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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 387}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{38}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,89  ~ \(\times\)  ~ 1 000
\item   871  ~ \(\times\)  ~ 1 000
\item   75,3  ~ \(\times\)  ~ 10
\item   9,8  ~ \(\times\)  ~ 1 000
\item   4,35  ~ \(\times\)  ~ 10
\item   90,8  ~ \(\times\)  ~ 1 000
\item   0,053  ~ \(\times\)  ~ 10
\item   0,05  ~ \(\times\)  ~ 10
\item   50,4  ~ \(\times\)  ~ 10
\item   0,024  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 036  ~ : ~ 1 000
\item   244  ~ : ~ 10
\item   968  ~ : ~ 10
\item   14,94  ~ : ~ 100
\item   4,3  ~ : ~ 100
\item   325  ~ : ~ 10
\item   20,49  ~ : ~ 10
\item   3 906  ~ : ~ 1 000
\item   7 240  ~ : ~ 10
\item   35,58  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,49  ~ \(\times\)  ~ ... ~ = ~ 4 490
\item   0,811  ~ \(\times\)  ~ ... ~ = ~ 81,1
\item   17  ~ \(\times\)  ~ ... ~ = ~ 1 700
\item   0,044  ~ \(\times\)  ~ ... ~ = ~ 0,44
\item   0,272  ~ \(\times\)  ~ ... ~ = ~ 27,2
\item   0,006  ~ \(\times\)  ~ ... ~ = ~ 6
\item   3,65  ~ \(\times\)  ~ ... ~ = ~ 3 650
\item   0,2  ~ \(\times\)  ~ ... ~ = ~ 200
\item   334  ~ \(\times\)  ~ ... ~ = ~ 334 000
\item   394  ~ \(\times\)  ~ ... ~ = ~ 3 940
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 554  ~ \(\times\)  ~ 0,1
\item   17,16  ~ \(\times\)  ~ 0,001
\item   8 823  ~ \(\times\)  ~ 0,01
\item   4,677  ~ \(\times\)  ~ 0,01
\item   252,1  ~ \(\times\)  ~ 0,01
\item   7 180  ~ \(\times\)  ~ 0,01
\item   9 874  ~ \(\times\)  ~ 0,01
\item   1 780  ~ \(\times\)  ~ 0,1
\item   5,017  ~ \(\times\)  ~ 0,01
\item   292,5  ~ \(\times\)  ~ 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   626  ~ \(\times\)  ~ ... ~ = ~  62,6
\item   46,69  ~ \(\times\)  ~ ... ~ = ~  0,046 69
\item   6,621  ~ \(\times\)  ~ ... ~ = ~  0,662 1
\item   5 463  ~ \(\times\)  ~ ... ~ = ~  54,63
\item   634,4  ~ \(\times\)  ~ ... ~ = ~  0,634 4
\item   94,2  ~ \(\times\)  ~ ... ~ = ~  0,942
\item   955  ~ \(\times\)  ~ ... ~ = ~  0,955
\item   52,33  ~ \(\times\)  ~ ... ~ = ~  0,523 3
\item   7 944  ~ \(\times\)  ~ ... ~ = ~  79,44
\item   3 055  ~ \(\times\)  ~ ... ~ = ~  30,55
\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~ = ...~dm
\item   1 ~hm~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~km~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~dam~ = ...~cm
\item   1 ~hm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 726,7 ~kL~ = ...~hL
\item   769,75 ~L~ = ...~kL
\item   9 572 ~daL~ = ...~kL
\item   755,27 ~cm~ = ...~m
\item   591,61 ~hg~ = ...~g
\item   3 220,9 ~hm~ = ...~km
\item   774,7 ~cL~ = ...~hL
\item   518,02 ~g~ = ...~mg
\item   984,57 ~dg~ = ...~hg
\item   7 334,2 ~mg~ = ...~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   8 = \(\dfrac{80}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{1600}{100}\) = \(\dfrac{160}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{38}{10}\) = \(\dfrac{380}{100}\)
\item   \(\dfrac{35}{100}\) = \(\dfrac{350}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,89  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 890}
\item   871  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 871 000}
\item   75,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 753}
\item   9,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 800}
\item   4,35  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 43,5}
\item   90,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 90 800}
\item   0,053  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,53}
\item   0,05  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,5}
\item   50,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 504}
\item   0,024  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 24}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 036 ~ : ~ 1 000 ~ = ~{\color{red} 2,036}
\item   244 ~ : ~ 10 ~ = ~{\color{red} 24,4}
\item   968 ~ : ~ 10 ~ = ~{\color{red} 96,8}
\item   14,94 ~ : ~ 100 ~ = ~{\color{red} 0,149 4}
\item   4,3 ~ : ~ 100 ~ = ~{\color{red} 0,043}
\item   325 ~ : ~ 10 ~ = ~{\color{red} 32,5}
\item   20,49 ~ : ~ 10 ~ = ~{\color{red} 2,049}
\item   3 906 ~ : ~ 1 000 ~ = ~{\color{red} 3,906}
\item   7 240 ~ : ~ 10 ~ = ~{\color{red} 724}
\item   35,58 ~ : ~ 100 ~ = ~{\color{red} 0,355 8}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~4 490
\item   0,811 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~81,1
\item   17 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 700
\item   0,044 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,44
\item   0,272 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~27,2
\item   0,006 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6
\item   3,65 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 650
\item   0,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~200
\item   334 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~334 000
\item   394 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 940
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 554 ~ \(\times\)  0,1 ~ = ~{\color{red} 555,4
}\item   17,16 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,017 16
}\item   8 823 ~ \(\times\)  0,01 ~ = ~{\color{red} 88,23
}\item   4,677 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,046 77
}\item   252,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,521
}\item   7 180 ~ \(\times\)  0,01 ~ = ~{\color{red} 71,8
}\item   9 874 ~ \(\times\)  0,01 ~ = ~{\color{red} 98,74
}\item   1 780 ~ \(\times\)  0,1 ~ = ~{\color{red} 178
}\item   5,017 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,050 17
}\item   292,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 29,25
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   626 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 62,6
\item   46,69 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,046 69
\item   6,621 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,662 1
\item   5 463 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 54,63
\item   634,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,634 4
\item   94,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,942
\item   955 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,955
\item   52,33 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,523 3
\item   7 944 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 79,44
\item   3 055 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 30,55
\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~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 726,7 ~kL~ = {\color{red}  67 267 }~hL
\item   769,75 ~L~ = {\color{red}  0,769 75 }~kL
\item   9 572 ~daL~ = {\color{red}  95,72 }~kL
\item   755,27 ~cm~ = {\color{red}  7,552 7 }~m
\item   591,61 ~hg~ = {\color{red}  59 161 }~g
\item   3 220,9 ~hm~ = {\color{red}  322,09 }~km
\item   774,7 ~cL~ = {\color{red}  0,077 47 }~hL
\item   518,02 ~g~ = {\color{red}  518 020 }~mg
\item   984,57 ~dg~ = {\color{red}  0,984 57 }~hg
\item   7 334,2 ~mg~ = {\color{red}  0,007 334 2 }~kg
\end{itemize}
\end{multicols}
\end{document}
