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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,496  ~ \(\times\)  ~ 10
\item   0,001  ~ \(\times\)  ~ 10
\item   8,75  ~ \(\times\)  ~ 100
\item   0,094  ~ \(\times\)  ~ 10
\item   82,6  ~ \(\times\)  ~ 100
\item   0,028  ~ \(\times\)  ~ 1 000
\item   0,279  ~ \(\times\)  ~ 1 000
\item   0,02  ~ \(\times\)  ~ 100
\item   0,036  ~ \(\times\)  ~ 10
\item   13,6  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 308  ~ : ~ 100
\item   78,96  ~ : ~ 10
\item   220,4  ~ : ~ 10
\item   73,99  ~ : ~ 100
\item   484,9  ~ : ~ 1 000
\item   2,793  ~ : ~ 100
\item   3,663  ~ : ~ 1 000
\item   0,952  ~ : ~ 100
\item   79,41  ~ : ~ 10
\item   16,7  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,75  ~ \(\times\)  ~ ... ~ = ~ 27,5
\item   71,7  ~ \(\times\)  ~ ... ~ = ~ 7 170
\item   73  ~ \(\times\)  ~ ... ~ = ~ 730
\item   0,022  ~ \(\times\)  ~ ... ~ = ~ 22
\item   227  ~ \(\times\)  ~ ... ~ = ~ 2 270
\item   0,045  ~ \(\times\)  ~ ... ~ = ~ 0,45
\item   0,016  ~ \(\times\)  ~ ... ~ = ~ 1,6
\item   4,92  ~ \(\times\)  ~ ... ~ = ~ 492
\item   0,014  ~ \(\times\)  ~ ... ~ = ~ 0,14
\item   51,9  ~ \(\times\)  ~ ... ~ = ~ 5 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,748  ~ \(\times\)  ~ 0,1
\item   4,857  ~ \(\times\)  ~ 0,1
\item   68,37  ~ \(\times\)  ~ 0,001
\item   6 343  ~ \(\times\)  ~ 0,001
\item   718  ~ \(\times\)  ~ 0,001
\item   6,247  ~ \(\times\)  ~ 0,001
\item   2 024  ~ \(\times\)  ~ 0,01
\item   467,4  ~ \(\times\)  ~ 0,1
\item   6,767  ~ \(\times\)  ~ 0,001
\item   571,5  ~ \(\times\)  ~ 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   12,66  ~ \(\times\)  ~ ... ~ = ~  0,126 6
\item   2,685  ~ \(\times\)  ~ ... ~ = ~  0,026 85
\item   199  ~ \(\times\)  ~ ... ~ = ~  19,9
\item   6,004  ~ \(\times\)  ~ ... ~ = ~  0,060 04
\item   3,883  ~ \(\times\)  ~ ... ~ = ~  0,003 883
\item   42,3  ~ \(\times\)  ~ ... ~ = ~  0,042 3
\item   4,084  ~ \(\times\)  ~ ... ~ = ~  0,004 084
\item   32,38  ~ \(\times\)  ~ ... ~ = ~  0,032 38
\item   647,6  ~ \(\times\)  ~ ... ~ = ~  0,647 6
\item   16  ~ \(\times\)  ~ ... ~ = ~  0,16
\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~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   520,26 ~dam~ = ...~cm
\item   492,79 ~g~ = ...~hg
\item   174,06 ~mm~ = ...~m
\item   764,68 ~L~ = ...~mL
\item   7 937,8 ~daL~ = ...~L
\item   3 879,5 ~mL~ = ...~daL
\item   1 737,3 ~hm~ = ...~m
\item   7 444,2 ~cg~ = ...~dag
\item   4 350 ~km~ = ...~hm
\item   3 136,6 ~kg~ = ...~mg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

\needspace{5\baselineskip}
\subsection*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{3000}{100}\) = \(\dfrac{300}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{860}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{730}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,496  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,96}
\item   0,001  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,01}
\item   8,75  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 875}
\item   0,094  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,94}
\item   82,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 260}
\item   0,028  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 28}
\item   0,279  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 279}
\item   0,02  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2}
\item   0,036  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,36}
\item   13,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 136}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 308 ~ : ~ 100 ~ = ~{\color{red} 83,08}
\item   78,96 ~ : ~ 10 ~ = ~{\color{red} 7,896}
\item   220,4 ~ : ~ 10 ~ = ~{\color{red} 22,04}
\item   73,99 ~ : ~ 100 ~ = ~{\color{red} 0,739 9}
\item   484,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,484 9}
\item   2,793 ~ : ~ 100 ~ = ~{\color{red} 0,027 93}
\item   3,663 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 663}
\item   0,952 ~ : ~ 100 ~ = ~{\color{red} 0,009 52}
\item   79,41 ~ : ~ 10 ~ = ~{\color{red} 7,941}
\item   16,7 ~ : ~ 10 ~ = ~{\color{red} 1,67}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,75 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~27,5
\item   71,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 170
\item   73 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~730
\item   0,022 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~22
\item   227 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 270
\item   0,045 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,45
\item   0,016 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,6
\item   4,92 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~492
\item   0,014 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,14
\item   51,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,748 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,274 8
}\item   4,857 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,485 7
}\item   68,37 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,068 37
}\item   6 343 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,343
}\item   718 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,718
}\item   6,247 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 247
}\item   2 024 ~ \(\times\)  0,01 ~ = ~{\color{red} 20,24
}\item   467,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 46,74
}\item   6,767 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 767
}\item   571,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,571 5
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   12,66 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,126 6
\item   2,685 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,026 85
\item   199 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 19,9
\item   6,004 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,060 04
\item   3,883 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 883
\item   42,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,042 3
\item   4,084 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 084
\item   32,38 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,032 38
\item   647,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,647 6
\item   16 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,16
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   520,26 ~dam~ = {\color{red}  520 260 }~cm
\item   492,79 ~g~ = {\color{red}  4,927 9 }~hg
\item   174,06 ~mm~ = {\color{red}  0,174 06 }~m
\item   764,68 ~L~ = {\color{red}  764 680 }~mL
\item   7 937,8 ~daL~ = {\color{red}  79 378 }~L
\item   3 879,5 ~mL~ = {\color{red}  0,387 95 }~daL
\item   1 737,3 ~hm~ = {\color{red}  173 730 }~m
\item   7 444,2 ~cg~ = {\color{red}  7,444 2 }~dag
\item   4 350 ~km~ = {\color{red}  43 500 }~hm
\item   3 136,6 ~kg~ = {\color{red}  3 136 600 000 }~mg
\end{itemize}
\end{multicols}
\end{document}
