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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 338}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{74}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{36}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 10
\item   7,65  ~ \(\times\)  ~ 1 000
\item   0,487  ~ \(\times\)  ~ 100
\item   75,4  ~ \(\times\)  ~ 10
\item   645  ~ \(\times\)  ~ 10
\item   0,022  ~ \(\times\)  ~ 100
\item   702  ~ \(\times\)  ~ 100
\item   14,3  ~ \(\times\)  ~ 1 000
\item   79,8  ~ \(\times\)  ~ 100
\item   34,3  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,35  ~ : ~ 100
\item   669,7  ~ : ~ 10
\item   955,7  ~ : ~ 100
\item   7,808  ~ : ~ 100
\item   6,102  ~ : ~ 100
\item   659,2  ~ : ~ 100
\item   7 916  ~ : ~ 100
\item   886,6  ~ : ~ 10
\item   4,668  ~ : ~ 1 000
\item   384,6  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37  ~ \(\times\)  ~ ... ~ = ~ 37 000
\item   7,12  ~ \(\times\)  ~ ... ~ = ~ 7 120
\item   6,59  ~ \(\times\)  ~ ... ~ = ~ 6 590
\item   5,04  ~ \(\times\)  ~ ... ~ = ~ 50,4
\item   4,96  ~ \(\times\)  ~ ... ~ = ~ 49,6
\item   5,3  ~ \(\times\)  ~ ... ~ = ~ 5 300
\item   0,963  ~ \(\times\)  ~ ... ~ = ~ 9,63
\item   29,8  ~ \(\times\)  ~ ... ~ = ~ 2 980
\item   165  ~ \(\times\)  ~ ... ~ = ~ 1 650
\item   0,36  ~ \(\times\)  ~ ... ~ = ~ 3,6
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,752  ~ \(\times\)  ~ 0,1
\item   875,2  ~ \(\times\)  ~ 0,1
\item   3 577  ~ \(\times\)  ~ 0,01
\item   7 835  ~ \(\times\)  ~ 0,001
\item   75,5  ~ \(\times\)  ~ 0,001
\item   61,24  ~ \(\times\)  ~ 0,01
\item   67,62  ~ \(\times\)  ~ 0,1
\item   8 415  ~ \(\times\)  ~ 0,1
\item   8,842  ~ \(\times\)  ~ 0,1
\item   5 969  ~ \(\times\)  ~ 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   3 255  ~ \(\times\)  ~ ... ~ = ~  325,5
\item   593,2  ~ \(\times\)  ~ ... ~ = ~  0,593 2
\item   4 183  ~ \(\times\)  ~ ... ~ = ~  418,3
\item   5 051  ~ \(\times\)  ~ ... ~ = ~  505,1
\item   373,4  ~ \(\times\)  ~ ... ~ = ~  0,373 4
\item   2,91  ~ \(\times\)  ~ ... ~ = ~  0,029 1
\item   83,55  ~ \(\times\)  ~ ... ~ = ~  0,083 55
\item   188,6  ~ \(\times\)  ~ ... ~ = ~  0,188 6
\item   7 774  ~ \(\times\)  ~ ... ~ = ~  7,774
\item   4,27  ~ \(\times\)  ~ ... ~ = ~  0,042 7
\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 ~dam~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   320,34 ~dm~ = ...~m
\item   119,64 ~cg~ = ...~dg
\item   3 536,3 ~dm~ = ...~dam
\item   1 622,8 ~mm~ = ...~dam
\item   7 876,2 ~mm~ = ...~hm
\item   4 171,2 ~dg~ = ...~hg
\item   3 621,5 ~cm~ = ...~mm
\item   7 291,3 ~kL~ = ...~mL
\item   2 922,2 ~L~ = ...~mL
\item   121,45 ~hm~ = ...~cm
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{4600}{100}\) = \(\dfrac{460}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{74}{10}\) = \(\dfrac{740}{100}\)
\item   \(\dfrac{36}{100}\) = \(\dfrac{360}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,086  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,86}
\item   7,65  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 650}
\item   0,487  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 48,7}
\item   75,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 754}
\item   645  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 450}
\item   0,022  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2,2}
\item   702  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 70 200}
\item   14,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 14 300}
\item   79,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 980}
\item   34,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 34 300}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,35 ~ : ~ 100 ~ = ~{\color{red} 0,013 5}
\item   669,7 ~ : ~ 10 ~ = ~{\color{red} 66,97}
\item   955,7 ~ : ~ 100 ~ = ~{\color{red} 9,557}
\item   7,808 ~ : ~ 100 ~ = ~{\color{red} 0,078 08}
\item   6,102 ~ : ~ 100 ~ = ~{\color{red} 0,061 02}
\item   659,2 ~ : ~ 100 ~ = ~{\color{red} 6,592}
\item   7 916 ~ : ~ 100 ~ = ~{\color{red} 79,16}
\item   886,6 ~ : ~ 10 ~ = ~{\color{red} 88,66}
\item   4,668 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 668}
\item   384,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,384 6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   37 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~37 000
\item   7,12 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~7 120
\item   6,59 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 590
\item   5,04 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~50,4
\item   4,96 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~49,6
\item   5,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 300
\item   0,963 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,63
\item   29,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 980
\item   165 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 650
\item   0,36 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,6
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,752 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,275 2
}\item   875,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 87,52
}\item   3 577 ~ \(\times\)  0,01 ~ = ~{\color{red} 35,77
}\item   7 835 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,835
}\item   75,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,075 5
}\item   61,24 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,612 4
}\item   67,62 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,762
}\item   8 415 ~ \(\times\)  0,1 ~ = ~{\color{red} 841,5
}\item   8,842 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,884 2
}\item   5 969 ~ \(\times\)  0,01 ~ = ~{\color{red} 59,69
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 255 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 325,5
\item   593,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,593 2
\item   4 183 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 418,3
\item   5 051 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 505,1
\item   373,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,373 4
\item   2,91 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,029 1
\item   83,55 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,083 55
\item   188,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,188 6
\item   7 774 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,774
\item   4,27 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,042 7
\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 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   320,34 ~dm~ = {\color{red}  32,034 }~m
\item   119,64 ~cg~ = {\color{red}  11,964 }~dg
\item   3 536,3 ~dm~ = {\color{red}  35,363 }~dam
\item   1 622,8 ~mm~ = {\color{red}  0,162 28 }~dam
\item   7 876,2 ~mm~ = {\color{red}  0,078 762 }~hm
\item   4 171,2 ~dg~ = {\color{red}  4,171 2 }~hg
\item   3 621,5 ~cm~ = {\color{red}  36 215 }~mm
\item   7 291,3 ~kL~ = {\color{red}  7 291 300 000 }~mL
\item   2 922,2 ~L~ = {\color{red}  2 922 200 }~mL
\item   121,45 ~hm~ = {\color{red}  1 214 500 }~cm
\end{itemize}
\end{multicols}
\end{document}
