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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77,8  ~ \(\times\)  ~ 1 000
\item   0,071  ~ \(\times\)  ~ 1 000
\item   0,272  ~ \(\times\)  ~ 100
\item   0,607  ~ \(\times\)  ~ 10
\item   0,098  ~ \(\times\)  ~ 100
\item   0,328  ~ \(\times\)  ~ 10
\item   55,6  ~ \(\times\)  ~ 100
\item   8,25  ~ \(\times\)  ~ 10
\item   0,047  ~ \(\times\)  ~ 100
\item   0,471  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,96  ~ : ~ 1 000
\item   616,2  ~ : ~ 1 000
\item   7,087  ~ : ~ 10
\item   1,151  ~ : ~ 1 000
\item   9 063  ~ : ~ 1 000
\item   49,73  ~ : ~ 1 000
\item   7,847  ~ : ~ 1 000
\item   341,6  ~ : ~ 1 000
\item   4 818  ~ : ~ 1 000
\item   921,9  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,51  ~ \(\times\)  ~ ... ~ = ~ 2 510
\item   0,074  ~ \(\times\)  ~ ... ~ = ~ 7,4
\item   0,724  ~ \(\times\)  ~ ... ~ = ~ 72,4
\item   98,1  ~ \(\times\)  ~ ... ~ = ~ 98 100
\item   0,037  ~ \(\times\)  ~ ... ~ = ~ 3,7
\item   579  ~ \(\times\)  ~ ... ~ = ~ 57 900
\item   882  ~ \(\times\)  ~ ... ~ = ~ 882 000
\item   4,88  ~ \(\times\)  ~ ... ~ = ~ 4 880
\item   0,836  ~ \(\times\)  ~ ... ~ = ~ 8,36
\item   0,694  ~ \(\times\)  ~ ... ~ = ~ 69,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   758,1  ~ \(\times\)  ~ 0,01
\item   8,076  ~ \(\times\)  ~ 0,01
\item   1 020  ~ \(\times\)  ~ 0,001
\item   5,14  ~ \(\times\)  ~ 0,1
\item   1 479  ~ \(\times\)  ~ 0,1
\item   725,5  ~ \(\times\)  ~ 0,1
\item   893,4  ~ \(\times\)  ~ 0,001
\item   7 637  ~ \(\times\)  ~ 0,01
\item   410,7  ~ \(\times\)  ~ 0,1
\item   841,5  ~ \(\times\)  ~ 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   37,53  ~ \(\times\)  ~ ... ~ = ~  0,037 53
\item   865,1  ~ \(\times\)  ~ ... ~ = ~  8,651
\item   20,81  ~ \(\times\)  ~ ... ~ = ~  0,208 1
\item   6,979  ~ \(\times\)  ~ ... ~ = ~  0,006 979
\item   304  ~ \(\times\)  ~ ... ~ = ~  0,304
\item   14,88  ~ \(\times\)  ~ ... ~ = ~  1,488
\item   7 694  ~ \(\times\)  ~ ... ~ = ~  7,694
\item   29,54  ~ \(\times\)  ~ ... ~ = ~  0,029 54
\item   3,25  ~ \(\times\)  ~ ... ~ = ~  0,325
\item   22,34  ~ \(\times\)  ~ ... ~ = ~  0,022 34
\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 ~m~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~cm
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   170,11 ~cg~ = ...~kg
\item   343,09 ~cL~ = ...~L
\item   4 834,1 ~kL~ = ...~L
\item   478,65 ~m~ = ...~dm
\item   985,34 ~hL~ = ...~kL
\item   288,61 ~kL~ = ...~mL
\item   5 341,9 ~dL~ = ...~mL
\item   2 684,3 ~mL~ = ...~hL
\item   6 519,1 ~hg~ = ...~cg
\item   1 472,1 ~dam~ = ...~mm
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{9200}{100}\) = \(\dfrac{920}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{580}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{890}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 77 800}
\item   0,071  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 71}
\item   0,272  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 27,2}
\item   0,607  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,07}
\item   0,098  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,8}
\item   0,328  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,28}
\item   55,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 560}
\item   8,25  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 82,5}
\item   0,047  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,7}
\item   0,471  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,71}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,96 ~ : ~ 1 000 ~ = ~{\color{red} 0,035 96}
\item   616,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,616 2}
\item   7,087 ~ : ~ 10 ~ = ~{\color{red} 0,708 7}
\item   1,151 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 151}
\item   9 063 ~ : ~ 1 000 ~ = ~{\color{red} 9,063}
\item   49,73 ~ : ~ 1 000 ~ = ~{\color{red} 0,049 73}
\item   7,847 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 847}
\item   341,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,341 6}
\item   4 818 ~ : ~ 1 000 ~ = ~{\color{red} 4,818}
\item   921,9 ~ : ~ 100 ~ = ~{\color{red} 9,219}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 510
\item   0,074 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,4
\item   0,724 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~72,4
\item   98,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~98 100
\item   0,037 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,7
\item   579 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~57 900
\item   882 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~882 000
\item   4,88 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 880
\item   0,836 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,36
\item   0,694 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~69,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   758,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,581
}\item   8,076 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,080 76
}\item   1 020 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,02
}\item   5,14 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,514
}\item   1 479 ~ \(\times\)  0,1 ~ = ~{\color{red} 147,9
}\item   725,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 72,55
}\item   893,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,893 4
}\item   7 637 ~ \(\times\)  0,01 ~ = ~{\color{red} 76,37
}\item   410,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 41,07
}\item   841,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 84,15
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,53 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,037 53
\item   865,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,651
\item   20,81 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,208 1
\item   6,979 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 979
\item   304 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,304
\item   14,88 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,488
\item   7 694 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,694
\item   29,54 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,029 54
\item   3,25 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,325
\item   22,34 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,022 34
\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 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   170,11 ~cg~ = {\color{red}  0,001 701 1 }~kg
\item   343,09 ~cL~ = {\color{red}  3,430 9 }~L
\item   4 834,1 ~kL~ = {\color{red}  4 834 100 }~L
\item   478,65 ~m~ = {\color{red}  4 786,5 }~dm
\item   985,34 ~hL~ = {\color{red}  98,534 }~kL
\item   288,61 ~kL~ = {\color{red}  288 610 000 }~mL
\item   5 341,9 ~dL~ = {\color{red}  534 190 }~mL
\item   2 684,3 ~mL~ = {\color{red}  0,026 843 }~hL
\item   6 519,1 ~hg~ = {\color{red}  65 191 000 }~cg
\item   1 472,1 ~dam~ = {\color{red}  14 721 000 }~mm
\end{itemize}
\end{multicols}
\end{document}
