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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 162}

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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{63}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{74}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,08  ~ \(\times\)  ~ 100
\item   0,469  ~ \(\times\)  ~ 10
\item   196  ~ \(\times\)  ~ 100
\item   8,14  ~ \(\times\)  ~ 1 000
\item   0,094  ~ \(\times\)  ~ 10
\item   0,048  ~ \(\times\)  ~ 10
\item   6,74  ~ \(\times\)  ~ 10
\item   0,159  ~ \(\times\)  ~ 100
\item   821  ~ \(\times\)  ~ 10
\item   94,5  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 951  ~ : ~ 1 000
\item   1,933  ~ : ~ 1 000
\item   425,8  ~ : ~ 1 000
\item   452,2  ~ : ~ 100
\item   41,42  ~ : ~ 100
\item   31,88  ~ : ~ 1 000
\item   3 984  ~ : ~ 100
\item   61,2  ~ : ~ 10
\item   51,72  ~ : ~ 1 000
\item   8,044  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85  ~ \(\times\)  ~ ... ~ = ~ 850
\item   0,669  ~ \(\times\)  ~ ... ~ = ~ 669
\item   0,325  ~ \(\times\)  ~ ... ~ = ~ 325
\item   4,29  ~ \(\times\)  ~ ... ~ = ~ 429
\item   6,11  ~ \(\times\)  ~ ... ~ = ~ 611
\item   91,7  ~ \(\times\)  ~ ... ~ = ~ 917
\item   0,834  ~ \(\times\)  ~ ... ~ = ~ 834
\item   76,8  ~ \(\times\)  ~ ... ~ = ~ 768
\item   0,008  ~ \(\times\)  ~ ... ~ = ~ 0,08
\item   5,76  ~ \(\times\)  ~ ... ~ = ~ 576
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,87  ~ \(\times\)  ~ 0,001
\item   776,2  ~ \(\times\)  ~ 0,001
\item   972  ~ \(\times\)  ~ 0,001
\item   4,369  ~ \(\times\)  ~ 0,001
\item   6,865  ~ \(\times\)  ~ 0,1
\item   7,077  ~ \(\times\)  ~ 0,1
\item   8 797  ~ \(\times\)  ~ 0,001
\item   2 918  ~ \(\times\)  ~ 0,01
\item   4 564  ~ \(\times\)  ~ 0,1
\item   833,9  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,69  ~ \(\times\)  ~ ... ~ = ~  0,003 69
\item   3,004  ~ \(\times\)  ~ ... ~ = ~  0,300 4
\item   52,65  ~ \(\times\)  ~ ... ~ = ~  0,526 5
\item   71,73  ~ \(\times\)  ~ ... ~ = ~  7,173
\item   0,24  ~ \(\times\)  ~ ... ~ = ~  0,002 4
\item   0,614  ~ \(\times\)  ~ ... ~ = ~  0,000 614
\item   912,3  ~ \(\times\)  ~ ... ~ = ~  91,23
\item   4,114  ~ \(\times\)  ~ ... ~ = ~  0,004 114
\item   113,6  ~ \(\times\)  ~ ... ~ = ~  1,136
\item   55,16  ~ \(\times\)  ~ ... ~ = ~  0,551 6
\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~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~km~ = ...~dm
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 428,4 ~cL~ = ...~dL
\item   8 270 ~m~ = ...~cm
\item   289,52 ~daL~ = ...~L
\item   372,33 ~dm~ = ...~hm
\item   778,5 ~dam~ = ...~cm
\item   9 082,7 ~km~ = ...~cm
\item   689,39 ~hm~ = ...~dam
\item   7 011,2 ~cL~ = ...~hL
\item   694,49 ~cg~ = ...~hg
\item   875,91 ~dL~ = ...~mL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{7500}{100}\) = \(\dfrac{750}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{63}{10}\) = \(\dfrac{630}{100}\)
\item   \(\dfrac{74}{100}\) = \(\dfrac{740}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,08  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8}
\item   0,469  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,69}
\item   196  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 19 600}
\item   8,14  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 140}
\item   0,094  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,94}
\item   0,048  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,48}
\item   6,74  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 67,4}
\item   0,159  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 15,9}
\item   821  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 210}
\item   94,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 94 500}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 951 ~ : ~ 1 000 ~ = ~{\color{red} 2,951}
\item   1,933 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 933}
\item   425,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,425 8}
\item   452,2 ~ : ~ 100 ~ = ~{\color{red} 4,522}
\item   41,42 ~ : ~ 100 ~ = ~{\color{red} 0,414 2}
\item   31,88 ~ : ~ 1 000 ~ = ~{\color{red} 0,031 88}
\item   3 984 ~ : ~ 100 ~ = ~{\color{red} 39,84}
\item   61,2 ~ : ~ 10 ~ = ~{\color{red} 6,12}
\item   51,72 ~ : ~ 1 000 ~ = ~{\color{red} 0,051 72}
\item   8,044 ~ : ~ 100 ~ = ~{\color{red} 0,080 44}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   85 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~850
\item   0,669 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~669
\item   0,325 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~325
\item   4,29 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~429
\item   6,11 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~611
\item   91,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~917
\item   0,834 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~834
\item   76,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~768
\item   0,008 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,08
\item   5,76 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~576
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37,87 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,037 87
}\item   776,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,776 2
}\item   972 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,972
}\item   4,369 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 369
}\item   6,865 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,686 5
}\item   7,077 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,707 7
}\item   8 797 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,797
}\item   2 918 ~ \(\times\)  0,01 ~ = ~{\color{red} 29,18
}\item   4 564 ~ \(\times\)  0,1 ~ = ~{\color{red} 456,4
}\item   833,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,339
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,69 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 69
\item   3,004 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,300 4
\item   52,65 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,526 5
\item   71,73 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,173
\item   0,24 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,002 4
\item   0,614 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 614
\item   912,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 91,23
\item   4,114 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 114
\item   113,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,136
\item   55,16 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,551 6
\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}  100 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 428,4 ~cL~ = {\color{red}  242,84 }~dL
\item   8 270 ~m~ = {\color{red}  827 000 }~cm
\item   289,52 ~daL~ = {\color{red}  2 895,2 }~L
\item   372,33 ~dm~ = {\color{red}  0,372 33 }~hm
\item   778,5 ~dam~ = {\color{red}  778 500 }~cm
\item   9 082,7 ~km~ = {\color{red}  908 270 000 }~cm
\item   689,39 ~hm~ = {\color{red}  6 893,9 }~dam
\item   7 011,2 ~cL~ = {\color{red}  0,701 12 }~hL
\item   694,49 ~cg~ = {\color{red}  0,069 449 }~hg
\item   875,91 ~dL~ = {\color{red}  87 591 }~mL
\end{itemize}
\end{multicols}
\end{document}
