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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 329}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{61}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,9  ~ \(\times\)  ~ 10
\item   502  ~ \(\times\)  ~ 1 000
\item   495  ~ \(\times\)  ~ 1 000
\item   0,106  ~ \(\times\)  ~ 10
\item   0,523  ~ \(\times\)  ~ 10
\item   280  ~ \(\times\)  ~ 100
\item   13,4  ~ \(\times\)  ~ 10
\item   22,3  ~ \(\times\)  ~ 1 000
\item   83,8  ~ \(\times\)  ~ 10
\item   4,94  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   22,64  ~ : ~ 100
\item   2,843  ~ : ~ 100
\item   87,48  ~ : ~ 100
\item   82,93  ~ : ~ 10
\item   81,8  ~ : ~ 100
\item   4 206  ~ : ~ 10
\item   81,48  ~ : ~ 100
\item   3,103  ~ : ~ 10
\item   8,321  ~ : ~ 100
\item   1,889  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,872  ~ \(\times\)  ~ ... ~ = ~ 87,2
\item   268  ~ \(\times\)  ~ ... ~ = ~ 2 680
\item   5,15  ~ \(\times\)  ~ ... ~ = ~ 515
\item   22,4  ~ \(\times\)  ~ ... ~ = ~ 224
\item   0,022  ~ \(\times\)  ~ ... ~ = ~ 0,22
\item   1,86  ~ \(\times\)  ~ ... ~ = ~ 186
\item   925  ~ \(\times\)  ~ ... ~ = ~ 9 250
\item   695  ~ \(\times\)  ~ ... ~ = ~ 6 950
\item   88,7  ~ \(\times\)  ~ ... ~ = ~ 887
\item   1,9  ~ \(\times\)  ~ ... ~ = ~ 1 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   120,6  ~ \(\times\)  ~ 0,1
\item   367,4  ~ \(\times\)  ~ 0,001
\item   28,48  ~ \(\times\)  ~ 0,001
\item   5,978  ~ \(\times\)  ~ 0,1
\item   2,156  ~ \(\times\)  ~ 0,1
\item   51,1  ~ \(\times\)  ~ 0,1
\item   631,1  ~ \(\times\)  ~ 0,01
\item   3 571  ~ \(\times\)  ~ 0,01
\item   8,138  ~ \(\times\)  ~ 0,01
\item   64,73  ~ \(\times\)  ~ 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   0,267  ~ \(\times\)  ~ ... ~ = ~  0,026 7
\item   55,42  ~ \(\times\)  ~ ... ~ = ~  5,542
\item   36,67  ~ \(\times\)  ~ ... ~ = ~  3,667
\item   4,19  ~ \(\times\)  ~ ... ~ = ~  0,004 19
\item   6,266  ~ \(\times\)  ~ ... ~ = ~  0,626 6
\item   6,03  ~ \(\times\)  ~ ... ~ = ~  0,603
\item   0,786  ~ \(\times\)  ~ ... ~ = ~  0,078 6
\item   6 128  ~ \(\times\)  ~ ... ~ = ~  612,8
\item   5 207  ~ \(\times\)  ~ ... ~ = ~  5,207
\item   415,8  ~ \(\times\)  ~ ... ~ = ~  41,58
\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 ~m~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   111,82 ~L~ = ...~dL
\item   789,29 ~dg~ = ...~mg
\item   424,3 ~cg~ = ...~hg
\item   362,51 ~km~ = ...~dm
\item   7 362,1 ~mL~ = ...~hL
\item   3 358,5 ~daL~ = ...~hL
\item   246,51 ~hL~ = ...~kL
\item   592,37 ~dam~ = ...~cm
\item   679,05 ~km~ = ...~m
\item   401,45 ~hL~ = ...~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   8 = \(\dfrac{80}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{760}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{390}{100}\)
\item   \(\dfrac{61}{100}\) = \(\dfrac{610}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   28,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 289}
\item   502  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 502 000}
\item   495  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 495 000}
\item   0,106  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,06}
\item   0,523  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,23}
\item   280  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 28 000}
\item   13,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 134}
\item   22,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 22 300}
\item   83,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 838}
\item   4,94  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 49,4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   22,64 ~ : ~ 100 ~ = ~{\color{red} 0,226 4}
\item   2,843 ~ : ~ 100 ~ = ~{\color{red} 0,028 43}
\item   87,48 ~ : ~ 100 ~ = ~{\color{red} 0,874 8}
\item   82,93 ~ : ~ 10 ~ = ~{\color{red} 8,293}
\item   81,8 ~ : ~ 100 ~ = ~{\color{red} 0,818}
\item   4 206 ~ : ~ 10 ~ = ~{\color{red} 420,6}
\item   81,48 ~ : ~ 100 ~ = ~{\color{red} 0,814 8}
\item   3,103 ~ : ~ 10 ~ = ~{\color{red} 0,310 3}
\item   8,321 ~ : ~ 100 ~ = ~{\color{red} 0,083 21}
\item   1,889 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 889}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,872 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~87,2
\item   268 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 680
\item   5,15 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~515
\item   22,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~224
\item   0,022 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,22
\item   1,86 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~186
\item   925 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 250
\item   695 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 950
\item   88,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~887
\item   1,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   120,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 12,06
}\item   367,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,367 4
}\item   28,48 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,028 48
}\item   5,978 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,597 8
}\item   2,156 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,215 6
}\item   51,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,11
}\item   631,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,311
}\item   3 571 ~ \(\times\)  0,01 ~ = ~{\color{red} 35,71
}\item   8,138 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,081 38
}\item   64,73 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,064 73
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,267 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,026 7
\item   55,42 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,542
\item   36,67 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,667
\item   4,19 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 19
\item   6,266 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,626 6
\item   6,03 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,603
\item   0,786 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,078 6
\item   6 128 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 612,8
\item   5 207 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,207
\item   415,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 41,58
\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 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   111,82 ~L~ = {\color{red}  1 118,2 }~dL
\item   789,29 ~dg~ = {\color{red}  78 929 }~mg
\item   424,3 ~cg~ = {\color{red}  0,042 43 }~hg
\item   362,51 ~km~ = {\color{red}  3 625 100 }~dm
\item   7 362,1 ~mL~ = {\color{red}  0,073 621 }~hL
\item   3 358,5 ~daL~ = {\color{red}  335,85 }~hL
\item   246,51 ~hL~ = {\color{red}  24,651 }~kL
\item   592,37 ~dam~ = {\color{red}  592 370 }~cm
\item   679,05 ~km~ = {\color{red}  679 050 }~m
\item   401,45 ~hL~ = {\color{red}  4 014,5 }~daL
\end{itemize}
\end{multicols}
\end{document}
