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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{59}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,012  ~ \(\times\)  ~ 10
\item   2,75  ~ \(\times\)  ~ 1 000
\item   0,562  ~ \(\times\)  ~ 10
\item   0,484  ~ \(\times\)  ~ 100
\item   48,4  ~ \(\times\)  ~ 10
\item   0,107  ~ \(\times\)  ~ 10
\item   632  ~ \(\times\)  ~ 1 000
\item   0,018  ~ \(\times\)  ~ 1 000
\item   0,028  ~ \(\times\)  ~ 100
\item   0,651  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,4  ~ : ~ 100
\item   367,5  ~ : ~ 100
\item   4,867  ~ : ~ 100
\item   430,8  ~ : ~ 1 000
\item   76,17  ~ : ~ 1 000
\item   63,92  ~ : ~ 10
\item   2,828  ~ : ~ 1 000
\item   5 755  ~ : ~ 10
\item   844,7  ~ : ~ 100
\item   4 708  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,167  ~ \(\times\)  ~ ... ~ = ~ 16,7
\item   0,945  ~ \(\times\)  ~ ... ~ = ~ 9,45
\item   0,49  ~ \(\times\)  ~ ... ~ = ~ 490
\item   655  ~ \(\times\)  ~ ... ~ = ~ 65 500
\item   42,7  ~ \(\times\)  ~ ... ~ = ~ 4 270
\item   0,698  ~ \(\times\)  ~ ... ~ = ~ 698
\item   1,36  ~ \(\times\)  ~ ... ~ = ~ 136
\item   0,304  ~ \(\times\)  ~ ... ~ = ~ 30,4
\item   0,588  ~ \(\times\)  ~ ... ~ = ~ 58,8
\item   6,19  ~ \(\times\)  ~ ... ~ = ~ 6 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,954  ~ \(\times\)  ~ 0,1
\item   5,432  ~ \(\times\)  ~ 0,1
\item   809,9  ~ \(\times\)  ~ 0,01
\item   454,4  ~ \(\times\)  ~ 0,1
\item   83,41  ~ \(\times\)  ~ 0,1
\item   979,4  ~ \(\times\)  ~ 0,01
\item   4,547  ~ \(\times\)  ~ 0,01
\item   7,273  ~ \(\times\)  ~ 0,1
\item   933,3  ~ \(\times\)  ~ 0,1
\item   3 964  ~ \(\times\)  ~ 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   7 823  ~ \(\times\)  ~ ... ~ = ~  782,3
\item   233,2  ~ \(\times\)  ~ ... ~ = ~  0,233 2
\item   9 254  ~ \(\times\)  ~ ... ~ = ~  9,254
\item   8,763  ~ \(\times\)  ~ ... ~ = ~  0,008 763
\item   3,71  ~ \(\times\)  ~ ... ~ = ~  0,371
\item   87,85  ~ \(\times\)  ~ ... ~ = ~  0,878 5
\item   12,86  ~ \(\times\)  ~ ... ~ = ~  1,286
\item   806,3  ~ \(\times\)  ~ ... ~ = ~  80,63
\item   146,4  ~ \(\times\)  ~ ... ~ = ~  0,146 4
\item   86,67  ~ \(\times\)  ~ ... ~ = ~  0,086 67
\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~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   118,78 ~mm~ = ...~km
\item   821,3 ~dg~ = ...~mg
\item   441,55 ~kg~ = ...~dg
\item   757,68 ~mg~ = ...~hg
\item   536,53 ~hg~ = ...~dg
\item   7 744,8 ~m~ = ...~dam
\item   3 390,5 ~dg~ = ...~g
\item   562,46 ~mm~ = ...~cm
\item   477,24 ~hL~ = ...~cL
\item   3 443,9 ~dg~ = ...~kg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{7200}{100}\) = \(\dfrac{720}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{13}{10}\) = \(\dfrac{130}{100}\)
\item   \(\dfrac{59}{100}\) = \(\dfrac{590}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,012  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,12}
\item   2,75  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 750}
\item   0,562  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,62}
\item   0,484  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 48,4}
\item   48,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 484}
\item   0,107  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,07}
\item   632  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 632 000}
\item   0,018  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 18}
\item   0,028  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,8}
\item   0,651  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 65,1}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,4 ~ : ~ 100 ~ = ~{\color{red} 0,214}
\item   367,5 ~ : ~ 100 ~ = ~{\color{red} 3,675}
\item   4,867 ~ : ~ 100 ~ = ~{\color{red} 0,048 67}
\item   430,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,430 8}
\item   76,17 ~ : ~ 1 000 ~ = ~{\color{red} 0,076 17}
\item   63,92 ~ : ~ 10 ~ = ~{\color{red} 6,392}
\item   2,828 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 828}
\item   5 755 ~ : ~ 10 ~ = ~{\color{red} 575,5}
\item   844,7 ~ : ~ 100 ~ = ~{\color{red} 8,447}
\item   4 708 ~ : ~ 1 000 ~ = ~{\color{red} 4,708}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,167 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~16,7
\item   0,945 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,45
\item   0,49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~490
\item   655 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~65 500
\item   42,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 270
\item   0,698 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~698
\item   1,36 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~136
\item   0,304 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~30,4
\item   0,588 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~58,8
\item   6,19 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 190
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,954 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,795 4
}\item   5,432 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,543 2
}\item   809,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,099
}\item   454,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 45,44
}\item   83,41 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,341
}\item   979,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,794
}\item   4,547 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,045 47
}\item   7,273 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,727 3
}\item   933,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 93,33
}\item   3 964 ~ \(\times\)  0,01 ~ = ~{\color{red} 39,64
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 823 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 782,3
\item   233,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,233 2
\item   9 254 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,254
\item   8,763 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 763
\item   3,71 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,371
\item   87,85 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,878 5
\item   12,86 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,286
\item   806,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 80,63
\item   146,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,146 4
\item   86,67 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,086 67
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   118,78 ~mm~ = {\color{red}  0,000 118 78 }~km
\item   821,3 ~dg~ = {\color{red}  82 130 }~mg
\item   441,55 ~kg~ = {\color{red}  4 415 500 }~dg
\item   757,68 ~mg~ = {\color{red}  0,007 576 8 }~hg
\item   536,53 ~hg~ = {\color{red}  536 530 }~dg
\item   7 744,8 ~m~ = {\color{red}  774,48 }~dam
\item   3 390,5 ~dg~ = {\color{red}  339,05 }~g
\item   562,46 ~mm~ = {\color{red}  56,246 }~cm
\item   477,24 ~hL~ = {\color{red}  4 772 400 }~cL
\item   3 443,9 ~dg~ = {\color{red}  0,344 39 }~kg
\end{itemize}
\end{multicols}
\end{document}
