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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 352}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{86}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,209  ~ \(\times\)  ~ 10
\item   0,023  ~ \(\times\)  ~ 100
\item   742  ~ \(\times\)  ~ 10
\item   12,6  ~ \(\times\)  ~ 10
\item   8,94  ~ \(\times\)  ~ 100
\item   0,091  ~ \(\times\)  ~ 10
\item   1,14  ~ \(\times\)  ~ 10
\item   0,069  ~ \(\times\)  ~ 1 000
\item   926  ~ \(\times\)  ~ 100
\item   45,5  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 503  ~ : ~ 100
\item   4 825  ~ : ~ 100
\item   575,4  ~ : ~ 1 000
\item   555,3  ~ : ~ 1 000
\item   6 139  ~ : ~ 1 000
\item   42,6  ~ : ~ 10
\item   5,937  ~ : ~ 10
\item   5 575  ~ : ~ 100
\item   5 005  ~ : ~ 100
\item   50,9  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   435  ~ \(\times\)  ~ ... ~ = ~ 4 350
\item   0,067  ~ \(\times\)  ~ ... ~ = ~ 67
\item   0,099  ~ \(\times\)  ~ ... ~ = ~ 0,99
\item   6,6  ~ \(\times\)  ~ ... ~ = ~ 660
\item   0,784  ~ \(\times\)  ~ ... ~ = ~ 78,4
\item   76,7  ~ \(\times\)  ~ ... ~ = ~ 767
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 0,9
\item   95,3  ~ \(\times\)  ~ ... ~ = ~ 9 530
\item   20,4  ~ \(\times\)  ~ ... ~ = ~ 20 400
\item   0,144  ~ \(\times\)  ~ ... ~ = ~ 144
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 389  ~ \(\times\)  ~ 0,01
\item   49,26  ~ \(\times\)  ~ 0,01
\item   5 491  ~ \(\times\)  ~ 0,001
\item   980  ~ \(\times\)  ~ 0,001
\item   1,201  ~ \(\times\)  ~ 0,1
\item   5,2  ~ \(\times\)  ~ 0,001
\item   13,04  ~ \(\times\)  ~ 0,01
\item   794,6  ~ \(\times\)  ~ 0,1
\item   87,7  ~ \(\times\)  ~ 0,01
\item   29,79  ~ \(\times\)  ~ 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   185,4  ~ \(\times\)  ~ ... ~ = ~  1,854
\item   754,2  ~ \(\times\)  ~ ... ~ = ~  0,754 2
\item   3,689  ~ \(\times\)  ~ ... ~ = ~  0,368 9
\item   2,12  ~ \(\times\)  ~ ... ~ = ~  0,002 12
\item   749,8  ~ \(\times\)  ~ ... ~ = ~  74,98
\item   7,419  ~ \(\times\)  ~ ... ~ = ~  0,741 9
\item   849  ~ \(\times\)  ~ ... ~ = ~  0,849
\item   92,18  ~ \(\times\)  ~ ... ~ = ~  0,092 18
\item   498,8  ~ \(\times\)  ~ ... ~ = ~  4,988
\item   8,171  ~ \(\times\)  ~ ... ~ = ~  0,081 71
\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~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~m~ = ...~km
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~m
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   412,91 ~cm~ = ...~mm
\item   834,76 ~dag~ = ...~mg
\item   836,26 ~cL~ = ...~mL
\item   1 464,2 ~cm~ = ...~dm
\item   4 847,7 ~m~ = ...~cm
\item   4 657,6 ~kL~ = ...~cL
\item   4 027,1 ~dam~ = ...~m
\item   752,36 ~dL~ = ...~hL
\item   1 493,6 ~L~ = ...~daL
\item   4 064 ~mg~ = ...~kg
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{1900}{100}\) = \(\dfrac{190}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{280}{100}\)
\item   \(\dfrac{86}{100}\) = \(\dfrac{860}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,209  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2,09}
\item   0,023  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,3}
\item   742  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 420}
\item   12,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 126}
\item   8,94  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 894}
\item   0,091  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,91}
\item   1,14  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 11,4}
\item   0,069  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 69}
\item   926  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 92 600}
\item   45,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 45 500}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 503 ~ : ~ 100 ~ = ~{\color{red} 45,03}
\item   4 825 ~ : ~ 100 ~ = ~{\color{red} 48,25}
\item   575,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,575 4}
\item   555,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,555 3}
\item   6 139 ~ : ~ 1 000 ~ = ~{\color{red} 6,139}
\item   42,6 ~ : ~ 10 ~ = ~{\color{red} 4,26}
\item   5,937 ~ : ~ 10 ~ = ~{\color{red} 0,593 7}
\item   5 575 ~ : ~ 100 ~ = ~{\color{red} 55,75}
\item   5 005 ~ : ~ 100 ~ = ~{\color{red} 50,05}
\item   50,9 ~ : ~ 10 ~ = ~{\color{red} 5,09}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   435 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 350
\item   0,067 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~67
\item   0,099 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,99
\item   6,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~660
\item   0,784 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~78,4
\item   76,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~767
\item   0,09 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,9
\item   95,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 530
\item   20,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~20 400
\item   0,144 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~144
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 389 ~ \(\times\)  0,01 ~ = ~{\color{red} 73,89
}\item   49,26 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,492 6
}\item   5 491 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,491
}\item   980 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,98
}\item   1,201 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,120 1
}\item   5,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 2
}\item   13,04 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,130 4
}\item   794,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 79,46
}\item   87,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,877
}\item   29,79 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,979
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   185,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 1,854
\item   754,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,754 2
\item   3,689 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,368 9
\item   2,12 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 12
\item   749,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 74,98
\item   7,419 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,741 9
\item   849 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,849
\item   92,18 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,092 18
\item   498,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,988
\item   8,171 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,081 71
\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 ~ }hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   412,91 ~cm~ = {\color{red}  4 129,1 }~mm
\item   834,76 ~dag~ = {\color{red}  8 347 600 }~mg
\item   836,26 ~cL~ = {\color{red}  8 362,6 }~mL
\item   1 464,2 ~cm~ = {\color{red}  146,42 }~dm
\item   4 847,7 ~m~ = {\color{red}  484 770 }~cm
\item   4 657,6 ~kL~ = {\color{red}  465 760 000 }~cL
\item   4 027,1 ~dam~ = {\color{red}  40 271 }~m
\item   752,36 ~dL~ = {\color{red}  0,752 36 }~hL
\item   1 493,6 ~L~ = {\color{red}  149,36 }~daL
\item   4 064 ~mg~ = {\color{red}  0,004 064 }~kg
\end{itemize}
\end{multicols}
\end{document}
