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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{90}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{45}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   947  ~ \(\times\)  ~ 1 000
\item   45,9  ~ \(\times\)  ~ 1 000
\item   0,025  ~ \(\times\)  ~ 100
\item   0,458  ~ \(\times\)  ~ 10
\item   206  ~ \(\times\)  ~ 100
\item   0,73  ~ \(\times\)  ~ 100
\item   673  ~ \(\times\)  ~ 100
\item   45,4  ~ \(\times\)  ~ 1 000
\item   0,977  ~ \(\times\)  ~ 100
\item   666  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   239,3  ~ : ~ 100
\item   815,6  ~ : ~ 10
\item   6,378  ~ : ~ 10
\item   939,1  ~ : ~ 1 000
\item   5 438  ~ : ~ 10
\item   897,2  ~ : ~ 1 000
\item   8,52  ~ : ~ 10
\item   7,798  ~ : ~ 1 000
\item   48,48  ~ : ~ 10
\item   183,1  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,33  ~ \(\times\)  ~ ... ~ = ~ 3 330
\item   8,29  ~ \(\times\)  ~ ... ~ = ~ 82,9
\item   8,54  ~ \(\times\)  ~ ... ~ = ~ 8 540
\item   5,36  ~ \(\times\)  ~ ... ~ = ~ 5 360
\item   1  ~ \(\times\)  ~ ... ~ = ~ 1 000
\item   2,17  ~ \(\times\)  ~ ... ~ = ~ 2 170
\item   700  ~ \(\times\)  ~ ... ~ = ~ 7 000
\item   4,67  ~ \(\times\)  ~ ... ~ = ~ 46,7
\item   3,26  ~ \(\times\)  ~ ... ~ = ~ 32,6
\item   7,86  ~ \(\times\)  ~ ... ~ = ~ 7 860
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,52  ~ \(\times\)  ~ 0,1
\item   4 094  ~ \(\times\)  ~ 0,001
\item   9,043  ~ \(\times\)  ~ 0,1
\item   7,953  ~ \(\times\)  ~ 0,1
\item   86  ~ \(\times\)  ~ 0,001
\item   7 453  ~ \(\times\)  ~ 0,001
\item   4,877  ~ \(\times\)  ~ 0,1
\item   510  ~ \(\times\)  ~ 0,01
\item   9,13  ~ \(\times\)  ~ 0,1
\item   2,348  ~ \(\times\)  ~ 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   754,7  ~ \(\times\)  ~ ... ~ = ~  75,47
\item   69  ~ \(\times\)  ~ ... ~ = ~  6,9
\item   763,1  ~ \(\times\)  ~ ... ~ = ~  76,31
\item   452  ~ \(\times\)  ~ ... ~ = ~  4,52
\item   7 345  ~ \(\times\)  ~ ... ~ = ~  7,345
\item   1 851  ~ \(\times\)  ~ ... ~ = ~  1,851
\item   150,4  ~ \(\times\)  ~ ... ~ = ~  0,150 4
\item   1,763  ~ \(\times\)  ~ ... ~ = ~  0,017 63
\item   744  ~ \(\times\)  ~ ... ~ = ~  0,744
\item   374,3  ~ \(\times\)  ~ ... ~ = ~  0,374 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 ~m~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   136,11 ~g~ = ...~dag
\item   929,12 ~cg~ = ...~kg
\item   686,29 ~mL~ = ...~daL
\item   391,95 ~m~ = ...~mm
\item   2 277,8 ~hm~ = ...~dm
\item   3 040,6 ~m~ = ...~dam
\item   6 804,3 ~kg~ = ...~mg
\item   1 308,3 ~dg~ = ...~g
\item   888,74 ~kg~ = ...~dag
\item   590,82 ~hg~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{1400}{100}\) = \(\dfrac{140}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{90}{10}\) = \(\dfrac{900}{100}\)
\item   \(\dfrac{45}{100}\) = \(\dfrac{450}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   947  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 947 000}
\item   45,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 45 900}
\item   0,025  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,5}
\item   0,458  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,58}
\item   206  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 20 600}
\item   0,73  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 73}
\item   673  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 67 300}
\item   45,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 45 400}
\item   0,977  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 97,7}
\item   666  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 666 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   239,3 ~ : ~ 100 ~ = ~{\color{red} 2,393}
\item   815,6 ~ : ~ 10 ~ = ~{\color{red} 81,56}
\item   6,378 ~ : ~ 10 ~ = ~{\color{red} 0,637 8}
\item   939,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,939 1}
\item   5 438 ~ : ~ 10 ~ = ~{\color{red} 543,8}
\item   897,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,897 2}
\item   8,52 ~ : ~ 10 ~ = ~{\color{red} 0,852}
\item   7,798 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 798}
\item   48,48 ~ : ~ 10 ~ = ~{\color{red} 4,848}
\item   183,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,183 1}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,33 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 330
\item   8,29 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~82,9
\item   8,54 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 540
\item   5,36 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 360
\item   1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 000
\item   2,17 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 170
\item   700 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7 000
\item   4,67 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~46,7
\item   3,26 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~32,6
\item   7,86 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 860
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,52 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,052
}\item   4 094 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,094
}\item   9,043 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,904 3
}\item   7,953 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,795 3
}\item   86 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,086
}\item   7 453 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,453
}\item   4,877 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,487 7
}\item   510 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,1
}\item   9,13 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,913
}\item   2,348 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,234 8
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   754,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 75,47
\item   69 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,9
\item   763,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 76,31
\item   452 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,52
\item   7 345 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,345
\item   1 851 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,851
\item   150,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,150 4
\item   1,763 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,017 63
\item   744 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,744
\item   374,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,374 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 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   136,11 ~g~ = {\color{red}  13,611 }~dag
\item   929,12 ~cg~ = {\color{red}  0,009 291 2 }~kg
\item   686,29 ~mL~ = {\color{red}  0,068 629 }~daL
\item   391,95 ~m~ = {\color{red}  391 950 }~mm
\item   2 277,8 ~hm~ = {\color{red}  2 277 800 }~dm
\item   3 040,6 ~m~ = {\color{red}  304,06 }~dam
\item   6 804,3 ~kg~ = {\color{red}  6 804 300 000 }~mg
\item   1 308,3 ~dg~ = {\color{red}  130,83 }~g
\item   888,74 ~kg~ = {\color{red}  88 874 }~dag
\item   590,82 ~hg~ = {\color{red}  5 908 200 }~cg
\end{itemize}
\end{multicols}
\end{document}
