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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{53}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,064  ~ \(\times\)  ~ 100
\item   0,084  ~ \(\times\)  ~ 10
\item   13,2  ~ \(\times\)  ~ 10
\item   0,976  ~ \(\times\)  ~ 10
\item   0,057  ~ \(\times\)  ~ 10
\item   0,054  ~ \(\times\)  ~ 10
\item   0,006  ~ \(\times\)  ~ 10
\item   0,461  ~ \(\times\)  ~ 1 000
\item   72,2  ~ \(\times\)  ~ 10
\item   0,595  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,619  ~ : ~ 1 000
\item   2,923  ~ : ~ 1 000
\item   75,28  ~ : ~ 100
\item   236  ~ : ~ 100
\item   0,541  ~ : ~ 100
\item   90,55  ~ : ~ 1 000
\item   908,3  ~ : ~ 10
\item   496,4  ~ : ~ 100
\item   6,463  ~ : ~ 10
\item   5,883  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194  ~ \(\times\)  ~ ... ~ = ~ 19 400
\item   0,056  ~ \(\times\)  ~ ... ~ = ~ 56
\item   854  ~ \(\times\)  ~ ... ~ = ~ 85 400
\item   2,5  ~ \(\times\)  ~ ... ~ = ~ 2 500
\item   1,1  ~ \(\times\)  ~ ... ~ = ~ 11
\item   6,78  ~ \(\times\)  ~ ... ~ = ~ 67,8
\item   0,088  ~ \(\times\)  ~ ... ~ = ~ 8,8
\item   79,9  ~ \(\times\)  ~ ... ~ = ~ 799
\item   0,66  ~ \(\times\)  ~ ... ~ = ~ 66
\item   90,3  ~ \(\times\)  ~ ... ~ = ~ 903
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,69  ~ \(\times\)  ~ 0,001
\item   1 608  ~ \(\times\)  ~ 0,01
\item   387,3  ~ \(\times\)  ~ 0,001
\item   3,353  ~ \(\times\)  ~ 0,01
\item   296,4  ~ \(\times\)  ~ 0,01
\item   2 184  ~ \(\times\)  ~ 0,1
\item   7,795  ~ \(\times\)  ~ 0,1
\item   3,324  ~ \(\times\)  ~ 0,1
\item   50,36  ~ \(\times\)  ~ 0,001
\item   60,66  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,54  ~ \(\times\)  ~ ... ~ = ~  0,075 4
\item   1,3  ~ \(\times\)  ~ ... ~ = ~  0,001 3
\item   8,99  ~ \(\times\)  ~ ... ~ = ~  0,089 9
\item   3,166  ~ \(\times\)  ~ ... ~ = ~  0,003 166
\item   175,1  ~ \(\times\)  ~ ... ~ = ~  0,175 1
\item   718  ~ \(\times\)  ~ ... ~ = ~  7,18
\item   499  ~ \(\times\)  ~ ... ~ = ~  4,99
\item   41,89  ~ \(\times\)  ~ ... ~ = ~  0,418 9
\item   668,2  ~ \(\times\)  ~ ... ~ = ~  0,668 2
\item   3 494  ~ \(\times\)  ~ ... ~ = ~  349,4
\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 ~dm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 059,9 ~km~ = ...~mm
\item   488,31 ~cg~ = ...~mg
\item   9 950,7 ~dag~ = ...~cg
\item   280,33 ~dg~ = ...~mg
\item   265,8 ~dm~ = ...~km
\item   185,29 ~hm~ = ...~dam
\item   6 305,9 ~cg~ = ...~hg
\item   1 958,1 ~kg~ = ...~dag
\item   3 379,6 ~L~ = ...~mL
\item   8 033 ~g~ = ...~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   2 = \(\dfrac{20}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{620}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{130}{100}\)
\item   \(\dfrac{53}{100}\) = \(\dfrac{530}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,064  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,4}
\item   0,084  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,84}
\item   13,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 132}
\item   0,976  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9,76}
\item   0,057  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,57}
\item   0,054  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,54}
\item   0,006  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,06}
\item   0,461  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 461}
\item   72,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 722}
\item   0,595  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 595}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,619 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 619}
\item   2,923 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 923}
\item   75,28 ~ : ~ 100 ~ = ~{\color{red} 0,752 8}
\item   236 ~ : ~ 100 ~ = ~{\color{red} 2,36}
\item   0,541 ~ : ~ 100 ~ = ~{\color{red} 0,005 41}
\item   90,55 ~ : ~ 1 000 ~ = ~{\color{red} 0,090 55}
\item   908,3 ~ : ~ 10 ~ = ~{\color{red} 90,83}
\item   496,4 ~ : ~ 100 ~ = ~{\color{red} 4,964}
\item   6,463 ~ : ~ 10 ~ = ~{\color{red} 0,646 3}
\item   5,883 ~ : ~ 10 ~ = ~{\color{red} 0,588 3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~19 400
\item   0,056 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~56
\item   854 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~85 400
\item   2,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 500
\item   1,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~11
\item   6,78 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~67,8
\item   0,088 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,8
\item   79,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~799
\item   0,66 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~66
\item   90,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~903
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,69 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,081 69
}\item   1 608 ~ \(\times\)  0,01 ~ = ~{\color{red} 16,08
}\item   387,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,387 3
}\item   3,353 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,033 53
}\item   296,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,964
}\item   2 184 ~ \(\times\)  0,1 ~ = ~{\color{red} 218,4
}\item   7,795 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,779 5
}\item   3,324 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,332 4
}\item   50,36 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,050 36
}\item   60,66 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,606 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   7,54 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,075 4
\item   1,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 3
\item   8,99 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,089 9
\item   3,166 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 166
\item   175,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,175 1
\item   718 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,18
\item   499 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,99
\item   41,89 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,418 9
\item   668,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,668 2
\item   3 494 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 349,4
\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 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 059,9 ~km~ = {\color{red}  8 059 900 000 }~mm
\item   488,31 ~cg~ = {\color{red}  4 883,1 }~mg
\item   9 950,7 ~dag~ = {\color{red}  9 950 700 }~cg
\item   280,33 ~dg~ = {\color{red}  28 033 }~mg
\item   265,8 ~dm~ = {\color{red}  0,026 58 }~km
\item   185,29 ~hm~ = {\color{red}  1 852,9 }~dam
\item   6 305,9 ~cg~ = {\color{red}  0,630 59 }~hg
\item   1 958,1 ~kg~ = {\color{red}  195 810 }~dag
\item   3 379,6 ~L~ = {\color{red}  3 379 600 }~mL
\item   8 033 ~g~ = {\color{red}  803 300 }~cg
\end{itemize}
\end{multicols}
\end{document}
