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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 239}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{24}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{66}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,72  ~ \(\times\)  ~ 100
\item   0,22  ~ \(\times\)  ~ 100
\item   30,5  ~ \(\times\)  ~ 1 000
\item   0,003  ~ \(\times\)  ~ 10
\item   127  ~ \(\times\)  ~ 10
\item   2,83  ~ \(\times\)  ~ 100
\item   0,004  ~ \(\times\)  ~ 1 000
\item   0,722  ~ \(\times\)  ~ 100
\item   0,778  ~ \(\times\)  ~ 10
\item   0,036  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   722,9  ~ : ~ 10
\item   398,8  ~ : ~ 100
\item   1 302  ~ : ~ 1 000
\item   824,8  ~ : ~ 10
\item   67,34  ~ : ~ 100
\item   1,795  ~ : ~ 100
\item   4 630  ~ : ~ 1 000
\item   8,224  ~ : ~ 100
\item   5,141  ~ : ~ 100
\item   25,97  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,539  ~ \(\times\)  ~ ... ~ = ~ 53,9
\item   0,498  ~ \(\times\)  ~ ... ~ = ~ 4,98
\item   72  ~ \(\times\)  ~ ... ~ = ~ 7 200
\item   5,12  ~ \(\times\)  ~ ... ~ = ~ 512
\item   0,521  ~ \(\times\)  ~ ... ~ = ~ 5,21
\item   7,07  ~ \(\times\)  ~ ... ~ = ~ 70,7
\item   6,4  ~ \(\times\)  ~ ... ~ = ~ 640
\item   0,085  ~ \(\times\)  ~ ... ~ = ~ 8,5
\item   35  ~ \(\times\)  ~ ... ~ = ~ 3 500
\item   0,021  ~ \(\times\)  ~ ... ~ = ~ 2,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   72,62  ~ \(\times\)  ~ 0,01
\item   3,745  ~ \(\times\)  ~ 0,01
\item   8,74  ~ \(\times\)  ~ 0,1
\item   958,7  ~ \(\times\)  ~ 0,1
\item   772,5  ~ \(\times\)  ~ 0,001
\item   5 079  ~ \(\times\)  ~ 0,1
\item   883,5  ~ \(\times\)  ~ 0,01
\item   8 260  ~ \(\times\)  ~ 0,1
\item   39,73  ~ \(\times\)  ~ 0,001
\item   4,83  ~ \(\times\)  ~ 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   7 534  ~ \(\times\)  ~ ... ~ = ~  753,4
\item   9 636  ~ \(\times\)  ~ ... ~ = ~  9,636
\item   0,794  ~ \(\times\)  ~ ... ~ = ~  0,000 794
\item   7 963  ~ \(\times\)  ~ ... ~ = ~  79,63
\item   2 461  ~ \(\times\)  ~ ... ~ = ~  2,461
\item   861  ~ \(\times\)  ~ ... ~ = ~  0,861
\item   56,67  ~ \(\times\)  ~ ... ~ = ~  0,566 7
\item   0,443  ~ \(\times\)  ~ ... ~ = ~  0,044 3
\item   5 768  ~ \(\times\)  ~ ... ~ = ~  5,768
\item   1,768  ~ \(\times\)  ~ ... ~ = ~  0,017 68
\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 ~m~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~hm
\item   1 ~dm~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 526,4 ~cL~ = ...~L
\item   598,17 ~dL~ = ...~cL
\item   7 606,6 ~L~ = ...~kL
\item   2 730,5 ~mm~ = ...~m
\item   118,65 ~mm~ = ...~dam
\item   6 797,3 ~g~ = ...~hg
\item   883,01 ~mg~ = ...~kg
\item   7 907,1 ~dm~ = ...~mm
\item   1 160,3 ~mL~ = ...~hL
\item   710,45 ~mL~ = ...~kL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{3000}{100}\) = \(\dfrac{300}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{24}{10}\) = \(\dfrac{240}{100}\)
\item   \(\dfrac{66}{100}\) = \(\dfrac{660}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,72  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 72}
\item   0,22  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 22}
\item   30,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 30 500}
\item   0,003  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,03}
\item   127  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 270}
\item   2,83  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 283}
\item   0,004  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4}
\item   0,722  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 72,2}
\item   0,778  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,78}
\item   0,036  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   722,9 ~ : ~ 10 ~ = ~{\color{red} 72,29}
\item   398,8 ~ : ~ 100 ~ = ~{\color{red} 3,988}
\item   1 302 ~ : ~ 1 000 ~ = ~{\color{red} 1,302}
\item   824,8 ~ : ~ 10 ~ = ~{\color{red} 82,48}
\item   67,34 ~ : ~ 100 ~ = ~{\color{red} 0,673 4}
\item   1,795 ~ : ~ 100 ~ = ~{\color{red} 0,017 95}
\item   4 630 ~ : ~ 1 000 ~ = ~{\color{red} 4,63}
\item   8,224 ~ : ~ 100 ~ = ~{\color{red} 0,082 24}
\item   5,141 ~ : ~ 100 ~ = ~{\color{red} 0,051 41}
\item   25,97 ~ : ~ 100 ~ = ~{\color{red} 0,259 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,539 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~53,9
\item   0,498 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~4,98
\item   72 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 200
\item   5,12 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~512
\item   0,521 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,21
\item   7,07 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~70,7
\item   6,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~640
\item   0,085 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,5
\item   35 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3 500
\item   0,021 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~2,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   72,62 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,726 2
}\item   3,745 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,037 45
}\item   8,74 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,874
}\item   958,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 95,87
}\item   772,5 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,772 5
}\item   5 079 ~ \(\times\)  0,1 ~ = ~{\color{red} 507,9
}\item   883,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,835
}\item   8 260 ~ \(\times\)  0,1 ~ = ~{\color{red} 826
}\item   39,73 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,039 73
}\item   4,83 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,483
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 534 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 753,4
\item   9 636 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 9,636
\item   0,794 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,000 794
\item   7 963 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 79,63
\item   2 461 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,461
\item   861 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,861
\item   56,67 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,566 7
\item   0,443 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,044 3
\item   5 768 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,768
\item   1,768 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,017 68
\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 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 526,4 ~cL~ = {\color{red}  45,264 }~L
\item   598,17 ~dL~ = {\color{red}  5 981,7 }~cL
\item   7 606,6 ~L~ = {\color{red}  7,606 6 }~kL
\item   2 730,5 ~mm~ = {\color{red}  2,730 5 }~m
\item   118,65 ~mm~ = {\color{red}  0,011 865 }~dam
\item   6 797,3 ~g~ = {\color{red}  67,973 }~hg
\item   883,01 ~mg~ = {\color{red}  0,000 883 01 }~kg
\item   7 907,1 ~dm~ = {\color{red}  790 710 }~mm
\item   1 160,3 ~mL~ = {\color{red}  0,011 603 }~hL
\item   710,45 ~mL~ = {\color{red}  0,000 710 45 }~kL
\end{itemize}
\end{multicols}
\end{document}
