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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{99}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{71}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,94  ~ \(\times\)  ~ 10
\item   5,6  ~ \(\times\)  ~ 10
\item   0,07  ~ \(\times\)  ~ 10
\item   96,1  ~ \(\times\)  ~ 100
\item   854  ~ \(\times\)  ~ 100
\item   33,6  ~ \(\times\)  ~ 10
\item   0,79  ~ \(\times\)  ~ 1 000
\item   0,092  ~ \(\times\)  ~ 100
\item   659  ~ \(\times\)  ~ 10
\item   0,072  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 150  ~ : ~ 10
\item   56,29  ~ : ~ 100
\item   183,4  ~ : ~ 100
\item   4,542  ~ : ~ 10
\item   451,9  ~ : ~ 1 000
\item   9 588  ~ : ~ 100
\item   2,026  ~ : ~ 100
\item   858  ~ : ~ 100
\item   94,47  ~ : ~ 10
\item   612,6  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   375  ~ \(\times\)  ~ ... ~ = ~ 375 000
\item   0,706  ~ \(\times\)  ~ ... ~ = ~ 70,6
\item   0,082  ~ \(\times\)  ~ ... ~ = ~ 0,82
\item   0,018  ~ \(\times\)  ~ ... ~ = ~ 0,18
\item   86,7  ~ \(\times\)  ~ ... ~ = ~ 8 670
\item   39,4  ~ \(\times\)  ~ ... ~ = ~ 3 940
\item   0,004  ~ \(\times\)  ~ ... ~ = ~ 0,04
\item   883  ~ \(\times\)  ~ ... ~ = ~ 883 000
\item   2,51  ~ \(\times\)  ~ ... ~ = ~ 2 510
\item   0,44  ~ \(\times\)  ~ ... ~ = ~ 440
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,953  ~ \(\times\)  ~ 0,01
\item   1,559  ~ \(\times\)  ~ 0,1
\item   6 040  ~ \(\times\)  ~ 0,1
\item   1,207  ~ \(\times\)  ~ 0,001
\item   9 384  ~ \(\times\)  ~ 0,01
\item   52,91  ~ \(\times\)  ~ 0,001
\item   8,611  ~ \(\times\)  ~ 0,1
\item   504  ~ \(\times\)  ~ 0,01
\item   3 317  ~ \(\times\)  ~ 0,001
\item   1 541  ~ \(\times\)  ~ 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   2 266  ~ \(\times\)  ~ ... ~ = ~  226,6
\item   5,82  ~ \(\times\)  ~ ... ~ = ~  0,005 82
\item   5 925  ~ \(\times\)  ~ ... ~ = ~  592,5
\item   8 295  ~ \(\times\)  ~ ... ~ = ~  829,5
\item   95,89  ~ \(\times\)  ~ ... ~ = ~  0,095 89
\item   9 752  ~ \(\times\)  ~ ... ~ = ~  975,2
\item   8,195  ~ \(\times\)  ~ ... ~ = ~  0,081 95
\item   580  ~ \(\times\)  ~ ... ~ = ~  58
\item   5,39  ~ \(\times\)  ~ ... ~ = ~  0,005 39
\item   5,595  ~ \(\times\)  ~ ... ~ = ~  0,055 95
\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 ~hm~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 226,2 ~hm~ = ...~km
\item   348,17 ~daL~ = ...~hL
\item   503,36 ~cg~ = ...~mg
\item   2 464 ~dg~ = ...~kg
\item   8 266,8 ~daL~ = ...~mL
\item   9 758,4 ~mm~ = ...~m
\item   9 815,4 ~cg~ = ...~g
\item   4 355,9 ~dam~ = ...~hm
\item   624,62 ~m~ = ...~hm
\item   5 530,2 ~mL~ = ...~hL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 = \(\dfrac{80}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{5700}{100}\) = \(\dfrac{570}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{99}{10}\) = \(\dfrac{990}{100}\)
\item   \(\dfrac{71}{100}\) = \(\dfrac{710}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,94  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 79,4}
\item   5,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 56}
\item   0,07  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,7}
\item   96,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 610}
\item   854  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85 400}
\item   33,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 336}
\item   0,79  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 790}
\item   0,092  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,2}
\item   659  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 590}
\item   0,072  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 150 ~ : ~ 10 ~ = ~{\color{red} 715}
\item   56,29 ~ : ~ 100 ~ = ~{\color{red} 0,562 9}
\item   183,4 ~ : ~ 100 ~ = ~{\color{red} 1,834}
\item   4,542 ~ : ~ 10 ~ = ~{\color{red} 0,454 2}
\item   451,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,451 9}
\item   9 588 ~ : ~ 100 ~ = ~{\color{red} 95,88}
\item   2,026 ~ : ~ 100 ~ = ~{\color{red} 0,020 26}
\item   858 ~ : ~ 100 ~ = ~{\color{red} 8,58}
\item   94,47 ~ : ~ 10 ~ = ~{\color{red} 9,447}
\item   612,6 ~ : ~ 10 ~ = ~{\color{red} 61,26}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   375 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~375 000
\item   0,706 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~70,6
\item   0,082 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,82
\item   0,018 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,18
\item   86,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 670
\item   39,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 940
\item   0,004 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,04
\item   883 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~883 000
\item   2,51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 510
\item   0,44 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~440
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,953 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,069 53
}\item   1,559 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,155 9
}\item   6 040 ~ \(\times\)  0,1 ~ = ~{\color{red} 604
}\item   1,207 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 207
}\item   9 384 ~ \(\times\)  0,01 ~ = ~{\color{red} 93,84
}\item   52,91 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,052 91
}\item   8,611 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,861 1
}\item   504 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,04
}\item   3 317 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,317
}\item   1 541 ~ \(\times\)  0,1 ~ = ~{\color{red} 154,1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 266 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 226,6
\item   5,82 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 82
\item   5 925 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 592,5
\item   8 295 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 829,5
\item   95,89 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,095 89
\item   9 752 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 975,2
\item   8,195 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,081 95
\item   580 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 58
\item   5,39 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 39
\item   5,595 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,055 95
\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 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 226,2 ~hm~ = {\color{red}  822,62 }~km
\item   348,17 ~daL~ = {\color{red}  34,817 }~hL
\item   503,36 ~cg~ = {\color{red}  5 033,6 }~mg
\item   2 464 ~dg~ = {\color{red}  0,246 4 }~kg
\item   8 266,8 ~daL~ = {\color{red}  82 668 000 }~mL
\item   9 758,4 ~mm~ = {\color{red}  9,758 4 }~m
\item   9 815,4 ~cg~ = {\color{red}  98,154 }~g
\item   4 355,9 ~dam~ = {\color{red}  435,59 }~hm
\item   624,62 ~m~ = {\color{red}  6,246 2 }~hm
\item   5 530,2 ~mL~ = {\color{red}  0,055 302 }~hL
\end{itemize}
\end{multicols}
\end{document}
