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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{50}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{65}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,351  ~ \(\times\)  ~ 100
\item   70,7  ~ \(\times\)  ~ 100
\item   19,9  ~ \(\times\)  ~ 100
\item   19,7  ~ \(\times\)  ~ 100
\item   47,3  ~ \(\times\)  ~ 1 000
\item   9,23  ~ \(\times\)  ~ 100
\item   6,95  ~ \(\times\)  ~ 100
\item   0,726  ~ \(\times\)  ~ 1 000
\item   25  ~ \(\times\)  ~ 100
\item   0,09  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,78  ~ : ~ 10
\item   600,2  ~ : ~ 100
\item   5 277  ~ : ~ 1 000
\item   6 458  ~ : ~ 10
\item   830,9  ~ : ~ 1 000
\item   5,107  ~ : ~ 100
\item   9 260  ~ : ~ 10
\item   712,9  ~ : ~ 1 000
\item   5,054  ~ : ~ 1 000
\item   65,23  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   54,7  ~ \(\times\)  ~ ... ~ = ~ 547
\item   0,093  ~ \(\times\)  ~ ... ~ = ~ 0,93
\item   0,986  ~ \(\times\)  ~ ... ~ = ~ 98,6
\item   668  ~ \(\times\)  ~ ... ~ = ~ 66 800
\item   55  ~ \(\times\)  ~ ... ~ = ~ 550
\item   0,755  ~ \(\times\)  ~ ... ~ = ~ 75,5
\item   0,059  ~ \(\times\)  ~ ... ~ = ~ 0,59
\item   0,054  ~ \(\times\)  ~ ... ~ = ~ 5,4
\item   0,091  ~ \(\times\)  ~ ... ~ = ~ 0,91
\item   35  ~ \(\times\)  ~ ... ~ = ~ 35 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 493  ~ \(\times\)  ~ 0,001
\item   0,636  ~ \(\times\)  ~ 0,1
\item   5,216  ~ \(\times\)  ~ 0,001
\item   689  ~ \(\times\)  ~ 0,001
\item   296,2  ~ \(\times\)  ~ 0,01
\item   8,535  ~ \(\times\)  ~ 0,001
\item   13,84  ~ \(\times\)  ~ 0,001
\item   5,469  ~ \(\times\)  ~ 0,01
\item   411,9  ~ \(\times\)  ~ 0,01
\item   7,415  ~ \(\times\)  ~ 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   6,143  ~ \(\times\)  ~ ... ~ = ~  0,614 3
\item   50,16  ~ \(\times\)  ~ ... ~ = ~  0,050 16
\item   242,2  ~ \(\times\)  ~ ... ~ = ~  2,422
\item   33,58  ~ \(\times\)  ~ ... ~ = ~  0,335 8
\item   6,913  ~ \(\times\)  ~ ... ~ = ~  0,069 13
\item   99,8  ~ \(\times\)  ~ ... ~ = ~  9,98
\item   7,423  ~ \(\times\)  ~ ... ~ = ~  0,007 423
\item   85,56  ~ \(\times\)  ~ ... ~ = ~  0,855 6
\item   5,737  ~ \(\times\)  ~ ... ~ = ~  0,057 37
\item   109  ~ \(\times\)  ~ ... ~ = ~  1,09
\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~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 719,9 ~kg~ = ...~cg
\item   160,81 ~dL~ = ...~kL
\item   5 685,9 ~hg~ = ...~mg
\item   3 374,8 ~dam~ = ...~mm
\item   569,49 ~dam~ = ...~km
\item   7 392,8 ~mm~ = ...~dm
\item   451,31 ~dam~ = ...~hm
\item   5 701,9 ~mm~ = ...~hm
\item   421,91 ~dam~ = ...~m
\item   6 140,4 ~m~ = ...~km
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{220}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{50}{10}\) = \(\dfrac{500}{100}\)
\item   \(\dfrac{65}{100}\) = \(\dfrac{650}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,351  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 35,1}
\item   70,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 070}
\item   19,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 990}
\item   19,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 970}
\item   47,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 47 300}
\item   9,23  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 923}
\item   6,95  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 695}
\item   0,726  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 726}
\item   25  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 500}
\item   0,09  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,78 ~ : ~ 10 ~ = ~{\color{red} 3,778}
\item   600,2 ~ : ~ 100 ~ = ~{\color{red} 6,002}
\item   5 277 ~ : ~ 1 000 ~ = ~{\color{red} 5,277}
\item   6 458 ~ : ~ 10 ~ = ~{\color{red} 645,8}
\item   830,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,830 9}
\item   5,107 ~ : ~ 100 ~ = ~{\color{red} 0,051 07}
\item   9 260 ~ : ~ 10 ~ = ~{\color{red} 926}
\item   712,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,712 9}
\item   5,054 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 054}
\item   65,23 ~ : ~ 1 000 ~ = ~{\color{red} 0,065 23}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   54,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~547
\item   0,093 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,93
\item   0,986 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~98,6
\item   668 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~66 800
\item   55 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~550
\item   0,755 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~75,5
\item   0,059 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,59
\item   0,054 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,4
\item   0,091 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,91
\item   35 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~35 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 493 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,493
}\item   0,636 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,063 6
}\item   5,216 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 216
}\item   689 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,689
}\item   296,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,962
}\item   8,535 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 535
}\item   13,84 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,013 84
}\item   5,469 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,054 69
}\item   411,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,119
}\item   7,415 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 415
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,143 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,614 3
\item   50,16 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,050 16
\item   242,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,422
\item   33,58 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,335 8
\item   6,913 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,069 13
\item   99,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,98
\item   7,423 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 423
\item   85,56 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,855 6
\item   5,737 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,057 37
\item   109 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,09
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 719,9 ~kg~ = {\color{red}  671 990 000 }~cg
\item   160,81 ~dL~ = {\color{red}  0,016 081 }~kL
\item   5 685,9 ~hg~ = {\color{red}  568 590 000 }~mg
\item   3 374,8 ~dam~ = {\color{red}  33 748 000 }~mm
\item   569,49 ~dam~ = {\color{red}  5,694 9 }~km
\item   7 392,8 ~mm~ = {\color{red}  73,928 }~dm
\item   451,31 ~dam~ = {\color{red}  45,131 }~hm
\item   5 701,9 ~mm~ = {\color{red}  0,057 019 }~hm
\item   421,91 ~dam~ = {\color{red}  4 219,1 }~m
\item   6 140,4 ~m~ = {\color{red}  6,140 4 }~km
\end{itemize}
\end{multicols}
\end{document}
