~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 321,8 ~hm~ = ...~m
\item   2 463 ~daL~ = ...~hL
\item   3 968,5 ~kg~ = ...~dag
\item   895,35 ~dm~ = ...~dam
\item   1 828,6 ~cm~ = ...~km
\item   9 497,1 ~dag~ = ...~mg
\item   8 983,6 ~mm~ = ...~dam
\item   240,5 ~dam~ = ...~mm
\item   528,68 ~dm~ = ...~mm
\item   9 297,1 ~mL~ = ...~hL
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{620}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{580}{100}\)
\item   \(\dfrac{75}{100}\) = \(\dfrac{750}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 830}
\item   0,318  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 318}
\item   4,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 45}
\item   0,018  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,18}
\item   98  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 980}
\item   47,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 47 600}
\item   0,689  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,89}
\item   0,635  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 63,5}
\item   5,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 560}
\item   0,08  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,8}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,197 ~ : ~ 100 ~ = ~{\color{red} 0,041 97}
\item   65,19 ~ : ~ 1 000 ~ = ~{\color{red} 0,065 19}
\item   320,2 ~ : ~ 100 ~ = ~{\color{red} 3,202}
\item   39,18 ~ : ~ 1 000 ~ = ~{\color{red} 0,039 18}
\item   834,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,834 2}
\item   0,936 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 936}
\item   43,72 ~ : ~ 1 000 ~ = ~{\color{red} 0,043 72}
\item   1 465 ~ : ~ 1 000 ~ = ~{\color{red} 1,465}
\item   70,55 ~ : ~ 100 ~ = ~{\color{red} 0,705 5}
\item   268,3 ~ : ~ 100 ~ = ~{\color{red} 2,683}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,45 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~54,5
\item   3,78 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~378
\item   1,15 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 150
\item   0,946 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~94,6
\item   860 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~860 000
\item   3,28 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 280
\item   598 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~59 800
\item   0,821 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~821
\item   0,036 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,36
\item   71,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 170
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   98,26 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,982 6
}\item   4,136 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,041 36
}\item   8 525 ~ \(\times\)  0,01 ~ = ~{\color{red} 85,25
}\item   21,77 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,177
}\item   10,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,010 1
}\item   4,324 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,432 4
}\item   63,04 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,063 04
}\item   612,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 61,24
}\item   8,452 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,845 2
}\item   7,696 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,076 96
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   15,07 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,507
\item   215,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,215 4
\item   3,676 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 676
\item   531 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,31
\item   5 254 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,254
\item   902,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 90,22
\item   30,53 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,305 3
\item   623,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,623 2
\item   19,53 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,953
\item   65,85 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,065 85
\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 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 321,8 ~hm~ = {\color{red}  632 180 }~m
\item   2 463 ~daL~ = {\color{red}  246,3 }~hL
\item   3 968,5 ~kg~ = {\color{red}  396 850 }~dag
\item   895,35 ~dm~ = {\color{red}  8,953 5 }~dam
\item   1 828,6 ~cm~ = {\color{red}  0,018 286 }~km
\item   9 497,1 ~dag~ = {\color{red}  94 971 000 }~mg
\item   8 983,6 ~mm~ = {\color{red}  0,898 36 }~dam
\item   240,5 ~dam~ = {\color{red}  2 405 000 }~mm
\item   528,68 ~dm~ = {\color{red}  52 868 }~mm
\item   9 297,1 ~mL~ = {\color{red}  0,092 971 }~hL
\end{itemize}
\end{multicols}
\end{document}
