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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{21}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,084  ~ \(\times\)  ~ 10
\item   0,957  ~ \(\times\)  ~ 1 000
\item   0,782  ~ \(\times\)  ~ 10
\item   67  ~ \(\times\)  ~ 10
\item   1,61  ~ \(\times\)  ~ 100
\item   0,007  ~ \(\times\)  ~ 1 000
\item   30,1  ~ \(\times\)  ~ 10
\item   878  ~ \(\times\)  ~ 10
\item   0,008  ~ \(\times\)  ~ 1 000
\item   0,987  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,93  ~ : ~ 100
\item   539,8  ~ : ~ 100
\item   6 095  ~ : ~ 100
\item   14,2  ~ : ~ 1 000
\item   42,63  ~ : ~ 100
\item   3,071  ~ : ~ 1 000
\item   143,3  ~ : ~ 1 000
\item   456  ~ : ~ 100
\item   845,8  ~ : ~ 100
\item   4,385  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,421  ~ \(\times\)  ~ ... ~ = ~ 42,1
\item   68  ~ \(\times\)  ~ ... ~ = ~ 680
\item   5,88  ~ \(\times\)  ~ ... ~ = ~ 5 880
\item   635  ~ \(\times\)  ~ ... ~ = ~ 6 350
\item   0,071  ~ \(\times\)  ~ ... ~ = ~ 71
\item   0,248  ~ \(\times\)  ~ ... ~ = ~ 24,8
\item   0,026  ~ \(\times\)  ~ ... ~ = ~ 2,6
\item   94,9  ~ \(\times\)  ~ ... ~ = ~ 949
\item   37  ~ \(\times\)  ~ ... ~ = ~ 37 000
\item   4,56  ~ \(\times\)  ~ ... ~ = ~ 4 560
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,76  ~ \(\times\)  ~ 0,01
\item   66,63  ~ \(\times\)  ~ 0,001
\item   627,1  ~ \(\times\)  ~ 0,1
\item   2,467  ~ \(\times\)  ~ 0,001
\item   269,2  ~ \(\times\)  ~ 0,001
\item   3 833  ~ \(\times\)  ~ 0,01
\item   4,586  ~ \(\times\)  ~ 0,001
\item   89,02  ~ \(\times\)  ~ 0,01
\item   736,6  ~ \(\times\)  ~ 0,1
\item   3 762  ~ \(\times\)  ~ 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   8 730  ~ \(\times\)  ~ ... ~ = ~  873
\item   82,02  ~ \(\times\)  ~ ... ~ = ~  0,820 2
\item   683  ~ \(\times\)  ~ ... ~ = ~  68,3
\item   4,19  ~ \(\times\)  ~ ... ~ = ~  0,004 19
\item   4,184  ~ \(\times\)  ~ ... ~ = ~  0,004 184
\item   80,4  ~ \(\times\)  ~ ... ~ = ~  0,804
\item   45,68  ~ \(\times\)  ~ ... ~ = ~  0,456 8
\item   41,34  ~ \(\times\)  ~ ... ~ = ~  4,134
\item   8,281  ~ \(\times\)  ~ ... ~ = ~  0,828 1
\item   4 489  ~ \(\times\)  ~ ... ~ = ~  44,89
\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~ = ...~m
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   973,88 ~kg~ = ...~dag
\item   8 526,6 ~hm~ = ...~cm
\item   1 934,6 ~dL~ = ...~mL
\item   7 735,8 ~kL~ = ...~hL
\item   545,49 ~mL~ = ...~L
\item   9 120,7 ~mg~ = ...~cg
\item   3 475,6 ~L~ = ...~daL
\item   534,86 ~hm~ = ...~mm
\item   517,15 ~hL~ = ...~daL
\item   8 366,1 ~dag~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

\needspace{5\baselineskip}
\subsection*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{5300}{100}\) = \(\dfrac{530}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{520}{100}\)
\item   \(\dfrac{21}{100}\) = \(\dfrac{210}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,084  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,84}
\item   0,957  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 957}
\item   0,782  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,82}
\item   67  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 670}
\item   1,61  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 161}
\item   0,007  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7}
\item   30,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 301}
\item   878  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 780}
\item   0,008  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8}
\item   0,987  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,87}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,93 ~ : ~ 100 ~ = ~{\color{red} 0,049 3}
\item   539,8 ~ : ~ 100 ~ = ~{\color{red} 5,398}
\item   6 095 ~ : ~ 100 ~ = ~{\color{red} 60,95}
\item   14,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,014 2}
\item   42,63 ~ : ~ 100 ~ = ~{\color{red} 0,426 3}
\item   3,071 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 071}
\item   143,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,143 3}
\item   456 ~ : ~ 100 ~ = ~{\color{red} 4,56}
\item   845,8 ~ : ~ 100 ~ = ~{\color{red} 8,458}
\item   4,385 ~ : ~ 10 ~ = ~{\color{red} 0,438 5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,421 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~42,1
\item   68 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~680
\item   5,88 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 880
\item   635 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 350
\item   0,071 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~71
\item   0,248 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~24,8
\item   0,026 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,6
\item   94,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~949
\item   37 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~37 000
\item   4,56 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 560
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,76 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,397 6
}\item   66,63 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,066 63
}\item   627,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 62,71
}\item   2,467 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 467
}\item   269,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,269 2
}\item   3 833 ~ \(\times\)  0,01 ~ = ~{\color{red} 38,33
}\item   4,586 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 586
}\item   89,02 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,890 2
}\item   736,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 73,66
}\item   3 762 ~ \(\times\)  0,1 ~ = ~{\color{red} 376,2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 730 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 873
\item   82,02 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,820 2
\item   683 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 68,3
\item   4,19 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 19
\item   4,184 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 184
\item   80,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,804
\item   45,68 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,456 8
\item   41,34 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,134
\item   8,281 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,828 1
\item   4 489 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 44,89
\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~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   973,88 ~kg~ = {\color{red}  97 388 }~dag
\item   8 526,6 ~hm~ = {\color{red}  85 266 000 }~cm
\item   1 934,6 ~dL~ = {\color{red}  193 460 }~mL
\item   7 735,8 ~kL~ = {\color{red}  77 358 }~hL
\item   545,49 ~mL~ = {\color{red}  0,545 49 }~L
\item   9 120,7 ~mg~ = {\color{red}  912,07 }~cg
\item   3 475,6 ~L~ = {\color{red}  347,56 }~daL
\item   534,86 ~hm~ = {\color{red}  53 486 000 }~mm
\item   517,15 ~hL~ = {\color{red}  5 171,5 }~daL
\item   8 366,1 ~dag~ = {\color{red}  8 366 100 }~cg
\end{itemize}
\end{multicols}
\end{document}
