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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{47}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{52}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,779  ~ \(\times\)  ~ 1 000
\item   7,8  ~ \(\times\)  ~ 100
\item   0,05  ~ \(\times\)  ~ 1 000
\item   49,4  ~ \(\times\)  ~ 1 000
\item   497  ~ \(\times\)  ~ 1 000
\item   24,4  ~ \(\times\)  ~ 1 000
\item   95,4  ~ \(\times\)  ~ 10
\item   315  ~ \(\times\)  ~ 10
\item   5,8  ~ \(\times\)  ~ 10
\item   0,679  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   599  ~ : ~ 1 000
\item   67,75  ~ : ~ 100
\item   16,49  ~ : ~ 1 000
\item   5,791  ~ : ~ 10
\item   0,591  ~ : ~ 100
\item   0,768  ~ : ~ 100
\item   32  ~ : ~ 100
\item   238,8  ~ : ~ 1 000
\item   3,04  ~ : ~ 1 000
\item   97,94  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,22  ~ \(\times\)  ~ ... ~ = ~ 722
\item   95,6  ~ \(\times\)  ~ ... ~ = ~ 9 560
\item   610  ~ \(\times\)  ~ ... ~ = ~ 6 100
\item   0,51  ~ \(\times\)  ~ ... ~ = ~ 510
\item   0,031  ~ \(\times\)  ~ ... ~ = ~ 31
\item   870  ~ \(\times\)  ~ ... ~ = ~ 8 700
\item   0,039  ~ \(\times\)  ~ ... ~ = ~ 39
\item   192  ~ \(\times\)  ~ ... ~ = ~ 1 920
\item   0,005  ~ \(\times\)  ~ ... ~ = ~ 5
\item   0,38  ~ \(\times\)  ~ ... ~ = ~ 38
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   141  ~ \(\times\)  ~ 0,1
\item   8,184  ~ \(\times\)  ~ 0,001
\item   85,44  ~ \(\times\)  ~ 0,01
\item   683,8  ~ \(\times\)  ~ 0,1
\item   2,751  ~ \(\times\)  ~ 0,1
\item   195  ~ \(\times\)  ~ 0,01
\item   1,36  ~ \(\times\)  ~ 0,01
\item   435  ~ \(\times\)  ~ 0,001
\item   568,1  ~ \(\times\)  ~ 0,01
\item   8 412  ~ \(\times\)  ~ 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   261,9  ~ \(\times\)  ~ ... ~ = ~  2,619
\item   758,5  ~ \(\times\)  ~ ... ~ = ~  7,585
\item   239,2  ~ \(\times\)  ~ ... ~ = ~  23,92
\item   2 972  ~ \(\times\)  ~ ... ~ = ~  2,972
\item   8 832  ~ \(\times\)  ~ ... ~ = ~  8,832
\item   2,459  ~ \(\times\)  ~ ... ~ = ~  0,245 9
\item   49,98  ~ \(\times\)  ~ ... ~ = ~  0,049 98
\item   85,09  ~ \(\times\)  ~ ... ~ = ~  8,509
\item   818  ~ \(\times\)  ~ ... ~ = ~  0,818
\item   162,2  ~ \(\times\)  ~ ... ~ = ~  1,622
\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 ~hm~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 458,1 ~kg~ = ...~cg
\item   953,56 ~dg~ = ...~kg
\item   3 061,6 ~km~ = ...~dm
\item   887,36 ~hm~ = ...~dm
\item   5 548,2 ~dag~ = ...~g
\item   3 909,9 ~cm~ = ...~km
\item   702,63 ~daL~ = ...~kL
\item   280,56 ~hL~ = ...~cL
\item   8 609,2 ~g~ = ...~kg
\item   824,61 ~hg~ = ...~g
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{6400}{100}\) = \(\dfrac{640}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{47}{10}\) = \(\dfrac{470}{100}\)
\item   \(\dfrac{52}{100}\) = \(\dfrac{520}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,779  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 779}
\item   7,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 780}
\item   0,05  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 50}
\item   49,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 49 400}
\item   497  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 497 000}
\item   24,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 24 400}
\item   95,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 954}
\item   315  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 150}
\item   5,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 58}
\item   0,679  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 679}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   599 ~ : ~ 1 000 ~ = ~{\color{red} 0,599}
\item   67,75 ~ : ~ 100 ~ = ~{\color{red} 0,677 5}
\item   16,49 ~ : ~ 1 000 ~ = ~{\color{red} 0,016 49}
\item   5,791 ~ : ~ 10 ~ = ~{\color{red} 0,579 1}
\item   0,591 ~ : ~ 100 ~ = ~{\color{red} 0,005 91}
\item   0,768 ~ : ~ 100 ~ = ~{\color{red} 0,007 68}
\item   32 ~ : ~ 100 ~ = ~{\color{red} 0,32}
\item   238,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,238 8}
\item   3,04 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 04}
\item   97,94 ~ : ~ 10 ~ = ~{\color{red} 9,794}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,22 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~722
\item   95,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 560
\item   610 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 100
\item   0,51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~510
\item   0,031 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~31
\item   870 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8 700
\item   0,039 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~39
\item   192 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 920
\item   0,005 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5
\item   0,38 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~38
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   141 ~ \(\times\)  0,1 ~ = ~{\color{red} 14,1
}\item   8,184 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 184
}\item   85,44 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,854 4
}\item   683,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 68,38
}\item   2,751 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,275 1
}\item   195 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,95
}\item   1,36 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,013 6
}\item   435 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,435
}\item   568,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,681
}\item   8 412 ~ \(\times\)  0,01 ~ = ~{\color{red} 84,12
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   261,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,619
\item   758,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,585
\item   239,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 23,92
\item   2 972 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,972
\item   8 832 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,832
\item   2,459 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,245 9
\item   49,98 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,049 98
\item   85,09 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,509
\item   818 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,818
\item   162,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,622
\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 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 458,1 ~kg~ = {\color{red}  645 810 000 }~cg
\item   953,56 ~dg~ = {\color{red}  0,095 356 }~kg
\item   3 061,6 ~km~ = {\color{red}  30 616 000 }~dm
\item   887,36 ~hm~ = {\color{red}  887 360 }~dm
\item   5 548,2 ~dag~ = {\color{red}  55 482 }~g
\item   3 909,9 ~cm~ = {\color{red}  0,039 099 }~km
\item   702,63 ~daL~ = {\color{red}  7,026 3 }~kL
\item   280,56 ~hL~ = {\color{red}  2 805 600 }~cL
\item   8 609,2 ~g~ = {\color{red}  8,609 2 }~kg
\item   824,61 ~hg~ = {\color{red}  82 461 }~g
\end{itemize}
\end{multicols}
\end{document}
