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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 281}

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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{67}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,098  ~ \(\times\)  ~ 10
\item   787  ~ \(\times\)  ~ 1 000
\item   7,84  ~ \(\times\)  ~ 1 000
\item   172  ~ \(\times\)  ~ 100
\item   0,004  ~ \(\times\)  ~ 1 000
\item   15,3  ~ \(\times\)  ~ 10
\item   4,26  ~ \(\times\)  ~ 10
\item   0,973  ~ \(\times\)  ~ 100
\item   0,089  ~ \(\times\)  ~ 1 000
\item   92  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,5  ~ : ~ 10
\item   4,216  ~ : ~ 10
\item   5,859  ~ : ~ 10
\item   88,79  ~ : ~ 1 000
\item   4,149  ~ : ~ 1 000
\item   2,734  ~ : ~ 10
\item   7,331  ~ : ~ 100
\item   6 856  ~ : ~ 1 000
\item   0,521  ~ : ~ 1 000
\item   78,63  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   597  ~ \(\times\)  ~ ... ~ = ~ 59 700
\item   421  ~ \(\times\)  ~ ... ~ = ~ 421 000
\item   4,76  ~ \(\times\)  ~ ... ~ = ~ 4 760
\item   7,16  ~ \(\times\)  ~ ... ~ = ~ 716
\item   157  ~ \(\times\)  ~ ... ~ = ~ 15 700
\item   0,069  ~ \(\times\)  ~ ... ~ = ~ 0,69
\item   5,09  ~ \(\times\)  ~ ... ~ = ~ 509
\item   0,02  ~ \(\times\)  ~ ... ~ = ~ 0,2
\item   218  ~ \(\times\)  ~ ... ~ = ~ 21 800
\item   6,07  ~ \(\times\)  ~ ... ~ = ~ 60,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,8  ~ \(\times\)  ~ 0,001
\item   6,792  ~ \(\times\)  ~ 0,001
\item   5,724  ~ \(\times\)  ~ 0,01
\item   3,714  ~ \(\times\)  ~ 0,01
\item   75,14  ~ \(\times\)  ~ 0,001
\item   8 817  ~ \(\times\)  ~ 0,1
\item   27,6  ~ \(\times\)  ~ 0,1
\item   929,3  ~ \(\times\)  ~ 0,1
\item   5,986  ~ \(\times\)  ~ 0,01
\item   3,107  ~ \(\times\)  ~ 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   4,094  ~ \(\times\)  ~ ... ~ = ~  0,409 4
\item   2 845  ~ \(\times\)  ~ ... ~ = ~  284,5
\item   5,071  ~ \(\times\)  ~ ... ~ = ~  0,050 71
\item   19,62  ~ \(\times\)  ~ ... ~ = ~  0,019 62
\item   941,1  ~ \(\times\)  ~ ... ~ = ~  0,941 1
\item   8,937  ~ \(\times\)  ~ ... ~ = ~  0,008 937
\item   151,4  ~ \(\times\)  ~ ... ~ = ~  15,14
\item   4 895  ~ \(\times\)  ~ ... ~ = ~  48,95
\item   12,65  ~ \(\times\)  ~ ... ~ = ~  0,126 5
\item   1 758  ~ \(\times\)  ~ ... ~ = ~  1,758
\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 ~cm~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~hm~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 879,6 ~m~ = ...~dm
\item   6 883,5 ~kL~ = ...~cL
\item   7 528,3 ~kg~ = ...~dag
\item   487,25 ~g~ = ...~cg
\item   9 516,9 ~hg~ = ...~mg
\item   9 027,3 ~m~ = ...~hm
\item   1 828,5 ~hg~ = ...~kg
\item   445,26 ~hL~ = ...~dL
\item   362,86 ~dm~ = ...~cm
\item   5 684,1 ~L~ = ...~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   1 = \(\dfrac{10}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{430}{10}\)
\item   \(\dfrac{2}{10}\) = \(\dfrac{200}{1\,000}\)
\item   \(\dfrac{68}{10}\) = \(\dfrac{680}{100}\)
\item   \(\dfrac{67}{100}\) = \(\dfrac{670}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,098  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,98}
\item   787  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 787 000}
\item   7,84  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 840}
\item   172  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 17 200}
\item   0,004  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4}
\item   15,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 153}
\item   4,26  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 42,6}
\item   0,973  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 97,3}
\item   0,089  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 89}
\item   92  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 92 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,5 ~ : ~ 10 ~ = ~{\color{red} 2,75}
\item   4,216 ~ : ~ 10 ~ = ~{\color{red} 0,421 6}
\item   5,859 ~ : ~ 10 ~ = ~{\color{red} 0,585 9}
\item   88,79 ~ : ~ 1 000 ~ = ~{\color{red} 0,088 79}
\item   4,149 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 149}
\item   2,734 ~ : ~ 10 ~ = ~{\color{red} 0,273 4}
\item   7,331 ~ : ~ 100 ~ = ~{\color{red} 0,073 31}
\item   6 856 ~ : ~ 1 000 ~ = ~{\color{red} 6,856}
\item   0,521 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 521}
\item   78,63 ~ : ~ 1 000 ~ = ~{\color{red} 0,078 63}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   597 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~59 700
\item   421 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~421 000
\item   4,76 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 760
\item   7,16 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~716
\item   157 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~15 700
\item   0,069 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,69
\item   5,09 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~509
\item   0,02 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,2
\item   218 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~21 800
\item   6,07 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~60,7
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   39,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,039 8
}\item   6,792 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 792
}\item   5,724 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,057 24
}\item   3,714 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,037 14
}\item   75,14 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,075 14
}\item   8 817 ~ \(\times\)  0,1 ~ = ~{\color{red} 881,7
}\item   27,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,76
}\item   929,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 92,93
}\item   5,986 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,059 86
}\item   3,107 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,310 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   4,094 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,409 4
\item   2 845 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 284,5
\item   5,071 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,050 71
\item   19,62 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,019 62
\item   941,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,941 1
\item   8,937 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 937
\item   151,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 15,14
\item   4 895 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 48,95
\item   12,65 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,126 5
\item   1 758 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,758
\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 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 879,6 ~m~ = {\color{red}  48 796 }~dm
\item   6 883,5 ~kL~ = {\color{red}  688 350 000 }~cL
\item   7 528,3 ~kg~ = {\color{red}  752 830 }~dag
\item   487,25 ~g~ = {\color{red}  48 725 }~cg
\item   9 516,9 ~hg~ = {\color{red}  951 690 000 }~mg
\item   9 027,3 ~m~ = {\color{red}  90,273 }~hm
\item   1 828,5 ~hg~ = {\color{red}  182,85 }~kg
\item   445,26 ~hL~ = {\color{red}  445 260 }~dL
\item   362,86 ~dm~ = {\color{red}  3 628,6 }~cm
\item   5 684,1 ~L~ = {\color{red}  56 841 }~dL
\end{itemize}
\end{multicols}
\end{document}
