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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{39}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26,2  ~ \(\times\)  ~ 100
\item   0,028  ~ \(\times\)  ~ 10
\item   0,067  ~ \(\times\)  ~ 10
\item   14,8  ~ \(\times\)  ~ 100
\item   0,98  ~ \(\times\)  ~ 1 000
\item   6,88  ~ \(\times\)  ~ 100
\item   443  ~ \(\times\)  ~ 1 000
\item   0,068  ~ \(\times\)  ~ 100
\item   0,75  ~ \(\times\)  ~ 100
\item   333  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,465  ~ : ~ 10
\item   1 654  ~ : ~ 100
\item   9 262  ~ : ~ 1 000
\item   1 159  ~ : ~ 10
\item   26,22  ~ : ~ 100
\item   642,8  ~ : ~ 1 000
\item   2 942  ~ : ~ 10
\item   1 047  ~ : ~ 10
\item   5,35  ~ : ~ 10
\item   29,19  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   66  ~ \(\times\)  ~ ... ~ = ~ 66 000
\item   47  ~ \(\times\)  ~ ... ~ = ~ 47 000
\item   0,487  ~ \(\times\)  ~ ... ~ = ~ 487
\item   8,72  ~ \(\times\)  ~ ... ~ = ~ 872
\item   0,087  ~ \(\times\)  ~ ... ~ = ~ 8,7
\item   0,067  ~ \(\times\)  ~ ... ~ = ~ 0,67
\item   0,12  ~ \(\times\)  ~ ... ~ = ~ 1,2
\item   0,068  ~ \(\times\)  ~ ... ~ = ~ 6,8
\item   776  ~ \(\times\)  ~ ... ~ = ~ 7 760
\item   4,44  ~ \(\times\)  ~ ... ~ = ~ 444
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   54,53  ~ \(\times\)  ~ 0,1
\item   60,6  ~ \(\times\)  ~ 0,1
\item   282,2  ~ \(\times\)  ~ 0,1
\item   5,87  ~ \(\times\)  ~ 0,1
\item   828  ~ \(\times\)  ~ 0,01
\item   40,48  ~ \(\times\)  ~ 0,001
\item   539,5  ~ \(\times\)  ~ 0,1
\item   25,13  ~ \(\times\)  ~ 0,1
\item   6 169  ~ \(\times\)  ~ 0,1
\item   90,16  ~ \(\times\)  ~ 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   3 597  ~ \(\times\)  ~ ... ~ = ~  359,7
\item   837,5  ~ \(\times\)  ~ ... ~ = ~  83,75
\item   4 562  ~ \(\times\)  ~ ... ~ = ~  456,2
\item   290,8  ~ \(\times\)  ~ ... ~ = ~  29,08
\item   787,5  ~ \(\times\)  ~ ... ~ = ~  78,75
\item   7,37  ~ \(\times\)  ~ ... ~ = ~  0,007 37
\item   623,9  ~ \(\times\)  ~ ... ~ = ~  0,623 9
\item   86,11  ~ \(\times\)  ~ ... ~ = ~  0,086 11
\item   86,94  ~ \(\times\)  ~ ... ~ = ~  0,086 94
\item   8 966  ~ \(\times\)  ~ ... ~ = ~  8,966
\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~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 663,6 ~hL~ = ...~daL
\item   782,72 ~kg~ = ...~mg
\item   7 699,9 ~dg~ = ...~dag
\item   9 684,3 ~cg~ = ...~kg
\item   938,05 ~hg~ = ...~dag
\item   7 465,9 ~cg~ = ...~dag
\item   719,48 ~dg~ = ...~hg
\item   7 175,3 ~kg~ = ...~cg
\item   804 ~km~ = ...~dm
\item   1 601,3 ~hL~ = ...~dL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{5000}{100}\) = \(\dfrac{500}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{270}{100}\)
\item   \(\dfrac{39}{100}\) = \(\dfrac{390}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 620}
\item   0,028  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,28}
\item   0,067  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,67}
\item   14,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 480}
\item   0,98  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 980}
\item   6,88  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 688}
\item   443  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 443 000}
\item   0,068  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,8}
\item   0,75  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 75}
\item   333  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 333 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,465 ~ : ~ 10 ~ = ~{\color{red} 0,346 5}
\item   1 654 ~ : ~ 100 ~ = ~{\color{red} 16,54}
\item   9 262 ~ : ~ 1 000 ~ = ~{\color{red} 9,262}
\item   1 159 ~ : ~ 10 ~ = ~{\color{red} 115,9}
\item   26,22 ~ : ~ 100 ~ = ~{\color{red} 0,262 2}
\item   642,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,642 8}
\item   2 942 ~ : ~ 10 ~ = ~{\color{red} 294,2}
\item   1 047 ~ : ~ 10 ~ = ~{\color{red} 104,7}
\item   5,35 ~ : ~ 10 ~ = ~{\color{red} 0,535}
\item   29,19 ~ : ~ 100 ~ = ~{\color{red} 0,291 9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   66 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~66 000
\item   47 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~47 000
\item   0,487 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~487
\item   8,72 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~872
\item   0,087 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,7
\item   0,067 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,67
\item   0,12 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,2
\item   0,068 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,8
\item   776 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7 760
\item   4,44 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~444
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   54,53 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,453
}\item   60,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,06
}\item   282,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 28,22
}\item   5,87 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,587
}\item   828 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,28
}\item   40,48 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,040 48
}\item   539,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 53,95
}\item   25,13 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,513
}\item   6 169 ~ \(\times\)  0,1 ~ = ~{\color{red} 616,9
}\item   90,16 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,901 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   3 597 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 359,7
\item   837,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 83,75
\item   4 562 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 456,2
\item   290,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 29,08
\item   787,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 78,75
\item   7,37 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 37
\item   623,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,623 9
\item   86,11 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,086 11
\item   86,94 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,086 94
\item   8 966 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,966
\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}  100 ~ }dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 663,6 ~hL~ = {\color{red}  76 636 }~daL
\item   782,72 ~kg~ = {\color{red}  782 720 000 }~mg
\item   7 699,9 ~dg~ = {\color{red}  76,999 }~dag
\item   9 684,3 ~cg~ = {\color{red}  0,096 843 }~kg
\item   938,05 ~hg~ = {\color{red}  9 380,5 }~dag
\item   7 465,9 ~cg~ = {\color{red}  7,465 9 }~dag
\item   719,48 ~dg~ = {\color{red}  0,719 48 }~hg
\item   7 175,3 ~kg~ = {\color{red}  717 530 000 }~cg
\item   804 ~km~ = {\color{red}  8 040 000 }~dm
\item   1 601,3 ~hL~ = {\color{red}  1 601 300 }~dL
\end{itemize}
\end{multicols}
\end{document}
