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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{36}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{97}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   416  ~ \(\times\)  ~ 100
\item   0,462  ~ \(\times\)  ~ 10
\item   0,093  ~ \(\times\)  ~ 100
\item   21,5  ~ \(\times\)  ~ 100
\item   0,065  ~ \(\times\)  ~ 1 000
\item   54,4  ~ \(\times\)  ~ 100
\item   0,343  ~ \(\times\)  ~ 10
\item   0,444  ~ \(\times\)  ~ 1 000
\item   741  ~ \(\times\)  ~ 1 000
\item   2,63  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,827  ~ : ~ 100
\item   85,2  ~ : ~ 1 000
\item   1 737  ~ : ~ 100
\item   4 372  ~ : ~ 10
\item   359  ~ : ~ 10
\item   596,4  ~ : ~ 10
\item   3,345  ~ : ~ 10
\item   51,49  ~ : ~ 10
\item   49,95  ~ : ~ 100
\item   763,7  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   796  ~ \(\times\)  ~ ... ~ = ~ 796 000
\item   0,208  ~ \(\times\)  ~ ... ~ = ~ 20,8
\item   0,054  ~ \(\times\)  ~ ... ~ = ~ 5,4
\item   0,366  ~ \(\times\)  ~ ... ~ = ~ 3,66
\item   0,026  ~ \(\times\)  ~ ... ~ = ~ 2,6
\item   9,16  ~ \(\times\)  ~ ... ~ = ~ 91,6
\item   0,021  ~ \(\times\)  ~ ... ~ = ~ 2,1
\item   24  ~ \(\times\)  ~ ... ~ = ~ 24 000
\item   0,525  ~ \(\times\)  ~ ... ~ = ~ 525
\item   335  ~ \(\times\)  ~ ... ~ = ~ 33 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,67  ~ \(\times\)  ~ 0,001
\item   82,83  ~ \(\times\)  ~ 0,001
\item   221,2  ~ \(\times\)  ~ 0,001
\item   9,227  ~ \(\times\)  ~ 0,1
\item   7 305  ~ \(\times\)  ~ 0,1
\item   29,17  ~ \(\times\)  ~ 0,001
\item   7,38  ~ \(\times\)  ~ 0,001
\item   2 329  ~ \(\times\)  ~ 0,01
\item   175,9  ~ \(\times\)  ~ 0,001
\item   2 670  ~ \(\times\)  ~ 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   1,534  ~ \(\times\)  ~ ... ~ = ~  0,015 34
\item   2,04  ~ \(\times\)  ~ ... ~ = ~  0,204
\item   8 660  ~ \(\times\)  ~ ... ~ = ~  866
\item   6,854  ~ \(\times\)  ~ ... ~ = ~  0,685 4
\item   89,52  ~ \(\times\)  ~ ... ~ = ~  0,895 2
\item   828,6  ~ \(\times\)  ~ ... ~ = ~  0,828 6
\item   3,938  ~ \(\times\)  ~ ... ~ = ~  0,003 938
\item   2 931  ~ \(\times\)  ~ ... ~ = ~  293,1
\item   7,537  ~ \(\times\)  ~ ... ~ = ~  0,007 537
\item   3 937  ~ \(\times\)  ~ ... ~ = ~  3,937
\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~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~dm
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 588,9 ~hg~ = ...~g
\item   2 134,6 ~km~ = ...~dam
\item   483,53 ~dg~ = ...~hg
\item   191,17 ~dm~ = ...~mm
\item   3 269,9 ~mm~ = ...~dam
\item   977,83 ~kg~ = ...~hg
\item   151,06 ~dm~ = ...~dam
\item   295,57 ~g~ = ...~kg
\item   178,98 ~cL~ = ...~L
\item   139,5 ~cg~ = ...~dag
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{630}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{36}{10}\) = \(\dfrac{360}{100}\)
\item   \(\dfrac{97}{100}\) = \(\dfrac{970}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   416  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 41 600}
\item   0,462  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,62}
\item   0,093  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,3}
\item   21,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 150}
\item   0,065  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 65}
\item   54,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 440}
\item   0,343  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,43}
\item   0,444  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 444}
\item   741  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 741 000}
\item   2,63  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 263}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,827 ~ : ~ 100 ~ = ~{\color{red} 0,078 27}
\item   85,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,085 2}
\item   1 737 ~ : ~ 100 ~ = ~{\color{red} 17,37}
\item   4 372 ~ : ~ 10 ~ = ~{\color{red} 437,2}
\item   359 ~ : ~ 10 ~ = ~{\color{red} 35,9}
\item   596,4 ~ : ~ 10 ~ = ~{\color{red} 59,64}
\item   3,345 ~ : ~ 10 ~ = ~{\color{red} 0,334 5}
\item   51,49 ~ : ~ 10 ~ = ~{\color{red} 5,149}
\item   49,95 ~ : ~ 100 ~ = ~{\color{red} 0,499 5}
\item   763,7 ~ : ~ 100 ~ = ~{\color{red} 7,637}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   796 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~796 000
\item   0,208 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~20,8
\item   0,054 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,4
\item   0,366 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,66
\item   0,026 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,6
\item   9,16 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~91,6
\item   0,021 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,1
\item   24 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~24 000
\item   0,525 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~525
\item   335 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~33 500
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,67 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,028 67
}\item   82,83 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,082 83
}\item   221,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,221 2
}\item   9,227 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,922 7
}\item   7 305 ~ \(\times\)  0,1 ~ = ~{\color{red} 730,5
}\item   29,17 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,029 17
}\item   7,38 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 38
}\item   2 329 ~ \(\times\)  0,01 ~ = ~{\color{red} 23,29
}\item   175,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,175 9
}\item   2 670 ~ \(\times\)  0,1 ~ = ~{\color{red} 267
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,534 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,015 34
\item   2,04 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,204
\item   8 660 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 866
\item   6,854 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,685 4
\item   89,52 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,895 2
\item   828,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,828 6
\item   3,938 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 938
\item   2 931 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 293,1
\item   7,537 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 537
\item   3 937 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,937
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 588,9 ~hg~ = {\color{red}  558 890 }~g
\item   2 134,6 ~km~ = {\color{red}  213 460 }~dam
\item   483,53 ~dg~ = {\color{red}  0,483 53 }~hg
\item   191,17 ~dm~ = {\color{red}  19 117 }~mm
\item   3 269,9 ~mm~ = {\color{red}  0,326 99 }~dam
\item   977,83 ~kg~ = {\color{red}  9 778,3 }~hg
\item   151,06 ~dm~ = {\color{red}  1,510 6 }~dam
\item   295,57 ~g~ = {\color{red}  0,295 57 }~kg
\item   178,98 ~cL~ = {\color{red}  1,789 8 }~L
\item   139,5 ~cg~ = {\color{red}  0,139 5 }~dag
\end{itemize}
\end{multicols}
\end{document}
