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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 61}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{48}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   337  ~ \(\times\)  ~ 100
\item   3,75  ~ \(\times\)  ~ 10
\item   0,424  ~ \(\times\)  ~ 100
\item   1,8  ~ \(\times\)  ~ 1 000
\item   0,002  ~ \(\times\)  ~ 1 000
\item   10,2  ~ \(\times\)  ~ 100
\item   0,036  ~ \(\times\)  ~ 10
\item   0,139  ~ \(\times\)  ~ 100
\item   9,36  ~ \(\times\)  ~ 1 000
\item   8,73  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   53,19  ~ : ~ 1 000
\item   30,28  ~ : ~ 100
\item   678  ~ : ~ 10
\item   3 061  ~ : ~ 1 000
\item   6,123  ~ : ~ 10
\item   8,939  ~ : ~ 10
\item   5 154  ~ : ~ 100
\item   3 015  ~ : ~ 100
\item   5 772  ~ : ~ 100
\item   3 664  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,037  ~ \(\times\)  ~ ... ~ = ~ 3,7
\item   0,041  ~ \(\times\)  ~ ... ~ = ~ 4,1
\item   0,441  ~ \(\times\)  ~ ... ~ = ~ 4,41
\item   147  ~ \(\times\)  ~ ... ~ = ~ 14 700
\item   515  ~ \(\times\)  ~ ... ~ = ~ 515 000
\item   0,323  ~ \(\times\)  ~ ... ~ = ~ 323
\item   426  ~ \(\times\)  ~ ... ~ = ~ 42 600
\item   76,3  ~ \(\times\)  ~ ... ~ = ~ 76 300
\item   39,1  ~ \(\times\)  ~ ... ~ = ~ 39 100
\item   0,485  ~ \(\times\)  ~ ... ~ = ~ 4,85
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   188,8  ~ \(\times\)  ~ 0,1
\item   2 125  ~ \(\times\)  ~ 0,001
\item   661,7  ~ \(\times\)  ~ 0,001
\item   34,97  ~ \(\times\)  ~ 0,001
\item   7,54  ~ \(\times\)  ~ 0,01
\item   8 062  ~ \(\times\)  ~ 0,01
\item   416,2  ~ \(\times\)  ~ 0,1
\item   2,854  ~ \(\times\)  ~ 0,01
\item   25,04  ~ \(\times\)  ~ 0,1
\item   97,87  ~ \(\times\)  ~ 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   264,7  ~ \(\times\)  ~ ... ~ = ~  2,647
\item   186,5  ~ \(\times\)  ~ ... ~ = ~  18,65
\item   8 250  ~ \(\times\)  ~ ... ~ = ~  82,5
\item   4,684  ~ \(\times\)  ~ ... ~ = ~  0,468 4
\item   7,242  ~ \(\times\)  ~ ... ~ = ~  0,007 242
\item   9,583  ~ \(\times\)  ~ ... ~ = ~  0,009 583
\item   8 801  ~ \(\times\)  ~ ... ~ = ~  880,1
\item   23,04  ~ \(\times\)  ~ ... ~ = ~  0,230 4
\item   337  ~ \(\times\)  ~ ... ~ = ~  0,337
\item   9 538  ~ \(\times\)  ~ ... ~ = ~  953,8
\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 ~dam~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 280,3 ~mL~ = ...~cL
\item   397,56 ~dL~ = ...~L
\item   224,98 ~cg~ = ...~mg
\item   7 997,3 ~km~ = ...~m
\item   9 182,5 ~hm~ = ...~km
\item   3 941,4 ~g~ = ...~cg
\item   3 968,3 ~L~ = ...~dL
\item   6 671,4 ~dL~ = ...~daL
\item   5 863,6 ~cm~ = ...~m
\item   3 106,6 ~hg~ = ...~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   8 = \(\dfrac{80}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{8200}{100}\) = \(\dfrac{820}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{520}{100}\)
\item   \(\dfrac{48}{100}\) = \(\dfrac{480}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   337  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 33 700}
\item   3,75  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 37,5}
\item   0,424  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 42,4}
\item   1,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 800}
\item   0,002  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2}
\item   10,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 020}
\item   0,036  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,36}
\item   0,139  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 13,9}
\item   9,36  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 360}
\item   8,73  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 873}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   53,19 ~ : ~ 1 000 ~ = ~{\color{red} 0,053 19}
\item   30,28 ~ : ~ 100 ~ = ~{\color{red} 0,302 8}
\item   678 ~ : ~ 10 ~ = ~{\color{red} 67,8}
\item   3 061 ~ : ~ 1 000 ~ = ~{\color{red} 3,061}
\item   6,123 ~ : ~ 10 ~ = ~{\color{red} 0,612 3}
\item   8,939 ~ : ~ 10 ~ = ~{\color{red} 0,893 9}
\item   5 154 ~ : ~ 100 ~ = ~{\color{red} 51,54}
\item   3 015 ~ : ~ 100 ~ = ~{\color{red} 30,15}
\item   5 772 ~ : ~ 100 ~ = ~{\color{red} 57,72}
\item   3 664 ~ : ~ 1 000 ~ = ~{\color{red} 3,664}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,037 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,7
\item   0,041 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,1
\item   0,441 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,41
\item   147 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~14 700
\item   515 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~515 000
\item   0,323 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~323
\item   426 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~42 600
\item   76,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 300
\item   39,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~39 100
\item   0,485 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,85
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   188,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 18,88
}\item   2 125 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,125
}\item   661,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,661 7
}\item   34,97 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,034 97
}\item   7,54 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,075 4
}\item   8 062 ~ \(\times\)  0,01 ~ = ~{\color{red} 80,62
}\item   416,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 41,62
}\item   2,854 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,028 54
}\item   25,04 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,504
}\item   97,87 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,787
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   264,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,647
\item   186,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 18,65
\item   8 250 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 82,5
\item   4,684 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,468 4
\item   7,242 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 242
\item   9,583 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 583
\item   8 801 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 880,1
\item   23,04 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,230 4
\item   337 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,337
\item   9 538 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 953,8
\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 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 280,3 ~mL~ = {\color{red}  628,03 }~cL
\item   397,56 ~dL~ = {\color{red}  39,756 }~L
\item   224,98 ~cg~ = {\color{red}  2 249,8 }~mg
\item   7 997,3 ~km~ = {\color{red}  7 997 300 }~m
\item   9 182,5 ~hm~ = {\color{red}  918,25 }~km
\item   3 941,4 ~g~ = {\color{red}  394 140 }~cg
\item   3 968,3 ~L~ = {\color{red}  39 683 }~dL
\item   6 671,4 ~dL~ = {\color{red}  66,714 }~daL
\item   5 863,6 ~cm~ = {\color{red}  58,636 }~m
\item   3 106,6 ~hg~ = {\color{red}  31 066 }~dag
\end{itemize}
\end{multicols}
\end{document}
