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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{75}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   90  ~ \(\times\)  ~ 100
\item   3,64  ~ \(\times\)  ~ 100
\item   635  ~ \(\times\)  ~ 100
\item   0,443  ~ \(\times\)  ~ 1 000
\item   710  ~ \(\times\)  ~ 100
\item   0,806  ~ \(\times\)  ~ 1 000
\item   2,93  ~ \(\times\)  ~ 1 000
\item   0,027  ~ \(\times\)  ~ 100
\item   122  ~ \(\times\)  ~ 1 000
\item   0,075  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   505,8  ~ : ~ 100
\item   3,923  ~ : ~ 10
\item   7 135  ~ : ~ 100
\item   39,4  ~ : ~ 1 000
\item   146,9  ~ : ~ 100
\item   1,46  ~ : ~ 10
\item   175  ~ : ~ 1 000
\item   945,8  ~ : ~ 1 000
\item   9,41  ~ : ~ 10
\item   8,036  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,2  ~ \(\times\)  ~ ... ~ = ~ 82
\item   67  ~ \(\times\)  ~ ... ~ = ~ 6 700
\item   817  ~ \(\times\)  ~ ... ~ = ~ 81 700
\item   0,301  ~ \(\times\)  ~ ... ~ = ~ 30,1
\item   77,2  ~ \(\times\)  ~ ... ~ = ~ 77 200
\item   0,065  ~ \(\times\)  ~ ... ~ = ~ 65
\item   10  ~ \(\times\)  ~ ... ~ = ~ 10 000
\item   883  ~ \(\times\)  ~ ... ~ = ~ 88 300
\item   887  ~ \(\times\)  ~ ... ~ = ~ 887 000
\item   744  ~ \(\times\)  ~ ... ~ = ~ 744 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 767  ~ \(\times\)  ~ 0,1
\item   2,714  ~ \(\times\)  ~ 0,1
\item   36,93  ~ \(\times\)  ~ 0,1
\item   2,021  ~ \(\times\)  ~ 0,01
\item   978,9  ~ \(\times\)  ~ 0,1
\item   9 568  ~ \(\times\)  ~ 0,001
\item   2,575  ~ \(\times\)  ~ 0,01
\item   78,83  ~ \(\times\)  ~ 0,001
\item   80,1  ~ \(\times\)  ~ 0,01
\item   3 966  ~ \(\times\)  ~ 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   965,3  ~ \(\times\)  ~ ... ~ = ~  0,965 3
\item   435,3  ~ \(\times\)  ~ ... ~ = ~  43,53
\item   8,348  ~ \(\times\)  ~ ... ~ = ~  0,834 8
\item   5,284  ~ \(\times\)  ~ ... ~ = ~  0,005 284
\item   2,248  ~ \(\times\)  ~ ... ~ = ~  0,224 8
\item   84,56  ~ \(\times\)  ~ ... ~ = ~  0,084 56
\item   3,566  ~ \(\times\)  ~ ... ~ = ~  0,035 66
\item   4,848  ~ \(\times\)  ~ ... ~ = ~  0,048 48
\item   13,65  ~ \(\times\)  ~ ... ~ = ~  1,365
\item   8 512  ~ \(\times\)  ~ ... ~ = ~  851,2
\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 ~dam~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   971,56 ~dm~ = ...~m
\item   200,78 ~km~ = ...~dm
\item   6 891,6 ~daL~ = ...~L
\item   8 045,4 ~hL~ = ...~cL
\item   3 686 ~daL~ = ...~hL
\item   2 641,7 ~m~ = ...~mm
\item   970,7 ~dg~ = ...~dag
\item   8 698,4 ~hg~ = ...~dag
\item   5 148,8 ~mL~ = ...~cL
\item   4 385,3 ~dg~ = ...~hg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{1800}{100}\) = \(\dfrac{180}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{75}{10}\) = \(\dfrac{750}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{720}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   90  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 000}
\item   3,64  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 364}
\item   635  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 63 500}
\item   0,443  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 443}
\item   710  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 71 000}
\item   0,806  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 806}
\item   2,93  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 930}
\item   0,027  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,7}
\item   122  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 122 000}
\item   0,075  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 75}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   505,8 ~ : ~ 100 ~ = ~{\color{red} 5,058}
\item   3,923 ~ : ~ 10 ~ = ~{\color{red} 0,392 3}
\item   7 135 ~ : ~ 100 ~ = ~{\color{red} 71,35}
\item   39,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,039 4}
\item   146,9 ~ : ~ 100 ~ = ~{\color{red} 1,469}
\item   1,46 ~ : ~ 10 ~ = ~{\color{red} 0,146}
\item   175 ~ : ~ 1 000 ~ = ~{\color{red} 0,175}
\item   945,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,945 8}
\item   9,41 ~ : ~ 10 ~ = ~{\color{red} 0,941}
\item   8,036 ~ : ~ 10 ~ = ~{\color{red} 0,803 6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~82
\item   67 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 700
\item   817 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~81 700
\item   0,301 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~30,1
\item   77,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~77 200
\item   0,065 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~65
\item   10 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~10 000
\item   883 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~88 300
\item   887 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~887 000
\item   744 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~744 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 767 ~ \(\times\)  0,1 ~ = ~{\color{red} 576,7
}\item   2,714 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,271 4
}\item   36,93 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,693
}\item   2,021 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,020 21
}\item   978,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 97,89
}\item   9 568 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,568
}\item   2,575 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,025 75
}\item   78,83 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,078 83
}\item   80,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,801
}\item   3 966 ~ \(\times\)  0,1 ~ = ~{\color{red} 396,6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   965,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,965 3
\item   435,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 43,53
\item   8,348 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,834 8
\item   5,284 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 284
\item   2,248 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,224 8
\item   84,56 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,084 56
\item   3,566 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,035 66
\item   4,848 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,048 48
\item   13,65 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,365
\item   8 512 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 851,2
\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 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   971,56 ~dm~ = {\color{red}  97,156 }~m
\item   200,78 ~km~ = {\color{red}  2 007 800 }~dm
\item   6 891,6 ~daL~ = {\color{red}  68 916 }~L
\item   8 045,4 ~hL~ = {\color{red}  80 454 000 }~cL
\item   3 686 ~daL~ = {\color{red}  368,6 }~hL
\item   2 641,7 ~m~ = {\color{red}  2 641 700 }~mm
\item   970,7 ~dg~ = {\color{red}  9,707 }~dag
\item   8 698,4 ~hg~ = {\color{red}  86 984 }~dag
\item   5 148,8 ~mL~ = {\color{red}  514,88 }~cL
\item   4 385,3 ~dg~ = {\color{red}  4,385 3 }~hg
\end{itemize}
\end{multicols}
\end{document}
