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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 321}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{82}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{67}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,8  ~ \(\times\)  ~ 1 000
\item   0,474  ~ \(\times\)  ~ 1 000
\item   0,441  ~ \(\times\)  ~ 10
\item   0,002  ~ \(\times\)  ~ 100
\item   452  ~ \(\times\)  ~ 100
\item   0,604  ~ \(\times\)  ~ 10
\item   9,7  ~ \(\times\)  ~ 10
\item   0,388  ~ \(\times\)  ~ 1 000
\item   0,083  ~ \(\times\)  ~ 100
\item   0,89  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   603,1  ~ : ~ 1 000
\item   9,198  ~ : ~ 10
\item   8 966  ~ : ~ 100
\item   3,182  ~ : ~ 100
\item   8 768  ~ : ~ 100
\item   5,927  ~ : ~ 100
\item   179,9  ~ : ~ 10
\item   2,622  ~ : ~ 1 000
\item   7 017  ~ : ~ 100
\item   513,1  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   798  ~ \(\times\)  ~ ... ~ = ~ 7 980
\item   0,074  ~ \(\times\)  ~ ... ~ = ~ 7,4
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 9
\item   0,089  ~ \(\times\)  ~ ... ~ = ~ 8,9
\item   5,01  ~ \(\times\)  ~ ... ~ = ~ 501
\item   0,07  ~ \(\times\)  ~ ... ~ = ~ 7
\item   43,3  ~ \(\times\)  ~ ... ~ = ~ 4 330
\item   0,558  ~ \(\times\)  ~ ... ~ = ~ 5,58
\item   0,091  ~ \(\times\)  ~ ... ~ = ~ 0,91
\item   0,328  ~ \(\times\)  ~ ... ~ = ~ 32,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194,6  ~ \(\times\)  ~ 0,001
\item   384,3  ~ \(\times\)  ~ 0,001
\item   961,9  ~ \(\times\)  ~ 0,001
\item   95,19  ~ \(\times\)  ~ 0,1
\item   496,7  ~ \(\times\)  ~ 0,1
\item   45,3  ~ \(\times\)  ~ 0,01
\item   98,6  ~ \(\times\)  ~ 0,1
\item   3,515  ~ \(\times\)  ~ 0,1
\item   52,82  ~ \(\times\)  ~ 0,01
\item   4 865  ~ \(\times\)  ~ 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   275,3  ~ \(\times\)  ~ ... ~ = ~  0,275 3
\item   3 482  ~ \(\times\)  ~ ... ~ = ~  34,82
\item   6,053  ~ \(\times\)  ~ ... ~ = ~  0,060 53
\item   5,496  ~ \(\times\)  ~ ... ~ = ~  0,054 96
\item   382,6  ~ \(\times\)  ~ ... ~ = ~  38,26
\item   481,9  ~ \(\times\)  ~ ... ~ = ~  4,819
\item   2 661  ~ \(\times\)  ~ ... ~ = ~  266,1
\item   25,7  ~ \(\times\)  ~ ... ~ = ~  2,57
\item   2,225  ~ \(\times\)  ~ ... ~ = ~  0,002 225
\item   322  ~ \(\times\)  ~ ... ~ = ~  3,22
\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~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 595,4 ~hg~ = ...~g
\item   857,48 ~kL~ = ...~L
\item   674,09 ~kL~ = ...~hL
\item   7 068,9 ~dg~ = ...~hg
\item   686,27 ~dg~ = ...~cg
\item   928,31 ~km~ = ...~mm
\item   4 541 ~dL~ = ...~cL
\item   195,2 ~daL~ = ...~L
\item   8 335,4 ~mL~ = ...~kL
\item   2 494,3 ~cm~ = ...~dam
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 = \(\dfrac{50}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{2700}{100}\) = \(\dfrac{270}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{82}{10}\) = \(\dfrac{820}{100}\)
\item   \(\dfrac{67}{100}\) = \(\dfrac{670}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 35 800}
\item   0,474  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 474}
\item   0,441  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,41}
\item   0,002  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,2}
\item   452  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 45 200}
\item   0,604  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,04}
\item   9,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 97}
\item   0,388  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 388}
\item   0,083  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,3}
\item   0,89  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 89}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   603,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,603 1}
\item   9,198 ~ : ~ 10 ~ = ~{\color{red} 0,919 8}
\item   8 966 ~ : ~ 100 ~ = ~{\color{red} 89,66}
\item   3,182 ~ : ~ 100 ~ = ~{\color{red} 0,031 82}
\item   8 768 ~ : ~ 100 ~ = ~{\color{red} 87,68}
\item   5,927 ~ : ~ 100 ~ = ~{\color{red} 0,059 27}
\item   179,9 ~ : ~ 10 ~ = ~{\color{red} 17,99}
\item   2,622 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 622}
\item   7 017 ~ : ~ 100 ~ = ~{\color{red} 70,17}
\item   513,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,513 1}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   798 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7 980
\item   0,074 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,4
\item   0,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9
\item   0,089 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,9
\item   5,01 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~501
\item   0,07 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7
\item   43,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 330
\item   0,558 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,58
\item   0,091 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,91
\item   0,328 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~32,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   194,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,194 6
}\item   384,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,384 3
}\item   961,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,961 9
}\item   95,19 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,519
}\item   496,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 49,67
}\item   45,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,453
}\item   98,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,86
}\item   3,515 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,351 5
}\item   52,82 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,528 2
}\item   4 865 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,865
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   275,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,275 3
\item   3 482 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 34,82
\item   6,053 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,060 53
\item   5,496 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,054 96
\item   382,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 38,26
\item   481,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,819
\item   2 661 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 266,1
\item   25,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,57
\item   2,225 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 225
\item   322 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,22
\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~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 595,4 ~hg~ = {\color{red}  359 540 }~g
\item   857,48 ~kL~ = {\color{red}  857 480 }~L
\item   674,09 ~kL~ = {\color{red}  6 740,9 }~hL
\item   7 068,9 ~dg~ = {\color{red}  7,068 9 }~hg
\item   686,27 ~dg~ = {\color{red}  6 862,7 }~cg
\item   928,31 ~km~ = {\color{red}  928 310 000 }~mm
\item   4 541 ~dL~ = {\color{red}  45 410 }~cL
\item   195,2 ~daL~ = {\color{red}  1 952 }~L
\item   8 335,4 ~mL~ = {\color{red}  0,008 335 4 }~kL
\item   2 494,3 ~cm~ = {\color{red}  2,494 3 }~dam
\end{itemize}
\end{multicols}
\end{document}
