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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 161}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{40}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{92}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,613  ~ \(\times\)  ~ 10
\item   0,781  ~ \(\times\)  ~ 100
\item   755  ~ \(\times\)  ~ 100
\item   736  ~ \(\times\)  ~ 100
\item   0,086  ~ \(\times\)  ~ 10
\item   0,621  ~ \(\times\)  ~ 1 000
\item   818  ~ \(\times\)  ~ 10
\item   8,59  ~ \(\times\)  ~ 1 000
\item   0,291  ~ \(\times\)  ~ 100
\item   2,23  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77,06  ~ : ~ 100
\item   2,618  ~ : ~ 10
\item   813,8  ~ : ~ 10
\item   63,44  ~ : ~ 1 000
\item   6 785  ~ : ~ 10
\item   4,458  ~ : ~ 1 000
\item   3,714  ~ : ~ 1 000
\item   6,62  ~ : ~ 1 000
\item   13,57  ~ : ~ 10
\item   87,05  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,158  ~ \(\times\)  ~ ... ~ = ~ 158
\item   224  ~ \(\times\)  ~ ... ~ = ~ 224 000
\item   0,871  ~ \(\times\)  ~ ... ~ = ~ 871
\item   577  ~ \(\times\)  ~ ... ~ = ~ 577 000
\item   19,1  ~ \(\times\)  ~ ... ~ = ~ 19 100
\item   7,81  ~ \(\times\)  ~ ... ~ = ~ 7 810
\item   568  ~ \(\times\)  ~ ... ~ = ~ 568 000
\item   703  ~ \(\times\)  ~ ... ~ = ~ 70 300
\item   2,06  ~ \(\times\)  ~ ... ~ = ~ 20,6
\item   0,488  ~ \(\times\)  ~ ... ~ = ~ 48,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   912,5  ~ \(\times\)  ~ 0,01
\item   216,4  ~ \(\times\)  ~ 0,001
\item   117  ~ \(\times\)  ~ 0,1
\item   6,347  ~ \(\times\)  ~ 0,1
\item   4,55  ~ \(\times\)  ~ 0,1
\item   59,56  ~ \(\times\)  ~ 0,1
\item   944,9  ~ \(\times\)  ~ 0,01
\item   3 090  ~ \(\times\)  ~ 0,1
\item   8 180  ~ \(\times\)  ~ 0,001
\item   6 956  ~ \(\times\)  ~ 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   7 987  ~ \(\times\)  ~ ... ~ = ~  79,87
\item   97,49  ~ \(\times\)  ~ ... ~ = ~  0,974 9
\item   5,623  ~ \(\times\)  ~ ... ~ = ~  0,562 3
\item   919,4  ~ \(\times\)  ~ ... ~ = ~  91,94
\item   52,89  ~ \(\times\)  ~ ... ~ = ~  0,528 9
\item   8,287  ~ \(\times\)  ~ ... ~ = ~  0,828 7
\item   220,3  ~ \(\times\)  ~ ... ~ = ~  22,03
\item   3,35  ~ \(\times\)  ~ ... ~ = ~  0,335
\item   8,166  ~ \(\times\)  ~ ... ~ = ~  0,081 66
\item   9,84  ~ \(\times\)  ~ ... ~ = ~  0,984
\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 ~km~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~cm~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~m
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 374,4 ~kL~ = ...~cL
\item   445,71 ~hL~ = ...~kL
\item   9 211,2 ~dg~ = ...~cg
\item   1 564,3 ~dag~ = ...~hg
\item   5 108,2 ~cg~ = ...~g
\item   2 604,3 ~dL~ = ...~hL
\item   8 776,5 ~hm~ = ...~dm
\item   8 841,9 ~daL~ = ...~hL
\item   5 319,6 ~kg~ = ...~mg
\item   981,88 ~m~ = ...~mm
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{8100}{100}\) = \(\dfrac{810}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{40}{10}\) = \(\dfrac{400}{100}\)
\item   \(\dfrac{92}{100}\) = \(\dfrac{920}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,613  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6,13}
\item   0,781  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 78,1}
\item   755  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 75 500}
\item   736  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 73 600}
\item   0,086  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,86}
\item   0,621  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 621}
\item   818  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 180}
\item   8,59  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 590}
\item   0,291  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29,1}
\item   2,23  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 230}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77,06 ~ : ~ 100 ~ = ~{\color{red} 0,770 6}
\item   2,618 ~ : ~ 10 ~ = ~{\color{red} 0,261 8}
\item   813,8 ~ : ~ 10 ~ = ~{\color{red} 81,38}
\item   63,44 ~ : ~ 1 000 ~ = ~{\color{red} 0,063 44}
\item   6 785 ~ : ~ 10 ~ = ~{\color{red} 678,5}
\item   4,458 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 458}
\item   3,714 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 714}
\item   6,62 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 62}
\item   13,57 ~ : ~ 10 ~ = ~{\color{red} 1,357}
\item   87,05 ~ : ~ 10 ~ = ~{\color{red} 8,705}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,158 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~158
\item   224 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~224 000
\item   0,871 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~871
\item   577 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~577 000
\item   19,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~19 100
\item   7,81 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 810
\item   568 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~568 000
\item   703 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~70 300
\item   2,06 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~20,6
\item   0,488 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~48,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   912,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,125
}\item   216,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,216 4
}\item   117 ~ \(\times\)  0,1 ~ = ~{\color{red} 11,7
}\item   6,347 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,634 7
}\item   4,55 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,455
}\item   59,56 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,956
}\item   944,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,449
}\item   3 090 ~ \(\times\)  0,1 ~ = ~{\color{red} 309
}\item   8 180 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,18
}\item   6 956 ~ \(\times\)  0,01 ~ = ~{\color{red} 69,56
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 987 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 79,87
\item   97,49 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,974 9
\item   5,623 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,562 3
\item   919,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 91,94
\item   52,89 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,528 9
\item   8,287 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,828 7
\item   220,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 22,03
\item   3,35 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,335
\item   8,166 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,081 66
\item   9,84 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,984
\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 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\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   9 374,4 ~kL~ = {\color{red}  937 440 000 }~cL
\item   445,71 ~hL~ = {\color{red}  44,571 }~kL
\item   9 211,2 ~dg~ = {\color{red}  92 112 }~cg
\item   1 564,3 ~dag~ = {\color{red}  156,43 }~hg
\item   5 108,2 ~cg~ = {\color{red}  51,082 }~g
\item   2 604,3 ~dL~ = {\color{red}  2,604 3 }~hL
\item   8 776,5 ~hm~ = {\color{red}  8 776 500 }~dm
\item   8 841,9 ~daL~ = {\color{red}  884,19 }~hL
\item   5 319,6 ~kg~ = {\color{red}  5 319 600 000 }~mg
\item   981,88 ~m~ = {\color{red}  981 880 }~mm
\end{itemize}
\end{multicols}
\end{document}
