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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 324}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{65}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{54}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   82  ~ \(\times\)  ~ 100
\item   52,5  ~ \(\times\)  ~ 10
\item   3,7  ~ \(\times\)  ~ 10
\item   0,656  ~ \(\times\)  ~ 100
\item   59,5  ~ \(\times\)  ~ 10
\item   875  ~ \(\times\)  ~ 100
\item   76,4  ~ \(\times\)  ~ 100
\item   214  ~ \(\times\)  ~ 1 000
\item   27  ~ \(\times\)  ~ 1 000
\item   510  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,304  ~ : ~ 100
\item   9,72  ~ : ~ 100
\item   3 430  ~ : ~ 100
\item   6,05  ~ : ~ 1 000
\item   0,671  ~ : ~ 100
\item   665,2  ~ : ~ 10
\item   40,65  ~ : ~ 100
\item   9 033  ~ : ~ 10
\item   437,3  ~ : ~ 1 000
\item   5,321  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,19  ~ \(\times\)  ~ ... ~ = ~ 61,9
\item   3,11  ~ \(\times\)  ~ ... ~ = ~ 311
\item   0,786  ~ \(\times\)  ~ ... ~ = ~ 7,86
\item   914  ~ \(\times\)  ~ ... ~ = ~ 914 000
\item   0,97  ~ \(\times\)  ~ ... ~ = ~ 9,7
\item   47,4  ~ \(\times\)  ~ ... ~ = ~ 4 740
\item   30  ~ \(\times\)  ~ ... ~ = ~ 30 000
\item   48,5  ~ \(\times\)  ~ ... ~ = ~ 48 500
\item   889  ~ \(\times\)  ~ ... ~ = ~ 889 000
\item   0,889  ~ \(\times\)  ~ ... ~ = ~ 88,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 008  ~ \(\times\)  ~ 0,1
\item   263,5  ~ \(\times\)  ~ 0,001
\item   967,8  ~ \(\times\)  ~ 0,1
\item   0,818  ~ \(\times\)  ~ 0,01
\item   30,06  ~ \(\times\)  ~ 0,01
\item   2 324  ~ \(\times\)  ~ 0,01
\item   2 612  ~ \(\times\)  ~ 0,1
\item   69,11  ~ \(\times\)  ~ 0,1
\item   8,244  ~ \(\times\)  ~ 0,1
\item   8,565  ~ \(\times\)  ~ 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   9 436  ~ \(\times\)  ~ ... ~ = ~  9,436
\item   208,7  ~ \(\times\)  ~ ... ~ = ~  2,087
\item   4,31  ~ \(\times\)  ~ ... ~ = ~  0,004 31
\item   43,18  ~ \(\times\)  ~ ... ~ = ~  0,431 8
\item   813,7  ~ \(\times\)  ~ ... ~ = ~  8,137
\item   309,6  ~ \(\times\)  ~ ... ~ = ~  3,096
\item   2,846  ~ \(\times\)  ~ ... ~ = ~  0,002 846
\item   1,347  ~ \(\times\)  ~ ... ~ = ~  0,134 7
\item   1,07  ~ \(\times\)  ~ ... ~ = ~  0,001 07
\item   554,5  ~ \(\times\)  ~ ... ~ = ~  5,545
\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~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 861,4 ~cL~ = ...~mL
\item   6 862,8 ~mL~ = ...~dL
\item   3 823,1 ~cg~ = ...~g
\item   6 451 ~km~ = ...~dm
\item   9 447,1 ~dag~ = ...~hg
\item   931,26 ~mg~ = ...~dag
\item   8 944,3 ~mm~ = ...~dm
\item   936,91 ~kg~ = ...~g
\item   1 384,2 ~dag~ = ...~g
\item   846,52 ~hm~ = ...~cm
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 = \(\dfrac{30}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{220}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{65}{10}\) = \(\dfrac{650}{100}\)
\item   \(\dfrac{54}{100}\) = \(\dfrac{540}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   82  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 200}
\item   52,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 525}
\item   3,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 37}
\item   0,656  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 65,6}
\item   59,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 595}
\item   875  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 87 500}
\item   76,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 640}
\item   214  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 214 000}
\item   27  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 27 000}
\item   510  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 510 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,304 ~ : ~ 100 ~ = ~{\color{red} 0,003 04}
\item   9,72 ~ : ~ 100 ~ = ~{\color{red} 0,097 2}
\item   3 430 ~ : ~ 100 ~ = ~{\color{red} 34,3}
\item   6,05 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 05}
\item   0,671 ~ : ~ 100 ~ = ~{\color{red} 0,006 71}
\item   665,2 ~ : ~ 10 ~ = ~{\color{red} 66,52}
\item   40,65 ~ : ~ 100 ~ = ~{\color{red} 0,406 5}
\item   9 033 ~ : ~ 10 ~ = ~{\color{red} 903,3}
\item   437,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,437 3}
\item   5,321 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 321}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,19 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~61,9
\item   3,11 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~311
\item   0,786 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7,86
\item   914 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~914 000
\item   0,97 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,7
\item   47,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 740
\item   30 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30 000
\item   48,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~48 500
\item   889 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~889 000
\item   0,889 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~88,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 008 ~ \(\times\)  0,1 ~ = ~{\color{red} 700,8
}\item   263,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,263 5
}\item   967,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 96,78
}\item   0,818 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,008 18
}\item   30,06 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,300 6
}\item   2 324 ~ \(\times\)  0,01 ~ = ~{\color{red} 23,24
}\item   2 612 ~ \(\times\)  0,1 ~ = ~{\color{red} 261,2
}\item   69,11 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,911
}\item   8,244 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,824 4
}\item   8,565 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 565
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 436 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,436
\item   208,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,087
\item   4,31 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 31
\item   43,18 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,431 8
\item   813,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,137
\item   309,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,096
\item   2,846 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 846
\item   1,347 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,134 7
\item   1,07 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 07
\item   554,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,545
\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}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 861,4 ~cL~ = {\color{red}  98 614 }~mL
\item   6 862,8 ~mL~ = {\color{red}  68,628 }~dL
\item   3 823,1 ~cg~ = {\color{red}  38,231 }~g
\item   6 451 ~km~ = {\color{red}  64 510 000 }~dm
\item   9 447,1 ~dag~ = {\color{red}  944,71 }~hg
\item   931,26 ~mg~ = {\color{red}  0,093 126 }~dag
\item   8 944,3 ~mm~ = {\color{red}  89,443 }~dm
\item   936,91 ~kg~ = {\color{red}  936 910 }~g
\item   1 384,2 ~dag~ = {\color{red}  13 842 }~g
\item   846,52 ~hm~ = {\color{red}  8 465 200 }~cm
\end{itemize}
\end{multicols}
\end{document}
