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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 140}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{79}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   70,4  ~ \(\times\)  ~ 10
\item   53,6  ~ \(\times\)  ~ 1 000
\item   0,399  ~ \(\times\)  ~ 100
\item   5,9  ~ \(\times\)  ~ 10
\item   62,7  ~ \(\times\)  ~ 1 000
\item   0,868  ~ \(\times\)  ~ 1 000
\item   4,61  ~ \(\times\)  ~ 10
\item   0,056  ~ \(\times\)  ~ 100
\item   41,4  ~ \(\times\)  ~ 100
\item   0,063  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928,2  ~ : ~ 10
\item   2,908  ~ : ~ 1 000
\item   9 807  ~ : ~ 1 000
\item   8,945  ~ : ~ 1 000
\item   36,22  ~ : ~ 10
\item   911,8  ~ : ~ 1 000
\item   8,505  ~ : ~ 10
\item   5,133  ~ : ~ 1 000
\item   245,8  ~ : ~ 10
\item   6,263  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,95  ~ \(\times\)  ~ ... ~ = ~ 950
\item   0,704  ~ \(\times\)  ~ ... ~ = ~ 704
\item   0,037  ~ \(\times\)  ~ ... ~ = ~ 3,7
\item   6,29  ~ \(\times\)  ~ ... ~ = ~ 629
\item   6,99  ~ \(\times\)  ~ ... ~ = ~ 6 990
\item   3,61  ~ \(\times\)  ~ ... ~ = ~ 361
\item   2,13  ~ \(\times\)  ~ ... ~ = ~ 2 130
\item   4,72  ~ \(\times\)  ~ ... ~ = ~ 47,2
\item   0,08  ~ \(\times\)  ~ ... ~ = ~ 0,8
\item   416  ~ \(\times\)  ~ ... ~ = ~ 41 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,632  ~ \(\times\)  ~ 0,1
\item   24,88  ~ \(\times\)  ~ 0,1
\item   32,37  ~ \(\times\)  ~ 0,001
\item   4 491  ~ \(\times\)  ~ 0,1
\item   639,1  ~ \(\times\)  ~ 0,1
\item   59,66  ~ \(\times\)  ~ 0,1
\item   89,71  ~ \(\times\)  ~ 0,01
\item   45,53  ~ \(\times\)  ~ 0,01
\item   7 152  ~ \(\times\)  ~ 0,001
\item   720,5  ~ \(\times\)  ~ 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   908,1  ~ \(\times\)  ~ ... ~ = ~  9,081
\item   833,6  ~ \(\times\)  ~ ... ~ = ~  8,336
\item   48,68  ~ \(\times\)  ~ ... ~ = ~  0,486 8
\item   2 047  ~ \(\times\)  ~ ... ~ = ~  204,7
\item   67,52  ~ \(\times\)  ~ ... ~ = ~  6,752
\item   2,82  ~ \(\times\)  ~ ... ~ = ~  0,002 82
\item   6 291  ~ \(\times\)  ~ ... ~ = ~  6,291
\item   8,858  ~ \(\times\)  ~ ... ~ = ~  0,088 58
\item   266,3  ~ \(\times\)  ~ ... ~ = ~  26,63
\item   64,18  ~ \(\times\)  ~ ... ~ = ~  0,064 18
\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 ~cm~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~dam~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~km~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   744,44 ~cL~ = ...~dL
\item   873,62 ~dL~ = ...~kL
\item   611,31 ~mL~ = ...~dL
\item   7 811 ~km~ = ...~hm
\item   3 026,2 ~hm~ = ...~m
\item   920,39 ~cL~ = ...~kL
\item   819,27 ~dg~ = ...~mg
\item   789,06 ~m~ = ...~km
\item   562,29 ~dL~ = ...~hL
\item   677 ~mm~ = ...~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   2 = \(\dfrac{20}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{4500}{100}\) = \(\dfrac{450}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{79}{10}\) = \(\dfrac{790}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{170}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   70,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 704}
\item   53,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 53 600}
\item   0,399  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 39,9}
\item   5,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 59}
\item   62,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 62 700}
\item   0,868  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 868}
\item   4,61  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 46,1}
\item   0,056  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,6}
\item   41,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4 140}
\item   0,063  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 63}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   928,2 ~ : ~ 10 ~ = ~{\color{red} 92,82}
\item   2,908 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 908}
\item   9 807 ~ : ~ 1 000 ~ = ~{\color{red} 9,807}
\item   8,945 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 945}
\item   36,22 ~ : ~ 10 ~ = ~{\color{red} 3,622}
\item   911,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,911 8}
\item   8,505 ~ : ~ 10 ~ = ~{\color{red} 0,850 5}
\item   5,133 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 133}
\item   245,8 ~ : ~ 10 ~ = ~{\color{red} 24,58}
\item   6,263 ~ : ~ 100 ~ = ~{\color{red} 0,062 63}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,95 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~950
\item   0,704 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~704
\item   0,037 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,7
\item   6,29 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~629
\item   6,99 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 990
\item   3,61 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~361
\item   2,13 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 130
\item   4,72 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~47,2
\item   0,08 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,8
\item   416 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~41 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,632 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,263 2
}\item   24,88 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,488
}\item   32,37 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,032 37
}\item   4 491 ~ \(\times\)  0,1 ~ = ~{\color{red} 449,1
}\item   639,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 63,91
}\item   59,66 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,966
}\item   89,71 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,897 1
}\item   45,53 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,455 3
}\item   7 152 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,152
}\item   720,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,720 5
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   908,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,081
\item   833,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,336
\item   48,68 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,486 8
\item   2 047 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 204,7
\item   67,52 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,752
\item   2,82 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 82
\item   6 291 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 6,291
\item   8,858 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,088 58
\item   266,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 26,63
\item   64,18 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,064 18
\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 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   744,44 ~cL~ = {\color{red}  74,444 }~dL
\item   873,62 ~dL~ = {\color{red}  0,087 362 }~kL
\item   611,31 ~mL~ = {\color{red}  6,113 1 }~dL
\item   7 811 ~km~ = {\color{red}  78 110 }~hm
\item   3 026,2 ~hm~ = {\color{red}  302 620 }~m
\item   920,39 ~cL~ = {\color{red}  0,009 203 9 }~kL
\item   819,27 ~dg~ = {\color{red}  81 927 }~mg
\item   789,06 ~m~ = {\color{red}  0,789 06 }~km
\item   562,29 ~dL~ = {\color{red}  0,562 29 }~hL
\item   677 ~mm~ = {\color{red}  0,000 677 }~km
\end{itemize}
\end{multicols}
\end{document}
