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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 251}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{42}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,736  ~ \(\times\)  ~ 10
\item   27,7  ~ \(\times\)  ~ 100
\item   42,1  ~ \(\times\)  ~ 1 000
\item   63,4  ~ \(\times\)  ~ 100
\item   619  ~ \(\times\)  ~ 100
\item   36,6  ~ \(\times\)  ~ 1 000
\item   1,3  ~ \(\times\)  ~ 100
\item   0,093  ~ \(\times\)  ~ 10
\item   0,009  ~ \(\times\)  ~ 10
\item   43,4  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   335,1  ~ : ~ 1 000
\item   1,916  ~ : ~ 10
\item   126,7  ~ : ~ 1 000
\item   8 511  ~ : ~ 10
\item   50,6  ~ : ~ 1 000
\item   0,364  ~ : ~ 100
\item   8 378  ~ : ~ 10
\item   73,23  ~ : ~ 100
\item   8 636  ~ : ~ 1 000
\item   738,4  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   47,2  ~ \(\times\)  ~ ... ~ = ~ 4 720
\item   491  ~ \(\times\)  ~ ... ~ = ~ 4 910
\item   1,82  ~ \(\times\)  ~ ... ~ = ~ 18,2
\item   127  ~ \(\times\)  ~ ... ~ = ~ 127 000
\item   0,09  ~ \(\times\)  ~ ... ~ = ~ 9
\item   863  ~ \(\times\)  ~ ... ~ = ~ 8 630
\item   0,568  ~ \(\times\)  ~ ... ~ = ~ 56,8
\item   0,066  ~ \(\times\)  ~ ... ~ = ~ 0,66
\item   4,87  ~ \(\times\)  ~ ... ~ = ~ 487
\item   83,6  ~ \(\times\)  ~ ... ~ = ~ 83 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   787,3  ~ \(\times\)  ~ 0,1
\item   2 305  ~ \(\times\)  ~ 0,001
\item   2,168  ~ \(\times\)  ~ 0,1
\item   68,57  ~ \(\times\)  ~ 0,1
\item   16,61  ~ \(\times\)  ~ 0,01
\item   27,93  ~ \(\times\)  ~ 0,01
\item   986,7  ~ \(\times\)  ~ 0,01
\item   9 211  ~ \(\times\)  ~ 0,1
\item   5,076  ~ \(\times\)  ~ 0,01
\item   485,6  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,64  ~ \(\times\)  ~ ... ~ = ~  0,073 64
\item   262,8  ~ \(\times\)  ~ ... ~ = ~  0,262 8
\item   67,75  ~ \(\times\)  ~ ... ~ = ~  0,067 75
\item   2 523  ~ \(\times\)  ~ ... ~ = ~  25,23
\item   3,752  ~ \(\times\)  ~ ... ~ = ~  0,375 2
\item   72,63  ~ \(\times\)  ~ ... ~ = ~  7,263
\item   204,2  ~ \(\times\)  ~ ... ~ = ~  20,42
\item   0,4  ~ \(\times\)  ~ ... ~ = ~  0,04
\item   186,9  ~ \(\times\)  ~ ... ~ = ~  0,186 9
\item   1,28  ~ \(\times\)  ~ ... ~ = ~  0,128
\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~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 939,5 ~kg~ = ...~dg
\item   756,3 ~cL~ = ...~daL
\item   7 457 ~dg~ = ...~dag
\item   753,99 ~cm~ = ...~dm
\item   4 342,6 ~hm~ = ...~cm
\item   891,9 ~daL~ = ...~hL
\item   1 608,7 ~m~ = ...~dm
\item   513,12 ~dag~ = ...~cg
\item   2 076,3 ~mm~ = ...~km
\item   267,36 ~kL~ = ...~daL
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{8400}{100}\) = \(\dfrac{840}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{42}{10}\) = \(\dfrac{420}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{630}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,736  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,36}
\item   27,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 770}
\item   42,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 42 100}
\item   63,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6 340}
\item   619  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 61 900}
\item   36,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 36 600}
\item   1,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 130}
\item   0,093  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,93}
\item   0,009  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,09}
\item   43,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 434}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   335,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,335 1}
\item   1,916 ~ : ~ 10 ~ = ~{\color{red} 0,191 6}
\item   126,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,126 7}
\item   8 511 ~ : ~ 10 ~ = ~{\color{red} 851,1}
\item   50,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,050 6}
\item   0,364 ~ : ~ 100 ~ = ~{\color{red} 0,003 64}
\item   8 378 ~ : ~ 10 ~ = ~{\color{red} 837,8}
\item   73,23 ~ : ~ 100 ~ = ~{\color{red} 0,732 3}
\item   8 636 ~ : ~ 1 000 ~ = ~{\color{red} 8,636}
\item   738,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,738 4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   47,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 720
\item   491 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 910
\item   1,82 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~18,2
\item   127 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~127 000
\item   0,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9
\item   863 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8 630
\item   0,568 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~56,8
\item   0,066 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,66
\item   4,87 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~487
\item   83,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~83 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   787,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 78,73
}\item   2 305 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,305
}\item   2,168 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,216 8
}\item   68,57 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,857
}\item   16,61 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,166 1
}\item   27,93 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,279 3
}\item   986,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,867
}\item   9 211 ~ \(\times\)  0,1 ~ = ~{\color{red} 921,1
}\item   5,076 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,050 76
}\item   485,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,485 6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   73,64 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,073 64
\item   262,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,262 8
\item   67,75 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,067 75
\item   2 523 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 25,23
\item   3,752 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,375 2
\item   72,63 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,263
\item   204,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 20,42
\item   0,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,04
\item   186,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,186 9
\item   1,28 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,128
\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}  100 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 939,5 ~kg~ = {\color{red}  69 395 000 }~dg
\item   756,3 ~cL~ = {\color{red}  0,756 3 }~daL
\item   7 457 ~dg~ = {\color{red}  74,57 }~dag
\item   753,99 ~cm~ = {\color{red}  75,399 }~dm
\item   4 342,6 ~hm~ = {\color{red}  43 426 000 }~cm
\item   891,9 ~daL~ = {\color{red}  89,19 }~hL
\item   1 608,7 ~m~ = {\color{red}  16 087 }~dm
\item   513,12 ~dag~ = {\color{red}  513 120 }~cg
\item   2 076,3 ~mm~ = {\color{red}  0,002 076 3 }~km
\item   267,36 ~kL~ = {\color{red}  26 736 }~daL
\end{itemize}
\end{multicols}
\end{document}
