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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 89}

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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   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,876  ~ \(\times\)  ~ 100
\item   92,6  ~ \(\times\)  ~ 100
\item   7,19  ~ \(\times\)  ~ 10
\item   59,3  ~ \(\times\)  ~ 100
\item   643  ~ \(\times\)  ~ 10
\item   0,016  ~ \(\times\)  ~ 100
\item   882  ~ \(\times\)  ~ 1 000
\item   340  ~ \(\times\)  ~ 10
\item   0,431  ~ \(\times\)  ~ 10
\item   4,23  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   560,1  ~ : ~ 10
\item   44,8  ~ : ~ 1 000
\item   3 782  ~ : ~ 10
\item   5 712  ~ : ~ 1 000
\item   581,7  ~ : ~ 1 000
\item   520,2  ~ : ~ 1 000
\item   8,042  ~ : ~ 1 000
\item   78,17  ~ : ~ 1 000
\item   86,75  ~ : ~ 1 000
\item   34,78  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,068  ~ \(\times\)  ~ ... ~ = ~ 0,68
\item   0,066  ~ \(\times\)  ~ ... ~ = ~ 66
\item   0,374  ~ \(\times\)  ~ ... ~ = ~ 37,4
\item   0,018  ~ \(\times\)  ~ ... ~ = ~ 1,8
\item   68,4  ~ \(\times\)  ~ ... ~ = ~ 6 840
\item   0,057  ~ \(\times\)  ~ ... ~ = ~ 0,57
\item   47  ~ \(\times\)  ~ ... ~ = ~ 4 700
\item   0,032  ~ \(\times\)  ~ ... ~ = ~ 32
\item   9,04  ~ \(\times\)  ~ ... ~ = ~ 90,4
\item   0,576  ~ \(\times\)  ~ ... ~ = ~ 5,76
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,212  ~ \(\times\)  ~ 0,001
\item   87,5  ~ \(\times\)  ~ 0,1
\item   5,205  ~ \(\times\)  ~ 0,1
\item   8 688  ~ \(\times\)  ~ 0,01
\item   36,26  ~ \(\times\)  ~ 0,01
\item   5 534  ~ \(\times\)  ~ 0,001
\item   4 302  ~ \(\times\)  ~ 0,01
\item   198  ~ \(\times\)  ~ 0,001
\item   8,339  ~ \(\times\)  ~ 0,1
\item   151,4  ~ \(\times\)  ~ 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   4 584  ~ \(\times\)  ~ ... ~ = ~  4,584
\item   72,61  ~ \(\times\)  ~ ... ~ = ~  7,261
\item   351,3  ~ \(\times\)  ~ ... ~ = ~  0,351 3
\item   9 638  ~ \(\times\)  ~ ... ~ = ~  963,8
\item   3,96  ~ \(\times\)  ~ ... ~ = ~  0,039 6
\item   6,504  ~ \(\times\)  ~ ... ~ = ~  0,065 04
\item   7,12  ~ \(\times\)  ~ ... ~ = ~  0,071 2
\item   22,26  ~ \(\times\)  ~ ... ~ = ~  0,222 6
\item   7,53  ~ \(\times\)  ~ ... ~ = ~  0,007 53
\item   1,732  ~ \(\times\)  ~ ... ~ = ~  0,017 32
\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 ~cm~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~km~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 771,5 ~km~ = ...~m
\item   3 785,2 ~dag~ = ...~dg
\item   5 599,3 ~mg~ = ...~hg
\item   5 626,9 ~kL~ = ...~daL
\item   3 074 ~hg~ = ...~dag
\item   9 201,6 ~dm~ = ...~m
\item   2 965,2 ~dam~ = ...~km
\item   443,47 ~m~ = ...~hm
\item   8 983,6 ~hg~ = ...~dg
\item   1 598,9 ~cg~ = ...~kg
\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   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{2800}{100}\) = \(\dfrac{280}{10}\)
\item   \(\dfrac{6}{10}\) = \(\dfrac{600}{1\,000}\)
\item   \(\dfrac{19}{10}\) = \(\dfrac{190}{100}\)
\item   \(\dfrac{30}{100}\) = \(\dfrac{300}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,876  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 87,6}
\item   92,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 260}
\item   7,19  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 71,9}
\item   59,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 930}
\item   643  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 6 430}
\item   0,016  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,6}
\item   882  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 882 000}
\item   340  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 400}
\item   0,431  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,31}
\item   4,23  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 230}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   560,1 ~ : ~ 10 ~ = ~{\color{red} 56,01}
\item   44,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,044 8}
\item   3 782 ~ : ~ 10 ~ = ~{\color{red} 378,2}
\item   5 712 ~ : ~ 1 000 ~ = ~{\color{red} 5,712}
\item   581,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,581 7}
\item   520,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,520 2}
\item   8,042 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 042}
\item   78,17 ~ : ~ 1 000 ~ = ~{\color{red} 0,078 17}
\item   86,75 ~ : ~ 1 000 ~ = ~{\color{red} 0,086 75}
\item   34,78 ~ : ~ 1 000 ~ = ~{\color{red} 0,034 78}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,068 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,68
\item   0,066 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~66
\item   0,374 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~37,4
\item   0,018 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,8
\item   68,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6 840
\item   0,057 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,57
\item   47 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 700
\item   0,032 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~32
\item   9,04 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~90,4
\item   0,576 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,76
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,212 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 212
}\item   87,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 8,75
}\item   5,205 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,520 5
}\item   8 688 ~ \(\times\)  0,01 ~ = ~{\color{red} 86,88
}\item   36,26 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,362 6
}\item   5 534 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,534
}\item   4 302 ~ \(\times\)  0,01 ~ = ~{\color{red} 43,02
}\item   198 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,198
}\item   8,339 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,833 9
}\item   151,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 15,14
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 584 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,584
\item   72,61 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,261
\item   351,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,351 3
\item   9 638 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 963,8
\item   3,96 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,039 6
\item   6,504 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,065 04
\item   7,12 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,071 2
\item   22,26 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,222 6
\item   7,53 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 53
\item   1,732 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,017 32
\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 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 771,5 ~km~ = {\color{red}  4 771 500 }~m
\item   3 785,2 ~dag~ = {\color{red}  378 520 }~dg
\item   5 599,3 ~mg~ = {\color{red}  0,055 993 }~hg
\item   5 626,9 ~kL~ = {\color{red}  562 690 }~daL
\item   3 074 ~hg~ = {\color{red}  30 740 }~dag
\item   9 201,6 ~dm~ = {\color{red}  920,16 }~m
\item   2 965,2 ~dam~ = {\color{red}  29,652 }~km
\item   443,47 ~m~ = {\color{red}  4,434 7 }~hm
\item   8 983,6 ~hg~ = {\color{red}  8 983 600 }~dg
\item   1 598,9 ~cg~ = {\color{red}  0,015 989 }~kg
\end{itemize}
\end{multicols}
\end{document}
