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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 341}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{82}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{44}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   662  ~ \(\times\)  ~ 100
\item   0,737  ~ \(\times\)  ~ 100
\item   96,9  ~ \(\times\)  ~ 10
\item   7,52  ~ \(\times\)  ~ 100
\item   0,008  ~ \(\times\)  ~ 1 000
\item   0,069  ~ \(\times\)  ~ 1 000
\item   951  ~ \(\times\)  ~ 100
\item   529  ~ \(\times\)  ~ 100
\item   812  ~ \(\times\)  ~ 100
\item   919  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,783  ~ : ~ 100
\item   8 891  ~ : ~ 1 000
\item   452,9  ~ : ~ 1 000
\item   4 264  ~ : ~ 1 000
\item   89,66  ~ : ~ 10
\item   475,2  ~ : ~ 1 000
\item   3 267  ~ : ~ 100
\item   59,99  ~ : ~ 1 000
\item   1 949  ~ : ~ 100
\item   415,4  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,452  ~ \(\times\)  ~ ... ~ = ~ 452
\item   0,094  ~ \(\times\)  ~ ... ~ = ~ 9,4
\item   0,24  ~ \(\times\)  ~ ... ~ = ~ 240
\item   19,4  ~ \(\times\)  ~ ... ~ = ~ 1 940
\item   0,236  ~ \(\times\)  ~ ... ~ = ~ 2,36
\item   90,5  ~ \(\times\)  ~ ... ~ = ~ 905
\item   8,19  ~ \(\times\)  ~ ... ~ = ~ 81,9
\item   0,386  ~ \(\times\)  ~ ... ~ = ~ 38,6
\item   0,654  ~ \(\times\)  ~ ... ~ = ~ 654
\item   608  ~ \(\times\)  ~ ... ~ = ~ 6 080
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   399,4  ~ \(\times\)  ~ 0,1
\item   298,5  ~ \(\times\)  ~ 0,01
\item   325,8  ~ \(\times\)  ~ 0,001
\item   5,805  ~ \(\times\)  ~ 0,01
\item   2,416  ~ \(\times\)  ~ 0,01
\item   9 832  ~ \(\times\)  ~ 0,1
\item   48,39  ~ \(\times\)  ~ 0,1
\item   7,108  ~ \(\times\)  ~ 0,001
\item   2 075  ~ \(\times\)  ~ 0,001
\item   70,79  ~ \(\times\)  ~ 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   814,4  ~ \(\times\)  ~ ... ~ = ~  0,814 4
\item   85,88  ~ \(\times\)  ~ ... ~ = ~  0,085 88
\item   71,4  ~ \(\times\)  ~ ... ~ = ~  7,14
\item   3 551  ~ \(\times\)  ~ ... ~ = ~  35,51
\item   729,9  ~ \(\times\)  ~ ... ~ = ~  72,99
\item   2 637  ~ \(\times\)  ~ ... ~ = ~  263,7
\item   733  ~ \(\times\)  ~ ... ~ = ~  73,3
\item   300,6  ~ \(\times\)  ~ ... ~ = ~  30,06
\item   68,54  ~ \(\times\)  ~ ... ~ = ~  6,854
\item   5 365  ~ \(\times\)  ~ ... ~ = ~  53,65
\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 ~dam~ = ...~cm
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~km
\item   1 ~cm~ = ...~dm
\item   1 ~km~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 795 ~dag~ = ...~hg
\item   8 554 ~mg~ = ...~g
\item   736,32 ~daL~ = ...~kL
\item   654,01 ~hL~ = ...~L
\item   211,72 ~hg~ = ...~kg
\item   6 621,5 ~kg~ = ...~dag
\item   566,21 ~hL~ = ...~daL
\item   3 407 ~kg~ = ...~g
\item   1 139,5 ~mm~ = ...~km
\item   7 205,7 ~mg~ = ...~kg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 = \(\dfrac{50}{10}\)
\item   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{1800}{100}\) = \(\dfrac{180}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{82}{10}\) = \(\dfrac{820}{100}\)
\item   \(\dfrac{44}{100}\) = \(\dfrac{440}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   662  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 66 200}
\item   0,737  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 73,7}
\item   96,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 969}
\item   7,52  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 752}
\item   0,008  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8}
\item   0,069  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 69}
\item   951  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 95 100}
\item   529  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 52 900}
\item   812  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 81 200}
\item   919  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 190}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,783 ~ : ~ 100 ~ = ~{\color{red} 0,047 83}
\item   8 891 ~ : ~ 1 000 ~ = ~{\color{red} 8,891}
\item   452,9 ~ : ~ 1 000 ~ = ~{\color{red} 0,452 9}
\item   4 264 ~ : ~ 1 000 ~ = ~{\color{red} 4,264}
\item   89,66 ~ : ~ 10 ~ = ~{\color{red} 8,966}
\item   475,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,475 2}
\item   3 267 ~ : ~ 100 ~ = ~{\color{red} 32,67}
\item   59,99 ~ : ~ 1 000 ~ = ~{\color{red} 0,059 99}
\item   1 949 ~ : ~ 100 ~ = ~{\color{red} 19,49}
\item   415,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,415 4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,452 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~452
\item   0,094 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,4
\item   0,24 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~240
\item   19,4 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 940
\item   0,236 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,36
\item   90,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~905
\item   8,19 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~81,9
\item   0,386 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~38,6
\item   0,654 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~654
\item   608 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~6 080
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   399,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 39,94
}\item   298,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 2,985
}\item   325,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,325 8
}\item   5,805 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,058 05
}\item   2,416 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,024 16
}\item   9 832 ~ \(\times\)  0,1 ~ = ~{\color{red} 983,2
}\item   48,39 ~ \(\times\)  0,1 ~ = ~{\color{red} 4,839
}\item   7,108 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 108
}\item   2 075 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,075
}\item   70,79 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,707 9
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   814,4 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,814 4
\item   85,88 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,085 88
\item   71,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,14
\item   3 551 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 35,51
\item   729,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 72,99
\item   2 637 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 263,7
\item   733 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 73,3
\item   300,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 30,06
\item   68,54 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,854
\item   5 365 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 53,65
\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 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 795 ~dag~ = {\color{red}  579,5 }~hg
\item   8 554 ~mg~ = {\color{red}  8,554 }~g
\item   736,32 ~daL~ = {\color{red}  7,363 2 }~kL
\item   654,01 ~hL~ = {\color{red}  65 401 }~L
\item   211,72 ~hg~ = {\color{red}  21,172 }~kg
\item   6 621,5 ~kg~ = {\color{red}  662 150 }~dag
\item   566,21 ~hL~ = {\color{red}  5 662,1 }~daL
\item   3 407 ~kg~ = {\color{red}  3 407 000 }~g
\item   1 139,5 ~mm~ = {\color{red}  0,001 139 5 }~km
\item   7 205,7 ~mg~ = {\color{red}  0,007 205 7 }~kg
\end{itemize}
\end{multicols}
\end{document}
