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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 279}

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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   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   7 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{34}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{34}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   358  ~ \(\times\)  ~ 100
\item   59,5  ~ \(\times\)  ~ 10
\item   515  ~ \(\times\)  ~ 1 000
\item   0,17  ~ \(\times\)  ~ 100
\item   1,4  ~ \(\times\)  ~ 1 000
\item   0,274  ~ \(\times\)  ~ 1 000
\item   0,18  ~ \(\times\)  ~ 10
\item   0,074  ~ \(\times\)  ~ 1 000
\item   6,6  ~ \(\times\)  ~ 100
\item   128  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,605  ~ : ~ 100
\item   8,754  ~ : ~ 1 000
\item   665,3  ~ : ~ 10
\item   67,31  ~ : ~ 10
\item   762,2  ~ : ~ 10
\item   798,7  ~ : ~ 10
\item   2,34  ~ : ~ 10
\item   6,949  ~ : ~ 10
\item   65,72  ~ : ~ 10
\item   9,214  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,097  ~ \(\times\)  ~ ... ~ = ~ 97
\item   0,111  ~ \(\times\)  ~ ... ~ = ~ 11,1
\item   859  ~ \(\times\)  ~ ... ~ = ~ 85 900
\item   329  ~ \(\times\)  ~ ... ~ = ~ 3 290
\item   1,53  ~ \(\times\)  ~ ... ~ = ~ 15,3
\item   398  ~ \(\times\)  ~ ... ~ = ~ 39 800
\item   0,091  ~ \(\times\)  ~ ... ~ = ~ 0,91
\item   0,242  ~ \(\times\)  ~ ... ~ = ~ 242
\item   0,055  ~ \(\times\)  ~ ... ~ = ~ 0,55
\item   0,011  ~ \(\times\)  ~ ... ~ = ~ 0,11
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,917  ~ \(\times\)  ~ 0,001
\item   6,107  ~ \(\times\)  ~ 0,001
\item   8,675  ~ \(\times\)  ~ 0,001
\item   4,174  ~ \(\times\)  ~ 0,001
\item   1 415  ~ \(\times\)  ~ 0,1
\item   1,064  ~ \(\times\)  ~ 0,01
\item   29,46  ~ \(\times\)  ~ 0,001
\item   2,881  ~ \(\times\)  ~ 0,01
\item   2 231  ~ \(\times\)  ~ 0,1
\item   66,1  ~ \(\times\)  ~ 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   5,984  ~ \(\times\)  ~ ... ~ = ~  0,059 84
\item   0,384  ~ \(\times\)  ~ ... ~ = ~  0,038 4
\item   70,43  ~ \(\times\)  ~ ... ~ = ~  0,704 3
\item   778,8  ~ \(\times\)  ~ ... ~ = ~  77,88
\item   790,6  ~ \(\times\)  ~ ... ~ = ~  0,790 6
\item   14,47  ~ \(\times\)  ~ ... ~ = ~  1,447
\item   24,09  ~ \(\times\)  ~ ... ~ = ~  2,409
\item   6 538  ~ \(\times\)  ~ ... ~ = ~  653,8
\item   5 149  ~ \(\times\)  ~ ... ~ = ~  5,149
\item   703,1  ~ \(\times\)  ~ ... ~ = ~  70,31
\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~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~dm~ = ...~m
\item   1 ~dam~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~hm~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   855,67 ~daL~ = ...~dL
\item   6 382,3 ~mg~ = ...~g
\item   9 058,6 ~m~ = ...~dm
\item   626,34 ~dam~ = ...~m
\item   5 841,7 ~hg~ = ...~mg
\item   583,76 ~daL~ = ...~cL
\item   5 863,1 ~kg~ = ...~mg
\item   6 741,1 ~dag~ = ...~g
\item   6 369,8 ~hL~ = ...~L
\item   4 659,8 ~dg~ = ...~hg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 = \(\dfrac{70}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{1700}{100}\) = \(\dfrac{170}{10}\)
\item   \(\dfrac{8}{10}\) = \(\dfrac{800}{1\,000}\)
\item   \(\dfrac{34}{10}\) = \(\dfrac{340}{100}\)
\item   \(\dfrac{34}{100}\) = \(\dfrac{340}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   358  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 35 800}
\item   59,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 595}
\item   515  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 515 000}
\item   0,17  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 17}
\item   1,4  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 400}
\item   0,274  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 274}
\item   0,18  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,8}
\item   0,074  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 74}
\item   6,6  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 660}
\item   128  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 12 800}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,605 ~ : ~ 100 ~ = ~{\color{red} 0,096 05}
\item   8,754 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 754}
\item   665,3 ~ : ~ 10 ~ = ~{\color{red} 66,53}
\item   67,31 ~ : ~ 10 ~ = ~{\color{red} 6,731}
\item   762,2 ~ : ~ 10 ~ = ~{\color{red} 76,22}
\item   798,7 ~ : ~ 10 ~ = ~{\color{red} 79,87}
\item   2,34 ~ : ~ 10 ~ = ~{\color{red} 0,234}
\item   6,949 ~ : ~ 10 ~ = ~{\color{red} 0,694 9}
\item   65,72 ~ : ~ 10 ~ = ~{\color{red} 6,572}
\item   9,214 ~ : ~ 10 ~ = ~{\color{red} 0,921 4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,097 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~97
\item   0,111 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~11,1
\item   859 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~85 900
\item   329 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3 290
\item   1,53 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~15,3
\item   398 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~39 800
\item   0,091 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,91
\item   0,242 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~242
\item   0,055 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,55
\item   0,011 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,11
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,917 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 917
}\item   6,107 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 107
}\item   8,675 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 675
}\item   4,174 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 174
}\item   1 415 ~ \(\times\)  0,1 ~ = ~{\color{red} 141,5
}\item   1,064 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,010 64
}\item   29,46 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,029 46
}\item   2,881 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,028 81
}\item   2 231 ~ \(\times\)  0,1 ~ = ~{\color{red} 223,1
}\item   66,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,066 1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,984 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,059 84
\item   0,384 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,038 4
\item   70,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,704 3
\item   778,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 77,88
\item   790,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,790 6
\item   14,47 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,447
\item   24,09 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 2,409
\item   6 538 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 653,8
\item   5 149 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,149
\item   703,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 70,31
\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}  1 000 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   855,67 ~daL~ = {\color{red}  85 567 }~dL
\item   6 382,3 ~mg~ = {\color{red}  6,382 3 }~g
\item   9 058,6 ~m~ = {\color{red}  90 586 }~dm
\item   626,34 ~dam~ = {\color{red}  6 263,4 }~m
\item   5 841,7 ~hg~ = {\color{red}  584 170 000 }~mg
\item   583,76 ~daL~ = {\color{red}  583 760 }~cL
\item   5 863,1 ~kg~ = {\color{red}  5 863 100 000 }~mg
\item   6 741,1 ~dag~ = {\color{red}  67 411 }~g
\item   6 369,8 ~hL~ = {\color{red}  636 980 }~L
\item   4 659,8 ~dg~ = {\color{red}  4,659 8 }~hg
\end{itemize}
\end{multicols}
\end{document}
