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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{81}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,068  ~ \(\times\)  ~ 100
\item   0,059  ~ \(\times\)  ~ 1 000
\item   66,7  ~ \(\times\)  ~ 100
\item   0,733  ~ \(\times\)  ~ 1 000
\item   0,091  ~ \(\times\)  ~ 1 000
\item   95,9  ~ \(\times\)  ~ 100
\item   0,018  ~ \(\times\)  ~ 1 000
\item   2,28  ~ \(\times\)  ~ 1 000
\item   0,26  ~ \(\times\)  ~ 10
\item   62,9  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 831  ~ : ~ 1 000
\item   63,8  ~ : ~ 10
\item   124,2  ~ : ~ 100
\item   7,854  ~ : ~ 10
\item   495,8  ~ : ~ 10
\item   482,4  ~ : ~ 100
\item   3,696  ~ : ~ 1 000
\item   5 032  ~ : ~ 100
\item   8,88  ~ : ~ 100
\item   793,8  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,5  ~ \(\times\)  ~ ... ~ = ~ 2 850
\item   0,767  ~ \(\times\)  ~ ... ~ = ~ 76,7
\item   0,071  ~ \(\times\)  ~ ... ~ = ~ 0,71
\item   51,7  ~ \(\times\)  ~ ... ~ = ~ 51 700
\item   0,096  ~ \(\times\)  ~ ... ~ = ~ 96
\item   55,8  ~ \(\times\)  ~ ... ~ = ~ 5 580
\item   0,078  ~ \(\times\)  ~ ... ~ = ~ 0,78
\item   9,76  ~ \(\times\)  ~ ... ~ = ~ 976
\item   5,91  ~ \(\times\)  ~ ... ~ = ~ 5 910
\item   5,32  ~ \(\times\)  ~ ... ~ = ~ 53,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   94,11  ~ \(\times\)  ~ 0,001
\item   4 336  ~ \(\times\)  ~ 0,01
\item   776  ~ \(\times\)  ~ 0,001
\item   855,6  ~ \(\times\)  ~ 0,01
\item   9,577  ~ \(\times\)  ~ 0,01
\item   36,38  ~ \(\times\)  ~ 0,01
\item   552  ~ \(\times\)  ~ 0,1
\item   341  ~ \(\times\)  ~ 0,1
\item   9,069  ~ \(\times\)  ~ 0,1
\item   74,6  ~ \(\times\)  ~ 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   62,83  ~ \(\times\)  ~ ... ~ = ~  0,628 3
\item   94,44  ~ \(\times\)  ~ ... ~ = ~  0,094 44
\item   5 576  ~ \(\times\)  ~ ... ~ = ~  5,576
\item   8 793  ~ \(\times\)  ~ ... ~ = ~  879,3
\item   6,19  ~ \(\times\)  ~ ... ~ = ~  0,061 9
\item   5 141  ~ \(\times\)  ~ ... ~ = ~  51,41
\item   775,8  ~ \(\times\)  ~ ... ~ = ~  7,758
\item   757,5  ~ \(\times\)  ~ ... ~ = ~  75,75
\item   7,307  ~ \(\times\)  ~ ... ~ = ~  0,007 307
\item   619,9  ~ \(\times\)  ~ ... ~ = ~  61,99
\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 ~dam~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~km
\item   1 ~m~ = ...~km
\item   1 ~cm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   289,26 ~cm~ = ...~m
\item   6 423,3 ~g~ = ...~kg
\item   6 005,4 ~L~ = ...~daL
\item   8 293,5 ~cm~ = ...~dam
\item   730,63 ~km~ = ...~cm
\item   851,4 ~cm~ = ...~km
\item   546,91 ~L~ = ...~dL
\item   3 406,2 ~cm~ = ...~dm
\item   762,57 ~kL~ = ...~mL
\item   9 903 ~kg~ = ...~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   6 = \(\dfrac{60}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{1300}{100}\) = \(\dfrac{130}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{910}{100}\)
\item   \(\dfrac{81}{100}\) = \(\dfrac{810}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,068  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,8}
\item   0,059  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 59}
\item   66,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 670}
\item   0,733  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 733}
\item   0,091  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 91}
\item   95,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 590}
\item   0,018  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 18}
\item   2,28  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 280}
\item   0,26  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2,6}
\item   62,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 629}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 831 ~ : ~ 1 000 ~ = ~{\color{red} 7,831}
\item   63,8 ~ : ~ 10 ~ = ~{\color{red} 6,38}
\item   124,2 ~ : ~ 100 ~ = ~{\color{red} 1,242}
\item   7,854 ~ : ~ 10 ~ = ~{\color{red} 0,785 4}
\item   495,8 ~ : ~ 10 ~ = ~{\color{red} 49,58}
\item   482,4 ~ : ~ 100 ~ = ~{\color{red} 4,824}
\item   3,696 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 696}
\item   5 032 ~ : ~ 100 ~ = ~{\color{red} 50,32}
\item   8,88 ~ : ~ 100 ~ = ~{\color{red} 0,088 8}
\item   793,8 ~ : ~ 100 ~ = ~{\color{red} 7,938}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 850
\item   0,767 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~76,7
\item   0,071 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,71
\item   51,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~51 700
\item   0,096 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~96
\item   55,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 580
\item   0,078 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,78
\item   9,76 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~976
\item   5,91 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 910
\item   5,32 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~53,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   94,11 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,094 11
}\item   4 336 ~ \(\times\)  0,01 ~ = ~{\color{red} 43,36
}\item   776 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,776
}\item   855,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,556
}\item   9,577 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,095 77
}\item   36,38 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,363 8
}\item   552 ~ \(\times\)  0,1 ~ = ~{\color{red} 55,2
}\item   341 ~ \(\times\)  0,1 ~ = ~{\color{red} 34,1
}\item   9,069 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,906 9
}\item   74,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,074 6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   62,83 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,628 3
\item   94,44 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,094 44
\item   5 576 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,576
\item   8 793 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 879,3
\item   6,19 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,061 9
\item   5 141 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 51,41
\item   775,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,758
\item   757,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 75,75
\item   7,307 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 307
\item   619,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 61,99
\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 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   289,26 ~cm~ = {\color{red}  2,892 6 }~m
\item   6 423,3 ~g~ = {\color{red}  6,423 3 }~kg
\item   6 005,4 ~L~ = {\color{red}  600,54 }~daL
\item   8 293,5 ~cm~ = {\color{red}  8,293 5 }~dam
\item   730,63 ~km~ = {\color{red}  73 063 000 }~cm
\item   851,4 ~cm~ = {\color{red}  0,008 514 }~km
\item   546,91 ~L~ = {\color{red}  5 469,1 }~dL
\item   3 406,2 ~cm~ = {\color{red}  340,62 }~dm
\item   762,57 ~kL~ = {\color{red}  762 570 000 }~mL
\item   9 903 ~kg~ = {\color{red}  9 903 000 }~g
\end{itemize}
\end{multicols}
\end{document}
