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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 28}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{27}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,662  ~ \(\times\)  ~ 100
\item   22,4  ~ \(\times\)  ~ 10
\item   41  ~ \(\times\)  ~ 10
\item   62,9  ~ \(\times\)  ~ 10
\item   0,037  ~ \(\times\)  ~ 10
\item   80  ~ \(\times\)  ~ 100
\item   9,28  ~ \(\times\)  ~ 1 000
\item   85,4  ~ \(\times\)  ~ 10
\item   0,093  ~ \(\times\)  ~ 1 000
\item   7,16  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,911  ~ : ~ 10
\item   3 378  ~ : ~ 100
\item   4 362  ~ : ~ 1 000
\item   88,43  ~ : ~ 1 000
\item   2,129  ~ : ~ 10
\item   34,12  ~ : ~ 10
\item   0,635  ~ : ~ 100
\item   622,2  ~ : ~ 100
\item   4,319  ~ : ~ 1 000
\item   296,7  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,033  ~ \(\times\)  ~ ... ~ = ~ 0,33
\item   0,078  ~ \(\times\)  ~ ... ~ = ~ 7,8
\item   976  ~ \(\times\)  ~ ... ~ = ~ 9 760
\item   211  ~ \(\times\)  ~ ... ~ = ~ 21 100
\item   0,376  ~ \(\times\)  ~ ... ~ = ~ 3,76
\item   52  ~ \(\times\)  ~ ... ~ = ~ 52 000
\item   0,052  ~ \(\times\)  ~ ... ~ = ~ 0,52
\item   0,566  ~ \(\times\)  ~ ... ~ = ~ 566
\item   44,5  ~ \(\times\)  ~ ... ~ = ~ 44 500
\item   43,6  ~ \(\times\)  ~ ... ~ = ~ 4 360
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,923  ~ \(\times\)  ~ 0,1
\item   3 968  ~ \(\times\)  ~ 0,1
\item   7,236  ~ \(\times\)  ~ 0,001
\item   91,54  ~ \(\times\)  ~ 0,01
\item   2 354  ~ \(\times\)  ~ 0,001
\item   75,57  ~ \(\times\)  ~ 0,001
\item   5 996  ~ \(\times\)  ~ 0,1
\item   671,6  ~ \(\times\)  ~ 0,001
\item   178,2  ~ \(\times\)  ~ 0,1
\item   4,955  ~ \(\times\)  ~ 0,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   260,6  ~ \(\times\)  ~ ... ~ = ~  26,06
\item   8 637  ~ \(\times\)  ~ ... ~ = ~  86,37
\item   83,97  ~ \(\times\)  ~ ... ~ = ~  0,083 97
\item   8,003  ~ \(\times\)  ~ ... ~ = ~  0,080 03
\item   6 656  ~ \(\times\)  ~ ... ~ = ~  66,56
\item   40,53  ~ \(\times\)  ~ ... ~ = ~  0,040 53
\item   95,35  ~ \(\times\)  ~ ... ~ = ~  0,095 35
\item   15,53  ~ \(\times\)  ~ ... ~ = ~  1,553
\item   66  ~ \(\times\)  ~ ... ~ = ~  0,66
\item   765,3  ~ \(\times\)  ~ ... ~ = ~  0,765 3
\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~ = ...~hm
\item   1 ~hm~ = ...~dm
\item   1 ~dam~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~km
\item   1 ~cm~ = ...~m
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~dm
\item   1 ~cm~ = ...~dm
\item   1 ~m~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   599,79 ~mL~ = ...~dL
\item   620,06 ~hg~ = ...~mg
\item   729,26 ~cL~ = ...~dL
\item   1 751,4 ~dam~ = ...~cm
\item   382,3 ~mm~ = ...~dam
\item   8 851,8 ~daL~ = ...~mL
\item   510,09 ~dam~ = ...~m
\item   3 951,1 ~mg~ = ...~dg
\item   2 580,9 ~hL~ = ...~daL
\item   704,7 ~cg~ = ...~g
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{8000}{100}\) = \(\dfrac{800}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{39}{10}\) = \(\dfrac{390}{100}\)
\item   \(\dfrac{27}{100}\) = \(\dfrac{270}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,662  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 66,2}
\item   22,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 224}
\item   41  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 410}
\item   62,9  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 629}
\item   0,037  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,37}
\item   80  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 000}
\item   9,28  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 280}
\item   85,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 854}
\item   0,093  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 93}
\item   7,16  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 7 160}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,911 ~ : ~ 10 ~ = ~{\color{red} 0,391 1}
\item   3 378 ~ : ~ 100 ~ = ~{\color{red} 33,78}
\item   4 362 ~ : ~ 1 000 ~ = ~{\color{red} 4,362}
\item   88,43 ~ : ~ 1 000 ~ = ~{\color{red} 0,088 43}
\item   2,129 ~ : ~ 10 ~ = ~{\color{red} 0,212 9}
\item   34,12 ~ : ~ 10 ~ = ~{\color{red} 3,412}
\item   0,635 ~ : ~ 100 ~ = ~{\color{red} 0,006 35}
\item   622,2 ~ : ~ 100 ~ = ~{\color{red} 6,222}
\item   4,319 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 319}
\item   296,7 ~ : ~ 10 ~ = ~{\color{red} 29,67}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,033 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,33
\item   0,078 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7,8
\item   976 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 760
\item   211 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~21 100
\item   0,376 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,76
\item   52 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~52 000
\item   0,052 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,52
\item   0,566 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~566
\item   44,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~44 500
\item   43,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 360
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,923 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,492 3
}\item   3 968 ~ \(\times\)  0,1 ~ = ~{\color{red} 396,8
}\item   7,236 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 236
}\item   91,54 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,915 4
}\item   2 354 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,354
}\item   75,57 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,075 57
}\item   5 996 ~ \(\times\)  0,1 ~ = ~{\color{red} 599,6
}\item   671,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,671 6
}\item   178,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 17,82
}\item   4,955 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,495 5
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   260,6 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 26,06
\item   8 637 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 86,37
\item   83,97 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,083 97
\item   8,003 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,080 03
\item   6 656 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 66,56
\item   40,53 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,040 53
\item   95,35 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,095 35
\item   15,53 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,553
\item   66 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,66
\item   765,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,765 3
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   599,79 ~mL~ = {\color{red}  5,997 9 }~dL
\item   620,06 ~hg~ = {\color{red}  62 006 000 }~mg
\item   729,26 ~cL~ = {\color{red}  72,926 }~dL
\item   1 751,4 ~dam~ = {\color{red}  1 751 400 }~cm
\item   382,3 ~mm~ = {\color{red}  0,038 23 }~dam
\item   8 851,8 ~daL~ = {\color{red}  88 518 000 }~mL
\item   510,09 ~dam~ = {\color{red}  5 100,9 }~m
\item   3 951,1 ~mg~ = {\color{red}  39,511 }~dg
\item   2 580,9 ~hL~ = {\color{red}  25 809 }~daL
\item   704,7 ~cg~ = {\color{red}  7,047 }~g
\end{itemize}
\end{multicols}
\end{document}
