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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 342}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   503  ~ \(\times\)  ~ 1 000
\item   5,39  ~ \(\times\)  ~ 1 000
\item   0,005  ~ \(\times\)  ~ 1 000
\item   5,66  ~ \(\times\)  ~ 100
\item   4,1  ~ \(\times\)  ~ 1 000
\item   978  ~ \(\times\)  ~ 1 000
\item   0,02  ~ \(\times\)  ~ 10
\item   0,787  ~ \(\times\)  ~ 100
\item   0,07  ~ \(\times\)  ~ 100
\item   84,8  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 279  ~ : ~ 100
\item   96,05  ~ : ~ 10
\item   69,69  ~ : ~ 10
\item   77,64  ~ : ~ 1 000
\item   8,988  ~ : ~ 1 000
\item   23,96  ~ : ~ 10
\item   93,87  ~ : ~ 100
\item   6,249  ~ : ~ 100
\item   9,055  ~ : ~ 10
\item   0,992  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,109  ~ \(\times\)  ~ ... ~ = ~ 10,9
\item   68  ~ \(\times\)  ~ ... ~ = ~ 680
\item   27  ~ \(\times\)  ~ ... ~ = ~ 27 000
\item   4,72  ~ \(\times\)  ~ ... ~ = ~ 472
\item   0,006  ~ \(\times\)  ~ ... ~ = ~ 0,6
\item   40,6  ~ \(\times\)  ~ ... ~ = ~ 406
\item   182  ~ \(\times\)  ~ ... ~ = ~ 18 200
\item   0,08  ~ \(\times\)  ~ ... ~ = ~ 8
\item   0,056  ~ \(\times\)  ~ ... ~ = ~ 5,6
\item   12,5  ~ \(\times\)  ~ ... ~ = ~ 125
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,03  ~ \(\times\)  ~ 0,1
\item   7,095  ~ \(\times\)  ~ 0,1
\item   21,4  ~ \(\times\)  ~ 0,01
\item   959,8  ~ \(\times\)  ~ 0,001
\item   426,6  ~ \(\times\)  ~ 0,001
\item   69,62  ~ \(\times\)  ~ 0,01
\item   439  ~ \(\times\)  ~ 0,1
\item   225,5  ~ \(\times\)  ~ 0,1
\item   114,7  ~ \(\times\)  ~ 0,01
\item   3 108  ~ \(\times\)  ~ 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   82,96  ~ \(\times\)  ~ ... ~ = ~  0,829 6
\item   4 509  ~ \(\times\)  ~ ... ~ = ~  45,09
\item   342  ~ \(\times\)  ~ ... ~ = ~  3,42
\item   4,729  ~ \(\times\)  ~ ... ~ = ~  0,004 729
\item   1,71  ~ \(\times\)  ~ ... ~ = ~  0,171
\item   9 240  ~ \(\times\)  ~ ... ~ = ~  9,24
\item   6 405  ~ \(\times\)  ~ ... ~ = ~  640,5
\item   874,2  ~ \(\times\)  ~ ... ~ = ~  8,742
\item   15,6  ~ \(\times\)  ~ ... ~ = ~  1,56
\item   8 531  ~ \(\times\)  ~ ... ~ = ~  853,1
\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 ~km~ = ...~dm
\item   1 ~dm~ = ...~cm
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~dam
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~hm~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   663,18 ~dL~ = ...~L
\item   4 515,9 ~hg~ = ...~mg
\item   1 350,3 ~cm~ = ...~m
\item   2 914,5 ~mL~ = ...~kL
\item   929,95 ~kg~ = ...~mg
\item   965,75 ~mm~ = ...~km
\item   221,08 ~hg~ = ...~dag
\item   396,98 ~dag~ = ...~cg
\item   8 955 ~cm~ = ...~km
\item   8 827,8 ~kg~ = ...~g
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{850}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{190}{100}\)
\item   \(\dfrac{20}{100}\) = \(\dfrac{200}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   503  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 503 000}
\item   5,39  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 390}
\item   0,005  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5}
\item   5,66  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 566}
\item   4,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 100}
\item   978  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 978 000}
\item   0,02  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,2}
\item   0,787  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 78,7}
\item   0,07  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7}
\item   84,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 848}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 279 ~ : ~ 100 ~ = ~{\color{red} 42,79}
\item   96,05 ~ : ~ 10 ~ = ~{\color{red} 9,605}
\item   69,69 ~ : ~ 10 ~ = ~{\color{red} 6,969}
\item   77,64 ~ : ~ 1 000 ~ = ~{\color{red} 0,077 64}
\item   8,988 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 988}
\item   23,96 ~ : ~ 10 ~ = ~{\color{red} 2,396}
\item   93,87 ~ : ~ 100 ~ = ~{\color{red} 0,938 7}
\item   6,249 ~ : ~ 100 ~ = ~{\color{red} 0,062 49}
\item   9,055 ~ : ~ 10 ~ = ~{\color{red} 0,905 5}
\item   0,992 ~ : ~ 10 ~ = ~{\color{red} 0,099 2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,109 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~10,9
\item   68 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~680
\item   27 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~27 000
\item   4,72 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~472
\item   0,006 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,6
\item   40,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~406
\item   182 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~18 200
\item   0,08 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8
\item   0,056 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,6
\item   12,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~125
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,03 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,103
}\item   7,095 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,709 5
}\item   21,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,214
}\item   959,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,959 8
}\item   426,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,426 6
}\item   69,62 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,696 2
}\item   439 ~ \(\times\)  0,1 ~ = ~{\color{red} 43,9
}\item   225,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 22,55
}\item   114,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,147
}\item   3 108 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,108
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   82,96 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,829 6
\item   4 509 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 45,09
\item   342 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,42
\item   4,729 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 729
\item   1,71 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,171
\item   9 240 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,24
\item   6 405 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 640,5
\item   874,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,742
\item   15,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,56
\item   8 531 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 853,1
\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 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   663,18 ~dL~ = {\color{red}  66,318 }~L
\item   4 515,9 ~hg~ = {\color{red}  451 590 000 }~mg
\item   1 350,3 ~cm~ = {\color{red}  13,503 }~m
\item   2 914,5 ~mL~ = {\color{red}  0,002 914 5 }~kL
\item   929,95 ~kg~ = {\color{red}  929 950 000 }~mg
\item   965,75 ~mm~ = {\color{red}  0,000 965 75 }~km
\item   221,08 ~hg~ = {\color{red}  2 210,8 }~dag
\item   396,98 ~dag~ = {\color{red}  396 980 }~cg
\item   8 955 ~cm~ = {\color{red}  0,089 55 }~km
\item   8 827,8 ~kg~ = {\color{red}  8 827 800 }~g
\end{itemize}
\end{multicols}
\end{document}
