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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 267}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{24}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{12}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,576  ~ \(\times\)  ~ 10
\item   86,7  ~ \(\times\)  ~ 1 000
\item   0,001  ~ \(\times\)  ~ 1 000
\item   0,005  ~ \(\times\)  ~ 10
\item   0,084  ~ \(\times\)  ~ 100
\item   423  ~ \(\times\)  ~ 100
\item   7,85  ~ \(\times\)  ~ 10
\item   0,081  ~ \(\times\)  ~ 1 000
\item   6,53  ~ \(\times\)  ~ 10
\item   0,855  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   38,87  ~ : ~ 100
\item   6 333  ~ : ~ 100
\item   160,2  ~ : ~ 100
\item   37,5  ~ : ~ 10
\item   80,13  ~ : ~ 100
\item   9,368  ~ : ~ 100
\item   434,7  ~ : ~ 100
\item   43,13  ~ : ~ 100
\item   351,3  ~ : ~ 10
\item   3 208  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   69,8  ~ \(\times\)  ~ ... ~ = ~ 6 980
\item   75,3  ~ \(\times\)  ~ ... ~ = ~ 7 530
\item   2,51  ~ \(\times\)  ~ ... ~ = ~ 25,1
\item   0,03  ~ \(\times\)  ~ ... ~ = ~ 30
\item   61,1  ~ \(\times\)  ~ ... ~ = ~ 61 100
\item   948  ~ \(\times\)  ~ ... ~ = ~ 9 480
\item   5,33  ~ \(\times\)  ~ ... ~ = ~ 5 330
\item   0,168  ~ \(\times\)  ~ ... ~ = ~ 16,8
\item   62,6  ~ \(\times\)  ~ ... ~ = ~ 62 600
\item   89  ~ \(\times\)  ~ ... ~ = ~ 8 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13,55  ~ \(\times\)  ~ 0,01
\item   1 075  ~ \(\times\)  ~ 0,01
\item   1 905  ~ \(\times\)  ~ 0,001
\item   214,1  ~ \(\times\)  ~ 0,01
\item   66,32  ~ \(\times\)  ~ 0,01
\item   853,4  ~ \(\times\)  ~ 0,01
\item   468  ~ \(\times\)  ~ 0,01
\item   116,8  ~ \(\times\)  ~ 0,001
\item   23,43  ~ \(\times\)  ~ 0,1
\item   4 147  ~ \(\times\)  ~ 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   409,8  ~ \(\times\)  ~ ... ~ = ~  0,409 8
\item   1 141  ~ \(\times\)  ~ ... ~ = ~  1,141
\item   76,35  ~ \(\times\)  ~ ... ~ = ~  7,635
\item   7 304  ~ \(\times\)  ~ ... ~ = ~  73,04
\item   8,561  ~ \(\times\)  ~ ... ~ = ~  0,008 561
\item   695,9  ~ \(\times\)  ~ ... ~ = ~  6,959
\item   7,897  ~ \(\times\)  ~ ... ~ = ~  0,007 897
\item   580,7  ~ \(\times\)  ~ ... ~ = ~  5,807
\item   2,203  ~ \(\times\)  ~ ... ~ = ~  0,220 3
\item   5 574  ~ \(\times\)  ~ ... ~ = ~  5,574
\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~ = ...~cm
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~dam
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 737,3 ~kg~ = ...~hg
\item   977,03 ~mL~ = ...~kL
\item   517,82 ~g~ = ...~kg
\item   5 000,2 ~hg~ = ...~cg
\item   9 221,5 ~kL~ = ...~L
\item   511,51 ~cg~ = ...~kg
\item   736,41 ~cm~ = ...~m
\item   895,83 ~g~ = ...~hg
\item   594,81 ~daL~ = ...~L
\item   713,11 ~mL~ = ...~dL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

\needspace{5\baselineskip}
\subsection*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{6700}{100}\) = \(\dfrac{670}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{24}{10}\) = \(\dfrac{240}{100}\)
\item   \(\dfrac{12}{100}\) = \(\dfrac{120}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,576  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,76}
\item   86,7  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 86 700}
\item   0,001  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1}
\item   0,005  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,05}
\item   0,084  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,4}
\item   423  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 42 300}
\item   7,85  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 78,5}
\item   0,081  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 81}
\item   6,53  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 65,3}
\item   0,855  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85,5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   38,87 ~ : ~ 100 ~ = ~{\color{red} 0,388 7}
\item   6 333 ~ : ~ 100 ~ = ~{\color{red} 63,33}
\item   160,2 ~ : ~ 100 ~ = ~{\color{red} 1,602}
\item   37,5 ~ : ~ 10 ~ = ~{\color{red} 3,75}
\item   80,13 ~ : ~ 100 ~ = ~{\color{red} 0,801 3}
\item   9,368 ~ : ~ 100 ~ = ~{\color{red} 0,093 68}
\item   434,7 ~ : ~ 100 ~ = ~{\color{red} 4,347}
\item   43,13 ~ : ~ 100 ~ = ~{\color{red} 0,431 3}
\item   351,3 ~ : ~ 10 ~ = ~{\color{red} 35,13}
\item   3 208 ~ : ~ 100 ~ = ~{\color{red} 32,08}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   69,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 980
\item   75,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 530
\item   2,51 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~25,1
\item   0,03 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~30
\item   61,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~61 100
\item   948 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 480
\item   5,33 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 330
\item   0,168 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~16,8
\item   62,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~62 600
\item   89 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   13,55 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,135 5
}\item   1 075 ~ \(\times\)  0,01 ~ = ~{\color{red} 10,75
}\item   1 905 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,905
}\item   214,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,141
}\item   66,32 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,663 2
}\item   853,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,534
}\item   468 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,68
}\item   116,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,116 8
}\item   23,43 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,343
}\item   4 147 ~ \(\times\)  0,1 ~ = ~{\color{red} 414,7
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   409,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,409 8
\item   1 141 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,141
\item   76,35 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,635
\item   7 304 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 73,04
\item   8,561 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 561
\item   695,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,959
\item   7,897 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 897
\item   580,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,807
\item   2,203 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,220 3
\item   5 574 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,574
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 737,3 ~kg~ = {\color{red}  17 373 }~hg
\item   977,03 ~mL~ = {\color{red}  0,000 977 03 }~kL
\item   517,82 ~g~ = {\color{red}  0,517 82 }~kg
\item   5 000,2 ~hg~ = {\color{red}  50 002 000 }~cg
\item   9 221,5 ~kL~ = {\color{red}  9 221 500 }~L
\item   511,51 ~cg~ = {\color{red}  0,005 115 1 }~kg
\item   736,41 ~cm~ = {\color{red}  7,364 1 }~m
\item   895,83 ~g~ = {\color{red}  8,958 3 }~hg
\item   594,81 ~daL~ = {\color{red}  5 948,1 }~L
\item   713,11 ~mL~ = {\color{red}  7,131 1 }~dL
\end{itemize}
\end{multicols}
\end{document}
