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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{42}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,005  ~ \(\times\)  ~ 100
\item   126  ~ \(\times\)  ~ 10
\item   0,086  ~ \(\times\)  ~ 100
\item   0,364  ~ \(\times\)  ~ 10
\item   32,7  ~ \(\times\)  ~ 100
\item   9,62  ~ \(\times\)  ~ 10
\item   0,085  ~ \(\times\)  ~ 1 000
\item   0,081  ~ \(\times\)  ~ 1 000
\item   0,892  ~ \(\times\)  ~ 10
\item   5,52  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,23  ~ : ~ 1 000
\item   548,6  ~ : ~ 100
\item   1,278  ~ : ~ 10
\item   87,89  ~ : ~ 10
\item   2 500  ~ : ~ 100
\item   9 237  ~ : ~ 10
\item   73,19  ~ : ~ 1 000
\item   2 741  ~ : ~ 1 000
\item   8,16  ~ : ~ 1 000
\item   5 701  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,7  ~ \(\times\)  ~ ... ~ = ~ 6 770
\item   1,15  ~ \(\times\)  ~ ... ~ = ~ 1 150
\item   280  ~ \(\times\)  ~ ... ~ = ~ 28 000
\item   80,8  ~ \(\times\)  ~ ... ~ = ~ 80 800
\item   103  ~ \(\times\)  ~ ... ~ = ~ 10 300
\item   2,51  ~ \(\times\)  ~ ... ~ = ~ 2 510
\item   83,1  ~ \(\times\)  ~ ... ~ = ~ 831
\item   0,093  ~ \(\times\)  ~ ... ~ = ~ 0,93
\item   92,9  ~ \(\times\)  ~ ... ~ = ~ 929
\item   55,5  ~ \(\times\)  ~ ... ~ = ~ 5 550
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,009  ~ \(\times\)  ~ 0,1
\item   5,734  ~ \(\times\)  ~ 0,1
\item   65,67  ~ \(\times\)  ~ 0,1
\item   5 894  ~ \(\times\)  ~ 0,1
\item   4 043  ~ \(\times\)  ~ 0,01
\item   256,5  ~ \(\times\)  ~ 0,01
\item   442,4  ~ \(\times\)  ~ 0,01
\item   36,96  ~ \(\times\)  ~ 0,01
\item   9,281  ~ \(\times\)  ~ 0,001
\item   73,55  ~ \(\times\)  ~ 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   5,02  ~ \(\times\)  ~ ... ~ = ~  0,050 2
\item   7,918  ~ \(\times\)  ~ ... ~ = ~  0,007 918
\item   66,73  ~ \(\times\)  ~ ... ~ = ~  0,667 3
\item   5 094  ~ \(\times\)  ~ ... ~ = ~  509,4
\item   41,5  ~ \(\times\)  ~ ... ~ = ~  0,041 5
\item   5 254  ~ \(\times\)  ~ ... ~ = ~  5,254
\item   940,4  ~ \(\times\)  ~ ... ~ = ~  94,04
\item   4 704  ~ \(\times\)  ~ ... ~ = ~  47,04
\item   73,4  ~ \(\times\)  ~ ... ~ = ~  7,34
\item   6,609  ~ \(\times\)  ~ ... ~ = ~  0,066 09
\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 ~hm~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~km~ = ...~dam
\item   1 ~hm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 565 ~dm~ = ...~hm
\item   464,28 ~dam~ = ...~km
\item   6 077 ~km~ = ...~m
\item   6 293,2 ~hg~ = ...~dg
\item   4 876,8 ~mm~ = ...~km
\item   221,49 ~cL~ = ...~kL
\item   853,69 ~dg~ = ...~dag
\item   7 590,5 ~km~ = ...~hm
\item   758,69 ~g~ = ...~dag
\item   513,45 ~mL~ = ...~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   9 = \(\dfrac{90}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{7300}{100}\) = \(\dfrac{730}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{270}{100}\)
\item   \(\dfrac{42}{100}\) = \(\dfrac{420}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,005  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,5}
\item   126  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 260}
\item   0,086  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,6}
\item   0,364  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,64}
\item   32,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 270}
\item   9,62  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 96,2}
\item   0,085  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 85}
\item   0,081  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 81}
\item   0,892  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,92}
\item   5,52  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 520}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,23 ~ : ~ 1 000 ~ = ~{\color{red} 0,046 23}
\item   548,6 ~ : ~ 100 ~ = ~{\color{red} 5,486}
\item   1,278 ~ : ~ 10 ~ = ~{\color{red} 0,127 8}
\item   87,89 ~ : ~ 10 ~ = ~{\color{red} 8,789}
\item   2 500 ~ : ~ 100 ~ = ~{\color{red} 25}
\item   9 237 ~ : ~ 10 ~ = ~{\color{red} 923,7}
\item   73,19 ~ : ~ 1 000 ~ = ~{\color{red} 0,073 19}
\item   2 741 ~ : ~ 1 000 ~ = ~{\color{red} 2,741}
\item   8,16 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 16}
\item   5 701 ~ : ~ 100 ~ = ~{\color{red} 57,01}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 770
\item   1,15 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 150
\item   280 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~28 000
\item   80,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~80 800
\item   103 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~10 300
\item   2,51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 510
\item   83,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~831
\item   0,093 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,93
\item   92,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~929
\item   55,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 550
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,009 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,800 9
}\item   5,734 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,573 4
}\item   65,67 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,567
}\item   5 894 ~ \(\times\)  0,1 ~ = ~{\color{red} 589,4
}\item   4 043 ~ \(\times\)  0,01 ~ = ~{\color{red} 40,43
}\item   256,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,565
}\item   442,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,424
}\item   36,96 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,369 6
}\item   9,281 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 281
}\item   73,55 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,735 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   5,02 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,050 2
\item   7,918 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 918
\item   66,73 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,667 3
\item   5 094 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 509,4
\item   41,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,041 5
\item   5 254 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,254
\item   940,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 94,04
\item   4 704 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 47,04
\item   73,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,34
\item   6,609 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,066 09
\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 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 565 ~dm~ = {\color{red}  9,565 }~hm
\item   464,28 ~dam~ = {\color{red}  4,642 8 }~km
\item   6 077 ~km~ = {\color{red}  6 077 000 }~m
\item   6 293,2 ~hg~ = {\color{red}  6 293 200 }~dg
\item   4 876,8 ~mm~ = {\color{red}  0,004 876 8 }~km
\item   221,49 ~cL~ = {\color{red}  0,002 214 9 }~kL
\item   853,69 ~dg~ = {\color{red}  8,536 9 }~dag
\item   7 590,5 ~km~ = {\color{red}  75 905 }~hm
\item   758,69 ~g~ = {\color{red}  75,869 }~dag
\item   513,45 ~mL~ = {\color{red}  0,000 513 45 }~kL
\end{itemize}
\end{multicols}
\end{document}
