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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 95}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{12}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   624  ~ \(\times\)  ~ 1 000
\item   29,2  ~ \(\times\)  ~ 10
\item   0,059  ~ \(\times\)  ~ 1 000
\item   208  ~ \(\times\)  ~ 100
\item   0,296  ~ \(\times\)  ~ 100
\item   16,6  ~ \(\times\)  ~ 10
\item   4,1  ~ \(\times\)  ~ 1 000
\item   0,019  ~ \(\times\)  ~ 100
\item   6,18  ~ \(\times\)  ~ 1 000
\item   68,3  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,08  ~ : ~ 1 000
\item   77,97  ~ : ~ 10
\item   4,98  ~ : ~ 1 000
\item   87,85  ~ : ~ 100
\item   618,1  ~ : ~ 100
\item   6 335  ~ : ~ 10
\item   1 440  ~ : ~ 10
\item   3,609  ~ : ~ 10
\item   8,554  ~ : ~ 1 000
\item   949,6  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,703  ~ \(\times\)  ~ ... ~ = ~ 703
\item   0,669  ~ \(\times\)  ~ ... ~ = ~ 6,69
\item   0,06  ~ \(\times\)  ~ ... ~ = ~ 0,6
\item   0,472  ~ \(\times\)  ~ ... ~ = ~ 4,72
\item   5,97  ~ \(\times\)  ~ ... ~ = ~ 597
\item   0,04  ~ \(\times\)  ~ ... ~ = ~ 0,4
\item   29,1  ~ \(\times\)  ~ ... ~ = ~ 291
\item   796  ~ \(\times\)  ~ ... ~ = ~ 7 960
\item   0,058  ~ \(\times\)  ~ ... ~ = ~ 0,58
\item   102  ~ \(\times\)  ~ ... ~ = ~ 1 020
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 407  ~ \(\times\)  ~ 0,01
\item   489,8  ~ \(\times\)  ~ 0,001
\item   674,4  ~ \(\times\)  ~ 0,1
\item   8 900  ~ \(\times\)  ~ 0,001
\item   604,3  ~ \(\times\)  ~ 0,1
\item   4,908  ~ \(\times\)  ~ 0,01
\item   6,997  ~ \(\times\)  ~ 0,1
\item   8,447  ~ \(\times\)  ~ 0,001
\item   7,703  ~ \(\times\)  ~ 0,1
\item   84,24  ~ \(\times\)  ~ 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   4 202  ~ \(\times\)  ~ ... ~ = ~  42,02
\item   3,738  ~ \(\times\)  ~ ... ~ = ~  0,373 8
\item   5 365  ~ \(\times\)  ~ ... ~ = ~  536,5
\item   27,87  ~ \(\times\)  ~ ... ~ = ~  2,787
\item   1 596  ~ \(\times\)  ~ ... ~ = ~  1,596
\item   6,371  ~ \(\times\)  ~ ... ~ = ~  0,637 1
\item   5,458  ~ \(\times\)  ~ ... ~ = ~  0,054 58
\item   85,88  ~ \(\times\)  ~ ... ~ = ~  8,588
\item   16,36  ~ \(\times\)  ~ ... ~ = ~  0,163 6
\item   884,8  ~ \(\times\)  ~ ... ~ = ~  88,48
\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~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 406,4 ~km~ = ...~hm
\item   445,04 ~mm~ = ...~dam
\item   465,81 ~L~ = ...~hL
\item   436,94 ~dL~ = ...~hL
\item   3 651,4 ~hL~ = ...~cL
\item   889,44 ~m~ = ...~hm
\item   462,59 ~dm~ = ...~dam
\item   9 470,2 ~dm~ = ...~hm
\item   3 734,7 ~dg~ = ...~hg
\item   175,73 ~cg~ = ...~dag
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{7400}{100}\) = \(\dfrac{740}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{280}{100}\)
\item   \(\dfrac{12}{100}\) = \(\dfrac{120}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   624  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 624 000}
\item   29,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 292}
\item   0,059  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 59}
\item   208  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 20 800}
\item   0,296  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 29,6}
\item   16,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 166}
\item   4,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 100}
\item   0,019  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,9}
\item   6,18  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 180}
\item   68,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 683}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,08 ~ : ~ 1 000 ~ = ~{\color{red} 0,017 08}
\item   77,97 ~ : ~ 10 ~ = ~{\color{red} 7,797}
\item   4,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 98}
\item   87,85 ~ : ~ 100 ~ = ~{\color{red} 0,878 5}
\item   618,1 ~ : ~ 100 ~ = ~{\color{red} 6,181}
\item   6 335 ~ : ~ 10 ~ = ~{\color{red} 633,5}
\item   1 440 ~ : ~ 10 ~ = ~{\color{red} 144}
\item   3,609 ~ : ~ 10 ~ = ~{\color{red} 0,360 9}
\item   8,554 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 554}
\item   949,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,949 6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,703 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~703
\item   0,669 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,69
\item   0,06 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,6
\item   0,472 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,72
\item   5,97 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~597
\item   0,04 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,4
\item   29,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~291
\item   796 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7 960
\item   0,058 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,58
\item   102 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 020
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 407 ~ \(\times\)  0,01 ~ = ~{\color{red} 74,07
}\item   489,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,489 8
}\item   674,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 67,44
}\item   8 900 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,9
}\item   604,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 60,43
}\item   4,908 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,049 08
}\item   6,997 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,699 7
}\item   8,447 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 447
}\item   7,703 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,770 3
}\item   84,24 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,424
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 202 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 42,02
\item   3,738 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,373 8
\item   5 365 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 536,5
\item   27,87 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,787
\item   1 596 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,596
\item   6,371 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,637 1
\item   5,458 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,054 58
\item   85,88 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,588
\item   16,36 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,163 6
\item   884,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 88,48
\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}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 406,4 ~km~ = {\color{red}  34 064 }~hm
\item   445,04 ~mm~ = {\color{red}  0,044 504 }~dam
\item   465,81 ~L~ = {\color{red}  4,658 1 }~hL
\item   436,94 ~dL~ = {\color{red}  0,436 94 }~hL
\item   3 651,4 ~hL~ = {\color{red}  36 514 000 }~cL
\item   889,44 ~m~ = {\color{red}  8,894 4 }~hm
\item   462,59 ~dm~ = {\color{red}  4,625 9 }~dam
\item   9 470,2 ~dm~ = {\color{red}  9,470 2 }~hm
\item   3 734,7 ~dg~ = {\color{red}  3,734 7 }~hg
\item   175,73 ~cg~ = {\color{red}  0,175 73 }~dag
\end{itemize}
\end{multicols}
\end{document}
