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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 310}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{31}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{47}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,097  ~ \(\times\)  ~ 1 000
\item   8,76  ~ \(\times\)  ~ 100
\item   0,49  ~ \(\times\)  ~ 1 000
\item   96,3  ~ \(\times\)  ~ 10
\item   6,15  ~ \(\times\)  ~ 10
\item   33,8  ~ \(\times\)  ~ 10
\item   0,067  ~ \(\times\)  ~ 10
\item   0,039  ~ \(\times\)  ~ 100
\item   684  ~ \(\times\)  ~ 1 000
\item   9,79  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   61,65  ~ : ~ 1 000
\item   7 820  ~ : ~ 100
\item   0,938  ~ : ~ 10
\item   7,4  ~ : ~ 100
\item   96,54  ~ : ~ 100
\item   2,385  ~ : ~ 100
\item   9,838  ~ : ~ 10
\item   8 196  ~ : ~ 100
\item   2 590  ~ : ~ 1 000
\item   67,06  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   95,5  ~ \(\times\)  ~ ... ~ = ~ 95 500
\item   63,2  ~ \(\times\)  ~ ... ~ = ~ 632
\item   71,9  ~ \(\times\)  ~ ... ~ = ~ 7 190
\item   0,075  ~ \(\times\)  ~ ... ~ = ~ 0,75
\item   0,969  ~ \(\times\)  ~ ... ~ = ~ 969
\item   0,607  ~ \(\times\)  ~ ... ~ = ~ 607
\item   3,42  ~ \(\times\)  ~ ... ~ = ~ 342
\item   48  ~ \(\times\)  ~ ... ~ = ~ 4 800
\item   0,02  ~ \(\times\)  ~ ... ~ = ~ 2
\item   0,007  ~ \(\times\)  ~ ... ~ = ~ 0,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,39  ~ \(\times\)  ~ 0,1
\item   3,68  ~ \(\times\)  ~ 0,1
\item   3 605  ~ \(\times\)  ~ 0,01
\item   5,49  ~ \(\times\)  ~ 0,1
\item   951,7  ~ \(\times\)  ~ 0,1
\item   8 428  ~ \(\times\)  ~ 0,01
\item   765  ~ \(\times\)  ~ 0,1
\item   1,403  ~ \(\times\)  ~ 0,1
\item   919,2  ~ \(\times\)  ~ 0,01
\item   7,456  ~ \(\times\)  ~ 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   62,15  ~ \(\times\)  ~ ... ~ = ~  6,215
\item   634,4  ~ \(\times\)  ~ ... ~ = ~  6,344
\item   26,25  ~ \(\times\)  ~ ... ~ = ~  0,262 5
\item   8,6  ~ \(\times\)  ~ ... ~ = ~  0,086
\item   8,627  ~ \(\times\)  ~ ... ~ = ~  0,862 7
\item   3 555  ~ \(\times\)  ~ ... ~ = ~  3,555
\item   9,788  ~ \(\times\)  ~ ... ~ = ~  0,097 88
\item   9 552  ~ \(\times\)  ~ ... ~ = ~  95,52
\item   17,41  ~ \(\times\)  ~ ... ~ = ~  1,741
\item   625,1  ~ \(\times\)  ~ ... ~ = ~  0,625 1
\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~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 424,8 ~km~ = ...~m
\item   268,12 ~mL~ = ...~L
\item   5 607 ~L~ = ...~kL
\item   801,93 ~dm~ = ...~hm
\item   845,58 ~cg~ = ...~kg
\item   4 215,9 ~mg~ = ...~dg
\item   7 386,2 ~mL~ = ...~cL
\item   978,16 ~mg~ = ...~cg
\item   680,54 ~dL~ = ...~L
\item   402,56 ~g~ = ...~dag
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{350}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{31}{10}\) = \(\dfrac{310}{100}\)
\item   \(\dfrac{47}{100}\) = \(\dfrac{470}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,097  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 97}
\item   8,76  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 876}
\item   0,49  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 490}
\item   96,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 963}
\item   6,15  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 61,5}
\item   33,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 338}
\item   0,067  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,67}
\item   0,039  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,9}
\item   684  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 684 000}
\item   9,79  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 790}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   61,65 ~ : ~ 1 000 ~ = ~{\color{red} 0,061 65}
\item   7 820 ~ : ~ 100 ~ = ~{\color{red} 78,2}
\item   0,938 ~ : ~ 10 ~ = ~{\color{red} 0,093 8}
\item   7,4 ~ : ~ 100 ~ = ~{\color{red} 0,074}
\item   96,54 ~ : ~ 100 ~ = ~{\color{red} 0,965 4}
\item   2,385 ~ : ~ 100 ~ = ~{\color{red} 0,023 85}
\item   9,838 ~ : ~ 10 ~ = ~{\color{red} 0,983 8}
\item   8 196 ~ : ~ 100 ~ = ~{\color{red} 81,96}
\item   2 590 ~ : ~ 1 000 ~ = ~{\color{red} 2,59}
\item   67,06 ~ : ~ 10 ~ = ~{\color{red} 6,706}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   95,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~95 500
\item   63,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~632
\item   71,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 190
\item   0,075 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,75
\item   0,969 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~969
\item   0,607 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~607
\item   3,42 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~342
\item   48 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 800
\item   0,02 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2
\item   0,007 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   60,39 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,039
}\item   3,68 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,368
}\item   3 605 ~ \(\times\)  0,01 ~ = ~{\color{red} 36,05
}\item   5,49 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,549
}\item   951,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 95,17
}\item   8 428 ~ \(\times\)  0,01 ~ = ~{\color{red} 84,28
}\item   765 ~ \(\times\)  0,1 ~ = ~{\color{red} 76,5
}\item   1,403 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,140 3
}\item   919,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,192
}\item   7,456 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,074 56
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   62,15 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,215
\item   634,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,344
\item   26,25 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,262 5
\item   8,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,086
\item   8,627 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,862 7
\item   3 555 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,555
\item   9,788 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,097 88
\item   9 552 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 95,52
\item   17,41 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,741
\item   625,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,625 1
\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}  1 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 424,8 ~km~ = {\color{red}  7 424 800 }~m
\item   268,12 ~mL~ = {\color{red}  0,268 12 }~L
\item   5 607 ~L~ = {\color{red}  5,607 }~kL
\item   801,93 ~dm~ = {\color{red}  0,801 93 }~hm
\item   845,58 ~cg~ = {\color{red}  0,008 455 8 }~kg
\item   4 215,9 ~mg~ = {\color{red}  42,159 }~dg
\item   7 386,2 ~mL~ = {\color{red}  738,62 }~cL
\item   978,16 ~mg~ = {\color{red}  97,816 }~cg
\item   680,54 ~dL~ = {\color{red}  68,054 }~L
\item   402,56 ~g~ = {\color{red}  40,256 }~dag
\end{itemize}
\end{multicols}
\end{document}
