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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 332}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{33}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{11}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,024  ~ \(\times\)  ~ 10
\item   0,001  ~ \(\times\)  ~ 10
\item   0,019  ~ \(\times\)  ~ 10
\item   0,053  ~ \(\times\)  ~ 10
\item   0,055  ~ \(\times\)  ~ 100
\item   0,051  ~ \(\times\)  ~ 1 000
\item   2,24  ~ \(\times\)  ~ 1 000
\item   952  ~ \(\times\)  ~ 100
\item   0,095  ~ \(\times\)  ~ 1 000
\item   1,54  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   89,51  ~ : ~ 100
\item   9 565  ~ : ~ 10
\item   88,27  ~ : ~ 100
\item   0,467  ~ : ~ 100
\item   636  ~ : ~ 100
\item   62,48  ~ : ~ 100
\item   78,53  ~ : ~ 100
\item   9 500  ~ : ~ 10
\item   39,29  ~ : ~ 100
\item   642,6  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,732  ~ \(\times\)  ~ ... ~ = ~ 73,2
\item   112  ~ \(\times\)  ~ ... ~ = ~ 1 120
\item   0,941  ~ \(\times\)  ~ ... ~ = ~ 94,1
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 0,51
\item   8,4  ~ \(\times\)  ~ ... ~ = ~ 840
\item   0,012  ~ \(\times\)  ~ ... ~ = ~ 12
\item   3,3  ~ \(\times\)  ~ ... ~ = ~ 330
\item   9,07  ~ \(\times\)  ~ ... ~ = ~ 9 070
\item   0,636  ~ \(\times\)  ~ ... ~ = ~ 63,6
\item   0,339  ~ \(\times\)  ~ ... ~ = ~ 33,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,933  ~ \(\times\)  ~ 0,01
\item   6,65  ~ \(\times\)  ~ 0,1
\item   1 861  ~ \(\times\)  ~ 0,01
\item   7 186  ~ \(\times\)  ~ 0,1
\item   749,8  ~ \(\times\)  ~ 0,1
\item   61,93  ~ \(\times\)  ~ 0,001
\item   30,23  ~ \(\times\)  ~ 0,1
\item   843  ~ \(\times\)  ~ 0,001
\item   5 178  ~ \(\times\)  ~ 0,001
\item   507,9  ~ \(\times\)  ~ 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   5 630  ~ \(\times\)  ~ ... ~ = ~  563
\item   1,499  ~ \(\times\)  ~ ... ~ = ~  0,014 99
\item   62,24  ~ \(\times\)  ~ ... ~ = ~  0,622 4
\item   230  ~ \(\times\)  ~ ... ~ = ~  0,23
\item   67,08  ~ \(\times\)  ~ ... ~ = ~  0,670 8
\item   66,32  ~ \(\times\)  ~ ... ~ = ~  6,632
\item   3,117  ~ \(\times\)  ~ ... ~ = ~  0,003 117
\item   6 451  ~ \(\times\)  ~ ... ~ = ~  645,1
\item   167,6  ~ \(\times\)  ~ ... ~ = ~  16,76
\item   34,6  ~ \(\times\)  ~ ... ~ = ~  0,346
\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 ~dam~ = ...~m
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~km~ = ...~cm
\item   1 ~cm~ = ...~hm
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   963,61 ~L~ = ...~dL
\item   950,88 ~kL~ = ...~daL
\item   780,38 ~daL~ = ...~kL
\item   5 017,4 ~kg~ = ...~dg
\item   5 539 ~cm~ = ...~dm
\item   6 682,5 ~kg~ = ...~g
\item   900,79 ~daL~ = ...~dL
\item   134,21 ~daL~ = ...~hL
\item   578,01 ~dg~ = ...~mg
\item   3 775,3 ~cg~ = ...~dg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{8600}{100}\) = \(\dfrac{860}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{33}{10}\) = \(\dfrac{330}{100}\)
\item   \(\dfrac{11}{100}\) = \(\dfrac{110}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,024  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,24}
\item   0,001  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,01}
\item   0,019  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,19}
\item   0,053  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,53}
\item   0,055  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,5}
\item   0,051  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 51}
\item   2,24  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 240}
\item   952  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 95 200}
\item   0,095  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 95}
\item   1,54  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 15,4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   89,51 ~ : ~ 100 ~ = ~{\color{red} 0,895 1}
\item   9 565 ~ : ~ 10 ~ = ~{\color{red} 956,5}
\item   88,27 ~ : ~ 100 ~ = ~{\color{red} 0,882 7}
\item   0,467 ~ : ~ 100 ~ = ~{\color{red} 0,004 67}
\item   636 ~ : ~ 100 ~ = ~{\color{red} 6,36}
\item   62,48 ~ : ~ 100 ~ = ~{\color{red} 0,624 8}
\item   78,53 ~ : ~ 100 ~ = ~{\color{red} 0,785 3}
\item   9 500 ~ : ~ 10 ~ = ~{\color{red} 950}
\item   39,29 ~ : ~ 100 ~ = ~{\color{red} 0,392 9}
\item   642,6 ~ : ~ 10 ~ = ~{\color{red} 64,26}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,732 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~73,2
\item   112 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 120
\item   0,941 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~94,1
\item   0,051 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,51
\item   8,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~840
\item   0,012 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~12
\item   3,3 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~330
\item   9,07 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 070
\item   0,636 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~63,6
\item   0,339 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~33,9
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,933 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,069 33
}\item   6,65 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,665
}\item   1 861 ~ \(\times\)  0,01 ~ = ~{\color{red} 18,61
}\item   7 186 ~ \(\times\)  0,1 ~ = ~{\color{red} 718,6
}\item   749,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 74,98
}\item   61,93 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,061 93
}\item   30,23 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,023
}\item   843 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,843
}\item   5 178 ~ \(\times\)  0,001 ~ = ~{\color{red} 5,178
}\item   507,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 50,79
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 630 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 563
\item   1,499 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,014 99
\item   62,24 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,622 4
\item   230 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,23
\item   67,08 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,670 8
\item   66,32 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,632
\item   3,117 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 117
\item   6 451 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 645,1
\item   167,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 16,76
\item   34,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,346
\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 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   963,61 ~L~ = {\color{red}  9 636,1 }~dL
\item   950,88 ~kL~ = {\color{red}  95 088 }~daL
\item   780,38 ~daL~ = {\color{red}  7,803 8 }~kL
\item   5 017,4 ~kg~ = {\color{red}  50 174 000 }~dg
\item   5 539 ~cm~ = {\color{red}  553,9 }~dm
\item   6 682,5 ~kg~ = {\color{red}  6 682 500 }~g
\item   900,79 ~daL~ = {\color{red}  90 079 }~dL
\item   134,21 ~daL~ = {\color{red}  13,421 }~hL
\item   578,01 ~dg~ = {\color{red}  57 801 }~mg
\item   3 775,3 ~cg~ = {\color{red}  377,53 }~dg
\end{itemize}
\end{multicols}
\end{document}
