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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 392}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{73}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{38}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   33,5  ~ \(\times\)  ~ 1 000
\item   0,73  ~ \(\times\)  ~ 10
\item   6,72  ~ \(\times\)  ~ 1 000
\item   66,4  ~ \(\times\)  ~ 10
\item   745  ~ \(\times\)  ~ 10
\item   480  ~ \(\times\)  ~ 100
\item   3,71  ~ \(\times\)  ~ 1 000
\item   131  ~ \(\times\)  ~ 1 000
\item   132  ~ \(\times\)  ~ 10
\item   79,1  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   347  ~ : ~ 1 000
\item   3 604  ~ : ~ 10
\item   4 476  ~ : ~ 10
\item   47,42  ~ : ~ 10
\item   286,2  ~ : ~ 10
\item   6,176  ~ : ~ 1 000
\item   844,4  ~ : ~ 100
\item   8 578  ~ : ~ 10
\item   14,3  ~ : ~ 1 000
\item   236,8  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,933  ~ \(\times\)  ~ ... ~ = ~ 9,33
\item   4,05  ~ \(\times\)  ~ ... ~ = ~ 4 050
\item   5,47  ~ \(\times\)  ~ ... ~ = ~ 54,7
\item   0,459  ~ \(\times\)  ~ ... ~ = ~ 4,59
\item   0,42  ~ \(\times\)  ~ ... ~ = ~ 420
\item   69,3  ~ \(\times\)  ~ ... ~ = ~ 6 930
\item   86,5  ~ \(\times\)  ~ ... ~ = ~ 8 650
\item   0,081  ~ \(\times\)  ~ ... ~ = ~ 81
\item   26  ~ \(\times\)  ~ ... ~ = ~ 2 600
\item   265  ~ \(\times\)  ~ ... ~ = ~ 2 650
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   45,93  ~ \(\times\)  ~ 0,01
\item   552,4  ~ \(\times\)  ~ 0,001
\item   4,093  ~ \(\times\)  ~ 0,1
\item   9 492  ~ \(\times\)  ~ 0,1
\item   50,18  ~ \(\times\)  ~ 0,01
\item   8 636  ~ \(\times\)  ~ 0,01
\item   6,197  ~ \(\times\)  ~ 0,01
\item   8,955  ~ \(\times\)  ~ 0,01
\item   86,69  ~ \(\times\)  ~ 0,1
\item   192,8  ~ \(\times\)  ~ 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   342,5  ~ \(\times\)  ~ ... ~ = ~  34,25
\item   4,803  ~ \(\times\)  ~ ... ~ = ~  0,004 803
\item   4 467  ~ \(\times\)  ~ ... ~ = ~  44,67
\item   280,4  ~ \(\times\)  ~ ... ~ = ~  0,280 4
\item   9,59  ~ \(\times\)  ~ ... ~ = ~  0,959
\item   8,939  ~ \(\times\)  ~ ... ~ = ~  0,008 939
\item   1,306  ~ \(\times\)  ~ ... ~ = ~  0,001 306
\item   8,154  ~ \(\times\)  ~ ... ~ = ~  0,008 154
\item   317,1  ~ \(\times\)  ~ ... ~ = ~  31,71
\item   2,544  ~ \(\times\)  ~ ... ~ = ~  0,002 544
\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~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   849,4 ~hm~ = ...~cm
\item   998,58 ~cm~ = ...~km
\item   261,08 ~kL~ = ...~daL
\item   488,07 ~km~ = ...~hm
\item   901,81 ~dag~ = ...~cg
\item   198,52 ~hm~ = ...~km
\item   2 029 ~kg~ = ...~hg
\item   9 584,1 ~dL~ = ...~kL
\item   212,36 ~hg~ = ...~kg
\item   816,04 ~daL~ = ...~cL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 = \(\dfrac{80}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{8800}{100}\) = \(\dfrac{880}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{73}{10}\) = \(\dfrac{730}{100}\)
\item   \(\dfrac{38}{100}\) = \(\dfrac{380}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   33,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 33 500}
\item   0,73  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,3}
\item   6,72  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 720}
\item   66,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 664}
\item   745  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7 450}
\item   480  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 48 000}
\item   3,71  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 710}
\item   131  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 131 000}
\item   132  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 320}
\item   79,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 910}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   347 ~ : ~ 1 000 ~ = ~{\color{red} 0,347}
\item   3 604 ~ : ~ 10 ~ = ~{\color{red} 360,4}
\item   4 476 ~ : ~ 10 ~ = ~{\color{red} 447,6}
\item   47,42 ~ : ~ 10 ~ = ~{\color{red} 4,742}
\item   286,2 ~ : ~ 10 ~ = ~{\color{red} 28,62}
\item   6,176 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 176}
\item   844,4 ~ : ~ 100 ~ = ~{\color{red} 8,444}
\item   8 578 ~ : ~ 10 ~ = ~{\color{red} 857,8}
\item   14,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,014 3}
\item   236,8 ~ : ~ 10 ~ = ~{\color{red} 23,68}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,933 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,33
\item   4,05 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 050
\item   5,47 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~54,7
\item   0,459 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,59
\item   0,42 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~420
\item   69,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 930
\item   86,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 650
\item   0,081 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~81
\item   26 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2 600
\item   265 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 650
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   45,93 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,459 3
}\item   552,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,552 4
}\item   4,093 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,409 3
}\item   9 492 ~ \(\times\)  0,1 ~ = ~{\color{red} 949,2
}\item   50,18 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,501 8
}\item   8 636 ~ \(\times\)  0,01 ~ = ~{\color{red} 86,36
}\item   6,197 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,061 97
}\item   8,955 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,089 55
}\item   86,69 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,669
}\item   192,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,928
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   342,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 34,25
\item   4,803 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 803
\item   4 467 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 44,67
\item   280,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,280 4
\item   9,59 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,959
\item   8,939 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 939
\item   1,306 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 306
\item   8,154 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 154
\item   317,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 31,71
\item   2,544 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 544
\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~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   849,4 ~hm~ = {\color{red}  8 494 000 }~cm
\item   998,58 ~cm~ = {\color{red}  0,009 985 8 }~km
\item   261,08 ~kL~ = {\color{red}  26 108 }~daL
\item   488,07 ~km~ = {\color{red}  4 880,7 }~hm
\item   901,81 ~dag~ = {\color{red}  901 810 }~cg
\item   198,52 ~hm~ = {\color{red}  19,852 }~km
\item   2 029 ~kg~ = {\color{red}  20 290 }~hg
\item   9 584,1 ~dL~ = {\color{red}  0,958 41 }~kL
\item   212,36 ~hg~ = {\color{red}  21,236 }~kg
\item   816,04 ~daL~ = {\color{red}  816 040 }~cL
\end{itemize}
\end{multicols}
\end{document}
