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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 226}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{87}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928  ~ \(\times\)  ~ 10
\item   3,85  ~ \(\times\)  ~ 100
\item   0,569  ~ \(\times\)  ~ 1 000
\item   5,77  ~ \(\times\)  ~ 1 000
\item   0,01  ~ \(\times\)  ~ 100
\item   0,09  ~ \(\times\)  ~ 10
\item   0,019  ~ \(\times\)  ~ 100
\item   0,344  ~ \(\times\)  ~ 1 000
\item   0,097  ~ \(\times\)  ~ 10
\item   0,484  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 101  ~ : ~ 100
\item   93,14  ~ : ~ 10
\item   4,599  ~ : ~ 10
\item   628,2  ~ : ~ 10
\item   8,91  ~ : ~ 1 000
\item   4 195  ~ : ~ 10
\item   757,4  ~ : ~ 100
\item   15,75  ~ : ~ 10
\item   4,734  ~ : ~ 100
\item   273  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,876  ~ \(\times\)  ~ ... ~ = ~ 87,6
\item   425  ~ \(\times\)  ~ ... ~ = ~ 4 250
\item   6,52  ~ \(\times\)  ~ ... ~ = ~ 6 520
\item   0,017  ~ \(\times\)  ~ ... ~ = ~ 0,17
\item   59,6  ~ \(\times\)  ~ ... ~ = ~ 59 600
\item   89,2  ~ \(\times\)  ~ ... ~ = ~ 89 200
\item   91  ~ \(\times\)  ~ ... ~ = ~ 91 000
\item   0,293  ~ \(\times\)  ~ ... ~ = ~ 293
\item   694  ~ \(\times\)  ~ ... ~ = ~ 6 940
\item   0,968  ~ \(\times\)  ~ ... ~ = ~ 9,68
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   857,8  ~ \(\times\)  ~ 0,1
\item   10,09  ~ \(\times\)  ~ 0,01
\item   1 854  ~ \(\times\)  ~ 0,001
\item   501,1  ~ \(\times\)  ~ 0,01
\item   3,133  ~ \(\times\)  ~ 0,001
\item   5 691  ~ \(\times\)  ~ 0,1
\item   3 194  ~ \(\times\)  ~ 0,1
\item   1 936  ~ \(\times\)  ~ 0,1
\item   111,3  ~ \(\times\)  ~ 0,01
\item   51,39  ~ \(\times\)  ~ 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   125,7  ~ \(\times\)  ~ ... ~ = ~  12,57
\item   69,08  ~ \(\times\)  ~ ... ~ = ~  0,690 8
\item   3 785  ~ \(\times\)  ~ ... ~ = ~  37,85
\item   1 513  ~ \(\times\)  ~ ... ~ = ~  1,513
\item   6,913  ~ \(\times\)  ~ ... ~ = ~  0,006 913
\item   267  ~ \(\times\)  ~ ... ~ = ~  2,67
\item   0,488  ~ \(\times\)  ~ ... ~ = ~  0,000 488
\item   1 901  ~ \(\times\)  ~ ... ~ = ~  190,1
\item   6,586  ~ \(\times\)  ~ ... ~ = ~  0,065 86
\item   2 980  ~ \(\times\)  ~ ... ~ = ~  2,98
\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~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   447,25 ~hg~ = ...~dg
\item   340,65 ~m~ = ...~cm
\item   8 745,4 ~L~ = ...~cL
\item   8 964,4 ~daL~ = ...~mL
\item   387,14 ~dam~ = ...~hm
\item   1 117,1 ~g~ = ...~dag
\item   6 401,3 ~cm~ = ...~km
\item   6 968,4 ~dL~ = ...~cL
\item   269,97 ~dg~ = ...~kg
\item   591,49 ~dg~ = ...~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   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{9300}{100}\) = \(\dfrac{930}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{860}{100}\)
\item   \(\dfrac{87}{100}\) = \(\dfrac{870}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 280}
\item   3,85  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 385}
\item   0,569  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 569}
\item   5,77  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 770}
\item   0,01  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1}
\item   0,09  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,9}
\item   0,019  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,9}
\item   0,344  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 344}
\item   0,097  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,97}
\item   0,484  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 484}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 101 ~ : ~ 100 ~ = ~{\color{red} 11,01}
\item   93,14 ~ : ~ 10 ~ = ~{\color{red} 9,314}
\item   4,599 ~ : ~ 10 ~ = ~{\color{red} 0,459 9}
\item   628,2 ~ : ~ 10 ~ = ~{\color{red} 62,82}
\item   8,91 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 91}
\item   4 195 ~ : ~ 10 ~ = ~{\color{red} 419,5}
\item   757,4 ~ : ~ 100 ~ = ~{\color{red} 7,574}
\item   15,75 ~ : ~ 10 ~ = ~{\color{red} 1,575}
\item   4,734 ~ : ~ 100 ~ = ~{\color{red} 0,047 34}
\item   273 ~ : ~ 10 ~ = ~{\color{red} 27,3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,876 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~87,6
\item   425 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 250
\item   6,52 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 520
\item   0,017 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,17
\item   59,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~59 600
\item   89,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~89 200
\item   91 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~91 000
\item   0,293 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~293
\item   694 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 940
\item   0,968 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,68
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   857,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 85,78
}\item   10,09 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,100 9
}\item   1 854 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,854
}\item   501,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,011
}\item   3,133 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 133
}\item   5 691 ~ \(\times\)  0,1 ~ = ~{\color{red} 569,1
}\item   3 194 ~ \(\times\)  0,1 ~ = ~{\color{red} 319,4
}\item   1 936 ~ \(\times\)  0,1 ~ = ~{\color{red} 193,6
}\item   111,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,113
}\item   51,39 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,139
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   125,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 12,57
\item   69,08 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,690 8
\item   3 785 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 37,85
\item   1 513 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,513
\item   6,913 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 913
\item   267 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,67
\item   0,488 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 488
\item   1 901 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 190,1
\item   6,586 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,065 86
\item   2 980 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,98
\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}  10 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   447,25 ~hg~ = {\color{red}  447 250 }~dg
\item   340,65 ~m~ = {\color{red}  34 065 }~cm
\item   8 745,4 ~L~ = {\color{red}  874 540 }~cL
\item   8 964,4 ~daL~ = {\color{red}  89 644 000 }~mL
\item   387,14 ~dam~ = {\color{red}  38,714 }~hm
\item   1 117,1 ~g~ = {\color{red}  111,71 }~dag
\item   6 401,3 ~cm~ = {\color{red}  0,064 013 }~km
\item   6 968,4 ~dL~ = {\color{red}  69 684 }~cL
\item   269,97 ~dg~ = {\color{red}  0,026 997 }~kg
\item   591,49 ~dg~ = {\color{red}  5,914 9 }~dag
\end{itemize}
\end{multicols}
\end{document}
