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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{69}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{49}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 10
\item   49,2  ~ \(\times\)  ~ 10
\item   0,81  ~ \(\times\)  ~ 100
\item   84,7  ~ \(\times\)  ~ 10
\item   0,091  ~ \(\times\)  ~ 10
\item   2,41  ~ \(\times\)  ~ 1 000
\item   8,03  ~ \(\times\)  ~ 10
\item   89,1  ~ \(\times\)  ~ 100
\item   9,46  ~ \(\times\)  ~ 1 000
\item   0,974  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,34  ~ : ~ 10
\item   5 510  ~ : ~ 10
\item   1,943  ~ : ~ 1 000
\item   36,49  ~ : ~ 100
\item   788,6  ~ : ~ 10
\item   8,303  ~ : ~ 10
\item   89,24  ~ : ~ 10
\item   1 412  ~ : ~ 10
\item   4,079  ~ : ~ 100
\item   433  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,42  ~ \(\times\)  ~ ... ~ = ~ 542
\item   0,313  ~ \(\times\)  ~ ... ~ = ~ 31,3
\item   30,8  ~ \(\times\)  ~ ... ~ = ~ 30 800
\item   51  ~ \(\times\)  ~ ... ~ = ~ 51 000
\item   80,7  ~ \(\times\)  ~ ... ~ = ~ 8 070
\item   294  ~ \(\times\)  ~ ... ~ = ~ 2 940
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 9
\item   0,15  ~ \(\times\)  ~ ... ~ = ~ 15
\item   84,3  ~ \(\times\)  ~ ... ~ = ~ 8 430
\item   0,005  ~ \(\times\)  ~ ... ~ = ~ 0,05
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,38  ~ \(\times\)  ~ 0,1
\item   2 261  ~ \(\times\)  ~ 0,1
\item   4 131  ~ \(\times\)  ~ 0,1
\item   4,383  ~ \(\times\)  ~ 0,01
\item   847,9  ~ \(\times\)  ~ 0,1
\item   627,6  ~ \(\times\)  ~ 0,001
\item   9,693  ~ \(\times\)  ~ 0,1
\item   292,6  ~ \(\times\)  ~ 0,001
\item   30,53  ~ \(\times\)  ~ 0,01
\item   7 229  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,309  ~ \(\times\)  ~ ... ~ = ~  0,630 9
\item   6,682  ~ \(\times\)  ~ ... ~ = ~  0,668 2
\item   157,2  ~ \(\times\)  ~ ... ~ = ~  15,72
\item   89,37  ~ \(\times\)  ~ ... ~ = ~  0,893 7
\item   61,25  ~ \(\times\)  ~ ... ~ = ~  6,125
\item   114,6  ~ \(\times\)  ~ ... ~ = ~  11,46
\item   356,6  ~ \(\times\)  ~ ... ~ = ~  35,66
\item   7 180  ~ \(\times\)  ~ ... ~ = ~  7,18
\item   18,02  ~ \(\times\)  ~ ... ~ = ~  1,802
\item   862,8  ~ \(\times\)  ~ ... ~ = ~  0,862 8
\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 ~km~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~hm~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 996,4 ~hL~ = ...~cL
\item   2 137,6 ~g~ = ...~cg
\item   653,99 ~mg~ = ...~hg
\item   810,29 ~hg~ = ...~kg
\item   1 119,2 ~kL~ = ...~L
\item   1 834,3 ~kL~ = ...~dL
\item   477,56 ~kg~ = ...~dag
\item   3 543,2 ~km~ = ...~dm
\item   959,66 ~m~ = ...~mm
\item   151,62 ~hg~ = ...~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   1 = \(\dfrac{10}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{5800}{100}\) = \(\dfrac{580}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{69}{10}\) = \(\dfrac{690}{100}\)
\item   \(\dfrac{49}{100}\) = \(\dfrac{490}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,86}
\item   49,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 492}
\item   0,81  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 81}
\item   84,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 847}
\item   0,091  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,91}
\item   2,41  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 410}
\item   8,03  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 80,3}
\item   89,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 910}
\item   9,46  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 460}
\item   0,974  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,74}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,34 ~ : ~ 10 ~ = ~{\color{red} 6,034}
\item   5 510 ~ : ~ 10 ~ = ~{\color{red} 551}
\item   1,943 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 943}
\item   36,49 ~ : ~ 100 ~ = ~{\color{red} 0,364 9}
\item   788,6 ~ : ~ 10 ~ = ~{\color{red} 78,86}
\item   8,303 ~ : ~ 10 ~ = ~{\color{red} 0,830 3}
\item   89,24 ~ : ~ 10 ~ = ~{\color{red} 8,924}
\item   1 412 ~ : ~ 10 ~ = ~{\color{red} 141,2}
\item   4,079 ~ : ~ 100 ~ = ~{\color{red} 0,040 79}
\item   433 ~ : ~ 100 ~ = ~{\color{red} 4,33}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,42 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~542
\item   0,313 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~31,3
\item   30,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30 800
\item   51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~51 000
\item   80,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 070
\item   294 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 940
\item   0,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9
\item   0,15 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~15
\item   84,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 430
\item   0,005 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,05
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,38 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,138
}\item   2 261 ~ \(\times\)  0,1 ~ = ~{\color{red} 226,1
}\item   4 131 ~ \(\times\)  0,1 ~ = ~{\color{red} 413,1
}\item   4,383 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,043 83
}\item   847,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 84,79
}\item   627,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,627 6
}\item   9,693 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,969 3
}\item   292,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,292 6
}\item   30,53 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,305 3
}\item   7 229 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,229
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,309 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,630 9
\item   6,682 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,668 2
\item   157,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 15,72
\item   89,37 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,893 7
\item   61,25 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,125
\item   114,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 11,46
\item   356,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 35,66
\item   7 180 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,18
\item   18,02 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,802
\item   862,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,862 8
\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 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 996,4 ~hL~ = {\color{red}  89 964 000 }~cL
\item   2 137,6 ~g~ = {\color{red}  213 760 }~cg
\item   653,99 ~mg~ = {\color{red}  0,006 539 9 }~hg
\item   810,29 ~hg~ = {\color{red}  81,029 }~kg
\item   1 119,2 ~kL~ = {\color{red}  1 119 200 }~L
\item   1 834,3 ~kL~ = {\color{red}  18 343 000 }~dL
\item   477,56 ~kg~ = {\color{red}  47 756 }~dag
\item   3 543,2 ~km~ = {\color{red}  35 432 000 }~dm
\item   959,66 ~m~ = {\color{red}  959 660 }~mm
\item   151,62 ~hg~ = {\color{red}  151 620 }~dg
\end{itemize}
\end{multicols}
\end{document}
