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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 261}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{80}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{99}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,16  ~ \(\times\)  ~ 10
\item   7,93  ~ \(\times\)  ~ 100
\item   0,487  ~ \(\times\)  ~ 10
\item   26,4  ~ \(\times\)  ~ 1 000
\item   0,276  ~ \(\times\)  ~ 10
\item   0,89  ~ \(\times\)  ~ 10
\item   948  ~ \(\times\)  ~ 100
\item   2,6  ~ \(\times\)  ~ 1 000
\item   0,052  ~ \(\times\)  ~ 1 000
\item   488  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   93,52  ~ : ~ 100
\item   2,859  ~ : ~ 1 000
\item   970,4  ~ : ~ 100
\item   2,589  ~ : ~ 10
\item   55,71  ~ : ~ 1 000
\item   3,795  ~ : ~ 10
\item   718  ~ : ~ 1 000
\item   30,75  ~ : ~ 1 000
\item   40,56  ~ : ~ 1 000
\item   6 255  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   855  ~ \(\times\)  ~ ... ~ = ~ 855 000
\item   73,1  ~ \(\times\)  ~ ... ~ = ~ 7 310
\item   7,59  ~ \(\times\)  ~ ... ~ = ~ 75,9
\item   0,069  ~ \(\times\)  ~ ... ~ = ~ 0,69
\item   0,446  ~ \(\times\)  ~ ... ~ = ~ 446
\item   71,2  ~ \(\times\)  ~ ... ~ = ~ 71 200
\item   8,87  ~ \(\times\)  ~ ... ~ = ~ 8 870
\item   89,9  ~ \(\times\)  ~ ... ~ = ~ 899
\item   0,023  ~ \(\times\)  ~ ... ~ = ~ 23
\item   0,748  ~ \(\times\)  ~ ... ~ = ~ 74,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,2  ~ \(\times\)  ~ 0,01
\item   829  ~ \(\times\)  ~ 0,001
\item   5,692  ~ \(\times\)  ~ 0,01
\item   84,63  ~ \(\times\)  ~ 0,001
\item   66,08  ~ \(\times\)  ~ 0,001
\item   63,94  ~ \(\times\)  ~ 0,1
\item   6,933  ~ \(\times\)  ~ 0,1
\item   9 486  ~ \(\times\)  ~ 0,001
\item   30,28  ~ \(\times\)  ~ 0,01
\item   104,4  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   38,46  ~ \(\times\)  ~ ... ~ = ~  0,038 46
\item   4,469  ~ \(\times\)  ~ ... ~ = ~  0,446 9
\item   536,2  ~ \(\times\)  ~ ... ~ = ~  53,62
\item   31,32  ~ \(\times\)  ~ ... ~ = ~  0,031 32
\item   6,176  ~ \(\times\)  ~ ... ~ = ~  0,061 76
\item   22,99  ~ \(\times\)  ~ ... ~ = ~  0,229 9
\item   1,462  ~ \(\times\)  ~ ... ~ = ~  0,001 462
\item   71,91  ~ \(\times\)  ~ ... ~ = ~  0,719 1
\item   59,47  ~ \(\times\)  ~ ... ~ = ~  0,594 7
\item   18,49  ~ \(\times\)  ~ ... ~ = ~  0,018 49
\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~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~m
\item   1 ~dm~ = ...~m
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 627,4 ~cL~ = ...~kL
\item   914,2 ~L~ = ...~daL
\item   390,61 ~mm~ = ...~cm
\item   8 295,6 ~hL~ = ...~kL
\item   117,15 ~dm~ = ...~km
\item   5 266,9 ~mg~ = ...~cg
\item   6 053,1 ~cm~ = ...~dam
\item   787,34 ~dL~ = ...~cL
\item   379,96 ~km~ = ...~mm
\item   3 637,7 ~mL~ = ...~L
\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   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{3300}{100}\) = \(\dfrac{330}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{80}{10}\) = \(\dfrac{800}{100}\)
\item   \(\dfrac{99}{100}\) = \(\dfrac{990}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,16  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 61,6}
\item   7,93  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 793}
\item   0,487  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,87}
\item   26,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 26 400}
\item   0,276  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2,76}
\item   0,89  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,9}
\item   948  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 94 800}
\item   2,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 2 600}
\item   0,052  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 52}
\item   488  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4 880}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   93,52 ~ : ~ 100 ~ = ~{\color{red} 0,935 2}
\item   2,859 ~ : ~ 1 000 ~ = ~{\color{red} 0,002 859}
\item   970,4 ~ : ~ 100 ~ = ~{\color{red} 9,704}
\item   2,589 ~ : ~ 10 ~ = ~{\color{red} 0,258 9}
\item   55,71 ~ : ~ 1 000 ~ = ~{\color{red} 0,055 71}
\item   3,795 ~ : ~ 10 ~ = ~{\color{red} 0,379 5}
\item   718 ~ : ~ 1 000 ~ = ~{\color{red} 0,718}
\item   30,75 ~ : ~ 1 000 ~ = ~{\color{red} 0,030 75}
\item   40,56 ~ : ~ 1 000 ~ = ~{\color{red} 0,040 56}
\item   6 255 ~ : ~ 10 ~ = ~{\color{red} 625,5}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   855 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~855 000
\item   73,1 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 310
\item   7,59 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~75,9
\item   0,069 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,69
\item   0,446 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~446
\item   71,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~71 200
\item   8,87 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 870
\item   89,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~899
\item   0,023 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~23
\item   0,748 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~74,8
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   29,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,292
}\item   829 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,829
}\item   5,692 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,056 92
}\item   84,63 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,084 63
}\item   66,08 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,066 08
}\item   63,94 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,394
}\item   6,933 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,693 3
}\item   9 486 ~ \(\times\)  0,001 ~ = ~{\color{red} 9,486
}\item   30,28 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,302 8
}\item   104,4 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,044
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   38,46 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,038 46
\item   4,469 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,446 9
\item   536,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 53,62
\item   31,32 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,031 32
\item   6,176 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,061 76
\item   22,99 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,229 9
\item   1,462 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 462
\item   71,91 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,719 1
\item   59,47 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,594 7
\item   18,49 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,018 49
\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~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 627,4 ~cL~ = {\color{red}  0,066 274 }~kL
\item   914,2 ~L~ = {\color{red}  91,42 }~daL
\item   390,61 ~mm~ = {\color{red}  39,061 }~cm
\item   8 295,6 ~hL~ = {\color{red}  829,56 }~kL
\item   117,15 ~dm~ = {\color{red}  0,011 715 }~km
\item   5 266,9 ~mg~ = {\color{red}  526,69 }~cg
\item   6 053,1 ~cm~ = {\color{red}  6,053 1 }~dam
\item   787,34 ~dL~ = {\color{red}  7 873,4 }~cL
\item   379,96 ~km~ = {\color{red}  379 960 000 }~mm
\item   3 637,7 ~mL~ = {\color{red}  3,637 7 }~L
\end{itemize}
\end{multicols}
\end{document}
