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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 260}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{38}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{99}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,007  ~ \(\times\)  ~ 100
\item   0,796  ~ \(\times\)  ~ 10
\item   0,028  ~ \(\times\)  ~ 10
\item   71  ~ \(\times\)  ~ 10
\item   800  ~ \(\times\)  ~ 1 000
\item   0,03  ~ \(\times\)  ~ 1 000
\item   0,062  ~ \(\times\)  ~ 1 000
\item   5,72  ~ \(\times\)  ~ 1 000
\item   0,846  ~ \(\times\)  ~ 100
\item   8,39  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   64,07  ~ : ~ 10
\item   3 427  ~ : ~ 10
\item   938,8  ~ : ~ 10
\item   9,72  ~ : ~ 100
\item   8 950  ~ : ~ 100
\item   7,791  ~ : ~ 1 000
\item   18,58  ~ : ~ 10
\item   82,54  ~ : ~ 100
\item   696  ~ : ~ 1 000
\item   35,34  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,68  ~ \(\times\)  ~ ... ~ = ~ 168
\item   6,82  ~ \(\times\)  ~ ... ~ = ~ 68,2
\item   77,9  ~ \(\times\)  ~ ... ~ = ~ 779
\item   0,008  ~ \(\times\)  ~ ... ~ = ~ 0,8
\item   4,55  ~ \(\times\)  ~ ... ~ = ~ 4 550
\item   0,661  ~ \(\times\)  ~ ... ~ = ~ 661
\item   0,346  ~ \(\times\)  ~ ... ~ = ~ 346
\item   95,2  ~ \(\times\)  ~ ... ~ = ~ 95 200
\item   7,12  ~ \(\times\)  ~ ... ~ = ~ 71,2
\item   49,6  ~ \(\times\)  ~ ... ~ = ~ 49 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   618,5  ~ \(\times\)  ~ 0,1
\item   242,4  ~ \(\times\)  ~ 0,1
\item   6,107  ~ \(\times\)  ~ 0,001
\item   593,7  ~ \(\times\)  ~ 0,01
\item   2,861  ~ \(\times\)  ~ 0,01
\item   461,7  ~ \(\times\)  ~ 0,1
\item   18,14  ~ \(\times\)  ~ 0,01
\item   93,65  ~ \(\times\)  ~ 0,001
\item   9,628  ~ \(\times\)  ~ 0,01
\item   42,44  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   436,4  ~ \(\times\)  ~ ... ~ = ~  43,64
\item   830,2  ~ \(\times\)  ~ ... ~ = ~  8,302
\item   922,7  ~ \(\times\)  ~ ... ~ = ~  92,27
\item   5,336  ~ \(\times\)  ~ ... ~ = ~  0,533 6
\item   80,75  ~ \(\times\)  ~ ... ~ = ~  0,080 75
\item   3 352  ~ \(\times\)  ~ ... ~ = ~  335,2
\item   17,22  ~ \(\times\)  ~ ... ~ = ~  1,722
\item   0,587  ~ \(\times\)  ~ ... ~ = ~  0,005 87
\item   856,7  ~ \(\times\)  ~ ... ~ = ~  0,856 7
\item   758,4  ~ \(\times\)  ~ ... ~ = ~  0,758 4
\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~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 590,3 ~kL~ = ...~daL
\item   751,22 ~kg~ = ...~dag
\item   855,2 ~m~ = ...~dam
\item   2 232,6 ~dm~ = ...~cm
\item   389,8 ~dag~ = ...~hg
\item   1 626,9 ~kg~ = ...~cg
\item   6 254 ~hg~ = ...~cg
\item   364,52 ~hL~ = ...~cL
\item   1 579,5 ~mL~ = ...~hL
\item   193,15 ~cm~ = ...~m
\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   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{6300}{100}\) = \(\dfrac{630}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{38}{10}\) = \(\dfrac{380}{100}\)
\item   \(\dfrac{99}{100}\) = \(\dfrac{990}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,007  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,7}
\item   0,796  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,96}
\item   0,028  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,28}
\item   71  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 710}
\item   800  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 800 000}
\item   0,03  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 30}
\item   0,062  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 62}
\item   5,72  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 720}
\item   0,846  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 84,6}
\item   8,39  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 390}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   64,07 ~ : ~ 10 ~ = ~{\color{red} 6,407}
\item   3 427 ~ : ~ 10 ~ = ~{\color{red} 342,7}
\item   938,8 ~ : ~ 10 ~ = ~{\color{red} 93,88}
\item   9,72 ~ : ~ 100 ~ = ~{\color{red} 0,097 2}
\item   8 950 ~ : ~ 100 ~ = ~{\color{red} 89,5}
\item   7,791 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 791}
\item   18,58 ~ : ~ 10 ~ = ~{\color{red} 1,858}
\item   82,54 ~ : ~ 100 ~ = ~{\color{red} 0,825 4}
\item   696 ~ : ~ 1 000 ~ = ~{\color{red} 0,696}
\item   35,34 ~ : ~ 10 ~ = ~{\color{red} 3,534}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,68 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~168
\item   6,82 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~68,2
\item   77,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~779
\item   0,008 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,8
\item   4,55 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 550
\item   0,661 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~661
\item   0,346 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~346
\item   95,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~95 200
\item   7,12 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~71,2
\item   49,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   618,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 61,85
}\item   242,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 24,24
}\item   6,107 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 107
}\item   593,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,937
}\item   2,861 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,028 61
}\item   461,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 46,17
}\item   18,14 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,181 4
}\item   93,65 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,093 65
}\item   9,628 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,096 28
}\item   42,44 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,042 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   436,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 43,64
\item   830,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,302
\item   922,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 92,27
\item   5,336 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,533 6
\item   80,75 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,080 75
\item   3 352 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 335,2
\item   17,22 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,722
\item   0,587 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,005 87
\item   856,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,856 7
\item   758,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,758 4
\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~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 590,3 ~kL~ = {\color{red}  359 030 }~daL
\item   751,22 ~kg~ = {\color{red}  75 122 }~dag
\item   855,2 ~m~ = {\color{red}  85,52 }~dam
\item   2 232,6 ~dm~ = {\color{red}  22 326 }~cm
\item   389,8 ~dag~ = {\color{red}  38,98 }~hg
\item   1 626,9 ~kg~ = {\color{red}  162 690 000 }~cg
\item   6 254 ~hg~ = {\color{red}  62 540 000 }~cg
\item   364,52 ~hL~ = {\color{red}  3 645 200 }~cL
\item   1 579,5 ~mL~ = {\color{red}  0,015 795 }~hL
\item   193,15 ~cm~ = {\color{red}  1,931 5 }~m
\end{itemize}
\end{multicols}
\end{document}
