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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 355}

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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   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{54}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,016  ~ \(\times\)  ~ 1 000
\item   556  ~ \(\times\)  ~ 10
\item   0,23  ~ \(\times\)  ~ 1 000
\item   0,053  ~ \(\times\)  ~ 1 000
\item   0,051  ~ \(\times\)  ~ 1 000
\item   33,8  ~ \(\times\)  ~ 100
\item   37,2  ~ \(\times\)  ~ 100
\item   3,49  ~ \(\times\)  ~ 10
\item   0,042  ~ \(\times\)  ~ 1 000
\item   0,51  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 078  ~ : ~ 1 000
\item   2 523  ~ : ~ 10
\item   4 869  ~ : ~ 1 000
\item   77,47  ~ : ~ 1 000
\item   926,6  ~ : ~ 10
\item   9,352  ~ : ~ 10
\item   5,138  ~ : ~ 100
\item   9,741  ~ : ~ 1 000
\item   679,1  ~ : ~ 100
\item   5 874  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,5  ~ \(\times\)  ~ ... ~ = ~ 76 500
\item   0,061  ~ \(\times\)  ~ ... ~ = ~ 61
\item   9,2  ~ \(\times\)  ~ ... ~ = ~ 92
\item   0,721  ~ \(\times\)  ~ ... ~ = ~ 7,21
\item   2,18  ~ \(\times\)  ~ ... ~ = ~ 2 180
\item   7,8  ~ \(\times\)  ~ ... ~ = ~ 78
\item   80  ~ \(\times\)  ~ ... ~ = ~ 8 000
\item   0,087  ~ \(\times\)  ~ ... ~ = ~ 87
\item   5,52  ~ \(\times\)  ~ ... ~ = ~ 55,2
\item   0,041  ~ \(\times\)  ~ ... ~ = ~ 0,41
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,24  ~ \(\times\)  ~ 0,01
\item   5 494  ~ \(\times\)  ~ 0,1
\item   638,7  ~ \(\times\)  ~ 0,001
\item   4,921  ~ \(\times\)  ~ 0,1
\item   4,273  ~ \(\times\)  ~ 0,01
\item   18,43  ~ \(\times\)  ~ 0,01
\item   277,2  ~ \(\times\)  ~ 0,1
\item   7,36  ~ \(\times\)  ~ 0,01
\item   9,242  ~ \(\times\)  ~ 0,001
\item   5,127  ~ \(\times\)  ~ 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   64,27  ~ \(\times\)  ~ ... ~ = ~  6,427
\item   2,224  ~ \(\times\)  ~ ... ~ = ~  0,002 224
\item   1 675  ~ \(\times\)  ~ ... ~ = ~  1,675
\item   101  ~ \(\times\)  ~ ... ~ = ~  10,1
\item   740,3  ~ \(\times\)  ~ ... ~ = ~  7,403
\item   8,872  ~ \(\times\)  ~ ... ~ = ~  0,887 2
\item   19,77  ~ \(\times\)  ~ ... ~ = ~  0,019 77
\item   102,8  ~ \(\times\)  ~ ... ~ = ~  0,102 8
\item   7,123  ~ \(\times\)  ~ ... ~ = ~  0,071 23
\item   305,9  ~ \(\times\)  ~ ... ~ = ~  3,059
\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 ~km~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~dam
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 620,2 ~hL~ = ...~L
\item   135,09 ~mm~ = ...~km
\item   610,81 ~dg~ = ...~mg
\item   267,82 ~km~ = ...~dam
\item   8 542,6 ~cL~ = ...~hL
\item   184,23 ~mm~ = ...~hm
\item   6 953,3 ~dag~ = ...~g
\item   9 408,7 ~dam~ = ...~km
\item   5 903,8 ~mL~ = ...~dL
\item   211,9 ~L~ = ...~hL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 = \(\dfrac{30}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{8900}{100}\) = \(\dfrac{890}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{54}{10}\) = \(\dfrac{540}{100}\)
\item   \(\dfrac{17}{100}\) = \(\dfrac{170}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,016  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 16}
\item   556  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5 560}
\item   0,23  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 230}
\item   0,053  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 53}
\item   0,051  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 51}
\item   33,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 380}
\item   37,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 720}
\item   3,49  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 34,9}
\item   0,042  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 42}
\item   0,51  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 51}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 078 ~ : ~ 1 000 ~ = ~{\color{red} 7,078}
\item   2 523 ~ : ~ 10 ~ = ~{\color{red} 252,3}
\item   4 869 ~ : ~ 1 000 ~ = ~{\color{red} 4,869}
\item   77,47 ~ : ~ 1 000 ~ = ~{\color{red} 0,077 47}
\item   926,6 ~ : ~ 10 ~ = ~{\color{red} 92,66}
\item   9,352 ~ : ~ 10 ~ = ~{\color{red} 0,935 2}
\item   5,138 ~ : ~ 100 ~ = ~{\color{red} 0,051 38}
\item   9,741 ~ : ~ 1 000 ~ = ~{\color{red} 0,009 741}
\item   679,1 ~ : ~ 100 ~ = ~{\color{red} 6,791}
\item   5 874 ~ : ~ 100 ~ = ~{\color{red} 58,74}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   76,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~76 500
\item   0,061 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~61
\item   9,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~92
\item   0,721 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~7,21
\item   2,18 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~2 180
\item   7,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~78
\item   80 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8 000
\item   0,087 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~87
\item   5,52 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~55,2
\item   0,041 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,41
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,24 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,192 4
}\item   5 494 ~ \(\times\)  0,1 ~ = ~{\color{red} 549,4
}\item   638,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,638 7
}\item   4,921 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,492 1
}\item   4,273 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,042 73
}\item   18,43 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,184 3
}\item   277,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 27,72
}\item   7,36 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,073 6
}\item   9,242 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 242
}\item   5,127 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,051 27
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   64,27 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,427
\item   2,224 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 224
\item   1 675 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,675
\item   101 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 10,1
\item   740,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 7,403
\item   8,872 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,887 2
\item   19,77 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,019 77
\item   102,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,102 8
\item   7,123 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,071 23
\item   305,9 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,059
\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 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 620,2 ~hL~ = {\color{red}  462 020 }~L
\item   135,09 ~mm~ = {\color{red}  0,000 135 09 }~km
\item   610,81 ~dg~ = {\color{red}  61 081 }~mg
\item   267,82 ~km~ = {\color{red}  26 782 }~dam
\item   8 542,6 ~cL~ = {\color{red}  0,854 26 }~hL
\item   184,23 ~mm~ = {\color{red}  0,001 842 3 }~hm
\item   6 953,3 ~dag~ = {\color{red}  69 533 }~g
\item   9 408,7 ~dam~ = {\color{red}  94,087 }~km
\item   5 903,8 ~mL~ = {\color{red}  59,038 }~dL
\item   211,9 ~L~ = {\color{red}  2,119 }~hL
\end{itemize}
\end{multicols}
\end{document}
