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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 340}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{26}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{83}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,1  ~ \(\times\)  ~ 100
\item   0,023  ~ \(\times\)  ~ 1 000
\item   2,69  ~ \(\times\)  ~ 10
\item   0,584  ~ \(\times\)  ~ 10
\item   2,9  ~ \(\times\)  ~ 1 000
\item   20  ~ \(\times\)  ~ 10
\item   5,3  ~ \(\times\)  ~ 100
\item   34  ~ \(\times\)  ~ 10
\item   27,1  ~ \(\times\)  ~ 100
\item   1,6  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,706  ~ : ~ 1 000
\item   957,4  ~ : ~ 1 000
\item   943,2  ~ : ~ 10
\item   105,9  ~ : ~ 1 000
\item   2 696  ~ : ~ 1 000
\item   3,436  ~ : ~ 10
\item   70,84  ~ : ~ 10
\item   2,975  ~ : ~ 10
\item   69,96  ~ : ~ 10
\item   25,57  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,026  ~ \(\times\)  ~ ... ~ = ~ 2,6
\item   0,06  ~ \(\times\)  ~ ... ~ = ~ 0,6
\item   0,897  ~ \(\times\)  ~ ... ~ = ~ 8,97
\item   0,81  ~ \(\times\)  ~ ... ~ = ~ 81
\item   465  ~ \(\times\)  ~ ... ~ = ~ 4 650
\item   14,8  ~ \(\times\)  ~ ... ~ = ~ 1 480
\item   0,195  ~ \(\times\)  ~ ... ~ = ~ 195
\item   0,352  ~ \(\times\)  ~ ... ~ = ~ 3,52
\item   0,062  ~ \(\times\)  ~ ... ~ = ~ 0,62
\item   939  ~ \(\times\)  ~ ... ~ = ~ 93 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   543  ~ \(\times\)  ~ 0,01
\item   0,521  ~ \(\times\)  ~ 0,1
\item   67,2  ~ \(\times\)  ~ 0,01
\item   779  ~ \(\times\)  ~ 0,01
\item   3 586  ~ \(\times\)  ~ 0,001
\item   37,04  ~ \(\times\)  ~ 0,1
\item   439,5  ~ \(\times\)  ~ 0,1
\item   2 946  ~ \(\times\)  ~ 0,01
\item   2 676  ~ \(\times\)  ~ 0,001
\item   1 072  ~ \(\times\)  ~ 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   1,784  ~ \(\times\)  ~ ... ~ = ~  0,178 4
\item   4,012  ~ \(\times\)  ~ ... ~ = ~  0,401 2
\item   60,43  ~ \(\times\)  ~ ... ~ = ~  0,604 3
\item   8 387  ~ \(\times\)  ~ ... ~ = ~  838,7
\item   9 423  ~ \(\times\)  ~ ... ~ = ~  94,23
\item   428,1  ~ \(\times\)  ~ ... ~ = ~  0,428 1
\item   40,84  ~ \(\times\)  ~ ... ~ = ~  4,084
\item   929,3  ~ \(\times\)  ~ ... ~ = ~  0,929 3
\item   97,24  ~ \(\times\)  ~ ... ~ = ~  0,097 24
\item   6,295  ~ \(\times\)  ~ ... ~ = ~  0,629 5
\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~ = ...~cm
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~dm
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~hm
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   876,16 ~dag~ = ...~g
\item   507,9 ~L~ = ...~kL
\item   1 414,4 ~hm~ = ...~mm
\item   346,63 ~km~ = ...~mm
\item   6 334,7 ~kL~ = ...~dL
\item   9 677,9 ~hm~ = ...~m
\item   2 434 ~hg~ = ...~dag
\item   5 438,9 ~dm~ = ...~hm
\item   6 482,8 ~L~ = ...~mL
\item   370,74 ~kg~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

\needspace{5\baselineskip}
\subsection*{Exercice 1 : Recopie et complète :}

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{7800}{100}\) = \(\dfrac{780}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{26}{10}\) = \(\dfrac{260}{100}\)
\item   \(\dfrac{83}{100}\) = \(\dfrac{830}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 910}
\item   0,023  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 23}
\item   2,69  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 26,9}
\item   0,584  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,84}
\item   2,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 900}
\item   20  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 200}
\item   5,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 530}
\item   34  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 340}
\item   27,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 710}
\item   1,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 160}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,706 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 706}
\item   957,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,957 4}
\item   943,2 ~ : ~ 10 ~ = ~{\color{red} 94,32}
\item   105,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,105 9}
\item   2 696 ~ : ~ 1 000 ~ = ~{\color{red} 2,696}
\item   3,436 ~ : ~ 10 ~ = ~{\color{red} 0,343 6}
\item   70,84 ~ : ~ 10 ~ = ~{\color{red} 7,084}
\item   2,975 ~ : ~ 10 ~ = ~{\color{red} 0,297 5}
\item   69,96 ~ : ~ 10 ~ = ~{\color{red} 6,996}
\item   25,57 ~ : ~ 100 ~ = ~{\color{red} 0,255 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,026 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,6
\item   0,06 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,6
\item   0,897 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,97
\item   0,81 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~81
\item   465 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4 650
\item   14,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 480
\item   0,195 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~195
\item   0,352 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,52
\item   0,062 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,62
\item   939 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~93 900
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   543 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,43
}\item   0,521 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,052 1
}\item   67,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,672
}\item   779 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,79
}\item   3 586 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,586
}\item   37,04 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,704
}\item   439,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 43,95
}\item   2 946 ~ \(\times\)  0,01 ~ = ~{\color{red} 29,46
}\item   2 676 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,676
}\item   1 072 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,072
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,784 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,178 4
\item   4,012 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,401 2
\item   60,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,604 3
\item   8 387 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 838,7
\item   9 423 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 94,23
\item   428,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,428 1
\item   40,84 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 4,084
\item   929,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,929 3
\item   97,24 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,097 24
\item   6,295 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,629 5
\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~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   876,16 ~dag~ = {\color{red}  8 761,6 }~g
\item   507,9 ~L~ = {\color{red}  0,507 9 }~kL
\item   1 414,4 ~hm~ = {\color{red}  141 440 000 }~mm
\item   346,63 ~km~ = {\color{red}  346 630 000 }~mm
\item   6 334,7 ~kL~ = {\color{red}  63 347 000 }~dL
\item   9 677,9 ~hm~ = {\color{red}  967 790 }~m
\item   2 434 ~hg~ = {\color{red}  24 340 }~dag
\item   5 438,9 ~dm~ = {\color{red}  5,438 9 }~hm
\item   6 482,8 ~L~ = {\color{red}  6 482 800 }~mL
\item   370,74 ~kg~ = {\color{red}  37 074 000 }~cg
\end{itemize}
\end{multicols}
\end{document}
