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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 75}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{76}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{97}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,881  ~ \(\times\)  ~ 1 000
\item   7,04  ~ \(\times\)  ~ 10
\item   9,27  ~ \(\times\)  ~ 10
\item   7,84  ~ \(\times\)  ~ 100
\item   5,17  ~ \(\times\)  ~ 1 000
\item   0,686  ~ \(\times\)  ~ 100
\item   427  ~ \(\times\)  ~ 100
\item   0,056  ~ \(\times\)  ~ 1 000
\item   48,2  ~ \(\times\)  ~ 10
\item   21  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   817,3  ~ : ~ 100
\item   3,94  ~ : ~ 1 000
\item   1 090  ~ : ~ 10
\item   45,28  ~ : ~ 10
\item   1 050  ~ : ~ 100
\item   20,53  ~ : ~ 100
\item   8 660  ~ : ~ 1 000
\item   77,38  ~ : ~ 100
\item   936,3  ~ : ~ 10
\item   6 261  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,84  ~ \(\times\)  ~ ... ~ = ~ 984
\item   4,64  ~ \(\times\)  ~ ... ~ = ~ 46,4
\item   54,8  ~ \(\times\)  ~ ... ~ = ~ 54 800
\item   0,57  ~ \(\times\)  ~ ... ~ = ~ 5,7
\item   0,029  ~ \(\times\)  ~ ... ~ = ~ 29
\item   33,4  ~ \(\times\)  ~ ... ~ = ~ 3 340
\item   0,274  ~ \(\times\)  ~ ... ~ = ~ 27,4
\item   0,733  ~ \(\times\)  ~ ... ~ = ~ 733
\item   0,134  ~ \(\times\)  ~ ... ~ = ~ 13,4
\item   0,038  ~ \(\times\)  ~ ... ~ = ~ 38
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,65  ~ \(\times\)  ~ 0,1
\item   4,731  ~ \(\times\)  ~ 0,01
\item   5 550  ~ \(\times\)  ~ 0,001
\item   8,834  ~ \(\times\)  ~ 0,01
\item   6,132  ~ \(\times\)  ~ 0,001
\item   13,51  ~ \(\times\)  ~ 0,001
\item   2 261  ~ \(\times\)  ~ 0,01
\item   83,46  ~ \(\times\)  ~ 0,1
\item   5,912  ~ \(\times\)  ~ 0,1
\item   244,4  ~ \(\times\)  ~ 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   7,086  ~ \(\times\)  ~ ... ~ = ~  0,070 86
\item   801,6  ~ \(\times\)  ~ ... ~ = ~  80,16
\item   72,49  ~ \(\times\)  ~ ... ~ = ~  7,249
\item   602,2  ~ \(\times\)  ~ ... ~ = ~  60,22
\item   423  ~ \(\times\)  ~ ... ~ = ~  4,23
\item   8,089  ~ \(\times\)  ~ ... ~ = ~  0,080 89
\item   911,8  ~ \(\times\)  ~ ... ~ = ~  9,118
\item   2,525  ~ \(\times\)  ~ ... ~ = ~  0,252 5
\item   574  ~ \(\times\)  ~ ... ~ = ~  57,4
\item   3,17  ~ \(\times\)  ~ ... ~ = ~  0,003 17
\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~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 085,5 ~mg~ = ...~kg
\item   7 475,2 ~dm~ = ...~cm
\item   3 934,9 ~g~ = ...~dag
\item   9 501,4 ~hL~ = ...~kL
\item   135,7 ~kL~ = ...~daL
\item   9 779,3 ~hg~ = ...~dg
\item   880,53 ~hL~ = ...~dL
\item   7 137,9 ~dg~ = ...~g
\item   919,22 ~dg~ = ...~dag
\item   5 541,1 ~L~ = ...~cL
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{690}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{76}{10}\) = \(\dfrac{760}{100}\)
\item   \(\dfrac{97}{100}\) = \(\dfrac{970}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,881  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 881}
\item   7,04  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 70,4}
\item   9,27  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 92,7}
\item   7,84  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 784}
\item   5,17  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 170}
\item   0,686  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 68,6}
\item   427  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 42 700}
\item   0,056  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 56}
\item   48,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 482}
\item   21  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 100}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   817,3 ~ : ~ 100 ~ = ~{\color{red} 8,173}
\item   3,94 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 94}
\item   1 090 ~ : ~ 10 ~ = ~{\color{red} 109}
\item   45,28 ~ : ~ 10 ~ = ~{\color{red} 4,528}
\item   1 050 ~ : ~ 100 ~ = ~{\color{red} 10,5}
\item   20,53 ~ : ~ 100 ~ = ~{\color{red} 0,205 3}
\item   8 660 ~ : ~ 1 000 ~ = ~{\color{red} 8,66}
\item   77,38 ~ : ~ 100 ~ = ~{\color{red} 0,773 8}
\item   936,3 ~ : ~ 10 ~ = ~{\color{red} 93,63}
\item   6 261 ~ : ~ 10 ~ = ~{\color{red} 626,1}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,84 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~984
\item   4,64 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~46,4
\item   54,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~54 800
\item   0,57 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,7
\item   0,029 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~29
\item   33,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 340
\item   0,274 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~27,4
\item   0,733 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~733
\item   0,134 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~13,4
\item   0,038 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~38
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,65 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,665
}\item   4,731 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,047 31
}\item   5 550 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,55
}\item   8,834 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,088 34
}\item   6,132 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 132
}\item   13,51 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,013 51
}\item   2 261 ~ \(\times\)  0,01 ~ = ~{\color{red} 22,61
}\item   83,46 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,346
}\item   5,912 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,591 2
}\item   244,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 24,44
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,086 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,070 86
\item   801,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 80,16
\item   72,49 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,249
\item   602,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 60,22
\item   423 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,23
\item   8,089 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,080 89
\item   911,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,118
\item   2,525 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,252 5
\item   574 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 57,4
\item   3,17 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 17
\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~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 085,5 ~mg~ = {\color{red}  0,009 085 5 }~kg
\item   7 475,2 ~dm~ = {\color{red}  74 752 }~cm
\item   3 934,9 ~g~ = {\color{red}  393,49 }~dag
\item   9 501,4 ~hL~ = {\color{red}  950,14 }~kL
\item   135,7 ~kL~ = {\color{red}  13 570 }~daL
\item   9 779,3 ~hg~ = {\color{red}  9 779 300 }~dg
\item   880,53 ~hL~ = {\color{red}  880 530 }~dL
\item   7 137,9 ~dg~ = {\color{red}  713,79 }~g
\item   919,22 ~dg~ = {\color{red}  9,192 2 }~dag
\item   5 541,1 ~L~ = {\color{red}  554 110 }~cL
\end{itemize}
\end{multicols}
\end{document}
