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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 356}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{66}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,047  ~ \(\times\)  ~ 1 000
\item   42,5  ~ \(\times\)  ~ 1 000
\item   0,354  ~ \(\times\)  ~ 100
\item   0,709  ~ \(\times\)  ~ 100
\item   0,371  ~ \(\times\)  ~ 100
\item   4,9  ~ \(\times\)  ~ 100
\item   58,6  ~ \(\times\)  ~ 10
\item   852  ~ \(\times\)  ~ 100
\item   84  ~ \(\times\)  ~ 100
\item   986  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,53  ~ : ~ 1 000
\item   7,585  ~ : ~ 1 000
\item   4,044  ~ : ~ 10
\item   4,33  ~ : ~ 1 000
\item   5,396  ~ : ~ 100
\item   61,05  ~ : ~ 10
\item   590,7  ~ : ~ 100
\item   5,381  ~ : ~ 10
\item   3,942  ~ : ~ 10
\item   4,654  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,39  ~ \(\times\)  ~ ... ~ = ~ 3 390
\item   46,7  ~ \(\times\)  ~ ... ~ = ~ 467
\item   0,793  ~ \(\times\)  ~ ... ~ = ~ 79,3
\item   42,1  ~ \(\times\)  ~ ... ~ = ~ 42 100
\item   6,73  ~ \(\times\)  ~ ... ~ = ~ 67,3
\item   0,276  ~ \(\times\)  ~ ... ~ = ~ 27,6
\item   951  ~ \(\times\)  ~ ... ~ = ~ 9 510
\item   987  ~ \(\times\)  ~ ... ~ = ~ 9 870
\item   9,84  ~ \(\times\)  ~ ... ~ = ~ 98,4
\item   88,4  ~ \(\times\)  ~ ... ~ = ~ 88 400
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,516  ~ \(\times\)  ~ 0,1
\item   56,98  ~ \(\times\)  ~ 0,1
\item   196,1  ~ \(\times\)  ~ 0,01
\item   346,3  ~ \(\times\)  ~ 0,1
\item   163,5  ~ \(\times\)  ~ 0,01
\item   221,1  ~ \(\times\)  ~ 0,001
\item   12,82  ~ \(\times\)  ~ 0,001
\item   303,9  ~ \(\times\)  ~ 0,01
\item   868,1  ~ \(\times\)  ~ 0,001
\item   30,41  ~ \(\times\)  ~ 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   7 635  ~ \(\times\)  ~ ... ~ = ~  7,635
\item   25,93  ~ \(\times\)  ~ ... ~ = ~  0,259 3
\item   45,55  ~ \(\times\)  ~ ... ~ = ~  0,455 5
\item   6,403  ~ \(\times\)  ~ ... ~ = ~  0,640 3
\item   77,03  ~ \(\times\)  ~ ... ~ = ~  0,770 3
\item   1,63  ~ \(\times\)  ~ ... ~ = ~  0,163
\item   40,73  ~ \(\times\)  ~ ... ~ = ~  0,040 73
\item   5,456  ~ \(\times\)  ~ ... ~ = ~  0,005 456
\item   605  ~ \(\times\)  ~ ... ~ = ~  6,05
\item   12,92  ~ \(\times\)  ~ ... ~ = ~  0,129 2
\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~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~dam
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   776,73 ~hg~ = ...~mg
\item   3 119,6 ~cg~ = ...~hg
\item   645,63 ~m~ = ...~cm
\item   727,79 ~daL~ = ...~cL
\item   751,5 ~g~ = ...~cg
\item   1 734,6 ~mg~ = ...~kg
\item   9 957,3 ~hm~ = ...~km
\item   3 503,3 ~mm~ = ...~dam
\item   231,48 ~kg~ = ...~g
\item   6 773,9 ~dag~ = ...~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   1 = \(\dfrac{10}{10}\)
\item   9 = \(\dfrac{900}{100}\)
\item   \(\dfrac{4300}{100}\) = \(\dfrac{430}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{66}{10}\) = \(\dfrac{660}{100}\)
\item   \(\dfrac{89}{100}\) = \(\dfrac{890}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,047  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 47}
\item   42,5  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 42 500}
\item   0,354  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 35,4}
\item   0,709  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 70,9}
\item   0,371  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 37,1}
\item   4,9  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 490}
\item   58,6  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 586}
\item   852  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85 200}
\item   84  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 400}
\item   986  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 98 600}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   27,53 ~ : ~ 1 000 ~ = ~{\color{red} 0,027 53}
\item   7,585 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 585}
\item   4,044 ~ : ~ 10 ~ = ~{\color{red} 0,404 4}
\item   4,33 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 33}
\item   5,396 ~ : ~ 100 ~ = ~{\color{red} 0,053 96}
\item   61,05 ~ : ~ 10 ~ = ~{\color{red} 6,105}
\item   590,7 ~ : ~ 100 ~ = ~{\color{red} 5,907}
\item   5,381 ~ : ~ 10 ~ = ~{\color{red} 0,538 1}
\item   3,942 ~ : ~ 10 ~ = ~{\color{red} 0,394 2}
\item   4,654 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 654}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,39 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 390
\item   46,7 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~467
\item   0,793 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~79,3
\item   42,1 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42 100
\item   6,73 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~67,3
\item   0,276 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~27,6
\item   951 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 510
\item   987 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 870
\item   9,84 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~98,4
\item   88,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~88 400
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   2,516 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,251 6
}\item   56,98 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,698
}\item   196,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,961
}\item   346,3 ~ \(\times\)  0,1 ~ = ~{\color{red} 34,63
}\item   163,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 1,635
}\item   221,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,221 1
}\item   12,82 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,012 82
}\item   303,9 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,039
}\item   868,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,868 1
}\item   30,41 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,030 41
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 635 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 7,635
\item   25,93 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,259 3
\item   45,55 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,455 5
\item   6,403 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,640 3
\item   77,03 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,770 3
\item   1,63 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,163
\item   40,73 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,040 73
\item   5,456 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 456
\item   605 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,05
\item   12,92 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,129 2
\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}  10 ~ }m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   776,73 ~hg~ = {\color{red}  77 673 000 }~mg
\item   3 119,6 ~cg~ = {\color{red}  0,311 96 }~hg
\item   645,63 ~m~ = {\color{red}  64 563 }~cm
\item   727,79 ~daL~ = {\color{red}  727 790 }~cL
\item   751,5 ~g~ = {\color{red}  75 150 }~cg
\item   1 734,6 ~mg~ = {\color{red}  0,001 734 6 }~kg
\item   9 957,3 ~hm~ = {\color{red}  995,73 }~km
\item   3 503,3 ~mm~ = {\color{red}  0,350 33 }~dam
\item   231,48 ~kg~ = {\color{red}  231 480 }~g
\item   6 773,9 ~dag~ = {\color{red}  67,739 }~kg
\end{itemize}
\end{multicols}
\end{document}
