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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 25}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3800}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{92}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{71}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,52  ~ \(\times\)  ~ 10
\item   0,032  ~ \(\times\)  ~ 100
\item   0,011  ~ \(\times\)  ~ 10
\item   59,8  ~ \(\times\)  ~ 1 000
\item   0,082  ~ \(\times\)  ~ 100
\item   85,3  ~ \(\times\)  ~ 1 000
\item   0,038  ~ \(\times\)  ~ 100
\item   546  ~ \(\times\)  ~ 1 000
\item   703  ~ \(\times\)  ~ 1 000
\item   6,05  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   588,8  ~ : ~ 1 000
\item   2,737  ~ : ~ 10
\item   1,253  ~ : ~ 1 000
\item   123,7  ~ : ~ 1 000
\item   76,4  ~ : ~ 10
\item   963,4  ~ : ~ 100
\item   9,269  ~ : ~ 100
\item   8,196  ~ : ~ 100
\item   1,044  ~ : ~ 100
\item   2 873  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,859  ~ \(\times\)  ~ ... ~ = ~ 859
\item   477  ~ \(\times\)  ~ ... ~ = ~ 47 700
\item   96,9  ~ \(\times\)  ~ ... ~ = ~ 9 690
\item   0,064  ~ \(\times\)  ~ ... ~ = ~ 6,4
\item   979  ~ \(\times\)  ~ ... ~ = ~ 9 790
\item   136  ~ \(\times\)  ~ ... ~ = ~ 1 360
\item   70,9  ~ \(\times\)  ~ ... ~ = ~ 70 900
\item   78,2  ~ \(\times\)  ~ ... ~ = ~ 782
\item   95,6  ~ \(\times\)  ~ ... ~ = ~ 9 560
\item   22,4  ~ \(\times\)  ~ ... ~ = ~ 22 400
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,463  ~ \(\times\)  ~ 0,01
\item   50,78  ~ \(\times\)  ~ 0,01
\item   8,23  ~ \(\times\)  ~ 0,01
\item   7,013  ~ \(\times\)  ~ 0,01
\item   5 915  ~ \(\times\)  ~ 0,01
\item   69,37  ~ \(\times\)  ~ 0,1
\item   937,6  ~ \(\times\)  ~ 0,001
\item   36,4  ~ \(\times\)  ~ 0,001
\item   4 342  ~ \(\times\)  ~ 0,001
\item   4 363  ~ \(\times\)  ~ 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   861,1  ~ \(\times\)  ~ ... ~ = ~  0,861 1
\item   6,35  ~ \(\times\)  ~ ... ~ = ~  0,635
\item   5 320  ~ \(\times\)  ~ ... ~ = ~  532
\item   679,9  ~ \(\times\)  ~ ... ~ = ~  0,679 9
\item   612,8  ~ \(\times\)  ~ ... ~ = ~  6,128
\item   1 631  ~ \(\times\)  ~ ... ~ = ~  1,631
\item   933,5  ~ \(\times\)  ~ ... ~ = ~  0,933 5
\item   2 907  ~ \(\times\)  ~ ... ~ = ~  290,7
\item   3,58  ~ \(\times\)  ~ ... ~ = ~  0,003 58
\item   282,1  ~ \(\times\)  ~ ... ~ = ~  2,821
\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 ~dm~ = ...~hm
\item   1 ~cm~ = ...~km
\item   1 ~m~ = ...~km
\item   1 ~m~ = ...~dm
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~dam~ = ...~m
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 113,2 ~kL~ = ...~L
\item   467,78 ~mg~ = ...~g
\item   5 584 ~dL~ = ...~kL
\item   8 886,3 ~dam~ = ...~mm
\item   644,22 ~daL~ = ...~mL
\item   919,22 ~dL~ = ...~daL
\item   8 809 ~cm~ = ...~dam
\item   7 527,1 ~hL~ = ...~dL
\item   381,82 ~dL~ = ...~L
\item   426,67 ~cL~ = ...~dL
\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   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{3800}{100}\) = \(\dfrac{380}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{92}{10}\) = \(\dfrac{920}{100}\)
\item   \(\dfrac{71}{100}\) = \(\dfrac{710}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,52  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 5,2}
\item   0,032  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,2}
\item   0,011  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,11}
\item   59,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 59 800}
\item   0,082  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8,2}
\item   85,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 85 300}
\item   0,038  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,8}
\item   546  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 546 000}
\item   703  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 703 000}
\item   6,05  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 605}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   588,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,588 8}
\item   2,737 ~ : ~ 10 ~ = ~{\color{red} 0,273 7}
\item   1,253 ~ : ~ 1 000 ~ = ~{\color{red} 0,001 253}
\item   123,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,123 7}
\item   76,4 ~ : ~ 10 ~ = ~{\color{red} 7,64}
\item   963,4 ~ : ~ 100 ~ = ~{\color{red} 9,634}
\item   9,269 ~ : ~ 100 ~ = ~{\color{red} 0,092 69}
\item   8,196 ~ : ~ 100 ~ = ~{\color{red} 0,081 96}
\item   1,044 ~ : ~ 100 ~ = ~{\color{red} 0,010 44}
\item   2 873 ~ : ~ 100 ~ = ~{\color{red} 28,73}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,859 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~859
\item   477 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~47 700
\item   96,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 690
\item   0,064 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~6,4
\item   979 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9 790
\item   136 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 360
\item   70,9 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~70 900
\item   78,2 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~782
\item   95,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 560
\item   22,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~22 400
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,463 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,094 63
}\item   50,78 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,507 8
}\item   8,23 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,082 3
}\item   7,013 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,070 13
}\item   5 915 ~ \(\times\)  0,01 ~ = ~{\color{red} 59,15
}\item   69,37 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,937
}\item   937,6 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,937 6
}\item   36,4 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,036 4
}\item   4 342 ~ \(\times\)  0,001 ~ = ~{\color{red} 4,342
}\item   4 363 ~ \(\times\)  0,1 ~ = ~{\color{red} 436,3
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   861,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,861 1
\item   6,35 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,635
\item   5 320 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 532
\item   679,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,679 9
\item   612,8 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,128
\item   1 631 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,631
\item   933,5 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,933 5
\item   2 907 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 290,7
\item   3,58 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,003 58
\item   282,1 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,821
\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 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100\,000}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 113,2 ~kL~ = {\color{red}  9 113 200 }~L
\item   467,78 ~mg~ = {\color{red}  0,467 78 }~g
\item   5 584 ~dL~ = {\color{red}  0,558 4 }~kL
\item   8 886,3 ~dam~ = {\color{red}  88 863 000 }~mm
\item   644,22 ~daL~ = {\color{red}  6 442 200 }~mL
\item   919,22 ~dL~ = {\color{red}  9,192 2 }~daL
\item   8 809 ~cm~ = {\color{red}  8,809 }~dam
\item   7 527,1 ~hL~ = {\color{red}  7 527 100 }~dL
\item   381,82 ~dL~ = {\color{red}  38,182 }~L
\item   426,67 ~cL~ = {\color{red}  42,667 }~dL
\end{itemize}
\end{multicols}
\end{document}
