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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 328}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{21}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,651  ~ \(\times\)  ~ 1 000
\item   0,838  ~ \(\times\)  ~ 10
\item   5,83  ~ \(\times\)  ~ 1 000
\item   9,52  ~ \(\times\)  ~ 100
\item   7,36  ~ \(\times\)  ~ 100
\item   70,5  ~ \(\times\)  ~ 1 000
\item   0,888  ~ \(\times\)  ~ 10
\item   1,35  ~ \(\times\)  ~ 1 000
\item   63,2  ~ \(\times\)  ~ 10
\item   210  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 692  ~ : ~ 1 000
\item   925  ~ : ~ 10
\item   93,44  ~ : ~ 1 000
\item   1,904  ~ : ~ 100
\item   1 351  ~ : ~ 1 000
\item   32,44  ~ : ~ 100
\item   4,396  ~ : ~ 100
\item   780,7  ~ : ~ 10
\item   2 351  ~ : ~ 100
\item   7,977  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   74  ~ \(\times\)  ~ ... ~ = ~ 74 000
\item   47,9  ~ \(\times\)  ~ ... ~ = ~ 47 900
\item   70,8  ~ \(\times\)  ~ ... ~ = ~ 708
\item   8,62  ~ \(\times\)  ~ ... ~ = ~ 8 620
\item   91,1  ~ \(\times\)  ~ ... ~ = ~ 911
\item   18,2  ~ \(\times\)  ~ ... ~ = ~ 182
\item   74,5  ~ \(\times\)  ~ ... ~ = ~ 7 450
\item   2,28  ~ \(\times\)  ~ ... ~ = ~ 2 280
\item   85,9  ~ \(\times\)  ~ ... ~ = ~ 859
\item   35,3  ~ \(\times\)  ~ ... ~ = ~ 353
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   286,9  ~ \(\times\)  ~ 0,1
\item   7 299  ~ \(\times\)  ~ 0,1
\item   0,462  ~ \(\times\)  ~ 0,001
\item   7,691  ~ \(\times\)  ~ 0,001
\item   113  ~ \(\times\)  ~ 0,1
\item   415  ~ \(\times\)  ~ 0,01
\item   5,436  ~ \(\times\)  ~ 0,001
\item   2,83  ~ \(\times\)  ~ 0,01
\item   8 955  ~ \(\times\)  ~ 0,01
\item   5,519  ~ \(\times\)  ~ 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   7,526  ~ \(\times\)  ~ ... ~ = ~  0,752 6
\item   6,68  ~ \(\times\)  ~ ... ~ = ~  0,668
\item   11,31  ~ \(\times\)  ~ ... ~ = ~  0,113 1
\item   297,7  ~ \(\times\)  ~ ... ~ = ~  0,297 7
\item   948,8  ~ \(\times\)  ~ ... ~ = ~  0,948 8
\item   280,7  ~ \(\times\)  ~ ... ~ = ~  0,280 7
\item   79,1  ~ \(\times\)  ~ ... ~ = ~  7,91
\item   25,83  ~ \(\times\)  ~ ... ~ = ~  0,025 83
\item   4,958  ~ \(\times\)  ~ ... ~ = ~  0,049 58
\item   341,5  ~ \(\times\)  ~ ... ~ = ~  34,15
\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 ~dam~ = ...~hm
\item   1 ~m~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~m~ = ...~cm
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   703,04 ~cL~ = ...~hL
\item   763,48 ~g~ = ...~dg
\item   2 973,8 ~mm~ = ...~dam
\item   498,42 ~m~ = ...~dam
\item   8 138,3 ~dL~ = ...~hL
\item   2 654,1 ~hm~ = ...~cm
\item   3 353,8 ~dg~ = ...~mg
\item   735,69 ~dm~ = ...~km
\item   7 447,6 ~dL~ = ...~daL
\item   199,53 ~hL~ = ...~cL
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{7000}{100}\) = \(\dfrac{700}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{21}{10}\) = \(\dfrac{210}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{730}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,651  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 651}
\item   0,838  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,38}
\item   5,83  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 830}
\item   9,52  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 952}
\item   7,36  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 736}
\item   70,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 70 500}
\item   0,888  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,88}
\item   1,35  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 350}
\item   63,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 632}
\item   210  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 21 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 692 ~ : ~ 1 000 ~ = ~{\color{red} 1,692}
\item   925 ~ : ~ 10 ~ = ~{\color{red} 92,5}
\item   93,44 ~ : ~ 1 000 ~ = ~{\color{red} 0,093 44}
\item   1,904 ~ : ~ 100 ~ = ~{\color{red} 0,019 04}
\item   1 351 ~ : ~ 1 000 ~ = ~{\color{red} 1,351}
\item   32,44 ~ : ~ 100 ~ = ~{\color{red} 0,324 4}
\item   4,396 ~ : ~ 100 ~ = ~{\color{red} 0,043 96}
\item   780,7 ~ : ~ 10 ~ = ~{\color{red} 78,07}
\item   2 351 ~ : ~ 100 ~ = ~{\color{red} 23,51}
\item   7,977 ~ : ~ 10 ~ = ~{\color{red} 0,797 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   74 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~74 000
\item   47,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~47 900
\item   70,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~708
\item   8,62 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 620
\item   91,1 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~911
\item   18,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~182
\item   74,5 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 450
\item   2,28 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 280
\item   85,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~859
\item   35,3 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~353
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   286,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 28,69
}\item   7 299 ~ \(\times\)  0,1 ~ = ~{\color{red} 729,9
}\item   0,462 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 462
}\item   7,691 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 691
}\item   113 ~ \(\times\)  0,1 ~ = ~{\color{red} 11,3
}\item   415 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,15
}\item   5,436 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,005 436
}\item   2,83 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,028 3
}\item   8 955 ~ \(\times\)  0,01 ~ = ~{\color{red} 89,55
}\item   5,519 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,055 19
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,526 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,752 6
\item   6,68 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,668
\item   11,31 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,113 1
\item   297,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,297 7
\item   948,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,948 8
\item   280,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,280 7
\item   79,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,91
\item   25,83 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,025 83
\item   4,958 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,049 58
\item   341,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 34,15
\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 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   703,04 ~cL~ = {\color{red}  0,070 304 }~hL
\item   763,48 ~g~ = {\color{red}  7 634,8 }~dg
\item   2 973,8 ~mm~ = {\color{red}  0,297 38 }~dam
\item   498,42 ~m~ = {\color{red}  49,842 }~dam
\item   8 138,3 ~dL~ = {\color{red}  8,138 3 }~hL
\item   2 654,1 ~hm~ = {\color{red}  26 541 000 }~cm
\item   3 353,8 ~dg~ = {\color{red}  335 380 }~mg
\item   735,69 ~dm~ = {\color{red}  0,073 569 }~km
\item   7 447,6 ~dL~ = {\color{red}  74,476 }~daL
\item   199,53 ~hL~ = {\color{red}  1 995 300 }~cL
\end{itemize}
\end{multicols}
\end{document}
