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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 191}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{18}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   125  ~ \(\times\)  ~ 100
\item   5,03  ~ \(\times\)  ~ 100
\item   386  ~ \(\times\)  ~ 1 000
\item   9,1  ~ \(\times\)  ~ 100
\item   0,003  ~ \(\times\)  ~ 1 000
\item   8,3  ~ \(\times\)  ~ 10
\item   3,12  ~ \(\times\)  ~ 100
\item   87,2  ~ \(\times\)  ~ 10
\item   0,038  ~ \(\times\)  ~ 10
\item   0,017  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   803,5  ~ : ~ 100
\item   6,636  ~ : ~ 100
\item   8,713  ~ : ~ 100
\item   96,7  ~ : ~ 10
\item   3,832  ~ : ~ 10
\item   63,6  ~ : ~ 100
\item   3 015  ~ : ~ 10
\item   5 170  ~ : ~ 10
\item   4 631  ~ : ~ 100
\item   5 957  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   701  ~ \(\times\)  ~ ... ~ = ~ 7 010
\item   0,092  ~ \(\times\)  ~ ... ~ = ~ 0,92
\item   603  ~ \(\times\)  ~ ... ~ = ~ 603 000
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 4,2
\item   929  ~ \(\times\)  ~ ... ~ = ~ 9 290
\item   4,54  ~ \(\times\)  ~ ... ~ = ~ 45,4
\item   9,44  ~ \(\times\)  ~ ... ~ = ~ 944
\item   25,2  ~ \(\times\)  ~ ... ~ = ~ 25 200
\item   0,089  ~ \(\times\)  ~ ... ~ = ~ 89
\item   4,67  ~ \(\times\)  ~ ... ~ = ~ 467
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   64,97  ~ \(\times\)  ~ 0,001
\item   5 853  ~ \(\times\)  ~ 0,01
\item   7 618  ~ \(\times\)  ~ 0,001
\item   466,2  ~ \(\times\)  ~ 0,001
\item   939,2  ~ \(\times\)  ~ 0,001
\item   79,35  ~ \(\times\)  ~ 0,1
\item   477  ~ \(\times\)  ~ 0,01
\item   9 105  ~ \(\times\)  ~ 0,001
\item   915,1  ~ \(\times\)  ~ 0,001
\item   5,29  ~ \(\times\)  ~ 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   20,62  ~ \(\times\)  ~ ... ~ = ~  2,062
\item   387  ~ \(\times\)  ~ ... ~ = ~  38,7
\item   3,784  ~ \(\times\)  ~ ... ~ = ~  0,003 784
\item   1 636  ~ \(\times\)  ~ ... ~ = ~  16,36
\item   175,1  ~ \(\times\)  ~ ... ~ = ~  0,175 1
\item   83,13  ~ \(\times\)  ~ ... ~ = ~  8,313
\item   822  ~ \(\times\)  ~ ... ~ = ~  8,22
\item   3,981  ~ \(\times\)  ~ ... ~ = ~  0,398 1
\item   573  ~ \(\times\)  ~ ... ~ = ~  5,73
\item   458,8  ~ \(\times\)  ~ ... ~ = ~  0,458 8
\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~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~hm~ = ...~m
\item   1 ~km~ = ...~dm
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~hm
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   282,29 ~dag~ = ...~cg
\item   267,49 ~dam~ = ...~mm
\item   7 459,4 ~hg~ = ...~mg
\item   710,5 ~mL~ = ...~kL
\item   455,73 ~km~ = ...~dam
\item   217,52 ~cm~ = ...~dm
\item   486,7 ~mg~ = ...~hg
\item   758,22 ~g~ = ...~dg
\item   5 897,5 ~hL~ = ...~kL
\item   4 749,4 ~cm~ = ...~mm
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{620}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{18}{10}\) = \(\dfrac{180}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{890}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   125  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 12 500}
\item   5,03  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 503}
\item   386  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 386 000}
\item   9,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 910}
\item   0,003  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3}
\item   8,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 83}
\item   3,12  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 312}
\item   87,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 872}
\item   0,038  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,38}
\item   0,017  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   803,5 ~ : ~ 100 ~ = ~{\color{red} 8,035}
\item   6,636 ~ : ~ 100 ~ = ~{\color{red} 0,066 36}
\item   8,713 ~ : ~ 100 ~ = ~{\color{red} 0,087 13}
\item   96,7 ~ : ~ 10 ~ = ~{\color{red} 9,67}
\item   3,832 ~ : ~ 10 ~ = ~{\color{red} 0,383 2}
\item   63,6 ~ : ~ 100 ~ = ~{\color{red} 0,636}
\item   3 015 ~ : ~ 10 ~ = ~{\color{red} 301,5}
\item   5 170 ~ : ~ 10 ~ = ~{\color{red} 517}
\item   4 631 ~ : ~ 100 ~ = ~{\color{red} 46,31}
\item   5 957 ~ : ~ 1 000 ~ = ~{\color{red} 5,957}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   701 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7 010
\item   0,092 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,92
\item   603 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~603 000
\item   0,042 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,2
\item   929 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 290
\item   4,54 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~45,4
\item   9,44 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~944
\item   25,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~25 200
\item   0,089 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~89
\item   4,67 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~467
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   64,97 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,064 97
}\item   5 853 ~ \(\times\)  0,01 ~ = ~{\color{red} 58,53
}\item   7 618 ~ \(\times\)  0,001 ~ = ~{\color{red} 7,618
}\item   466,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,466 2
}\item   939,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,939 2
}\item   79,35 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,935
}\item   477 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,77
}\item   9 105 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,105
}\item   915,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,915 1
}\item   5,29 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 29
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   20,62 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,062
\item   387 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 38,7
\item   3,784 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 784
\item   1 636 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 16,36
\item   175,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,175 1
\item   83,13 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,313
\item   822 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,22
\item   3,981 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,398 1
\item   573 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 5,73
\item   458,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,458 8
\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~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   282,29 ~dag~ = {\color{red}  282 290 }~cg
\item   267,49 ~dam~ = {\color{red}  2 674 900 }~mm
\item   7 459,4 ~hg~ = {\color{red}  745 940 000 }~mg
\item   710,5 ~mL~ = {\color{red}  0,000 710 5 }~kL
\item   455,73 ~km~ = {\color{red}  45 573 }~dam
\item   217,52 ~cm~ = {\color{red}  21,752 }~dm
\item   486,7 ~mg~ = {\color{red}  0,004 867 }~hg
\item   758,22 ~g~ = {\color{red}  7 582,2 }~dg
\item   5 897,5 ~hL~ = {\color{red}  589,75 }~kL
\item   4 749,4 ~cm~ = {\color{red}  47 494 }~mm
\end{itemize}
\end{multicols}
\end{document}
