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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 364}

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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{7400}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{14}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{33}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,1  ~ \(\times\)  ~ 10
\item   54,9  ~ \(\times\)  ~ 1 000
\item   73,1  ~ \(\times\)  ~ 1 000
\item   743  ~ \(\times\)  ~ 1 000
\item   28,3  ~ \(\times\)  ~ 10
\item   157  ~ \(\times\)  ~ 10
\item   0,409  ~ \(\times\)  ~ 1 000
\item   0,363  ~ \(\times\)  ~ 10
\item   184  ~ \(\times\)  ~ 1 000
\item   9,37  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   718,4  ~ : ~ 1 000
\item   5 376  ~ : ~ 1 000
\item   3,831  ~ : ~ 100
\item   326,5  ~ : ~ 10
\item   3,603  ~ : ~ 10
\item   736  ~ : ~ 1 000
\item   51,34  ~ : ~ 100
\item   31,16  ~ : ~ 100
\item   4 334  ~ : ~ 100
\item   41,05  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,2  ~ \(\times\)  ~ ... ~ = ~ 2
\item   0,936  ~ \(\times\)  ~ ... ~ = ~ 93,6
\item   16,9  ~ \(\times\)  ~ ... ~ = ~ 1 690
\item   5,2  ~ \(\times\)  ~ ... ~ = ~ 5 200
\item   5,9  ~ \(\times\)  ~ ... ~ = ~ 5 900
\item   0,272  ~ \(\times\)  ~ ... ~ = ~ 2,72
\item   80,6  ~ \(\times\)  ~ ... ~ = ~ 806
\item   0,091  ~ \(\times\)  ~ ... ~ = ~ 0,91
\item   3,79  ~ \(\times\)  ~ ... ~ = ~ 3 790
\item   15,2  ~ \(\times\)  ~ ... ~ = ~ 1 520
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 007  ~ \(\times\)  ~ 0,1
\item   82,3  ~ \(\times\)  ~ 0,001
\item   4 943  ~ \(\times\)  ~ 0,1
\item   3 407  ~ \(\times\)  ~ 0,001
\item   364,2  ~ \(\times\)  ~ 0,1
\item   2 837  ~ \(\times\)  ~ 0,1
\item   99,6  ~ \(\times\)  ~ 0,1
\item   511,3  ~ \(\times\)  ~ 0,1
\item   6,369  ~ \(\times\)  ~ 0,01
\item   7,73  ~ \(\times\)  ~ 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   8 006  ~ \(\times\)  ~ ... ~ = ~  8,006
\item   9 319  ~ \(\times\)  ~ ... ~ = ~  93,19
\item   21,01  ~ \(\times\)  ~ ... ~ = ~  2,101
\item   5 082  ~ \(\times\)  ~ ... ~ = ~  50,82
\item   705,4  ~ \(\times\)  ~ ... ~ = ~  70,54
\item   6,434  ~ \(\times\)  ~ ... ~ = ~  0,643 4
\item   78,05  ~ \(\times\)  ~ ... ~ = ~  0,780 5
\item   5 574  ~ \(\times\)  ~ ... ~ = ~  557,4
\item   5,96  ~ \(\times\)  ~ ... ~ = ~  0,059 6
\item   326  ~ \(\times\)  ~ ... ~ = ~  0,326
\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~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~km
\item   1 ~m~ = ...~km
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~km~ = ...~m
\item   1 ~dm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 103,7 ~dg~ = ...~dag
\item   5 039 ~m~ = ...~dam
\item   952,88 ~km~ = ...~dam
\item   6 508,7 ~kg~ = ...~mg
\item   6 088,1 ~hm~ = ...~dm
\item   301,82 ~cL~ = ...~dL
\item   582,47 ~hm~ = ...~dam
\item   282,82 ~dag~ = ...~hg
\item   141,19 ~g~ = ...~mg
\item   6 014,3 ~cm~ = ...~dam
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{7400}{100}\) = \(\dfrac{740}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{14}{10}\) = \(\dfrac{140}{100}\)
\item   \(\dfrac{33}{100}\) = \(\dfrac{330}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   35,1  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 351}
\item   54,9  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 54 900}
\item   73,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 73 100}
\item   743  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 743 000}
\item   28,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 283}
\item   157  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1 570}
\item   0,409  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 409}
\item   0,363  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,63}
\item   184  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 184 000}
\item   9,37  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 937}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   718,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,718 4}
\item   5 376 ~ : ~ 1 000 ~ = ~{\color{red} 5,376}
\item   3,831 ~ : ~ 100 ~ = ~{\color{red} 0,038 31}
\item   326,5 ~ : ~ 10 ~ = ~{\color{red} 32,65}
\item   3,603 ~ : ~ 10 ~ = ~{\color{red} 0,360 3}
\item   736 ~ : ~ 1 000 ~ = ~{\color{red} 0,736}
\item   51,34 ~ : ~ 100 ~ = ~{\color{red} 0,513 4}
\item   31,16 ~ : ~ 100 ~ = ~{\color{red} 0,311 6}
\item   4 334 ~ : ~ 100 ~ = ~{\color{red} 43,34}
\item   41,05 ~ : ~ 1 000 ~ = ~{\color{red} 0,041 05}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2
\item   0,936 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~93,6
\item   16,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 690
\item   5,2 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 200
\item   5,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 900
\item   0,272 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2,72
\item   80,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~806
\item   0,091 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,91
\item   3,79 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 790
\item   15,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1 520
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 007 ~ \(\times\)  0,1 ~ = ~{\color{red} 300,7
}\item   82,3 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,082 3
}\item   4 943 ~ \(\times\)  0,1 ~ = ~{\color{red} 494,3
}\item   3 407 ~ \(\times\)  0,001 ~ = ~{\color{red} 3,407
}\item   364,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 36,42
}\item   2 837 ~ \(\times\)  0,1 ~ = ~{\color{red} 283,7
}\item   99,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,96
}\item   511,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 51,13
}\item   6,369 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,063 69
}\item   7,73 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 73
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 006 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 8,006
\item   9 319 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 93,19
\item   21,01 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,101
\item   5 082 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 50,82
\item   705,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 70,54
\item   6,434 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,643 4
\item   78,05 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,780 5
\item   5 574 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 557,4
\item   5,96 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,059 6
\item   326 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,326
\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~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 103,7 ~dg~ = {\color{red}  71,037 }~dag
\item   5 039 ~m~ = {\color{red}  503,9 }~dam
\item   952,88 ~km~ = {\color{red}  95 288 }~dam
\item   6 508,7 ~kg~ = {\color{red}  6 508 700 000 }~mg
\item   6 088,1 ~hm~ = {\color{red}  6 088 100 }~dm
\item   301,82 ~cL~ = {\color{red}  30,182 }~dL
\item   582,47 ~hm~ = {\color{red}  5 824,7 }~dam
\item   282,82 ~dag~ = {\color{red}  28,282 }~hg
\item   141,19 ~g~ = {\color{red}  141 190 }~mg
\item   6 014,3 ~cm~ = {\color{red}  6,014 3 }~dam
\end{itemize}
\end{multicols}
\end{document}
