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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 52}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,3  ~ \(\times\)  ~ 10
\item   0,826  ~ \(\times\)  ~ 10
\item   0,363  ~ \(\times\)  ~ 1 000
\item   10  ~ \(\times\)  ~ 1 000
\item   0,405  ~ \(\times\)  ~ 10
\item   251  ~ \(\times\)  ~ 10
\item   0,183  ~ \(\times\)  ~ 10
\item   6,49  ~ \(\times\)  ~ 100
\item   0,805  ~ \(\times\)  ~ 100
\item   134  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 297  ~ : ~ 1 000
\item   65,72  ~ : ~ 1 000
\item   225,7  ~ : ~ 100
\item   862,7  ~ : ~ 100
\item   16,19  ~ : ~ 10
\item   7,037  ~ : ~ 1 000
\item   56,7  ~ : ~ 10
\item   3,449  ~ : ~ 100
\item   229,2  ~ : ~ 1 000
\item   212,1  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,014  ~ \(\times\)  ~ ... ~ = ~ 0,14
\item   32,3  ~ \(\times\)  ~ ... ~ = ~ 32 300
\item   0,592  ~ \(\times\)  ~ ... ~ = ~ 5,92
\item   57  ~ \(\times\)  ~ ... ~ = ~ 57 000
\item   73,8  ~ \(\times\)  ~ ... ~ = ~ 738
\item   52,4  ~ \(\times\)  ~ ... ~ = ~ 52 400
\item   0,047  ~ \(\times\)  ~ ... ~ = ~ 0,47
\item   84  ~ \(\times\)  ~ ... ~ = ~ 84 000
\item   0,712  ~ \(\times\)  ~ ... ~ = ~ 712
\item   94,9  ~ \(\times\)  ~ ... ~ = ~ 949
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 497  ~ \(\times\)  ~ 0,001
\item   1,67  ~ \(\times\)  ~ 0,01
\item   1,249  ~ \(\times\)  ~ 0,1
\item   221,1  ~ \(\times\)  ~ 0,1
\item   6 255  ~ \(\times\)  ~ 0,1
\item   5,028  ~ \(\times\)  ~ 0,1
\item   314,9  ~ \(\times\)  ~ 0,1
\item   2 626  ~ \(\times\)  ~ 0,001
\item   41,43  ~ \(\times\)  ~ 0,001
\item   35,13  ~ \(\times\)  ~ 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   328,1  ~ \(\times\)  ~ ... ~ = ~  32,81
\item   4 386  ~ \(\times\)  ~ ... ~ = ~  438,6
\item   324,8  ~ \(\times\)  ~ ... ~ = ~  0,324 8
\item   54,42  ~ \(\times\)  ~ ... ~ = ~  0,544 2
\item   61,13  ~ \(\times\)  ~ ... ~ = ~  6,113
\item   2,866  ~ \(\times\)  ~ ... ~ = ~  0,028 66
\item   1,515  ~ \(\times\)  ~ ... ~ = ~  0,151 5
\item   8,87  ~ \(\times\)  ~ ... ~ = ~  0,008 87
\item   31,26  ~ \(\times\)  ~ ... ~ = ~  0,312 6
\item   6,079  ~ \(\times\)  ~ ... ~ = ~  0,006 079
\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 ~hm~ = ...~km
\item   1 ~dam~ = ...~dm
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~dam~ = ...~cm
\item   1 ~km~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~cm~ = ...~km
\item   1 ~hm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 191,2 ~dm~ = ...~mm
\item   2 625,5 ~kL~ = ...~daL
\item   7 255,5 ~cg~ = ...~mg
\item   462,79 ~hm~ = ...~mm
\item   6 650 ~dag~ = ...~dg
\item   292,26 ~L~ = ...~dL
\item   643,7 ~daL~ = ...~cL
\item   793,15 ~hg~ = ...~dag
\item   530,96 ~cm~ = ...~dm
\item   3 343,4 ~hm~ = ...~dm
\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   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{7600}{100}\) = \(\dfrac{760}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{580}{100}\)
\item   \(\dfrac{63}{100}\) = \(\dfrac{630}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 43}
\item   0,826  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8,26}
\item   0,363  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 363}
\item   10  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 10 000}
\item   0,405  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 4,05}
\item   251  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 2 510}
\item   0,183  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,83}
\item   6,49  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 649}
\item   0,805  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 80,5}
\item   134  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 134 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 297 ~ : ~ 1 000 ~ = ~{\color{red} 6,297}
\item   65,72 ~ : ~ 1 000 ~ = ~{\color{red} 0,065 72}
\item   225,7 ~ : ~ 100 ~ = ~{\color{red} 2,257}
\item   862,7 ~ : ~ 100 ~ = ~{\color{red} 8,627}
\item   16,19 ~ : ~ 10 ~ = ~{\color{red} 1,619}
\item   7,037 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 037}
\item   56,7 ~ : ~ 10 ~ = ~{\color{red} 5,67}
\item   3,449 ~ : ~ 100 ~ = ~{\color{red} 0,034 49}
\item   229,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,229 2}
\item   212,1 ~ : ~ 10 ~ = ~{\color{red} 21,21}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,014 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,14
\item   32,3 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~32 300
\item   0,592 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,92
\item   57 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~57 000
\item   73,8 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~738
\item   52,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~52 400
\item   0,047 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,47
\item   84 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~84 000
\item   0,712 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~712
\item   94,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~949
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 497 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,497
}\item   1,67 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,016 7
}\item   1,249 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,124 9
}\item   221,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 22,11
}\item   6 255 ~ \(\times\)  0,1 ~ = ~{\color{red} 625,5
}\item   5,028 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,502 8
}\item   314,9 ~ \(\times\)  0,1 ~ = ~{\color{red} 31,49
}\item   2 626 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,626
}\item   41,43 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,041 43
}\item   35,13 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,351 3
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   328,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 32,81
\item   4 386 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 438,6
\item   324,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,324 8
\item   54,42 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,544 2
\item   61,13 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 6,113
\item   2,866 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,028 66
\item   1,515 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,151 5
\item   8,87 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,008 87
\item   31,26 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,312 6
\item   6,079 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 079
\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 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 191,2 ~dm~ = {\color{red}  319 120 }~mm
\item   2 625,5 ~kL~ = {\color{red}  262 550 }~daL
\item   7 255,5 ~cg~ = {\color{red}  72 555 }~mg
\item   462,79 ~hm~ = {\color{red}  46 279 000 }~mm
\item   6 650 ~dag~ = {\color{red}  665 000 }~dg
\item   292,26 ~L~ = {\color{red}  2 922,6 }~dL
\item   643,7 ~daL~ = {\color{red}  643 700 }~cL
\item   793,15 ~hg~ = {\color{red}  7 931,5 }~dag
\item   530,96 ~cm~ = {\color{red}  53,096 }~dm
\item   3 343,4 ~hm~ = {\color{red}  3 343 400 }~dm
\end{itemize}
\end{multicols}
\end{document}
