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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 263}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{43}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{28}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,484  ~ \(\times\)  ~ 1 000
\item   905  ~ \(\times\)  ~ 10
\item   5,45  ~ \(\times\)  ~ 1 000
\item   6,41  ~ \(\times\)  ~ 1 000
\item   0,155  ~ \(\times\)  ~ 1 000
\item   0,087  ~ \(\times\)  ~ 1 000
\item   35,1  ~ \(\times\)  ~ 10
\item   7,68  ~ \(\times\)  ~ 1 000
\item   97,4  ~ \(\times\)  ~ 10
\item   2,06  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   327,7  ~ : ~ 1 000
\item   4 768  ~ : ~ 100
\item   3,679  ~ : ~ 10
\item   128,4  ~ : ~ 100
\item   7,682  ~ : ~ 1 000
\item   941  ~ : ~ 10
\item   35,46  ~ : ~ 10
\item   8,995  ~ : ~ 1 000
\item   635,3  ~ : ~ 1 000
\item   1 050  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   80,4  ~ \(\times\)  ~ ... ~ = ~ 8 040
\item   7,78  ~ \(\times\)  ~ ... ~ = ~ 778
\item   0,029  ~ \(\times\)  ~ ... ~ = ~ 29
\item   2,12  ~ \(\times\)  ~ ... ~ = ~ 212
\item   4,3  ~ \(\times\)  ~ ... ~ = ~ 430
\item   6,66  ~ \(\times\)  ~ ... ~ = ~ 666
\item   24,5  ~ \(\times\)  ~ ... ~ = ~ 2 450
\item   486  ~ \(\times\)  ~ ... ~ = ~ 48 600
\item   874  ~ \(\times\)  ~ ... ~ = ~ 8 740
\item   0,044  ~ \(\times\)  ~ ... ~ = ~ 44
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 230  ~ \(\times\)  ~ 0,01
\item   71,29  ~ \(\times\)  ~ 0,001
\item   9,072  ~ \(\times\)  ~ 0,01
\item   839,8  ~ \(\times\)  ~ 0,001
\item   43,64  ~ \(\times\)  ~ 0,1
\item   29,36  ~ \(\times\)  ~ 0,1
\item   2,673  ~ \(\times\)  ~ 0,001
\item   73,97  ~ \(\times\)  ~ 0,001
\item   507  ~ \(\times\)  ~ 0,1
\item   7,492  ~ \(\times\)  ~ 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   2 433  ~ \(\times\)  ~ ... ~ = ~  243,3
\item   846,1  ~ \(\times\)  ~ ... ~ = ~  8,461
\item   207,2  ~ \(\times\)  ~ ... ~ = ~  20,72
\item   432,8  ~ \(\times\)  ~ ... ~ = ~  43,28
\item   0,486  ~ \(\times\)  ~ ... ~ = ~  0,004 86
\item   3 034  ~ \(\times\)  ~ ... ~ = ~  3,034
\item   14,6  ~ \(\times\)  ~ ... ~ = ~  0,014 6
\item   4 293  ~ \(\times\)  ~ ... ~ = ~  4,293
\item   24,25  ~ \(\times\)  ~ ... ~ = ~  0,242 5
\item   780,5  ~ \(\times\)  ~ ... ~ = ~  0,780 5
\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 ~dam~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~dm~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~dm
\item   1 ~dm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   167,76 ~g~ = ...~dag
\item   642,77 ~dm~ = ...~mm
\item   422,11 ~dam~ = ...~hm
\item   517,77 ~mg~ = ...~cg
\item   8 802,8 ~m~ = ...~km
\item   305,77 ~m~ = ...~mm
\item   4 889,4 ~hg~ = ...~kg
\item   526,2 ~km~ = ...~mm
\item   840,5 ~hL~ = ...~L
\item   365,32 ~daL~ = ...~dL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{8800}{100}\) = \(\dfrac{880}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{43}{10}\) = \(\dfrac{430}{100}\)
\item   \(\dfrac{28}{100}\) = \(\dfrac{280}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,484  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 484}
\item   905  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 050}
\item   5,45  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 450}
\item   6,41  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 410}
\item   0,155  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 155}
\item   0,087  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 87}
\item   35,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 351}
\item   7,68  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 680}
\item   97,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 974}
\item   2,06  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 20,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   327,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,327 7}
\item   4 768 ~ : ~ 100 ~ = ~{\color{red} 47,68}
\item   3,679 ~ : ~ 10 ~ = ~{\color{red} 0,367 9}
\item   128,4 ~ : ~ 100 ~ = ~{\color{red} 1,284}
\item   7,682 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 682}
\item   941 ~ : ~ 10 ~ = ~{\color{red} 94,1}
\item   35,46 ~ : ~ 10 ~ = ~{\color{red} 3,546}
\item   8,995 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 995}
\item   635,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,635 3}
\item   1 050 ~ : ~ 1 000 ~ = ~{\color{red} 1,05}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   80,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 040
\item   7,78 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~778
\item   0,029 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~29
\item   2,12 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~212
\item   4,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~430
\item   6,66 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~666
\item   24,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 450
\item   486 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~48 600
\item   874 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8 740
\item   0,044 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~44
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 230 ~ \(\times\)  0,01 ~ = ~{\color{red} 22,3
}\item   71,29 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,071 29
}\item   9,072 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,090 72
}\item   839,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,839 8
}\item   43,64 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,364
}\item   29,36 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,936
}\item   2,673 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 673
}\item   73,97 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,073 97
}\item   507 ~ \(\times\)  0,1 ~ = ~{\color{red} 50,7
}\item   7,492 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,749 2
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 433 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 243,3
\item   846,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,461
\item   207,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 20,72
\item   432,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 43,28
\item   0,486 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,004 86
\item   3 034 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,034
\item   14,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,014 6
\item   4 293 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,293
\item   24,25 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,242 5
\item   780,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,780 5
\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 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   167,76 ~g~ = {\color{red}  16,776 }~dag
\item   642,77 ~dm~ = {\color{red}  64 277 }~mm
\item   422,11 ~dam~ = {\color{red}  42,211 }~hm
\item   517,77 ~mg~ = {\color{red}  51,777 }~cg
\item   8 802,8 ~m~ = {\color{red}  8,802 8 }~km
\item   305,77 ~m~ = {\color{red}  305 770 }~mm
\item   4 889,4 ~hg~ = {\color{red}  488,94 }~kg
\item   526,2 ~km~ = {\color{red}  526 200 000 }~mm
\item   840,5 ~hL~ = {\color{red}  84 050 }~L
\item   365,32 ~daL~ = {\color{red}  36 532 }~dL
\end{itemize}
\end{multicols}
\end{document}
