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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 390}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{51}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{92}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,029  ~ \(\times\)  ~ 1 000
\item   55,2  ~ \(\times\)  ~ 100
\item   0,58  ~ \(\times\)  ~ 10
\item   7,52  ~ \(\times\)  ~ 10
\item   0,712  ~ \(\times\)  ~ 100
\item   20,1  ~ \(\times\)  ~ 100
\item   82  ~ \(\times\)  ~ 1 000
\item   0,108  ~ \(\times\)  ~ 1 000
\item   21,2  ~ \(\times\)  ~ 100
\item   86,4  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,642  ~ : ~ 10
\item   37,53  ~ : ~ 10
\item   216,5  ~ : ~ 100
\item   68,88  ~ : ~ 1 000
\item   126,1  ~ : ~ 10
\item   11,21  ~ : ~ 10
\item   7,061  ~ : ~ 100
\item   6 705  ~ : ~ 100
\item   9,155  ~ : ~ 10
\item   2 766  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,475  ~ \(\times\)  ~ ... ~ = ~ 47,5
\item   371  ~ \(\times\)  ~ ... ~ = ~ 37 100
\item   3,2  ~ \(\times\)  ~ ... ~ = ~ 320
\item   94,9  ~ \(\times\)  ~ ... ~ = ~ 9 490
\item   6,68  ~ \(\times\)  ~ ... ~ = ~ 668
\item   0,418  ~ \(\times\)  ~ ... ~ = ~ 41,8
\item   0,091  ~ \(\times\)  ~ ... ~ = ~ 9,1
\item   3,19  ~ \(\times\)  ~ ... ~ = ~ 3 190
\item   0,51  ~ \(\times\)  ~ ... ~ = ~ 5,1
\item   7,22  ~ \(\times\)  ~ ... ~ = ~ 72,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   558,7  ~ \(\times\)  ~ 0,001
\item   128,8  ~ \(\times\)  ~ 0,01
\item   623,2  ~ \(\times\)  ~ 0,01
\item   6 851  ~ \(\times\)  ~ 0,1
\item   6,153  ~ \(\times\)  ~ 0,001
\item   29,5  ~ \(\times\)  ~ 0,1
\item   1,627  ~ \(\times\)  ~ 0,1
\item   151,4  ~ \(\times\)  ~ 0,1
\item   580  ~ \(\times\)  ~ 0,1
\item   78,84  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   633,8  ~ \(\times\)  ~ ... ~ = ~  6,338
\item   88,5  ~ \(\times\)  ~ ... ~ = ~  8,85
\item   1 132  ~ \(\times\)  ~ ... ~ = ~  113,2
\item   72,97  ~ \(\times\)  ~ ... ~ = ~  0,729 7
\item   1,593  ~ \(\times\)  ~ ... ~ = ~  0,001 593
\item   761  ~ \(\times\)  ~ ... ~ = ~  76,1
\item   9,625  ~ \(\times\)  ~ ... ~ = ~  0,009 625
\item   5,125  ~ \(\times\)  ~ ... ~ = ~  0,005 125
\item   86,75  ~ \(\times\)  ~ ... ~ = ~  0,867 5
\item   35,93  ~ \(\times\)  ~ ... ~ = ~  0,035 93
\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 ~cm~ = ...~dm
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~dm
\item   1 ~km~ = ...~dam
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~cm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 917,5 ~hg~ = ...~cg
\item   714,83 ~dm~ = ...~mm
\item   2 956,3 ~dg~ = ...~cg
\item   4 355,4 ~hm~ = ...~cm
\item   686,96 ~m~ = ...~cm
\item   9 232,2 ~mm~ = ...~cm
\item   246,46 ~mL~ = ...~hL
\item   1 503,4 ~mm~ = ...~dam
\item   8 719 ~cm~ = ...~mm
\item   9 190,8 ~mg~ = ...~dg
\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   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{1200}{100}\) = \(\dfrac{120}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{51}{10}\) = \(\dfrac{510}{100}\)
\item   \(\dfrac{92}{100}\) = \(\dfrac{920}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,029  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 29}
\item   55,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 520}
\item   0,58  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,8}
\item   7,52  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 75,2}
\item   0,712  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 71,2}
\item   20,1  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 010}
\item   82  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 82 000}
\item   0,108  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 108}
\item   21,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 2 120}
\item   86,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 86 400}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,642 ~ : ~ 10 ~ = ~{\color{red} 0,864 2}
\item   37,53 ~ : ~ 10 ~ = ~{\color{red} 3,753}
\item   216,5 ~ : ~ 100 ~ = ~{\color{red} 2,165}
\item   68,88 ~ : ~ 1 000 ~ = ~{\color{red} 0,068 88}
\item   126,1 ~ : ~ 10 ~ = ~{\color{red} 12,61}
\item   11,21 ~ : ~ 10 ~ = ~{\color{red} 1,121}
\item   7,061 ~ : ~ 100 ~ = ~{\color{red} 0,070 61}
\item   6 705 ~ : ~ 100 ~ = ~{\color{red} 67,05}
\item   9,155 ~ : ~ 10 ~ = ~{\color{red} 0,915 5}
\item   2 766 ~ : ~ 100 ~ = ~{\color{red} 27,66}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,475 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~47,5
\item   371 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~37 100
\item   3,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~320
\item   94,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 490
\item   6,68 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~668
\item   0,418 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~41,8
\item   0,091 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9,1
\item   3,19 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 190
\item   0,51 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,1
\item   7,22 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~72,2
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   558,7 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,558 7
}\item   128,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,288
}\item   623,2 ~ \(\times\)  0,01 ~ = ~{\color{red} 6,232
}\item   6 851 ~ \(\times\)  0,1 ~ = ~{\color{red} 685,1
}\item   6,153 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 153
}\item   29,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 2,95
}\item   1,627 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,162 7
}\item   151,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 15,14
}\item   580 ~ \(\times\)  0,1 ~ = ~{\color{red} 58
}\item   78,84 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,078 84
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   633,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,338
\item   88,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,85
\item   1 132 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 113,2
\item   72,97 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,729 7
\item   1,593 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 593
\item   761 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 76,1
\item   9,625 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,009 625
\item   5,125 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 125
\item   86,75 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,867 5
\item   35,93 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,035 93
\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 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 917,5 ~hg~ = {\color{red}  39 175 000 }~cg
\item   714,83 ~dm~ = {\color{red}  71 483 }~mm
\item   2 956,3 ~dg~ = {\color{red}  29 563 }~cg
\item   4 355,4 ~hm~ = {\color{red}  43 554 000 }~cm
\item   686,96 ~m~ = {\color{red}  68 696 }~cm
\item   9 232,2 ~mm~ = {\color{red}  923,22 }~cm
\item   246,46 ~mL~ = {\color{red}  0,002 464 6 }~hL
\item   1 503,4 ~mm~ = {\color{red}  0,150 34 }~dam
\item   8 719 ~cm~ = {\color{red}  87 190 }~mm
\item   9 190,8 ~mg~ = {\color{red}  91,908 }~dg
\end{itemize}
\end{multicols}
\end{document}
