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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 297}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{25}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   10,7  ~ \(\times\)  ~ 10
\item   0,183  ~ \(\times\)  ~ 100
\item   0,308  ~ \(\times\)  ~ 1 000
\item   0,983  ~ \(\times\)  ~ 100
\item   3,48  ~ \(\times\)  ~ 1 000
\item   0,041  ~ \(\times\)  ~ 1 000
\item   7,79  ~ \(\times\)  ~ 10
\item   92  ~ \(\times\)  ~ 100
\item   0,222  ~ \(\times\)  ~ 1 000
\item   68,6  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,88  ~ : ~ 100
\item   0,424  ~ : ~ 1 000
\item   30,01  ~ : ~ 10
\item   76,6  ~ : ~ 10
\item   9,002  ~ : ~ 1 000
\item   95,77  ~ : ~ 1 000
\item   69,37  ~ : ~ 1 000
\item   842,6  ~ : ~ 1 000
\item   1,11  ~ : ~ 10
\item   8,137  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,128  ~ \(\times\)  ~ ... ~ = ~ 12,8
\item   0,092  ~ \(\times\)  ~ ... ~ = ~ 9,2
\item   211  ~ \(\times\)  ~ ... ~ = ~ 21 100
\item   74  ~ \(\times\)  ~ ... ~ = ~ 7 400
\item   7,91  ~ \(\times\)  ~ ... ~ = ~ 79,1
\item   1,82  ~ \(\times\)  ~ ... ~ = ~ 18,2
\item   0,058  ~ \(\times\)  ~ ... ~ = ~ 5,8
\item   0,022  ~ \(\times\)  ~ ... ~ = ~ 22
\item   33,8  ~ \(\times\)  ~ ... ~ = ~ 338
\item   38,3  ~ \(\times\)  ~ ... ~ = ~ 3 830
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   497,7  ~ \(\times\)  ~ 0,1
\item   8 877  ~ \(\times\)  ~ 0,001
\item   42,45  ~ \(\times\)  ~ 0,01
\item   0,798  ~ \(\times\)  ~ 0,001
\item   3 193  ~ \(\times\)  ~ 0,001
\item   820  ~ \(\times\)  ~ 0,01
\item   8,727  ~ \(\times\)  ~ 0,01
\item   3 703  ~ \(\times\)  ~ 0,1
\item   9,709  ~ \(\times\)  ~ 0,001
\item   427,8  ~ \(\times\)  ~ 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   196,5  ~ \(\times\)  ~ ... ~ = ~  0,196 5
\item   9 056  ~ \(\times\)  ~ ... ~ = ~  9,056
\item   4 777  ~ \(\times\)  ~ ... ~ = ~  47,77
\item   36,31  ~ \(\times\)  ~ ... ~ = ~  3,631
\item   276,6  ~ \(\times\)  ~ ... ~ = ~  0,276 6
\item   4 366  ~ \(\times\)  ~ ... ~ = ~  4,366
\item   0,642  ~ \(\times\)  ~ ... ~ = ~  0,000 642
\item   930,2  ~ \(\times\)  ~ ... ~ = ~  9,302
\item   6,97  ~ \(\times\)  ~ ... ~ = ~  0,069 7
\item   821,5  ~ \(\times\)  ~ ... ~ = ~  8,215
\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~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~dam
\item   1 ~hm~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~km~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   689,65 ~daL~ = ...~cL
\item   2 721,5 ~cg~ = ...~mg
\item   636,1 ~dam~ = ...~km
\item   1 714,1 ~cg~ = ...~g
\item   977,53 ~hL~ = ...~dL
\item   1 729,6 ~kL~ = ...~dL
\item   4 735,2 ~cm~ = ...~m
\item   422,51 ~hm~ = ...~m
\item   9 832,3 ~dam~ = ...~cm
\item   1 657,1 ~L~ = ...~mL
\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   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{6200}{100}\) = \(\dfrac{620}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{52}{10}\) = \(\dfrac{520}{100}\)
\item   \(\dfrac{25}{100}\) = \(\dfrac{250}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   10,7  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 107}
\item   0,183  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 18,3}
\item   0,308  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 308}
\item   0,983  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 98,3}
\item   3,48  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 3 480}
\item   0,041  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 41}
\item   7,79  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 77,9}
\item   92  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 200}
\item   0,222  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 222}
\item   68,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 68 600}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   81,88 ~ : ~ 100 ~ = ~{\color{red} 0,818 8}
\item   0,424 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 424}
\item   30,01 ~ : ~ 10 ~ = ~{\color{red} 3,001}
\item   76,6 ~ : ~ 10 ~ = ~{\color{red} 7,66}
\item   9,002 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 002}
\item   95,77 ~ : ~ 1 000 ~ = ~{\color{red} 0,095 77}
\item   69,37 ~ : ~ 1 000 ~ = ~{\color{red} 0,069 37}
\item   842,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,842 6}
\item   1,11 ~ : ~ 10 ~ = ~{\color{red} 0,111}
\item   8,137 ~ : ~ 10 ~ = ~{\color{red} 0,813 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,128 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~12,8
\item   0,092 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,2
\item   211 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~21 100
\item   74 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 400
\item   7,91 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~79,1
\item   1,82 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~18,2
\item   0,058 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,8
\item   0,022 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~22
\item   33,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~338
\item   38,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 830
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   497,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 49,77
}\item   8 877 ~ \(\times\)  0,001 ~ = ~{\color{red} 8,877
}\item   42,45 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,424 5
}\item   0,798 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 798
}\item   3 193 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,193
}\item   820 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,2
}\item   8,727 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,087 27
}\item   3 703 ~ \(\times\)  0,1 ~ = ~{\color{red} 370,3
}\item   9,709 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 709
}\item   427,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,427 8
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   196,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,196 5
\item   9 056 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,056
\item   4 777 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 47,77
\item   36,31 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,631
\item   276,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,276 6
\item   4 366 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,366
\item   0,642 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 642
\item   930,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,302
\item   6,97 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,069 7
\item   821,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,215
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\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   689,65 ~daL~ = {\color{red}  689 650 }~cL
\item   2 721,5 ~cg~ = {\color{red}  27 215 }~mg
\item   636,1 ~dam~ = {\color{red}  6,361 }~km
\item   1 714,1 ~cg~ = {\color{red}  17,141 }~g
\item   977,53 ~hL~ = {\color{red}  977 530 }~dL
\item   1 729,6 ~kL~ = {\color{red}  17 296 000 }~dL
\item   4 735,2 ~cm~ = {\color{red}  47,352 }~m
\item   422,51 ~hm~ = {\color{red}  42 251 }~m
\item   9 832,3 ~dam~ = {\color{red}  9 832 300 }~cm
\item   1 657,1 ~L~ = {\color{red}  1 657 100 }~mL
\end{itemize}
\end{multicols}
\end{document}
