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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 334}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{57}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,1  ~ \(\times\)  ~ 10
\item   8,61  ~ \(\times\)  ~ 100
\item   888  ~ \(\times\)  ~ 1 000
\item   80  ~ \(\times\)  ~ 10
\item   456  ~ \(\times\)  ~ 10
\item   11,3  ~ \(\times\)  ~ 1 000
\item   2,75  ~ \(\times\)  ~ 1 000
\item   0,06  ~ \(\times\)  ~ 10
\item   0,856  ~ \(\times\)  ~ 1 000
\item   3,6  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   622,3  ~ : ~ 100
\item   2 055  ~ : ~ 100
\item   3,584  ~ : ~ 10
\item   675,1  ~ : ~ 100
\item   2,26  ~ : ~ 10
\item   55,14  ~ : ~ 1 000
\item   5,028  ~ : ~ 10
\item   5 474  ~ : ~ 10
\item   9,598  ~ : ~ 1 000
\item   484,1  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,947  ~ \(\times\)  ~ ... ~ = ~ 94,7
\item   0,053  ~ \(\times\)  ~ ... ~ = ~ 0,53
\item   6,75  ~ \(\times\)  ~ ... ~ = ~ 67,5
\item   0,887  ~ \(\times\)  ~ ... ~ = ~ 887
\item   724  ~ \(\times\)  ~ ... ~ = ~ 724 000
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 42
\item   597  ~ \(\times\)  ~ ... ~ = ~ 59 700
\item   68,9  ~ \(\times\)  ~ ... ~ = ~ 68 900
\item   0,514  ~ \(\times\)  ~ ... ~ = ~ 51,4
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   535,3  ~ \(\times\)  ~ 0,01
\item   9 828  ~ \(\times\)  ~ 0,001
\item   2 444  ~ \(\times\)  ~ 0,001
\item   1 890  ~ \(\times\)  ~ 0,001
\item   0,953  ~ \(\times\)  ~ 0,1
\item   7,504  ~ \(\times\)  ~ 0,1
\item   2 053  ~ \(\times\)  ~ 0,1
\item   9,14  ~ \(\times\)  ~ 0,1
\item   9 469  ~ \(\times\)  ~ 0,1
\item   582,9  ~ \(\times\)  ~ 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   80,03  ~ \(\times\)  ~ ... ~ = ~  0,080 03
\item   8 641  ~ \(\times\)  ~ ... ~ = ~  8,641
\item   828,5  ~ \(\times\)  ~ ... ~ = ~  8,285
\item   9,798  ~ \(\times\)  ~ ... ~ = ~  0,979 8
\item   1 796  ~ \(\times\)  ~ ... ~ = ~  179,6
\item   9 346  ~ \(\times\)  ~ ... ~ = ~  93,46
\item   281,9  ~ \(\times\)  ~ ... ~ = ~  28,19
\item   973,6  ~ \(\times\)  ~ ... ~ = ~  9,736
\item   40,06  ~ \(\times\)  ~ ... ~ = ~  0,400 6
\item   3 883  ~ \(\times\)  ~ ... ~ = ~  388,3
\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~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 763,6 ~cm~ = ...~dm
\item   896,22 ~L~ = ...~dL
\item   948,53 ~dL~ = ...~daL
\item   6 578,8 ~kL~ = ...~L
\item   7 211,1 ~cg~ = ...~dag
\item   581,37 ~hL~ = ...~daL
\item   9 709,3 ~mL~ = ...~cL
\item   546,9 ~L~ = ...~kL
\item   6 727,6 ~kL~ = ...~cL
\item   438,43 ~g~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{6400}{100}\) = \(\dfrac{640}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{57}{10}\) = \(\dfrac{570}{100}\)
\item   \(\dfrac{55}{100}\) = \(\dfrac{550}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 391}
\item   8,61  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 861}
\item   888  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 888 000}
\item   80  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 800}
\item   456  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 560}
\item   11,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 11 300}
\item   2,75  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 750}
\item   0,06  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,6}
\item   0,856  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 856}
\item   3,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 36}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   622,3 ~ : ~ 100 ~ = ~{\color{red} 6,223}
\item   2 055 ~ : ~ 100 ~ = ~{\color{red} 20,55}
\item   3,584 ~ : ~ 10 ~ = ~{\color{red} 0,358 4}
\item   675,1 ~ : ~ 100 ~ = ~{\color{red} 6,751}
\item   2,26 ~ : ~ 10 ~ = ~{\color{red} 0,226}
\item   55,14 ~ : ~ 1 000 ~ = ~{\color{red} 0,055 14}
\item   5,028 ~ : ~ 10 ~ = ~{\color{red} 0,502 8}
\item   5 474 ~ : ~ 10 ~ = ~{\color{red} 547,4}
\item   9,598 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 598}
\item   484,1 ~ : ~ 10 ~ = ~{\color{red} 48,41}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,947 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~94,7
\item   0,053 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,53
\item   6,75 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~67,5
\item   0,887 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~887
\item   724 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~724 000
\item   0,042 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42
\item   597 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~59 700
\item   68,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~68 900
\item   0,514 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~51,4
\item   0,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   535,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,353
}\item   9 828 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,828
}\item   2 444 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,444
}\item   1 890 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,89
}\item   0,953 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,095 3
}\item   7,504 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,750 4
}\item   2 053 ~ \(\times\)  0,1 ~ = ~{\color{red} 205,3
}\item   9,14 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,914
}\item   9 469 ~ \(\times\)  0,1 ~ = ~{\color{red} 946,9
}\item   582,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 58,29
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   80,03 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,080 03
\item   8 641 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,641
\item   828,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,285
\item   9,798 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,979 8
\item   1 796 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 179,6
\item   9 346 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 93,46
\item   281,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 28,19
\item   973,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,736
\item   40,06 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,400 6
\item   3 883 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 388,3
\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~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 763,6 ~cm~ = {\color{red}  376,36 }~dm
\item   896,22 ~L~ = {\color{red}  8 962,2 }~dL
\item   948,53 ~dL~ = {\color{red}  9,485 3 }~daL
\item   6 578,8 ~kL~ = {\color{red}  6 578 800 }~L
\item   7 211,1 ~cg~ = {\color{red}  7,211 1 }~dag
\item   581,37 ~hL~ = {\color{red}  5 813,7 }~daL
\item   9 709,3 ~mL~ = {\color{red}  970,93 }~cL
\item   546,9 ~L~ = {\color{red}  0,546 9 }~kL
\item   6 727,6 ~kL~ = {\color{red}  672 760 000 }~cL
\item   438,43 ~g~ = {\color{red}  43 843 }~cg
\end{itemize}
\end{multicols}
\end{document}
