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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 120}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{51}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   82  ~ \(\times\)  ~ 10
\item   8,87  ~ \(\times\)  ~ 1 000
\item   3,37  ~ \(\times\)  ~ 1 000
\item   173  ~ \(\times\)  ~ 1 000
\item   6,97  ~ \(\times\)  ~ 100
\item   1,4  ~ \(\times\)  ~ 100
\item   30,7  ~ \(\times\)  ~ 10
\item   0,052  ~ \(\times\)  ~ 1 000
\item   0,127  ~ \(\times\)  ~ 10
\item   90,8  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   584  ~ : ~ 10
\item   7,457  ~ : ~ 100
\item   7,249  ~ : ~ 1 000
\item   6 329  ~ : ~ 10
\item   0,589  ~ : ~ 100
\item   483,9  ~ : ~ 10
\item   6,379  ~ : ~ 1 000
\item   5,421  ~ : ~ 100
\item   5,809  ~ : ~ 100
\item   4,707  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 5,2
\item   0,58  ~ \(\times\)  ~ ... ~ = ~ 580
\item   0,023  ~ \(\times\)  ~ ... ~ = ~ 0,23
\item   3,52  ~ \(\times\)  ~ ... ~ = ~ 3 520
\item   8,04  ~ \(\times\)  ~ ... ~ = ~ 80,4
\item   0,057  ~ \(\times\)  ~ ... ~ = ~ 0,57
\item   0,15  ~ \(\times\)  ~ ... ~ = ~ 1,5
\item   617  ~ \(\times\)  ~ ... ~ = ~ 6 170
\item   0,145  ~ \(\times\)  ~ ... ~ = ~ 145
\item   730  ~ \(\times\)  ~ ... ~ = ~ 730 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,462  ~ \(\times\)  ~ 0,1
\item   7 748  ~ \(\times\)  ~ 0,1
\item   982  ~ \(\times\)  ~ 0,1
\item   90,23  ~ \(\times\)  ~ 0,01
\item   3,744  ~ \(\times\)  ~ 0,1
\item   875,7  ~ \(\times\)  ~ 0,01
\item   3,071  ~ \(\times\)  ~ 0,001
\item   0,481  ~ \(\times\)  ~ 0,1
\item   784,5  ~ \(\times\)  ~ 0,01
\item   74,33  ~ \(\times\)  ~ 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   0,346  ~ \(\times\)  ~ ... ~ = ~  0,003 46
\item   659,2  ~ \(\times\)  ~ ... ~ = ~  6,592
\item   409  ~ \(\times\)  ~ ... ~ = ~  0,409
\item   5 119  ~ \(\times\)  ~ ... ~ = ~  51,19
\item   5,048  ~ \(\times\)  ~ ... ~ = ~  0,005 048
\item   24,4  ~ \(\times\)  ~ ... ~ = ~  0,024 4
\item   926,1  ~ \(\times\)  ~ ... ~ = ~  92,61
\item   2 838  ~ \(\times\)  ~ ... ~ = ~  283,8
\item   4 145  ~ \(\times\)  ~ ... ~ = ~  414,5
\item   8 863  ~ \(\times\)  ~ ... ~ = ~  8,863
\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~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~cm~ = ...~dm
\item   1 ~km~ = ...~hm
\item   1 ~m~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 142,9 ~dam~ = ...~mm
\item   390,56 ~dL~ = ...~kL
\item   483,87 ~dam~ = ...~cm
\item   9 977,1 ~g~ = ...~kg
\item   202,56 ~dg~ = ...~mg
\item   8 977,2 ~L~ = ...~cL
\item   5 505,7 ~mL~ = ...~kL
\item   570,83 ~cL~ = ...~hL
\item   451,67 ~hm~ = ...~dm
\item   496,26 ~km~ = ...~cm
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{3500}{100}\) = \(\dfrac{350}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{220}{100}\)
\item   \(\dfrac{51}{100}\) = \(\dfrac{510}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   82  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 820}
\item   8,87  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 870}
\item   3,37  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 370}
\item   173  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 173 000}
\item   6,97  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 697}
\item   1,4  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 140}
\item   30,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 307}
\item   0,052  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 52}
\item   0,127  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,27}
\item   90,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 90 800}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   584 ~ : ~ 10 ~ = ~{\color{red} 58,4}
\item   7,457 ~ : ~ 100 ~ = ~{\color{red} 0,074 57}
\item   7,249 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 249}
\item   6 329 ~ : ~ 10 ~ = ~{\color{red} 632,9}
\item   0,589 ~ : ~ 100 ~ = ~{\color{red} 0,005 89}
\item   483,9 ~ : ~ 10 ~ = ~{\color{red} 48,39}
\item   6,379 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 379}
\item   5,421 ~ : ~ 100 ~ = ~{\color{red} 0,054 21}
\item   5,809 ~ : ~ 100 ~ = ~{\color{red} 0,058 09}
\item   4,707 ~ : ~ 100 ~ = ~{\color{red} 0,047 07}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,052 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,2
\item   0,58 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~580
\item   0,023 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,23
\item   3,52 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 520
\item   8,04 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~80,4
\item   0,057 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,57
\item   0,15 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,5
\item   617 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 170
\item   0,145 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~145
\item   730 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~730 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,462 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,246 2
}\item   7 748 ~ \(\times\)  0,1 ~ = ~{\color{red} 774,8
}\item   982 ~ \(\times\)  0,1 ~ = ~{\color{red} 98,2
}\item   90,23 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,902 3
}\item   3,744 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,374 4
}\item   875,7 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,757
}\item   3,071 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 071
}\item   0,481 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,048 1
}\item   784,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,845
}\item   74,33 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,074 33
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,346 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,003 46
\item   659,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,592
\item   409 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,409
\item   5 119 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 51,19
\item   5,048 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 048
\item   24,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,024 4
\item   926,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 92,61
\item   2 838 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 283,8
\item   4 145 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 414,5
\item   8 863 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,863
\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~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 142,9 ~dam~ = {\color{red}  61 429 000 }~mm
\item   390,56 ~dL~ = {\color{red}  0,039 056 }~kL
\item   483,87 ~dam~ = {\color{red}  483 870 }~cm
\item   9 977,1 ~g~ = {\color{red}  9,977 1 }~kg
\item   202,56 ~dg~ = {\color{red}  20 256 }~mg
\item   8 977,2 ~L~ = {\color{red}  897 720 }~cL
\item   5 505,7 ~mL~ = {\color{red}  0,005 505 7 }~kL
\item   570,83 ~cL~ = {\color{red}  0,057 083 }~hL
\item   451,67 ~hm~ = {\color{red}  451 670 }~dm
\item   496,26 ~km~ = {\color{red}  49 626 000 }~cm
\end{itemize}
\end{multicols}
\end{document}
