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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 57}

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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{76}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,337  ~ \(\times\)  ~ 100
\item   0,456  ~ \(\times\)  ~ 10
\item   89,5  ~ \(\times\)  ~ 1 000
\item   0,094  ~ \(\times\)  ~ 100
\item   0,396  ~ \(\times\)  ~ 10
\item   0,068  ~ \(\times\)  ~ 1 000
\item   0,051  ~ \(\times\)  ~ 100
\item   0,084  ~ \(\times\)  ~ 10
\item   58,7  ~ \(\times\)  ~ 10
\item   0,04  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,706  ~ : ~ 1 000
\item   2,997  ~ : ~ 100
\item   953,1  ~ : ~ 10
\item   4,666  ~ : ~ 1 000
\item   3,666  ~ : ~ 100
\item   0,311  ~ : ~ 100
\item   0,429  ~ : ~ 10
\item   5,694  ~ : ~ 1 000
\item   0,847  ~ : ~ 1 000
\item   9 479  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 9
\item   3,83  ~ \(\times\)  ~ ... ~ = ~ 3 830
\item   6,18  ~ \(\times\)  ~ ... ~ = ~ 61,8
\item   49,1  ~ \(\times\)  ~ ... ~ = ~ 491
\item   0,066  ~ \(\times\)  ~ ... ~ = ~ 6,6
\item   72,9  ~ \(\times\)  ~ ... ~ = ~ 729
\item   0,273  ~ \(\times\)  ~ ... ~ = ~ 2,73
\item   0,016  ~ \(\times\)  ~ ... ~ = ~ 16
\item   46  ~ \(\times\)  ~ ... ~ = ~ 460
\item   2,87  ~ \(\times\)  ~ ... ~ = ~ 28,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   265,4  ~ \(\times\)  ~ 0,001
\item   78,9  ~ \(\times\)  ~ 0,1
\item   185,9  ~ \(\times\)  ~ 0,001
\item   742,1  ~ \(\times\)  ~ 0,1
\item   741,5  ~ \(\times\)  ~ 0,001
\item   9,234  ~ \(\times\)  ~ 0,1
\item   6,957  ~ \(\times\)  ~ 0,1
\item   666,9  ~ \(\times\)  ~ 0,001
\item   1 871  ~ \(\times\)  ~ 0,1
\item   2 441  ~ \(\times\)  ~ 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   7 385  ~ \(\times\)  ~ ... ~ = ~  738,5
\item   95,13  ~ \(\times\)  ~ ... ~ = ~  0,095 13
\item   32,06  ~ \(\times\)  ~ ... ~ = ~  0,032 06
\item   5,336  ~ \(\times\)  ~ ... ~ = ~  0,053 36
\item   6,351  ~ \(\times\)  ~ ... ~ = ~  0,635 1
\item   63,76  ~ \(\times\)  ~ ... ~ = ~  0,637 6
\item   661,4  ~ \(\times\)  ~ ... ~ = ~  6,614
\item   9 374  ~ \(\times\)  ~ ... ~ = ~  9,374
\item   8,034  ~ \(\times\)  ~ ... ~ = ~  0,803 4
\item   7 210  ~ \(\times\)  ~ ... ~ = ~  7,21
\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~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~km~ = ...~cm
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 915 ~mm~ = ...~km
\item   525,98 ~hm~ = ...~km
\item   935,92 ~mg~ = ...~dag
\item   339,35 ~km~ = ...~m
\item   773,27 ~dL~ = ...~daL
\item   1 651,4 ~hm~ = ...~mm
\item   727,45 ~daL~ = ...~mL
\item   7 199 ~dag~ = ...~hg
\item   3 272,1 ~mm~ = ...~dm
\item   802,34 ~mL~ = ...~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   1 = \(\dfrac{10}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{8600}{100}\) = \(\dfrac{860}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{390}{100}\)
\item   \(\dfrac{76}{100}\) = \(\dfrac{760}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,337  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 33,7}
\item   0,456  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,56}
\item   89,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 89 500}
\item   0,094  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,4}
\item   0,396  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,96}
\item   0,068  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 68}
\item   0,051  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,1}
\item   0,084  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,84}
\item   58,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 587}
\item   0,04  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,706 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 706}
\item   2,997 ~ : ~ 100 ~ = ~{\color{red} 0,029 97}
\item   953,1 ~ : ~ 10 ~ = ~{\color{red} 95,31}
\item   4,666 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 666}
\item   3,666 ~ : ~ 100 ~ = ~{\color{red} 0,036 66}
\item   0,311 ~ : ~ 100 ~ = ~{\color{red} 0,003 11}
\item   0,429 ~ : ~ 10 ~ = ~{\color{red} 0,042 9}
\item   5,694 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 694}
\item   0,847 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 847}
\item   9 479 ~ : ~ 100 ~ = ~{\color{red} 94,79}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9
\item   3,83 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 830
\item   6,18 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~61,8
\item   49,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~491
\item   0,066 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,6
\item   72,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~729
\item   0,273 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,73
\item   0,016 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~16
\item   46 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~460
\item   2,87 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~28,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   265,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,265 4
}\item   78,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,89
}\item   185,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,185 9
}\item   742,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 74,21
}\item   741,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,741 5
}\item   9,234 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,923 4
}\item   6,957 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,695 7
}\item   666,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,666 9
}\item   1 871 ~ \(\times\)  0,1 ~ = ~{\color{red} 187,1
}\item   2 441 ~ \(\times\)  0,1 ~ = ~{\color{red} 244,1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 385 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 738,5
\item   95,13 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,095 13
\item   32,06 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,032 06
\item   5,336 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,053 36
\item   6,351 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,635 1
\item   63,76 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,637 6
\item   661,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,614
\item   9 374 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,374
\item   8,034 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,803 4
\item   7 210 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,21
\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~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 915 ~mm~ = {\color{red}  0,006 915 }~km
\item   525,98 ~hm~ = {\color{red}  52,598 }~km
\item   935,92 ~mg~ = {\color{red}  0,093 592 }~dag
\item   339,35 ~km~ = {\color{red}  339 350 }~m
\item   773,27 ~dL~ = {\color{red}  7,732 7 }~daL
\item   1 651,4 ~hm~ = {\color{red}  165 140 000 }~mm
\item   727,45 ~daL~ = {\color{red}  7 274 500 }~mL
\item   7 199 ~dag~ = {\color{red}  719,9 }~hg
\item   3 272,1 ~mm~ = {\color{red}  32,721 }~dm
\item   802,34 ~mL~ = {\color{red}  8,023 4 }~dL
\end{itemize}
\end{multicols}
\end{document}
