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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 41}

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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   \(\dfrac{4000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{60}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{84}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,26  ~ \(\times\)  ~ 1 000
\item   0,292  ~ \(\times\)  ~ 1 000
\item   0,079  ~ \(\times\)  ~ 10
\item   80,8  ~ \(\times\)  ~ 1 000
\item   868  ~ \(\times\)  ~ 100
\item   98  ~ \(\times\)  ~ 10
\item   7,49  ~ \(\times\)  ~ 10
\item   0,027  ~ \(\times\)  ~ 1 000
\item   69  ~ \(\times\)  ~ 1 000
\item   0,042  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 637  ~ : ~ 1 000
\item   6,002  ~ : ~ 10
\item   9 198  ~ : ~ 10
\item   171,7  ~ : ~ 1 000
\item   3 013  ~ : ~ 100
\item   530,7  ~ : ~ 1 000
\item   52,8  ~ : ~ 100
\item   10,41  ~ : ~ 100
\item   2 491  ~ : ~ 1 000
\item   1,633  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,688  ~ \(\times\)  ~ ... ~ = ~ 68,8
\item   244  ~ \(\times\)  ~ ... ~ = ~ 2 440
\item   147  ~ \(\times\)  ~ ... ~ = ~ 14 700
\item   0,977  ~ \(\times\)  ~ ... ~ = ~ 97,7
\item   5,54  ~ \(\times\)  ~ ... ~ = ~ 5 540
\item   37  ~ \(\times\)  ~ ... ~ = ~ 37 000
\item   4,83  ~ \(\times\)  ~ ... ~ = ~ 48,3
\item   151  ~ \(\times\)  ~ ... ~ = ~ 151 000
\item   49  ~ \(\times\)  ~ ... ~ = ~ 49 000
\item   73,1  ~ \(\times\)  ~ ... ~ = ~ 7 310
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,498  ~ \(\times\)  ~ 0,001
\item   173  ~ \(\times\)  ~ 0,1
\item   72,67  ~ \(\times\)  ~ 0,001
\item   7,631  ~ \(\times\)  ~ 0,01
\item   14,6  ~ \(\times\)  ~ 0,001
\item   356,6  ~ \(\times\)  ~ 0,01
\item   62,81  ~ \(\times\)  ~ 0,001
\item   63,23  ~ \(\times\)  ~ 0,01
\item   142,1  ~ \(\times\)  ~ 0,001
\item   279,2  ~ \(\times\)  ~ 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   379,6  ~ \(\times\)  ~ ... ~ = ~  3,796
\item   4 046  ~ \(\times\)  ~ ... ~ = ~  404,6
\item   907,3  ~ \(\times\)  ~ ... ~ = ~  9,073
\item   5 492  ~ \(\times\)  ~ ... ~ = ~  549,2
\item   6 395  ~ \(\times\)  ~ ... ~ = ~  63,95
\item   3,263  ~ \(\times\)  ~ ... ~ = ~  0,032 63
\item   59,43  ~ \(\times\)  ~ ... ~ = ~  0,594 3
\item   58,9  ~ \(\times\)  ~ ... ~ = ~  0,058 9
\item   262,8  ~ \(\times\)  ~ ... ~ = ~  0,262 8
\item   859,2  ~ \(\times\)  ~ ... ~ = ~  8,592
\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 ~hm~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~dam
\item   1 ~km~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~km
\item   1 ~dm~ = ...~cm
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~cm
\item   1 ~cm~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 220 ~hL~ = ...~mL
\item   8 248,3 ~hm~ = ...~cm
\item   4 118 ~cL~ = ...~daL
\item   7 460,9 ~g~ = ...~cg
\item   4 574,8 ~cg~ = ...~g
\item   6 717 ~hg~ = ...~dg
\item   5 732,5 ~kL~ = ...~cL
\item   6 167,5 ~dag~ = ...~cg
\item   8 553,8 ~g~ = ...~dag
\item   8 411 ~dag~ = ...~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   7 = \(\dfrac{70}{10}\)
\item   7 = \(\dfrac{700}{100}\)
\item   \(\dfrac{4000}{100}\) = \(\dfrac{400}{10}\)
\item   \(\dfrac{3}{10}\) = \(\dfrac{300}{1\,000}\)
\item   \(\dfrac{60}{10}\) = \(\dfrac{600}{100}\)
\item   \(\dfrac{84}{100}\) = \(\dfrac{840}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,26  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 9 260}
\item   0,292  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 292}
\item   0,079  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,79}
\item   80,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 80 800}
\item   868  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 86 800}
\item   98  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 980}
\item   7,49  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 74,9}
\item   0,027  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 27}
\item   69  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 69 000}
\item   0,042  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 4,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 637 ~ : ~ 1 000 ~ = ~{\color{red} 3,637}
\item   6,002 ~ : ~ 10 ~ = ~{\color{red} 0,600 2}
\item   9 198 ~ : ~ 10 ~ = ~{\color{red} 919,8}
\item   171,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,171 7}
\item   3 013 ~ : ~ 100 ~ = ~{\color{red} 30,13}
\item   530,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,530 7}
\item   52,8 ~ : ~ 100 ~ = ~{\color{red} 0,528}
\item   10,41 ~ : ~ 100 ~ = ~{\color{red} 0,104 1}
\item   2 491 ~ : ~ 1 000 ~ = ~{\color{red} 2,491}
\item   1,633 ~ : ~ 10 ~ = ~{\color{red} 0,163 3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,688 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~68,8
\item   244 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~2 440
\item   147 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~14 700
\item   0,977 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~97,7
\item   5,54 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 540
\item   37 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~37 000
\item   4,83 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~48,3
\item   151 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~151 000
\item   49 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~49 000
\item   73,1 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 310
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,498 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 498
}\item   173 ~ \(\times\)  0,1 ~ = ~{\color{red} 17,3
}\item   72,67 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,072 67
}\item   7,631 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,076 31
}\item   14,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,014 6
}\item   356,6 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,566
}\item   62,81 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,062 81
}\item   63,23 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,632 3
}\item   142,1 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,142 1
}\item   279,2 ~ \(\times\)  0,1 ~ = ~{\color{red} 27,92
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   379,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 3,796
\item   4 046 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 404,6
\item   907,3 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 9,073
\item   5 492 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 549,2
\item   6 395 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 63,95
\item   3,263 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,032 63
\item   59,43 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,594 3
\item   58,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,058 9
\item   262,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,262 8
\item   859,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,592
\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 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 220 ~hL~ = {\color{red}  822 000 000 }~mL
\item   8 248,3 ~hm~ = {\color{red}  82 483 000 }~cm
\item   4 118 ~cL~ = {\color{red}  4,118 }~daL
\item   7 460,9 ~g~ = {\color{red}  746 090 }~cg
\item   4 574,8 ~cg~ = {\color{red}  45,748 }~g
\item   6 717 ~hg~ = {\color{red}  6 717 000 }~dg
\item   5 732,5 ~kL~ = {\color{red}  573 250 000 }~cL
\item   6 167,5 ~dag~ = {\color{red}  6 167 500 }~cg
\item   8 553,8 ~g~ = {\color{red}  855,38 }~dag
\item   8 411 ~dag~ = {\color{red}  841 100 }~dg
\end{itemize}
\end{multicols}
\end{document}
