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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 116}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   50,4  ~ \(\times\)  ~ 100
\item   0,043  ~ \(\times\)  ~ 100
\item   0,09  ~ \(\times\)  ~ 10
\item   471  ~ \(\times\)  ~ 100
\item   0,099  ~ \(\times\)  ~ 100
\item   517  ~ \(\times\)  ~ 1 000
\item   0,084  ~ \(\times\)  ~ 10
\item   0,857  ~ \(\times\)  ~ 100
\item   0,018  ~ \(\times\)  ~ 100
\item   0,16  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,397  ~ : ~ 1 000
\item   3,504  ~ : ~ 1 000
\item   44,52  ~ : ~ 100
\item   0,757  ~ : ~ 1 000
\item   0,179  ~ : ~ 1 000
\item   39,18  ~ : ~ 1 000
\item   9 459  ~ : ~ 10
\item   68,38  ~ : ~ 100
\item   38,77  ~ : ~ 100
\item   676,5  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,42  ~ \(\times\)  ~ ... ~ = ~ 8 420
\item   0,048  ~ \(\times\)  ~ ... ~ = ~ 4,8
\item   117  ~ \(\times\)  ~ ... ~ = ~ 11 700
\item   6,4  ~ \(\times\)  ~ ... ~ = ~ 640
\item   8,86  ~ \(\times\)  ~ ... ~ = ~ 88,6
\item   512  ~ \(\times\)  ~ ... ~ = ~ 5 120
\item   8,96  ~ \(\times\)  ~ ... ~ = ~ 8 960
\item   469  ~ \(\times\)  ~ ... ~ = ~ 469 000
\item   62,3  ~ \(\times\)  ~ ... ~ = ~ 6 230
\item   0,024  ~ \(\times\)  ~ ... ~ = ~ 2,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,952  ~ \(\times\)  ~ 0,001
\item   64,01  ~ \(\times\)  ~ 0,01
\item   6 443  ~ \(\times\)  ~ 0,001
\item   181,8  ~ \(\times\)  ~ 0,001
\item   50,38  ~ \(\times\)  ~ 0,001
\item   5 914  ~ \(\times\)  ~ 0,01
\item   73,29  ~ \(\times\)  ~ 0,01
\item   97,05  ~ \(\times\)  ~ 0,1
\item   2,971  ~ \(\times\)  ~ 0,01
\item   4 780  ~ \(\times\)  ~ 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   9 504  ~ \(\times\)  ~ ... ~ = ~  950,4
\item   23,4  ~ \(\times\)  ~ ... ~ = ~  2,34
\item   840,7  ~ \(\times\)  ~ ... ~ = ~  8,407
\item   94,36  ~ \(\times\)  ~ ... ~ = ~  9,436
\item   5,607  ~ \(\times\)  ~ ... ~ = ~  0,056 07
\item   7 088  ~ \(\times\)  ~ ... ~ = ~  7,088
\item   2 934  ~ \(\times\)  ~ ... ~ = ~  2,934
\item   6,256  ~ \(\times\)  ~ ... ~ = ~  0,062 56
\item   7,292  ~ \(\times\)  ~ ... ~ = ~  0,729 2
\item   4 797  ~ \(\times\)  ~ ... ~ = ~  479,7
\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~ = ...~m
\item   1 ~hm~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 944 ~m~ = ...~cm
\item   7 564,4 ~L~ = ...~hL
\item   4 573,1 ~dg~ = ...~hg
\item   404,73 ~cL~ = ...~dL
\item   6 480,7 ~L~ = ...~kL
\item   2 425,9 ~dm~ = ...~cm
\item   4 371,4 ~mL~ = ...~dL
\item   753,02 ~g~ = ...~dg
\item   376,33 ~mm~ = ...~hm
\item   9 404,7 ~cL~ = ...~hL
\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   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{120}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{27}{10}\) = \(\dfrac{270}{100}\)
\item   \(\dfrac{72}{100}\) = \(\dfrac{720}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   50,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 040}
\item   0,043  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,3}
\item   0,09  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,9}
\item   471  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 47 100}
\item   0,099  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,9}
\item   517  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 517 000}
\item   0,084  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,84}
\item   0,857  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85,7}
\item   0,018  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,8}
\item   0,16  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 160}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,397 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 397}
\item   3,504 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 504}
\item   44,52 ~ : ~ 100 ~ = ~{\color{red} 0,445 2}
\item   0,757 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 757}
\item   0,179 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 179}
\item   39,18 ~ : ~ 1 000 ~ = ~{\color{red} 0,039 18}
\item   9 459 ~ : ~ 10 ~ = ~{\color{red} 945,9}
\item   68,38 ~ : ~ 100 ~ = ~{\color{red} 0,683 8}
\item   38,77 ~ : ~ 100 ~ = ~{\color{red} 0,387 7}
\item   676,5 ~ : ~ 1 000 ~ = ~{\color{red} 0,676 5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,42 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 420
\item   0,048 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,8
\item   117 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~11 700
\item   6,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~640
\item   8,86 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~88,6
\item   512 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5 120
\item   8,96 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 960
\item   469 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~469 000
\item   62,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 230
\item   0,024 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,4
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,952 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 952
}\item   64,01 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,640 1
}\item   6 443 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,443
}\item   181,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,181 8
}\item   50,38 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,050 38
}\item   5 914 ~ \(\times\)  0,01 ~ = ~{\color{red} 59,14
}\item   73,29 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,732 9
}\item   97,05 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,705
}\item   2,971 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,029 71
}\item   4 780 ~ \(\times\)  0,1 ~ = ~{\color{red} 478
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 504 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 950,4
\item   23,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,34
\item   840,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,407
\item   94,36 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 9,436
\item   5,607 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,056 07
\item   7 088 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,088
\item   2 934 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,934
\item   6,256 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,062 56
\item   7,292 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,729 2
\item   4 797 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 479,7
\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~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 944 ~m~ = {\color{red}  594 400 }~cm
\item   7 564,4 ~L~ = {\color{red}  75,644 }~hL
\item   4 573,1 ~dg~ = {\color{red}  4,573 1 }~hg
\item   404,73 ~cL~ = {\color{red}  40,473 }~dL
\item   6 480,7 ~L~ = {\color{red}  6,480 7 }~kL
\item   2 425,9 ~dm~ = {\color{red}  24 259 }~cm
\item   4 371,4 ~mL~ = {\color{red}  43,714 }~dL
\item   753,02 ~g~ = {\color{red}  7 530,2 }~dg
\item   376,33 ~mm~ = {\color{red}  0,003 763 3 }~hm
\item   9 404,7 ~cL~ = {\color{red}  0,940 47 }~hL
\end{itemize}
\end{multicols}
\end{document}
