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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   15,7  ~ \(\times\)  ~ 100
\item   1,02  ~ \(\times\)  ~ 100
\item   0,297  ~ \(\times\)  ~ 100
\item   6,1  ~ \(\times\)  ~ 10
\item   5,11  ~ \(\times\)  ~ 10
\item   7,05  ~ \(\times\)  ~ 100
\item   36,1  ~ \(\times\)  ~ 10
\item   66  ~ \(\times\)  ~ 10
\item   59,1  ~ \(\times\)  ~ 100
\item   0,072  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,196  ~ : ~ 1 000
\item   9 603  ~ : ~ 1 000
\item   758,1  ~ : ~ 10
\item   6,66  ~ : ~ 100
\item   33,58  ~ : ~ 10
\item   3,93  ~ : ~ 10
\item   83,01  ~ : ~ 10
\item   1 296  ~ : ~ 1 000
\item   450,8  ~ : ~ 100
\item   7,529  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,8  ~ \(\times\)  ~ ... ~ = ~ 80
\item   88,7  ~ \(\times\)  ~ ... ~ = ~ 8 870
\item   68,6  ~ \(\times\)  ~ ... ~ = ~ 686
\item   10,7  ~ \(\times\)  ~ ... ~ = ~ 1 070
\item   6,92  ~ \(\times\)  ~ ... ~ = ~ 6 920
\item   0,708  ~ \(\times\)  ~ ... ~ = ~ 70,8
\item   38,4  ~ \(\times\)  ~ ... ~ = ~ 38 400
\item   62,5  ~ \(\times\)  ~ ... ~ = ~ 6 250
\item   26  ~ \(\times\)  ~ ... ~ = ~ 2 600
\item   0,058  ~ \(\times\)  ~ ... ~ = ~ 5,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   56,57  ~ \(\times\)  ~ 0,1
\item   6 324  ~ \(\times\)  ~ 0,01
\item   662,8  ~ \(\times\)  ~ 0,001
\item   1,155  ~ \(\times\)  ~ 0,01
\item   85,2  ~ \(\times\)  ~ 0,01
\item   7,605  ~ \(\times\)  ~ 0,001
\item   402,2  ~ \(\times\)  ~ 0,01
\item   691,9  ~ \(\times\)  ~ 0,001
\item   61,1  ~ \(\times\)  ~ 0,1
\item   5 896  ~ \(\times\)  ~ 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   156  ~ \(\times\)  ~ ... ~ = ~  1,56
\item   0,589  ~ \(\times\)  ~ ... ~ = ~  0,000 589
\item   1,956  ~ \(\times\)  ~ ... ~ = ~  0,195 6
\item   395,1  ~ \(\times\)  ~ ... ~ = ~  3,951
\item   196,6  ~ \(\times\)  ~ ... ~ = ~  0,196 6
\item   93,57  ~ \(\times\)  ~ ... ~ = ~  9,357
\item   487,7  ~ \(\times\)  ~ ... ~ = ~  0,487 7
\item   77,97  ~ \(\times\)  ~ ... ~ = ~  7,797
\item   1 764  ~ \(\times\)  ~ ... ~ = ~  176,4
\item   7,504  ~ \(\times\)  ~ ... ~ = ~  0,075 04
\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 ~cm~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   683,01 ~mg~ = ...~cg
\item   646,64 ~dam~ = ...~mm
\item   1 695,6 ~mL~ = ...~L
\item   1 502,6 ~L~ = ...~cL
\item   591,94 ~hL~ = ...~kL
\item   5 290,2 ~dg~ = ...~hg
\item   6 661,9 ~mm~ = ...~dm
\item   760,08 ~cL~ = ...~mL
\item   4 761,7 ~cL~ = ...~L
\item   878,06 ~cL~ = ...~daL
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{350}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{490}{100}\)
\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   15,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 570}
\item   1,02  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 102}
\item   0,297  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29,7}
\item   6,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 61}
\item   5,11  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 51,1}
\item   7,05  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 705}
\item   36,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 361}
\item   66  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 660}
\item   59,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 910}
\item   0,072  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 72}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,196 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 196}
\item   9 603 ~ : ~ 1 000 ~ = ~{\color{red} 9,603}
\item   758,1 ~ : ~ 10 ~ = ~{\color{red} 75,81}
\item   6,66 ~ : ~ 100 ~ = ~{\color{red} 0,066 6}
\item   33,58 ~ : ~ 10 ~ = ~{\color{red} 3,358}
\item   3,93 ~ : ~ 10 ~ = ~{\color{red} 0,393}
\item   83,01 ~ : ~ 10 ~ = ~{\color{red} 8,301}
\item   1 296 ~ : ~ 1 000 ~ = ~{\color{red} 1,296}
\item   450,8 ~ : ~ 100 ~ = ~{\color{red} 4,508}
\item   7,529 ~ : ~ 10 ~ = ~{\color{red} 0,752 9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~80
\item   88,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 870
\item   68,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~686
\item   10,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 070
\item   6,92 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 920
\item   0,708 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~70,8
\item   38,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~38 400
\item   62,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 250
\item   26 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 600
\item   0,058 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   56,57 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,657
}\item   6 324 ~ \(\times\)  0,01 ~ = ~{\color{red} 63,24
}\item   662,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,662 8
}\item   1,155 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,011 55
}\item   85,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,852
}\item   7,605 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 605
}\item   402,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,022
}\item   691,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,691 9
}\item   61,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,11
}\item   5 896 ~ \(\times\)  0,1 ~ = ~{\color{red} 589,6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   156 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,56
\item   0,589 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 589
\item   1,956 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,195 6
\item   395,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,951
\item   196,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,196 6
\item   93,57 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,357
\item   487,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,487 7
\item   77,97 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,797
\item   1 764 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 176,4
\item   7,504 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,075 04
\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 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   683,01 ~mg~ = {\color{red}  68,301 }~cg
\item   646,64 ~dam~ = {\color{red}  6 466 400 }~mm
\item   1 695,6 ~mL~ = {\color{red}  1,695 6 }~L
\item   1 502,6 ~L~ = {\color{red}  150 260 }~cL
\item   591,94 ~hL~ = {\color{red}  59,194 }~kL
\item   5 290,2 ~dg~ = {\color{red}  5,290 2 }~hg
\item   6 661,9 ~mm~ = {\color{red}  66,619 }~dm
\item   760,08 ~cL~ = {\color{red}  7 600,8 }~mL
\item   4 761,7 ~cL~ = {\color{red}  47,617 }~L
\item   878,06 ~cL~ = {\color{red}  0,878 06 }~daL
\end{itemize}
\end{multicols}
\end{document}
