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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 362}

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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   \(\dfrac{4200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{56}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,063  ~ \(\times\)  ~ 1 000
\item   6,59  ~ \(\times\)  ~ 100
\item   9,2  ~ \(\times\)  ~ 100
\item   0,039  ~ \(\times\)  ~ 1 000
\item   24,6  ~ \(\times\)  ~ 100
\item   0,024  ~ \(\times\)  ~ 10
\item   57  ~ \(\times\)  ~ 1 000
\item   58,5  ~ \(\times\)  ~ 1 000
\item   0,051  ~ \(\times\)  ~ 1 000
\item   45  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,45  ~ : ~ 10
\item   2 290  ~ : ~ 1 000
\item   184,6  ~ : ~ 1 000
\item   8 377  ~ : ~ 1 000
\item   3,821  ~ : ~ 1 000
\item   7 027  ~ : ~ 100
\item   5 448  ~ : ~ 10
\item   34,4  ~ : ~ 100
\item   73,78  ~ : ~ 10
\item   599  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   944  ~ \(\times\)  ~ ... ~ = ~ 9 440
\item   0,039  ~ \(\times\)  ~ ... ~ = ~ 0,39
\item   4,72  ~ \(\times\)  ~ ... ~ = ~ 472
\item   658  ~ \(\times\)  ~ ... ~ = ~ 658 000
\item   925  ~ \(\times\)  ~ ... ~ = ~ 9 250
\item   879  ~ \(\times\)  ~ ... ~ = ~ 879 000
\item   461  ~ \(\times\)  ~ ... ~ = ~ 4 610
\item   7,9  ~ \(\times\)  ~ ... ~ = ~ 790
\item   0,072  ~ \(\times\)  ~ ... ~ = ~ 7,2
\item   6,62  ~ \(\times\)  ~ ... ~ = ~ 66,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29  ~ \(\times\)  ~ 0,001
\item   0,84  ~ \(\times\)  ~ 0,1
\item   9 503  ~ \(\times\)  ~ 0,01
\item   9 501  ~ \(\times\)  ~ 0,01
\item   3,18  ~ \(\times\)  ~ 0,1
\item   668,9  ~ \(\times\)  ~ 0,1
\item   5,951  ~ \(\times\)  ~ 0,01
\item   192,7  ~ \(\times\)  ~ 0,01
\item   93,58  ~ \(\times\)  ~ 0,01
\item   7,429  ~ \(\times\)  ~ 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   0,617  ~ \(\times\)  ~ ... ~ = ~  0,000 617
\item   4,777  ~ \(\times\)  ~ ... ~ = ~  0,477 7
\item   98,2  ~ \(\times\)  ~ ... ~ = ~  9,82
\item   247,1  ~ \(\times\)  ~ ... ~ = ~  2,471
\item   59,9  ~ \(\times\)  ~ ... ~ = ~  0,059 9
\item   872,2  ~ \(\times\)  ~ ... ~ = ~  8,722
\item   98,66  ~ \(\times\)  ~ ... ~ = ~  0,986 6
\item   620,6  ~ \(\times\)  ~ ... ~ = ~  62,06
\item   2 935  ~ \(\times\)  ~ ... ~ = ~  2,935
\item   6 120  ~ \(\times\)  ~ ... ~ = ~  612
\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~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~dam
\item   1 ~m~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 791,6 ~m~ = ...~km
\item   322,39 ~cL~ = ...~daL
\item   7 536,2 ~dm~ = ...~cm
\item   6 826,9 ~cg~ = ...~g
\item   518,6 ~km~ = ...~cm
\item   272,28 ~mg~ = ...~hg
\item   197,76 ~kL~ = ...~cL
\item   233,53 ~mm~ = ...~hm
\item   223,77 ~dm~ = ...~m
\item   231,17 ~cg~ = ...~dg
\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   \(\dfrac{4200}{100}\) = \(\dfrac{420}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{94}{10}\) = \(\dfrac{940}{100}\)
\item   \(\dfrac{56}{100}\) = \(\dfrac{560}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,063  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 63}
\item   6,59  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 659}
\item   9,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 920}
\item   0,039  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 39}
\item   24,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 460}
\item   0,024  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,24}
\item   57  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 57 000}
\item   58,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 58 500}
\item   0,051  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 51}
\item   45  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 450}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,45 ~ : ~ 10 ~ = ~{\color{red} 6,345}
\item   2 290 ~ : ~ 1 000 ~ = ~{\color{red} 2,29}
\item   184,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,184 6}
\item   8 377 ~ : ~ 1 000 ~ = ~{\color{red} 8,377}
\item   3,821 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 821}
\item   7 027 ~ : ~ 100 ~ = ~{\color{red} 70,27}
\item   5 448 ~ : ~ 10 ~ = ~{\color{red} 544,8}
\item   34,4 ~ : ~ 100 ~ = ~{\color{red} 0,344}
\item   73,78 ~ : ~ 10 ~ = ~{\color{red} 7,378}
\item   599 ~ : ~ 10 ~ = ~{\color{red} 59,9}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   944 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 440
\item   0,039 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,39
\item   4,72 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~472
\item   658 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~658 000
\item   925 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 250
\item   879 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~879 000
\item   461 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 610
\item   7,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~790
\item   0,072 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,2
\item   6,62 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~66,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,029
}\item   0,84 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,084
}\item   9 503 ~ \(\times\)  0,01 ~ = ~{\color{red} 95,03
}\item   9 501 ~ \(\times\)  0,01 ~ = ~{\color{red} 95,01
}\item   3,18 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,318
}\item   668,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 66,89
}\item   5,951 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,059 51
}\item   192,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,927
}\item   93,58 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,935 8
}\item   7,429 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 429
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,617 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 617
\item   4,777 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,477 7
\item   98,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,82
\item   247,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,471
\item   59,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,059 9
\item   872,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,722
\item   98,66 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,986 6
\item   620,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 62,06
\item   2 935 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,935
\item   6 120 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 612
\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~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 791,6 ~m~ = {\color{red}  7,791 6 }~km
\item   322,39 ~cL~ = {\color{red}  0,322 39 }~daL
\item   7 536,2 ~dm~ = {\color{red}  75 362 }~cm
\item   6 826,9 ~cg~ = {\color{red}  68,269 }~g
\item   518,6 ~km~ = {\color{red}  51 860 000 }~cm
\item   272,28 ~mg~ = {\color{red}  0,002 722 8 }~hg
\item   197,76 ~kL~ = {\color{red}  19 776 000 }~cL
\item   233,53 ~mm~ = {\color{red}  0,002 335 3 }~hm
\item   223,77 ~dm~ = {\color{red}  22,377 }~m
\item   231,17 ~cg~ = {\color{red}  23,117 }~dg
\end{itemize}
\end{multicols}
\end{document}
