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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{97}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,164  ~ \(\times\)  ~ 10
\item   0,69  ~ \(\times\)  ~ 100
\item   14  ~ \(\times\)  ~ 10
\item   0,034  ~ \(\times\)  ~ 100
\item   0,216  ~ \(\times\)  ~ 100
\item   84,9  ~ \(\times\)  ~ 1 000
\item   162  ~ \(\times\)  ~ 100
\item   0,005  ~ \(\times\)  ~ 10
\item   714  ~ \(\times\)  ~ 100
\item   8,87  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,182  ~ : ~ 100
\item   10,49  ~ : ~ 1 000
\item   76,38  ~ : ~ 1 000
\item   60,26  ~ : ~ 1 000
\item   6,083  ~ : ~ 100
\item   351,1  ~ : ~ 10
\item   84,87  ~ : ~ 1 000
\item   83,57  ~ : ~ 100
\item   8,766  ~ : ~ 10
\item   338  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,09  ~ \(\times\)  ~ ... ~ = ~ 6 090
\item   0,068  ~ \(\times\)  ~ ... ~ = ~ 6,8
\item   1,18  ~ \(\times\)  ~ ... ~ = ~ 1 180
\item   566  ~ \(\times\)  ~ ... ~ = ~ 56 600
\item   0,683  ~ \(\times\)  ~ ... ~ = ~ 683
\item   0,071  ~ \(\times\)  ~ ... ~ = ~ 7,1
\item   832  ~ \(\times\)  ~ ... ~ = ~ 83 200
\item   1,98  ~ \(\times\)  ~ ... ~ = ~ 19,8
\item   42,3  ~ \(\times\)  ~ ... ~ = ~ 42 300
\item   0,314  ~ \(\times\)  ~ ... ~ = ~ 31,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65,25  ~ \(\times\)  ~ 0,1
\item   173,4  ~ \(\times\)  ~ 0,001
\item   1,469  ~ \(\times\)  ~ 0,1
\item   57,98  ~ \(\times\)  ~ 0,1
\item   9,413  ~ \(\times\)  ~ 0,01
\item   844,2  ~ \(\times\)  ~ 0,01
\item   2,57  ~ \(\times\)  ~ 0,01
\item   5 197  ~ \(\times\)  ~ 0,1
\item   37,11  ~ \(\times\)  ~ 0,001
\item   913,4  ~ \(\times\)  ~ 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   202,2  ~ \(\times\)  ~ ... ~ = ~  0,202 2
\item   29,36  ~ \(\times\)  ~ ... ~ = ~  0,029 36
\item   302,6  ~ \(\times\)  ~ ... ~ = ~  30,26
\item   6 646  ~ \(\times\)  ~ ... ~ = ~  664,6
\item   177  ~ \(\times\)  ~ ... ~ = ~  1,77
\item   33,1  ~ \(\times\)  ~ ... ~ = ~  0,331
\item   1 888  ~ \(\times\)  ~ ... ~ = ~  1,888
\item   18,42  ~ \(\times\)  ~ ... ~ = ~  0,018 42
\item   262,9  ~ \(\times\)  ~ ... ~ = ~  2,629
\item   964,2  ~ \(\times\)  ~ ... ~ = ~  96,42
\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 ~cm~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 152,5 ~mm~ = ...~m
\item   486,38 ~cL~ = ...~mL
\item   8 406,2 ~km~ = ...~hm
\item   700,03 ~km~ = ...~dm
\item   6 000,4 ~cg~ = ...~mg
\item   331,89 ~dag~ = ...~kg
\item   5 247,7 ~dm~ = ...~km
\item   1 331,7 ~hg~ = ...~cg
\item   5 084,1 ~dL~ = ...~hL
\item   3 892,7 ~kg~ = ...~dg
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{3100}{100}\) = \(\dfrac{310}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{97}{10}\) = \(\dfrac{970}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{550}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,164  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,64}
\item   0,69  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 69}
\item   14  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 140}
\item   0,034  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,4}
\item   0,216  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 21,6}
\item   84,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 84 900}
\item   162  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 16 200}
\item   0,005  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,05}
\item   714  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 71 400}
\item   8,87  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 887}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,182 ~ : ~ 100 ~ = ~{\color{red} 0,021 82}
\item   10,49 ~ : ~ 1 000 ~ = ~{\color{red} 0,010 49}
\item   76,38 ~ : ~ 1 000 ~ = ~{\color{red} 0,076 38}
\item   60,26 ~ : ~ 1 000 ~ = ~{\color{red} 0,060 26}
\item   6,083 ~ : ~ 100 ~ = ~{\color{red} 0,060 83}
\item   351,1 ~ : ~ 10 ~ = ~{\color{red} 35,11}
\item   84,87 ~ : ~ 1 000 ~ = ~{\color{red} 0,084 87}
\item   83,57 ~ : ~ 100 ~ = ~{\color{red} 0,835 7}
\item   8,766 ~ : ~ 10 ~ = ~{\color{red} 0,876 6}
\item   338 ~ : ~ 10 ~ = ~{\color{red} 33,8}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,09 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 090
\item   0,068 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,8
\item   1,18 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 180
\item   566 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~56 600
\item   0,683 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~683
\item   0,071 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,1
\item   832 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~83 200
\item   1,98 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~19,8
\item   42,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42 300
\item   0,314 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~31,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65,25 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,525
}\item   173,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,173 4
}\item   1,469 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,146 9
}\item   57,98 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,798
}\item   9,413 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,094 13
}\item   844,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,442
}\item   2,57 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,025 7
}\item   5 197 ~ \(\times\)  0,1 ~ = ~{\color{red} 519,7
}\item   37,11 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,037 11
}\item   913,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 91,34
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   202,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,202 2
\item   29,36 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,029 36
\item   302,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 30,26
\item   6 646 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 664,6
\item   177 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,77
\item   33,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,331
\item   1 888 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,888
\item   18,42 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,018 42
\item   262,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,629
\item   964,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 96,42
\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 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 152,5 ~mm~ = {\color{red}  3,152 5 }~m
\item   486,38 ~cL~ = {\color{red}  4 863,8 }~mL
\item   8 406,2 ~km~ = {\color{red}  84 062 }~hm
\item   700,03 ~km~ = {\color{red}  7 000 300 }~dm
\item   6 000,4 ~cg~ = {\color{red}  60 004 }~mg
\item   331,89 ~dag~ = {\color{red}  3,318 9 }~kg
\item   5 247,7 ~dm~ = {\color{red}  0,524 77 }~km
\item   1 331,7 ~hg~ = {\color{red}  13 317 000 }~cg
\item   5 084,1 ~dL~ = {\color{red}  5,084 1 }~hL
\item   3 892,7 ~kg~ = {\color{red}  38 927 000 }~dg
\end{itemize}
\end{multicols}
\end{document}
