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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 11}

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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   \(\dfrac{6800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,02  ~ \(\times\)  ~ 100
\item   0,065  ~ \(\times\)  ~ 10
\item   0,105  ~ \(\times\)  ~ 100
\item   154  ~ \(\times\)  ~ 1 000
\item   838  ~ \(\times\)  ~ 1 000
\item   0,414  ~ \(\times\)  ~ 1 000
\item   0,077  ~ \(\times\)  ~ 1 000
\item   0,017  ~ \(\times\)  ~ 10
\item   0,086  ~ \(\times\)  ~ 10
\item   69  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 064  ~ : ~ 100
\item   5,446  ~ : ~ 1 000
\item   330,1  ~ : ~ 1 000
\item   4,92  ~ : ~ 10
\item   1,493  ~ : ~ 1 000
\item   4,658  ~ : ~ 1 000
\item   14,64  ~ : ~ 100
\item   38,63  ~ : ~ 10
\item   1 251  ~ : ~ 100
\item   18,67  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77  ~ \(\times\)  ~ ... ~ = ~ 77 000
\item   0,9  ~ \(\times\)  ~ ... ~ = ~ 9
\item   958  ~ \(\times\)  ~ ... ~ = ~ 95 800
\item   0,393  ~ \(\times\)  ~ ... ~ = ~ 39,3
\item   0,008  ~ \(\times\)  ~ ... ~ = ~ 8
\item   2,12  ~ \(\times\)  ~ ... ~ = ~ 212
\item   0,98  ~ \(\times\)  ~ ... ~ = ~ 98
\item   0,024  ~ \(\times\)  ~ ... ~ = ~ 0,24
\item   14,6  ~ \(\times\)  ~ ... ~ = ~ 14 600
\item   112  ~ \(\times\)  ~ ... ~ = ~ 1 120
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,718  ~ \(\times\)  ~ 0,1
\item   926,4  ~ \(\times\)  ~ 0,01
\item   843,8  ~ \(\times\)  ~ 0,001
\item   2,246  ~ \(\times\)  ~ 0,001
\item   6 388  ~ \(\times\)  ~ 0,01
\item   699,4  ~ \(\times\)  ~ 0,1
\item   45,21  ~ \(\times\)  ~ 0,1
\item   355,3  ~ \(\times\)  ~ 0,01
\item   9 553  ~ \(\times\)  ~ 0,1
\item   249,8  ~ \(\times\)  ~ 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   4 332  ~ \(\times\)  ~ ... ~ = ~  4,332
\item   54,9  ~ \(\times\)  ~ ... ~ = ~  0,549
\item   1 303  ~ \(\times\)  ~ ... ~ = ~  130,3
\item   352  ~ \(\times\)  ~ ... ~ = ~  35,2
\item   61,41  ~ \(\times\)  ~ ... ~ = ~  0,061 41
\item   752,6  ~ \(\times\)  ~ ... ~ = ~  0,752 6
\item   802,6  ~ \(\times\)  ~ ... ~ = ~  8,026
\item   309,6  ~ \(\times\)  ~ ... ~ = ~  3,096
\item   384,2  ~ \(\times\)  ~ ... ~ = ~  0,384 2
\item   321  ~ \(\times\)  ~ ... ~ = ~  0,321
\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 ~dm~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   471,89 ~kL~ = ...~cL
\item   9 512,6 ~m~ = ...~hm
\item   159,78 ~kL~ = ...~L
\item   3 862,2 ~km~ = ...~mm
\item   9 074,4 ~dam~ = ...~cm
\item   212,91 ~g~ = ...~dg
\item   5 768,7 ~mL~ = ...~L
\item   4 089,8 ~mL~ = ...~hL
\item   5 161,6 ~m~ = ...~km
\item   6 963,2 ~dm~ = ...~km
\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   \(\dfrac{6800}{100}\) = \(\dfrac{680}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{86}{10}\) = \(\dfrac{860}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{350}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,02  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2}
\item   0,065  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,65}
\item   0,105  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 10,5}
\item   154  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 154 000}
\item   838  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 838 000}
\item   0,414  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 414}
\item   0,077  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 77}
\item   0,017  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,17}
\item   0,086  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,86}
\item   69  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 690}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 064 ~ : ~ 100 ~ = ~{\color{red} 40,64}
\item   5,446 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 446}
\item   330,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,330 1}
\item   4,92 ~ : ~ 10 ~ = ~{\color{red} 0,492}
\item   1,493 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 493}
\item   4,658 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 658}
\item   14,64 ~ : ~ 100 ~ = ~{\color{red} 0,146 4}
\item   38,63 ~ : ~ 10 ~ = ~{\color{red} 3,863}
\item   1 251 ~ : ~ 100 ~ = ~{\color{red} 12,51}
\item   18,67 ~ : ~ 100 ~ = ~{\color{red} 0,186 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~77 000
\item   0,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9
\item   958 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~95 800
\item   0,393 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~39,3
\item   0,008 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8
\item   2,12 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~212
\item   0,98 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~98
\item   0,024 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,24
\item   14,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~14 600
\item   112 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 120
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,718 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,771 8
}\item   926,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,264
}\item   843,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,843 8
}\item   2,246 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 246
}\item   6 388 ~ \(\times\)  0,01 ~ = ~{\color{red} 63,88
}\item   699,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 69,94
}\item   45,21 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,521
}\item   355,3 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,553
}\item   9 553 ~ \(\times\)  0,1 ~ = ~{\color{red} 955,3
}\item   249,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,498
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 332 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,332
\item   54,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,549
\item   1 303 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 130,3
\item   352 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 35,2
\item   61,41 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,061 41
\item   752,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,752 6
\item   802,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,026
\item   309,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,096
\item   384,2 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,384 2
\item   321 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,321
\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 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   471,89 ~kL~ = {\color{red}  47 189 000 }~cL
\item   9 512,6 ~m~ = {\color{red}  95,126 }~hm
\item   159,78 ~kL~ = {\color{red}  159 780 }~L
\item   3 862,2 ~km~ = {\color{red}  3 862 200 000 }~mm
\item   9 074,4 ~dam~ = {\color{red}  9 074 400 }~cm
\item   212,91 ~g~ = {\color{red}  2 129,1 }~dg
\item   5 768,7 ~mL~ = {\color{red}  5,768 7 }~L
\item   4 089,8 ~mL~ = {\color{red}  0,040 898 }~hL
\item   5 161,6 ~m~ = {\color{red}  5,161 6 }~km
\item   6 963,2 ~dm~ = {\color{red}  0,696 32 }~km
\end{itemize}
\end{multicols}
\end{document}
