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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{11}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{29}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,069  ~ \(\times\)  ~ 100
\item   7,86  ~ \(\times\)  ~ 100
\item   797  ~ \(\times\)  ~ 100
\item   50,9  ~ \(\times\)  ~ 1 000
\item   0,902  ~ \(\times\)  ~ 1 000
\item   561  ~ \(\times\)  ~ 10
\item   0,059  ~ \(\times\)  ~ 1 000
\item   8,33  ~ \(\times\)  ~ 1 000
\item   0,083  ~ \(\times\)  ~ 1 000
\item   0,099  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   16,26  ~ : ~ 100
\item   4,204  ~ : ~ 1 000
\item   163,7  ~ : ~ 1 000
\item   4 871  ~ : ~ 10
\item   974,4  ~ : ~ 1 000
\item   6,005  ~ : ~ 10
\item   8 533  ~ : ~ 1 000
\item   602,1  ~ : ~ 1 000
\item   71,41  ~ : ~ 100
\item   9 753  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 0,52
\item   0,013  ~ \(\times\)  ~ ... ~ = ~ 13
\item   2,83  ~ \(\times\)  ~ ... ~ = ~ 2 830
\item   0,209  ~ \(\times\)  ~ ... ~ = ~ 20,9
\item   23,7  ~ \(\times\)  ~ ... ~ = ~ 23 700
\item   0,022  ~ \(\times\)  ~ ... ~ = ~ 0,22
\item   20,2  ~ \(\times\)  ~ ... ~ = ~ 202
\item   6,72  ~ \(\times\)  ~ ... ~ = ~ 6 720
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 94
\item   3,22  ~ \(\times\)  ~ ... ~ = ~ 322
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,741  ~ \(\times\)  ~ 0,01
\item   2,179  ~ \(\times\)  ~ 0,1
\item   3,137  ~ \(\times\)  ~ 0,001
\item   6 617  ~ \(\times\)  ~ 0,01
\item   4 120  ~ \(\times\)  ~ 0,001
\item   7,41  ~ \(\times\)  ~ 0,01
\item   1,353  ~ \(\times\)  ~ 0,01
\item   5,072  ~ \(\times\)  ~ 0,1
\item   32,49  ~ \(\times\)  ~ 0,01
\item   809  ~ \(\times\)  ~ 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   459  ~ \(\times\)  ~ ... ~ = ~  4,59
\item   97,57  ~ \(\times\)  ~ ... ~ = ~  9,757
\item   4,3  ~ \(\times\)  ~ ... ~ = ~  0,043
\item   85,69  ~ \(\times\)  ~ ... ~ = ~  0,856 9
\item   7,01  ~ \(\times\)  ~ ... ~ = ~  0,070 1
\item   7,878  ~ \(\times\)  ~ ... ~ = ~  0,078 78
\item   2,43  ~ \(\times\)  ~ ... ~ = ~  0,024 3
\item   5,109  ~ \(\times\)  ~ ... ~ = ~  0,051 09
\item   610,5  ~ \(\times\)  ~ ... ~ = ~  0,610 5
\item   62,62  ~ \(\times\)  ~ ... ~ = ~  0,626 2
\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~ = ...~dm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 130 ~dg~ = ...~dag
\item   4 128,6 ~mm~ = ...~m
\item   882,28 ~daL~ = ...~dL
\item   114,49 ~mm~ = ...~km
\item   793,05 ~L~ = ...~mL
\item   2 938,2 ~cm~ = ...~dm
\item   6 604,7 ~mg~ = ...~cg
\item   3 002,1 ~kg~ = ...~cg
\item   8 068,2 ~km~ = ...~cm
\item   338,24 ~dg~ = ...~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   2 = \(\dfrac{20}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{4400}{100}\) = \(\dfrac{440}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{11}{10}\) = \(\dfrac{110}{100}\)
\item   \(\dfrac{29}{100}\) = \(\dfrac{290}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,069  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,9}
\item   7,86  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 786}
\item   797  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 79 700}
\item   50,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 50 900}
\item   0,902  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 902}
\item   561  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 610}
\item   0,059  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 59}
\item   8,33  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 330}
\item   0,083  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 83}
\item   0,099  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   16,26 ~ : ~ 100 ~ = ~{\color{red} 0,162 6}
\item   4,204 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 204}
\item   163,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,163 7}
\item   4 871 ~ : ~ 10 ~ = ~{\color{red} 487,1}
\item   974,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,974 4}
\item   6,005 ~ : ~ 10 ~ = ~{\color{red} 0,600 5}
\item   8 533 ~ : ~ 1 000 ~ = ~{\color{red} 8,533}
\item   602,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,602 1}
\item   71,41 ~ : ~ 100 ~ = ~{\color{red} 0,714 1}
\item   9 753 ~ : ~ 10 ~ = ~{\color{red} 975,3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,052 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,52
\item   0,013 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~13
\item   2,83 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 830
\item   0,209 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~20,9
\item   23,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~23 700
\item   0,022 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,22
\item   20,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~202
\item   6,72 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 720
\item   0,094 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~94
\item   3,22 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~322
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,741 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,087 41
}\item   2,179 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,217 9
}\item   3,137 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 137
}\item   6 617 ~ \(\times\)  0,01 ~ = ~{\color{red} 66,17
}\item   4 120 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,12
}\item   7,41 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,074 1
}\item   1,353 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,013 53
}\item   5,072 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,507 2
}\item   32,49 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,324 9
}\item   809 ~ \(\times\)  0,1 ~ = ~{\color{red} 80,9
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   459 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,59
\item   97,57 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,757
\item   4,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,043
\item   85,69 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,856 9
\item   7,01 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,070 1
\item   7,878 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,078 78
\item   2,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,024 3
\item   5,109 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,051 09
\item   610,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,610 5
\item   62,62 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,626 2
\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~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 130 ~dg~ = {\color{red}  81,3 }~dag
\item   4 128,6 ~mm~ = {\color{red}  4,128 6 }~m
\item   882,28 ~daL~ = {\color{red}  88 228 }~dL
\item   114,49 ~mm~ = {\color{red}  0,000 114 49 }~km
\item   793,05 ~L~ = {\color{red}  793 050 }~mL
\item   2 938,2 ~cm~ = {\color{red}  293,82 }~dm
\item   6 604,7 ~mg~ = {\color{red}  660,47 }~cg
\item   3 002,1 ~kg~ = {\color{red}  300 210 000 }~cg
\item   8 068,2 ~km~ = {\color{red}  806 820 000 }~cm
\item   338,24 ~dg~ = {\color{red}  33,824 }~g
\end{itemize}
\end{multicols}
\end{document}
