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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 35}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{30}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{47}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,51  ~ \(\times\)  ~ 1 000
\item   0,007  ~ \(\times\)  ~ 100
\item   6,77  ~ \(\times\)  ~ 1 000
\item   0,095  ~ \(\times\)  ~ 10
\item   382  ~ \(\times\)  ~ 1 000
\item   20  ~ \(\times\)  ~ 1 000
\item   5,16  ~ \(\times\)  ~ 1 000
\item   0,34  ~ \(\times\)  ~ 1 000
\item   517  ~ \(\times\)  ~ 10
\item   2,49  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26,74  ~ : ~ 10
\item   9 360  ~ : ~ 100
\item   6 019  ~ : ~ 100
\item   2 735  ~ : ~ 1 000
\item   2,231  ~ : ~ 100
\item   5,392  ~ : ~ 1 000
\item   6 473  ~ : ~ 100
\item   9,845  ~ : ~ 1 000
\item   9 190  ~ : ~ 10
\item   5,617  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,084  ~ \(\times\)  ~ ... ~ = ~ 8,4
\item   88,2  ~ \(\times\)  ~ ... ~ = ~ 8 820
\item   405  ~ \(\times\)  ~ ... ~ = ~ 40 500
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 94
\item   23,3  ~ \(\times\)  ~ ... ~ = ~ 23 300
\item   84,1  ~ \(\times\)  ~ ... ~ = ~ 841
\item   690  ~ \(\times\)  ~ ... ~ = ~ 6 900
\item   12,8  ~ \(\times\)  ~ ... ~ = ~ 128
\item   0,14  ~ \(\times\)  ~ ... ~ = ~ 140
\item   640  ~ \(\times\)  ~ ... ~ = ~ 640 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   773,4  ~ \(\times\)  ~ 0,001
\item   4,888  ~ \(\times\)  ~ 0,001
\item   6 583  ~ \(\times\)  ~ 0,001
\item   64,86  ~ \(\times\)  ~ 0,001
\item   837,8  ~ \(\times\)  ~ 0,01
\item   80,25  ~ \(\times\)  ~ 0,01
\item   17,09  ~ \(\times\)  ~ 0,001
\item   15  ~ \(\times\)  ~ 0,001
\item   7,632  ~ \(\times\)  ~ 0,1
\item   7,499  ~ \(\times\)  ~ 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   39,35  ~ \(\times\)  ~ ... ~ = ~  0,039 35
\item   890,6  ~ \(\times\)  ~ ... ~ = ~  8,906
\item   183  ~ \(\times\)  ~ ... ~ = ~  0,183
\item   5 097  ~ \(\times\)  ~ ... ~ = ~  509,7
\item   7 045  ~ \(\times\)  ~ ... ~ = ~  70,45
\item   5,85  ~ \(\times\)  ~ ... ~ = ~  0,005 85
\item   53,7  ~ \(\times\)  ~ ... ~ = ~  0,053 7
\item   1,792  ~ \(\times\)  ~ ... ~ = ~  0,017 92
\item   8 523  ~ \(\times\)  ~ ... ~ = ~  8,523
\item   865,2  ~ \(\times\)  ~ ... ~ = ~  0,865 2
\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 ~cm~ = ...~dm
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~dam~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 763,1 ~dL~ = ...~cL
\item   513,12 ~dag~ = ...~hg
\item   7 681,9 ~dm~ = ...~dam
\item   8 069,1 ~kL~ = ...~L
\item   8 436,6 ~g~ = ...~kg
\item   285,66 ~m~ = ...~dm
\item   3 853,5 ~mg~ = ...~dag
\item   325,12 ~hL~ = ...~cL
\item   325,43 ~cL~ = ...~daL
\item   8 809,2 ~dam~ = ...~m
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{2700}{100}\) = \(\dfrac{270}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{30}{10}\) = \(\dfrac{300}{100}\)
\item   \(\dfrac{47}{100}\) = \(\dfrac{470}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,51  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 510}
\item   0,007  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,7}
\item   6,77  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 770}
\item   0,095  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,95}
\item   382  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 382 000}
\item   20  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 20 000}
\item   5,16  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 160}
\item   0,34  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 340}
\item   517  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 170}
\item   2,49  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 24,9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26,74 ~ : ~ 10 ~ = ~{\color{red} 2,674}
\item   9 360 ~ : ~ 100 ~ = ~{\color{red} 93,6}
\item   6 019 ~ : ~ 100 ~ = ~{\color{red} 60,19}
\item   2 735 ~ : ~ 1 000 ~ = ~{\color{red} 2,735}
\item   2,231 ~ : ~ 100 ~ = ~{\color{red} 0,022 31}
\item   5,392 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 392}
\item   6 473 ~ : ~ 100 ~ = ~{\color{red} 64,73}
\item   9,845 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 845}
\item   9 190 ~ : ~ 10 ~ = ~{\color{red} 919}
\item   5,617 ~ : ~ 10 ~ = ~{\color{red} 0,561 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,084 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,4
\item   88,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 820
\item   405 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~40 500
\item   0,094 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~94
\item   23,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~23 300
\item   84,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~841
\item   690 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 900
\item   12,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~128
\item   0,14 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~140
\item   640 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~640 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   773,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,773 4
}\item   4,888 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 888
}\item   6 583 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,583
}\item   64,86 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,064 86
}\item   837,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,378
}\item   80,25 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,802 5
}\item   17,09 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,017 09
}\item   15 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,015
}\item   7,632 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,763 2
}\item   7,499 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,749 9
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,039 35
\item   890,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,906
\item   183 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,183
\item   5 097 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 509,7
\item   7 045 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 70,45
\item   5,85 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 85
\item   53,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,053 7
\item   1,792 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,017 92
\item   8 523 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,523
\item   865,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,865 2
\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 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 763,1 ~dL~ = {\color{red}  97 631 }~cL
\item   513,12 ~dag~ = {\color{red}  51,312 }~hg
\item   7 681,9 ~dm~ = {\color{red}  76,819 }~dam
\item   8 069,1 ~kL~ = {\color{red}  8 069 100 }~L
\item   8 436,6 ~g~ = {\color{red}  8,436 6 }~kg
\item   285,66 ~m~ = {\color{red}  2 856,6 }~dm
\item   3 853,5 ~mg~ = {\color{red}  0,385 35 }~dag
\item   325,12 ~hL~ = {\color{red}  3 251 200 }~cL
\item   325,43 ~cL~ = {\color{red}  0,325 43 }~daL
\item   8 809,2 ~dam~ = {\color{red}  88 092 }~m
\end{itemize}
\end{multicols}
\end{document}
