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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 227}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2100}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{41}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{64}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   430  ~ \(\times\)  ~ 10
\item   29,5  ~ \(\times\)  ~ 1 000
\item   256  ~ \(\times\)  ~ 10
\item   505  ~ \(\times\)  ~ 10
\item   8,37  ~ \(\times\)  ~ 100
\item   0,88  ~ \(\times\)  ~ 1 000
\item   0,263  ~ \(\times\)  ~ 1 000
\item   92,4  ~ \(\times\)  ~ 100
\item   0,053  ~ \(\times\)  ~ 100
\item   190  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   178,7  ~ : ~ 100
\item   0,244  ~ : ~ 10
\item   5 994  ~ : ~ 10
\item   5 253  ~ : ~ 100
\item   8 937  ~ : ~ 1 000
\item   15,82  ~ : ~ 1 000
\item   0,691  ~ : ~ 1 000
\item   5,526  ~ : ~ 100
\item   97,78  ~ : ~ 1 000
\item   312,7  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,35  ~ \(\times\)  ~ ... ~ = ~ 350
\item   0,132  ~ \(\times\)  ~ ... ~ = ~ 132
\item   0,054  ~ \(\times\)  ~ ... ~ = ~ 54
\item   94,7  ~ \(\times\)  ~ ... ~ = ~ 9 470
\item   677  ~ \(\times\)  ~ ... ~ = ~ 67 700
\item   77  ~ \(\times\)  ~ ... ~ = ~ 770
\item   52  ~ \(\times\)  ~ ... ~ = ~ 520
\item   0,668  ~ \(\times\)  ~ ... ~ = ~ 6,68
\item   0,167  ~ \(\times\)  ~ ... ~ = ~ 167
\item   187  ~ \(\times\)  ~ ... ~ = ~ 187 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   979  ~ \(\times\)  ~ 0,01
\item   28,35  ~ \(\times\)  ~ 0,001
\item   3 252  ~ \(\times\)  ~ 0,001
\item   32,5  ~ \(\times\)  ~ 0,01
\item   28,13  ~ \(\times\)  ~ 0,01
\item   62,21  ~ \(\times\)  ~ 0,01
\item   5,079  ~ \(\times\)  ~ 0,01
\item   3 088  ~ \(\times\)  ~ 0,01
\item   69,29  ~ \(\times\)  ~ 0,01
\item   9 190  ~ \(\times\)  ~ 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   826,9  ~ \(\times\)  ~ ... ~ = ~  8,269
\item   168,7  ~ \(\times\)  ~ ... ~ = ~  16,87
\item   157,8  ~ \(\times\)  ~ ... ~ = ~  15,78
\item   333,9  ~ \(\times\)  ~ ... ~ = ~  0,333 9
\item   8 718  ~ \(\times\)  ~ ... ~ = ~  871,8
\item   2 057  ~ \(\times\)  ~ ... ~ = ~  205,7
\item   22,8  ~ \(\times\)  ~ ... ~ = ~  0,228
\item   2 952  ~ \(\times\)  ~ ... ~ = ~  2,952
\item   35,46  ~ \(\times\)  ~ ... ~ = ~  0,354 6
\item   336,5  ~ \(\times\)  ~ ... ~ = ~  0,336 5
\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 ~km~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~km~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   698,73 ~daL~ = ...~mL
\item   8 292,4 ~km~ = ...~dam
\item   705,25 ~kg~ = ...~hg
\item   2 303 ~g~ = ...~dag
\item   6 249,5 ~kg~ = ...~dg
\item   290,17 ~cm~ = ...~dam
\item   841,89 ~kg~ = ...~dag
\item   4 016,3 ~mL~ = ...~L
\item   2 535,9 ~cg~ = ...~g
\item   519,45 ~mL~ = ...~daL
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{2100}{100}\) = \(\dfrac{210}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{41}{10}\) = \(\dfrac{410}{100}\)
\item   \(\dfrac{64}{100}\) = \(\dfrac{640}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   430  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 300}
\item   29,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 29 500}
\item   256  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 560}
\item   505  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 050}
\item   8,37  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 837}
\item   0,88  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 880}
\item   0,263  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 263}
\item   92,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 240}
\item   0,053  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,3}
\item   190  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 190 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   178,7 ~ : ~ 100 ~ = ~{\color{red} 1,787}
\item   0,244 ~ : ~ 10 ~ = ~{\color{red} 0,024 4}
\item   5 994 ~ : ~ 10 ~ = ~{\color{red} 599,4}
\item   5 253 ~ : ~ 100 ~ = ~{\color{red} 52,53}
\item   8 937 ~ : ~ 1 000 ~ = ~{\color{red} 8,937}
\item   15,82 ~ : ~ 1 000 ~ = ~{\color{red} 0,015 82}
\item   0,691 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 691}
\item   5,526 ~ : ~ 100 ~ = ~{\color{red} 0,055 26}
\item   97,78 ~ : ~ 1 000 ~ = ~{\color{red} 0,097 78}
\item   312,7 ~ : ~ 10 ~ = ~{\color{red} 31,27}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,35 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~350
\item   0,132 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~132
\item   0,054 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~54
\item   94,7 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 470
\item   677 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~67 700
\item   77 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~770
\item   52 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~520
\item   0,668 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6,68
\item   0,167 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~167
\item   187 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~187 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   979 ~ \(\times\)  0,01 ~ = ~{\color{red} 9,79
}\item   28,35 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,028 35
}\item   3 252 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,252
}\item   32,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,325
}\item   28,13 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,281 3
}\item   62,21 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,622 1
}\item   5,079 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,050 79
}\item   3 088 ~ \(\times\)  0,01 ~ = ~{\color{red} 30,88
}\item   69,29 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,692 9
}\item   9 190 ~ \(\times\)  0,01 ~ = ~{\color{red} 91,9
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   826,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,269
\item   168,7 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 16,87
\item   157,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 15,78
\item   333,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,333 9
\item   8 718 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 871,8
\item   2 057 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 205,7
\item   22,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,228
\item   2 952 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,952
\item   35,46 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,354 6
\item   336,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,336 5
\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 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   698,73 ~daL~ = {\color{red}  6 987 300 }~mL
\item   8 292,4 ~km~ = {\color{red}  829 240 }~dam
\item   705,25 ~kg~ = {\color{red}  7 052,5 }~hg
\item   2 303 ~g~ = {\color{red}  230,3 }~dag
\item   6 249,5 ~kg~ = {\color{red}  62 495 000 }~dg
\item   290,17 ~cm~ = {\color{red}  0,290 17 }~dam
\item   841,89 ~kg~ = {\color{red}  84 189 }~dag
\item   4 016,3 ~mL~ = {\color{red}  4,016 3 }~L
\item   2 535,9 ~cg~ = {\color{red}  25,359 }~g
\item   519,45 ~mL~ = {\color{red}  0,051 945 }~daL
\end{itemize}
\end{multicols}
\end{document}
