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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{40}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{14}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,912  ~ \(\times\)  ~ 100
\item   986  ~ \(\times\)  ~ 100
\item   9,87  ~ \(\times\)  ~ 100
\item   0,011  ~ \(\times\)  ~ 1 000
\item   85,1  ~ \(\times\)  ~ 10
\item   2,89  ~ \(\times\)  ~ 1 000
\item   1  ~ \(\times\)  ~ 1 000
\item   97  ~ \(\times\)  ~ 100
\item   0,027  ~ \(\times\)  ~ 1 000
\item   867  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,33  ~ : ~ 100
\item   63,53  ~ : ~ 10
\item   3,476  ~ : ~ 1 000
\item   303,7  ~ : ~ 1 000
\item   6,523  ~ : ~ 10
\item   4 171  ~ : ~ 1 000
\item   1,327  ~ : ~ 100
\item   6 899  ~ : ~ 1 000
\item   473,5  ~ : ~ 10
\item   67,44  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   895  ~ \(\times\)  ~ ... ~ = ~ 895 000
\item   0,767  ~ \(\times\)  ~ ... ~ = ~ 76,7
\item   0,895  ~ \(\times\)  ~ ... ~ = ~ 89,5
\item   0,143  ~ \(\times\)  ~ ... ~ = ~ 14,3
\item   15,2  ~ \(\times\)  ~ ... ~ = ~ 152
\item   3,12  ~ \(\times\)  ~ ... ~ = ~ 31,2
\item   9,46  ~ \(\times\)  ~ ... ~ = ~ 9 460
\item   0,012  ~ \(\times\)  ~ ... ~ = ~ 12
\item   0,313  ~ \(\times\)  ~ ... ~ = ~ 3,13
\item   4,26  ~ \(\times\)  ~ ... ~ = ~ 4 260
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,903  ~ \(\times\)  ~ 0,1
\item   1 275  ~ \(\times\)  ~ 0,01
\item   68,11  ~ \(\times\)  ~ 0,1
\item   3,149  ~ \(\times\)  ~ 0,01
\item   79,97  ~ \(\times\)  ~ 0,001
\item   4 665  ~ \(\times\)  ~ 0,001
\item   4 359  ~ \(\times\)  ~ 0,1
\item   4 517  ~ \(\times\)  ~ 0,001
\item   4 407  ~ \(\times\)  ~ 0,001
\item   9,071  ~ \(\times\)  ~ 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   422,7  ~ \(\times\)  ~ ... ~ = ~  4,227
\item   30,46  ~ \(\times\)  ~ ... ~ = ~  0,030 46
\item   627,5  ~ \(\times\)  ~ ... ~ = ~  62,75
\item   77,16  ~ \(\times\)  ~ ... ~ = ~  0,077 16
\item   292,5  ~ \(\times\)  ~ ... ~ = ~  2,925
\item   7,496  ~ \(\times\)  ~ ... ~ = ~  0,749 6
\item   6,765  ~ \(\times\)  ~ ... ~ = ~  0,006 765
\item   8,184  ~ \(\times\)  ~ ... ~ = ~  0,818 4
\item   2 477  ~ \(\times\)  ~ ... ~ = ~  24,77
\item   66,65  ~ \(\times\)  ~ ... ~ = ~  6,665
\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~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~hm
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194,33 ~mg~ = ...~kg
\item   5 738,9 ~kg~ = ...~g
\item   952,14 ~dag~ = ...~hg
\item   9 569,3 ~mL~ = ...~kL
\item   874,21 ~dg~ = ...~dag
\item   211,45 ~dam~ = ...~m
\item   424,82 ~dag~ = ...~g
\item   273,2 ~mg~ = ...~cg
\item   2 622,2 ~dm~ = ...~hm
\item   507,41 ~hm~ = ...~km
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{850}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{40}{10}\) = \(\dfrac{400}{100}\)
\item   \(\dfrac{14}{100}\) = \(\dfrac{140}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,912  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 91,2}
\item   986  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 98 600}
\item   9,87  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 987}
\item   0,011  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 11}
\item   85,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 851}
\item   2,89  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 890}
\item   1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 000}
\item   97  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 700}
\item   0,027  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 27}
\item   867  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 86 700}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,33 ~ : ~ 100 ~ = ~{\color{red} 0,283 3}
\item   63,53 ~ : ~ 10 ~ = ~{\color{red} 6,353}
\item   3,476 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 476}
\item   303,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,303 7}
\item   6,523 ~ : ~ 10 ~ = ~{\color{red} 0,652 3}
\item   4 171 ~ : ~ 1 000 ~ = ~{\color{red} 4,171}
\item   1,327 ~ : ~ 100 ~ = ~{\color{red} 0,013 27}
\item   6 899 ~ : ~ 1 000 ~ = ~{\color{red} 6,899}
\item   473,5 ~ : ~ 10 ~ = ~{\color{red} 47,35}
\item   67,44 ~ : ~ 100 ~ = ~{\color{red} 0,674 4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   895 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~895 000
\item   0,767 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~76,7
\item   0,895 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~89,5
\item   0,143 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~14,3
\item   15,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~152
\item   3,12 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~31,2
\item   9,46 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 460
\item   0,012 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~12
\item   0,313 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,13
\item   4,26 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 260
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,903 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,590 3
}\item   1 275 ~ \(\times\)  0,01 ~ = ~{\color{red} 12,75
}\item   68,11 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,811
}\item   3,149 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,031 49
}\item   79,97 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,079 97
}\item   4 665 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,665
}\item   4 359 ~ \(\times\)  0,1 ~ = ~{\color{red} 435,9
}\item   4 517 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,517
}\item   4 407 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,407
}\item   9,071 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,907 1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   422,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,227
\item   30,46 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,030 46
\item   627,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 62,75
\item   77,16 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,077 16
\item   292,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,925
\item   7,496 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,749 6
\item   6,765 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 765
\item   8,184 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,818 4
\item   2 477 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 24,77
\item   66,65 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,665
\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~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194,33 ~mg~ = {\color{red}  0,000 194 33 }~kg
\item   5 738,9 ~kg~ = {\color{red}  5 738 900 }~g
\item   952,14 ~dag~ = {\color{red}  95,214 }~hg
\item   9 569,3 ~mL~ = {\color{red}  0,009 569 3 }~kL
\item   874,21 ~dg~ = {\color{red}  8,742 1 }~dag
\item   211,45 ~dam~ = {\color{red}  2 114,5 }~m
\item   424,82 ~dag~ = {\color{red}  4 248,2 }~g
\item   273,2 ~mg~ = {\color{red}  27,32 }~cg
\item   2 622,2 ~dm~ = {\color{red}  2,622 2 }~hm
\item   507,41 ~hm~ = {\color{red}  50,741 }~km
\end{itemize}
\end{multicols}
\end{document}
