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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 92}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{83}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{77}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,1  ~ \(\times\)  ~ 10
\item   5,95  ~ \(\times\)  ~ 10
\item   53  ~ \(\times\)  ~ 1 000
\item   91,5  ~ \(\times\)  ~ 1 000
\item   0,017  ~ \(\times\)  ~ 1 000
\item   0,169  ~ \(\times\)  ~ 100
\item   77  ~ \(\times\)  ~ 1 000
\item   13  ~ \(\times\)  ~ 100
\item   0,078  ~ \(\times\)  ~ 100
\item   430  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   279  ~ : ~ 10
\item   983,7  ~ : ~ 10
\item   2,423  ~ : ~ 10
\item   63,25  ~ : ~ 100
\item   4 804  ~ : ~ 1 000
\item   9 430  ~ : ~ 100
\item   627,5  ~ : ~ 1 000
\item   51,27  ~ : ~ 1 000
\item   1 292  ~ : ~ 1 000
\item   8,213  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,12  ~ \(\times\)  ~ ... ~ = ~ 31,2
\item   7,78  ~ \(\times\)  ~ ... ~ = ~ 77,8
\item   0,058  ~ \(\times\)  ~ ... ~ = ~ 5,8
\item   85,6  ~ \(\times\)  ~ ... ~ = ~ 856
\item   334  ~ \(\times\)  ~ ... ~ = ~ 3 340
\item   8,4  ~ \(\times\)  ~ ... ~ = ~ 8 400
\item   0,057  ~ \(\times\)  ~ ... ~ = ~ 5,7
\item   507  ~ \(\times\)  ~ ... ~ = ~ 5 070
\item   91,2  ~ \(\times\)  ~ ... ~ = ~ 91 200
\item   0,035  ~ \(\times\)  ~ ... ~ = ~ 0,35
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   504  ~ \(\times\)  ~ 0,01
\item   674,5  ~ \(\times\)  ~ 0,001
\item   37,46  ~ \(\times\)  ~ 0,01
\item   68,99  ~ \(\times\)  ~ 0,1
\item   3,461  ~ \(\times\)  ~ 0,001
\item   651,5  ~ \(\times\)  ~ 0,001
\item   7 513  ~ \(\times\)  ~ 0,001
\item   564,8  ~ \(\times\)  ~ 0,01
\item   975,8  ~ \(\times\)  ~ 0,001
\item   6 640  ~ \(\times\)  ~ 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   5,121  ~ \(\times\)  ~ ... ~ = ~  0,512 1
\item   319,3  ~ \(\times\)  ~ ... ~ = ~  0,319 3
\item   930,1  ~ \(\times\)  ~ ... ~ = ~  9,301
\item   7 668  ~ \(\times\)  ~ ... ~ = ~  766,8
\item   72,35  ~ \(\times\)  ~ ... ~ = ~  0,072 35
\item   2,686  ~ \(\times\)  ~ ... ~ = ~  0,026 86
\item   5 215  ~ \(\times\)  ~ ... ~ = ~  521,5
\item   84,74  ~ \(\times\)  ~ ... ~ = ~  0,847 4
\item   7 052  ~ \(\times\)  ~ ... ~ = ~  7,052
\item   609,9  ~ \(\times\)  ~ ... ~ = ~  6,099
\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 ~m~ = ...~km
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~dm~ = ...~cm
\item   1 ~m~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 969 ~kg~ = ...~dag
\item   315,16 ~mm~ = ...~dm
\item   459,2 ~mL~ = ...~dL
\item   4 516 ~dag~ = ...~dg
\item   2 732,3 ~daL~ = ...~mL
\item   431,89 ~km~ = ...~m
\item   564,26 ~dag~ = ...~kg
\item   228,5 ~dL~ = ...~mL
\item   140,05 ~cg~ = ...~dg
\item   8 950,5 ~kg~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{9700}{100}\) = \(\dfrac{970}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{83}{10}\) = \(\dfrac{830}{100}\)
\item   \(\dfrac{77}{100}\) = \(\dfrac{770}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   49,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 491}
\item   5,95  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 59,5}
\item   53  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 53 000}
\item   91,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 91 500}
\item   0,017  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 17}
\item   0,169  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 16,9}
\item   77  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 77 000}
\item   13  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 300}
\item   0,078  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,8}
\item   430  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 43 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   279 ~ : ~ 10 ~ = ~{\color{red} 27,9}
\item   983,7 ~ : ~ 10 ~ = ~{\color{red} 98,37}
\item   2,423 ~ : ~ 10 ~ = ~{\color{red} 0,242 3}
\item   63,25 ~ : ~ 100 ~ = ~{\color{red} 0,632 5}
\item   4 804 ~ : ~ 1 000 ~ = ~{\color{red} 4,804}
\item   9 430 ~ : ~ 100 ~ = ~{\color{red} 94,3}
\item   627,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,627 5}
\item   51,27 ~ : ~ 1 000 ~ = ~{\color{red} 0,051 27}
\item   1 292 ~ : ~ 1 000 ~ = ~{\color{red} 1,292}
\item   8,213 ~ : ~ 10 ~ = ~{\color{red} 0,821 3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,12 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~31,2
\item   7,78 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~77,8
\item   0,058 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,8
\item   85,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~856
\item   334 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 340
\item   8,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 400
\item   0,057 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,7
\item   507 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 070
\item   91,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~91 200
\item   0,035 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,35
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   504 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,04
}\item   674,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,674 5
}\item   37,46 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,374 6
}\item   68,99 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,899
}\item   3,461 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 461
}\item   651,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,651 5
}\item   7 513 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,513
}\item   564,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,648
}\item   975,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,975 8
}\item   6 640 ~ \(\times\)  0,1 ~ = ~{\color{red} 664
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,121 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,512 1
\item   319,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,319 3
\item   930,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,301
\item   7 668 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 766,8
\item   72,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,072 35
\item   2,686 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,026 86
\item   5 215 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 521,5
\item   84,74 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,847 4
\item   7 052 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,052
\item   609,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,099
\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 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 969 ~kg~ = {\color{red}  996 900 }~dag
\item   315,16 ~mm~ = {\color{red}  3,151 6 }~dm
\item   459,2 ~mL~ = {\color{red}  4,592 }~dL
\item   4 516 ~dag~ = {\color{red}  451 600 }~dg
\item   2 732,3 ~daL~ = {\color{red}  27 323 000 }~mL
\item   431,89 ~km~ = {\color{red}  431 890 }~m
\item   564,26 ~dag~ = {\color{red}  5,642 6 }~kg
\item   228,5 ~dL~ = {\color{red}  22 850 }~mL
\item   140,05 ~cg~ = {\color{red}  14,005 }~dg
\item   8 950,5 ~kg~ = {\color{red}  895 050 000 }~cg
\end{itemize}
\end{multicols}
\end{document}
