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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 236}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{59}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,078  ~ \(\times\)  ~ 100
\item   58,6  ~ \(\times\)  ~ 1 000
\item   7,23  ~ \(\times\)  ~ 100
\item   7,56  ~ \(\times\)  ~ 100
\item   14,5  ~ \(\times\)  ~ 10
\item   88,8  ~ \(\times\)  ~ 1 000
\item   957  ~ \(\times\)  ~ 100
\item   981  ~ \(\times\)  ~ 10
\item   1,08  ~ \(\times\)  ~ 10
\item   221  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,03  ~ : ~ 100
\item   756,2  ~ : ~ 10
\item   282,9  ~ : ~ 1 000
\item   813,5  ~ : ~ 1 000
\item   5,487  ~ : ~ 100
\item   65,32  ~ : ~ 1 000
\item   859,3  ~ : ~ 10
\item   103,8  ~ : ~ 1 000
\item   44,31  ~ : ~ 1 000
\item   86,1  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,511  ~ \(\times\)  ~ ... ~ = ~ 511
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 9,4
\item   0,64  ~ \(\times\)  ~ ... ~ = ~ 64
\item   194  ~ \(\times\)  ~ ... ~ = ~ 194 000
\item   0,06  ~ \(\times\)  ~ ... ~ = ~ 60
\item   0,103  ~ \(\times\)  ~ ... ~ = ~ 103
\item   0,635  ~ \(\times\)  ~ ... ~ = ~ 635
\item   607  ~ \(\times\)  ~ ... ~ = ~ 607 000
\item   7,17  ~ \(\times\)  ~ ... ~ = ~ 717
\item   0,353  ~ \(\times\)  ~ ... ~ = ~ 35,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   120,7  ~ \(\times\)  ~ 0,001
\item   9 195  ~ \(\times\)  ~ 0,001
\item   35,3  ~ \(\times\)  ~ 0,1
\item   6 432  ~ \(\times\)  ~ 0,01
\item   35,71  ~ \(\times\)  ~ 0,1
\item   635,7  ~ \(\times\)  ~ 0,1
\item   338  ~ \(\times\)  ~ 0,1
\item   1 458  ~ \(\times\)  ~ 0,01
\item   728,9  ~ \(\times\)  ~ 0,001
\item   4 313  ~ \(\times\)  ~ 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   828,3  ~ \(\times\)  ~ ... ~ = ~  0,828 3
\item   6 630  ~ \(\times\)  ~ ... ~ = ~  6,63
\item   96,35  ~ \(\times\)  ~ ... ~ = ~  0,963 5
\item   28,43  ~ \(\times\)  ~ ... ~ = ~  0,284 3
\item   3,673  ~ \(\times\)  ~ ... ~ = ~  0,003 673
\item   386,2  ~ \(\times\)  ~ ... ~ = ~  38,62
\item   5,735  ~ \(\times\)  ~ ... ~ = ~  0,005 735
\item   215,1  ~ \(\times\)  ~ ... ~ = ~  0,215 1
\item   4 701  ~ \(\times\)  ~ ... ~ = ~  47,01
\item   41,8  ~ \(\times\)  ~ ... ~ = ~  4,18
\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~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   470,83 ~g~ = ...~dg
\item   2 859,3 ~kL~ = ...~dL
\item   2 513,4 ~cg~ = ...~dag
\item   646,17 ~mg~ = ...~kg
\item   2 326,1 ~km~ = ...~dam
\item   2 190,5 ~m~ = ...~mm
\item   1 130,9 ~km~ = ...~hm
\item   7 531 ~hg~ = ...~dg
\item   324,57 ~hL~ = ...~kL
\item   210,15 ~g~ = ...~hg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 = \(\dfrac{60}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{560}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{59}{10}\) = \(\dfrac{590}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{300}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,078  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,8}
\item   58,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 58 600}
\item   7,23  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 723}
\item   7,56  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 756}
\item   14,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 145}
\item   88,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 88 800}
\item   957  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 95 700}
\item   981  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 810}
\item   1,08  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 10,8}
\item   221  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 22 100}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   46,03 ~ : ~ 100 ~ = ~{\color{red} 0,460 3}
\item   756,2 ~ : ~ 10 ~ = ~{\color{red} 75,62}
\item   282,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,282 9}
\item   813,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,813 5}
\item   5,487 ~ : ~ 100 ~ = ~{\color{red} 0,054 87}
\item   65,32 ~ : ~ 1 000 ~ = ~{\color{red} 0,065 32}
\item   859,3 ~ : ~ 10 ~ = ~{\color{red} 85,93}
\item   103,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,103 8}
\item   44,31 ~ : ~ 1 000 ~ = ~{\color{red} 0,044 31}
\item   86,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,086 1}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,511 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~511
\item   0,094 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,4
\item   0,64 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~64
\item   194 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~194 000
\item   0,06 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~60
\item   0,103 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~103
\item   0,635 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~635
\item   607 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~607 000
\item   7,17 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~717
\item   0,353 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~35,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   120,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,120 7
}\item   9 195 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,195
}\item   35,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,53
}\item   6 432 ~ \(\times\)  0,01 ~ = ~{\color{red} 64,32
}\item   35,71 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,571
}\item   635,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 63,57
}\item   338 ~ \(\times\)  0,1 ~ = ~{\color{red} 33,8
}\item   1 458 ~ \(\times\)  0,01 ~ = ~{\color{red} 14,58
}\item   728,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,728 9
}\item   4 313 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,313
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   828,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,828 3
\item   6 630 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,63
\item   96,35 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,963 5
\item   28,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,284 3
\item   3,673 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 673
\item   386,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 38,62
\item   5,735 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 735
\item   215,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,215 1
\item   4 701 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 47,01
\item   41,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,18
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   470,83 ~g~ = {\color{red}  4 708,3 }~dg
\item   2 859,3 ~kL~ = {\color{red}  28 593 000 }~dL
\item   2 513,4 ~cg~ = {\color{red}  2,513 4 }~dag
\item   646,17 ~mg~ = {\color{red}  0,000 646 17 }~kg
\item   2 326,1 ~km~ = {\color{red}  232 610 }~dam
\item   2 190,5 ~m~ = {\color{red}  2 190 500 }~mm
\item   1 130,9 ~km~ = {\color{red}  11 309 }~hm
\item   7 531 ~hg~ = {\color{red}  7 531 000 }~dg
\item   324,57 ~hL~ = {\color{red}  32,457 }~kL
\item   210,15 ~g~ = {\color{red}  2,101 5 }~hg
\end{itemize}
\end{multicols}
\end{document}
