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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 327}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{29}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   0,819  ~ \(\times\)  ~ 1 000
\item   218  ~ \(\times\)  ~ 10
\item   191  ~ \(\times\)  ~ 10
\item   201  ~ \(\times\)  ~ 10
\item   71,2  ~ \(\times\)  ~ 10
\item   0,232  ~ \(\times\)  ~ 100
\item   44  ~ \(\times\)  ~ 100
\item   93,8  ~ \(\times\)  ~ 1 000
\item   0,065  ~ \(\times\)  ~ 100
\item   81,5  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,431  ~ : ~ 1 000
\item   3 864  ~ : ~ 10
\item   7 678  ~ : ~ 10
\item   656,9  ~ : ~ 1 000
\item   979,6  ~ : ~ 100
\item   506,8  ~ : ~ 1 000
\item   53,8  ~ : ~ 10
\item   2,297  ~ : ~ 100
\item   771,9  ~ : ~ 100
\item   4,352  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   70,5  ~ \(\times\)  ~ ... ~ = ~ 705
\item   0,001  ~ \(\times\)  ~ ... ~ = ~ 0,1
\item   0,983  ~ \(\times\)  ~ ... ~ = ~ 9,83
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 52
\item   0,652  ~ \(\times\)  ~ ... ~ = ~ 6,52
\item   0,067  ~ \(\times\)  ~ ... ~ = ~ 0,67
\item   27  ~ \(\times\)  ~ ... ~ = ~ 27 000
\item   0,77  ~ \(\times\)  ~ ... ~ = ~ 7,7
\item   0,066  ~ \(\times\)  ~ ... ~ = ~ 0,66
\item   21,3  ~ \(\times\)  ~ ... ~ = ~ 213
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,365  ~ \(\times\)  ~ 0,01
\item   8,926  ~ \(\times\)  ~ 0,01
\item   255,9  ~ \(\times\)  ~ 0,1
\item   14,62  ~ \(\times\)  ~ 0,1
\item   8 418  ~ \(\times\)  ~ 0,001
\item   118,6  ~ \(\times\)  ~ 0,01
\item   4 665  ~ \(\times\)  ~ 0,1
\item   669  ~ \(\times\)  ~ 0,001
\item   985,4  ~ \(\times\)  ~ 0,01
\item   3 865  ~ \(\times\)  ~ 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   4 223  ~ \(\times\)  ~ ... ~ = ~  4,223
\item   88,9  ~ \(\times\)  ~ ... ~ = ~  0,088 9
\item   499,8  ~ \(\times\)  ~ ... ~ = ~  4,998
\item   90,7  ~ \(\times\)  ~ ... ~ = ~  9,07
\item   9 809  ~ \(\times\)  ~ ... ~ = ~  98,09
\item   68,74  ~ \(\times\)  ~ ... ~ = ~  0,687 4
\item   2,39  ~ \(\times\)  ~ ... ~ = ~  0,002 39
\item   837,5  ~ \(\times\)  ~ ... ~ = ~  0,837 5
\item   0,236  ~ \(\times\)  ~ ... ~ = ~  0,000 236
\item   6,162  ~ \(\times\)  ~ ... ~ = ~  0,616 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 ~hm~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~m
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~hm
\item   1 ~cm~ = ...~hm
\item   1 ~m~ = ...~km
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   244,91 ~dam~ = ...~dm
\item   5 930,7 ~kL~ = ...~cL
\item   273,88 ~mm~ = ...~hm
\item   3 339,2 ~kg~ = ...~cg
\item   6 994,6 ~km~ = ...~dm
\item   1 965,1 ~mL~ = ...~dL
\item   283,66 ~km~ = ...~mm
\item   1 711,8 ~m~ = ...~hm
\item   9 752,3 ~hg~ = ...~cg
\item   534,79 ~dag~ = ...~hg
\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   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{5200}{100}\) = \(\dfrac{520}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{29}{10}\) = \(\dfrac{290}{100}\)
\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   0,819  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 819}
\item   218  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 180}
\item   191  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 910}
\item   201  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 010}
\item   71,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 712}
\item   0,232  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 23,2}
\item   44  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 400}
\item   93,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 93 800}
\item   0,065  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,5}
\item   81,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 81 500}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,431 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 431}
\item   3 864 ~ : ~ 10 ~ = ~{\color{red} 386,4}
\item   7 678 ~ : ~ 10 ~ = ~{\color{red} 767,8}
\item   656,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,656 9}
\item   979,6 ~ : ~ 100 ~ = ~{\color{red} 9,796}
\item   506,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,506 8}
\item   53,8 ~ : ~ 10 ~ = ~{\color{red} 5,38}
\item   2,297 ~ : ~ 100 ~ = ~{\color{red} 0,022 97}
\item   771,9 ~ : ~ 100 ~ = ~{\color{red} 7,719}
\item   4,352 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 352}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   70,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~705
\item   0,001 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~0,1
\item   0,983 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,83
\item   0,052 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~52
\item   0,652 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,52
\item   0,067 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,67
\item   27 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~27 000
\item   0,77 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7,7
\item   0,066 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,66
\item   21,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~213
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,365 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,013 65
}\item   8,926 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,089 26
}\item   255,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 25,59
}\item   14,62 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,462
}\item   8 418 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,418
}\item   118,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,186
}\item   4 665 ~ \(\times\)  0,1 ~ = ~{\color{red} 466,5
}\item   669 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,669
}\item   985,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,854
}\item   3 865 ~ \(\times\)  0,01 ~ = ~{\color{red} 38,65
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 223 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,223
\item   88,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,088 9
\item   499,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,998
\item   90,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,07
\item   9 809 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 98,09
\item   68,74 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,687 4
\item   2,39 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 39
\item   837,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,837 5
\item   0,236 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 236
\item   6,162 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,616 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 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   244,91 ~dam~ = {\color{red}  24 491 }~dm
\item   5 930,7 ~kL~ = {\color{red}  593 070 000 }~cL
\item   273,88 ~mm~ = {\color{red}  0,002 738 8 }~hm
\item   3 339,2 ~kg~ = {\color{red}  333 920 000 }~cg
\item   6 994,6 ~km~ = {\color{red}  69 946 000 }~dm
\item   1 965,1 ~mL~ = {\color{red}  19,651 }~dL
\item   283,66 ~km~ = {\color{red}  283 660 000 }~mm
\item   1 711,8 ~m~ = {\color{red}  17,118 }~hm
\item   9 752,3 ~hg~ = {\color{red}  97 523 000 }~cg
\item   534,79 ~dag~ = {\color{red}  53,479 }~hg
\end{itemize}
\end{multicols}
\end{document}
