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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{35}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{16}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,6  ~ \(\times\)  ~ 10
\item   0,084  ~ \(\times\)  ~ 10
\item   419  ~ \(\times\)  ~ 100
\item   0,508  ~ \(\times\)  ~ 100
\item   0,052  ~ \(\times\)  ~ 10
\item   0,927  ~ \(\times\)  ~ 10
\item   50,5  ~ \(\times\)  ~ 10
\item   7,26  ~ \(\times\)  ~ 1 000
\item   0,426  ~ \(\times\)  ~ 100
\item   752  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 333  ~ : ~ 10
\item   6,431  ~ : ~ 10
\item   10,52  ~ : ~ 10
\item   1,51  ~ : ~ 1 000
\item   856,8  ~ : ~ 1 000
\item   2 429  ~ : ~ 1 000
\item   0,714  ~ : ~ 1 000
\item   327,7  ~ : ~ 1 000
\item   7,576  ~ : ~ 100
\item   92,32  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,7  ~ \(\times\)  ~ ... ~ = ~ 14 700
\item   0,011  ~ \(\times\)  ~ ... ~ = ~ 11
\item   3,3  ~ \(\times\)  ~ ... ~ = ~ 3 300
\item   0,872  ~ \(\times\)  ~ ... ~ = ~ 872
\item   64,7  ~ \(\times\)  ~ ... ~ = ~ 6 470
\item   1,62  ~ \(\times\)  ~ ... ~ = ~ 1 620
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 30
\item   0,008  ~ \(\times\)  ~ ... ~ = ~ 8
\item   56,7  ~ \(\times\)  ~ ... ~ = ~ 5 670
\item   258  ~ \(\times\)  ~ ... ~ = ~ 25 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   572,4  ~ \(\times\)  ~ 0,01
\item   0,652  ~ \(\times\)  ~ 0,01
\item   62,76  ~ \(\times\)  ~ 0,001
\item   693,1  ~ \(\times\)  ~ 0,001
\item   6 593  ~ \(\times\)  ~ 0,1
\item   52  ~ \(\times\)  ~ 0,1
\item   5 016  ~ \(\times\)  ~ 0,1
\item   63,34  ~ \(\times\)  ~ 0,1
\item   9,425  ~ \(\times\)  ~ 0,1
\item   2,379  ~ \(\times\)  ~ 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   7,409  ~ \(\times\)  ~ ... ~ = ~  0,074 09
\item   1 414  ~ \(\times\)  ~ ... ~ = ~  14,14
\item   1 659  ~ \(\times\)  ~ ... ~ = ~  165,9
\item   18,46  ~ \(\times\)  ~ ... ~ = ~  1,846
\item   8,373  ~ \(\times\)  ~ ... ~ = ~  0,008 373
\item   2 534  ~ \(\times\)  ~ ... ~ = ~  253,4
\item   37,8  ~ \(\times\)  ~ ... ~ = ~  0,378
\item   6 430  ~ \(\times\)  ~ ... ~ = ~  6,43
\item   50,06  ~ \(\times\)  ~ ... ~ = ~  0,500 6
\item   6 098  ~ \(\times\)  ~ ... ~ = ~  6,098
\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~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~cm
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   488,35 ~dL~ = ...~daL
\item   910,03 ~dam~ = ...~dm
\item   9 716,5 ~dL~ = ...~mL
\item   772,65 ~mg~ = ...~hg
\item   334,89 ~dm~ = ...~hm
\item   474,01 ~mm~ = ...~dm
\item   959,19 ~dL~ = ...~kL
\item   598,36 ~daL~ = ...~mL
\item   236,19 ~km~ = ...~cm
\item   869,15 ~cm~ = ...~mm
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{5900}{100}\) = \(\dfrac{590}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{35}{10}\) = \(\dfrac{350}{100}\)
\item   \(\dfrac{16}{100}\) = \(\dfrac{160}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 96}
\item   0,084  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,84}
\item   419  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 41 900}
\item   0,508  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 50,8}
\item   0,052  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,52}
\item   0,927  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,27}
\item   50,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 505}
\item   7,26  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 260}
\item   0,426  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 42,6}
\item   752  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 752 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 333 ~ : ~ 10 ~ = ~{\color{red} 433,3}
\item   6,431 ~ : ~ 10 ~ = ~{\color{red} 0,643 1}
\item   10,52 ~ : ~ 10 ~ = ~{\color{red} 1,052}
\item   1,51 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 51}
\item   856,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,856 8}
\item   2 429 ~ : ~ 1 000 ~ = ~{\color{red} 2,429}
\item   0,714 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 714}
\item   327,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,327 7}
\item   7,576 ~ : ~ 100 ~ = ~{\color{red} 0,075 76}
\item   92,32 ~ : ~ 100 ~ = ~{\color{red} 0,923 2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~14 700
\item   0,011 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~11
\item   3,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 300
\item   0,872 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~872
\item   64,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 470
\item   1,62 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 620
\item   0,03 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30
\item   0,008 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8
\item   56,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5 670
\item   258 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~25 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   572,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,724
}\item   0,652 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,006 52
}\item   62,76 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,062 76
}\item   693,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,693 1
}\item   6 593 ~ \(\times\)  0,1 ~ = ~{\color{red} 659,3
}\item   52 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,2
}\item   5 016 ~ \(\times\)  0,1 ~ = ~{\color{red} 501,6
}\item   63,34 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,334
}\item   9,425 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,942 5
}\item   2,379 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 379
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,409 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,074 09
\item   1 414 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 14,14
\item   1 659 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 165,9
\item   18,46 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,846
\item   8,373 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 373
\item   2 534 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 253,4
\item   37,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,378
\item   6 430 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,43
\item   50,06 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,500 6
\item   6 098 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,098
\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}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   488,35 ~dL~ = {\color{red}  4,883 5 }~daL
\item   910,03 ~dam~ = {\color{red}  91 003 }~dm
\item   9 716,5 ~dL~ = {\color{red}  971 650 }~mL
\item   772,65 ~mg~ = {\color{red}  0,007 726 5 }~hg
\item   334,89 ~dm~ = {\color{red}  0,334 89 }~hm
\item   474,01 ~mm~ = {\color{red}  4,740 1 }~dm
\item   959,19 ~dL~ = {\color{red}  0,095 919 }~kL
\item   598,36 ~daL~ = {\color{red}  5 983 600 }~mL
\item   236,19 ~km~ = {\color{red}  23 619 000 }~cm
\item   869,15 ~cm~ = {\color{red}  8 691,5 }~mm
\end{itemize}
\end{multicols}
\end{document}
