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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 149}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{28}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65  ~ \(\times\)  ~ 10
\item   600  ~ \(\times\)  ~ 100
\item   57  ~ \(\times\)  ~ 100
\item   833  ~ \(\times\)  ~ 10
\item   51,3  ~ \(\times\)  ~ 10
\item   403  ~ \(\times\)  ~ 10
\item   0,041  ~ \(\times\)  ~ 100
\item   0,493  ~ \(\times\)  ~ 100
\item   4,3  ~ \(\times\)  ~ 1 000
\item   49,1  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 753  ~ : ~ 100
\item   778,2  ~ : ~ 100
\item   328,7  ~ : ~ 100
\item   85,98  ~ : ~ 1 000
\item   10,6  ~ : ~ 10
\item   5 786  ~ : ~ 1 000
\item   70,14  ~ : ~ 10
\item   278,4  ~ : ~ 10
\item   20,24  ~ : ~ 1 000
\item   3 995  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,821  ~ \(\times\)  ~ ... ~ = ~ 8,21
\item   0,974  ~ \(\times\)  ~ ... ~ = ~ 9,74
\item   93,8  ~ \(\times\)  ~ ... ~ = ~ 938
\item   4,6  ~ \(\times\)  ~ ... ~ = ~ 4 600
\item   27,6  ~ \(\times\)  ~ ... ~ = ~ 276
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 51
\item   0,064  ~ \(\times\)  ~ ... ~ = ~ 0,64
\item   1,18  ~ \(\times\)  ~ ... ~ = ~ 1 180
\item   687  ~ \(\times\)  ~ ... ~ = ~ 6 870
\item   43  ~ \(\times\)  ~ ... ~ = ~ 430
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   71,14  ~ \(\times\)  ~ 0,1
\item   8,944  ~ \(\times\)  ~ 0,01
\item   120,5  ~ \(\times\)  ~ 0,001
\item   56,9  ~ \(\times\)  ~ 0,01
\item   3,76  ~ \(\times\)  ~ 0,1
\item   6,76  ~ \(\times\)  ~ 0,01
\item   1,342  ~ \(\times\)  ~ 0,01
\item   571,1  ~ \(\times\)  ~ 0,1
\item   138,6  ~ \(\times\)  ~ 0,1
\item   54,1  ~ \(\times\)  ~ 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   443,7  ~ \(\times\)  ~ ... ~ = ~  4,437
\item   0,581  ~ \(\times\)  ~ ... ~ = ~  0,005 81
\item   56,85  ~ \(\times\)  ~ ... ~ = ~  5,685
\item   2,607  ~ \(\times\)  ~ ... ~ = ~  0,002 607
\item   334,1  ~ \(\times\)  ~ ... ~ = ~  3,341
\item   646,1  ~ \(\times\)  ~ ... ~ = ~  0,646 1
\item   493,1  ~ \(\times\)  ~ ... ~ = ~  4,931
\item   24,43  ~ \(\times\)  ~ ... ~ = ~  0,244 3
\item   756,6  ~ \(\times\)  ~ ... ~ = ~  0,756 6
\item   102,4  ~ \(\times\)  ~ ... ~ = ~  0,102 4
\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 ~hm~ = ...~dm
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~dm~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~m
\item   1 ~km~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   678,21 ~L~ = ...~cL
\item   7 287,7 ~L~ = ...~mL
\item   135,87 ~km~ = ...~mm
\item   719,15 ~hL~ = ...~dL
\item   3 998,1 ~mg~ = ...~cg
\item   574,74 ~cg~ = ...~dag
\item   914,94 ~mg~ = ...~dag
\item   155,71 ~cg~ = ...~mg
\item   671,55 ~cm~ = ...~dm
\item   3 819,3 ~kg~ = ...~dag
\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   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{430}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{28}{10}\) = \(\dfrac{280}{100}\)
\item   \(\dfrac{28}{100}\) = \(\dfrac{280}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   65  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 650}
\item   600  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 60 000}
\item   57  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 700}
\item   833  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 330}
\item   51,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 513}
\item   403  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 030}
\item   0,041  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,1}
\item   0,493  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 49,3}
\item   4,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 300}
\item   49,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 49 100}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 753 ~ : ~ 100 ~ = ~{\color{red} 47,53}
\item   778,2 ~ : ~ 100 ~ = ~{\color{red} 7,782}
\item   328,7 ~ : ~ 100 ~ = ~{\color{red} 3,287}
\item   85,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,085 98}
\item   10,6 ~ : ~ 10 ~ = ~{\color{red} 1,06}
\item   5 786 ~ : ~ 1 000 ~ = ~{\color{red} 5,786}
\item   70,14 ~ : ~ 10 ~ = ~{\color{red} 7,014}
\item   278,4 ~ : ~ 10 ~ = ~{\color{red} 27,84}
\item   20,24 ~ : ~ 1 000 ~ = ~{\color{red} 0,020 24}
\item   3 995 ~ : ~ 10 ~ = ~{\color{red} 399,5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,821 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,21
\item   0,974 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,74
\item   93,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~938
\item   4,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 600
\item   27,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~276
\item   0,051 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~51
\item   0,064 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,64
\item   1,18 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 180
\item   687 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 870
\item   43 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~430
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   71,14 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,114
}\item   8,944 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,089 44
}\item   120,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,120 5
}\item   56,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,569
}\item   3,76 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,376
}\item   6,76 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,067 6
}\item   1,342 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,013 42
}\item   571,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 57,11
}\item   138,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 13,86
}\item   54,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,541
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   443,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,437
\item   0,581 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,005 81
\item   56,85 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,685
\item   2,607 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 607
\item   334,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,341
\item   646,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,646 1
\item   493,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,931
\item   24,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,244 3
\item   756,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,756 6
\item   102,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,102 4
\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 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   678,21 ~L~ = {\color{red}  67 821 }~cL
\item   7 287,7 ~L~ = {\color{red}  7 287 700 }~mL
\item   135,87 ~km~ = {\color{red}  135 870 000 }~mm
\item   719,15 ~hL~ = {\color{red}  719 150 }~dL
\item   3 998,1 ~mg~ = {\color{red}  399,81 }~cg
\item   574,74 ~cg~ = {\color{red}  0,574 74 }~dag
\item   914,94 ~mg~ = {\color{red}  0,091 494 }~dag
\item   155,71 ~cg~ = {\color{red}  1 557,1 }~mg
\item   671,55 ~cm~ = {\color{red}  67,155 }~dm
\item   3 819,3 ~kg~ = {\color{red}  381 930 }~dag
\end{itemize}
\end{multicols}
\end{document}
