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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 196}

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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   9 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{3700}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{93}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   332  ~ \(\times\)  ~ 100
\item   73,6  ~ \(\times\)  ~ 1 000
\item   0,029  ~ \(\times\)  ~ 10
\item   0,015  ~ \(\times\)  ~ 100
\item   6,35  ~ \(\times\)  ~ 1 000
\item   8,99  ~ \(\times\)  ~ 1 000
\item   447  ~ \(\times\)  ~ 1 000
\item   0,075  ~ \(\times\)  ~ 100
\item   0,057  ~ \(\times\)  ~ 1 000
\item   29,5  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,881  ~ : ~ 1 000
\item   2  ~ : ~ 10
\item   47,05  ~ : ~ 1 000
\item   902,9  ~ : ~ 10
\item   754,3  ~ : ~ 1 000
\item   98,04  ~ : ~ 100
\item   7,837  ~ : ~ 1 000
\item   8 837  ~ : ~ 100
\item   5,996  ~ : ~ 1 000
\item   5 382  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,519  ~ \(\times\)  ~ ... ~ = ~ 5,19
\item   6,7  ~ \(\times\)  ~ ... ~ = ~ 6 700
\item   0,844  ~ \(\times\)  ~ ... ~ = ~ 8,44
\item   74,9  ~ \(\times\)  ~ ... ~ = ~ 749
\item   779  ~ \(\times\)  ~ ... ~ = ~ 779 000
\item   0,082  ~ \(\times\)  ~ ... ~ = ~ 8,2
\item   0,262  ~ \(\times\)  ~ ... ~ = ~ 262
\item   43,6  ~ \(\times\)  ~ ... ~ = ~ 4 360
\item   0,041  ~ \(\times\)  ~ ... ~ = ~ 41
\item   0,385  ~ \(\times\)  ~ ... ~ = ~ 3,85
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   522  ~ \(\times\)  ~ 0,01
\item   394,7  ~ \(\times\)  ~ 0,1
\item   88,22  ~ \(\times\)  ~ 0,01
\item   917  ~ \(\times\)  ~ 0,001
\item   95,87  ~ \(\times\)  ~ 0,01
\item   59,69  ~ \(\times\)  ~ 0,01
\item   3,018  ~ \(\times\)  ~ 0,01
\item   2 997  ~ \(\times\)  ~ 0,001
\item   213,8  ~ \(\times\)  ~ 0,1
\item   8 464  ~ \(\times\)  ~ 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   5,446  ~ \(\times\)  ~ ... ~ = ~  0,005 446
\item   7,606  ~ \(\times\)  ~ ... ~ = ~  0,760 6
\item   613,8  ~ \(\times\)  ~ ... ~ = ~  61,38
\item   4,49  ~ \(\times\)  ~ ... ~ = ~  0,044 9
\item   2 222  ~ \(\times\)  ~ ... ~ = ~  2,222
\item   490  ~ \(\times\)  ~ ... ~ = ~  4,9
\item   6,14  ~ \(\times\)  ~ ... ~ = ~  0,006 14
\item   1 073  ~ \(\times\)  ~ ... ~ = ~  107,3
\item   3 073  ~ \(\times\)  ~ ... ~ = ~  307,3
\item   566,2  ~ \(\times\)  ~ ... ~ = ~  56,62
\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 ~m~ = ...~km
\item   1 ~km~ = ...~hm
\item   1 ~hm~ = ...~dm
\item   1 ~cm~ = ...~dam
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~km
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   808,57 ~km~ = ...~dm
\item   344,23 ~dam~ = ...~cm
\item   3 146,7 ~cg~ = ...~g
\item   995,42 ~km~ = ...~mm
\item   186,97 ~km~ = ...~cm
\item   3 196,8 ~dg~ = ...~mg
\item   4 119,8 ~mL~ = ...~L
\item   2 963,7 ~dam~ = ...~m
\item   2 871,9 ~kg~ = ...~mg
\item   5 116,1 ~kL~ = ...~hL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 = \(\dfrac{90}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{3700}{100}\) = \(\dfrac{370}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{95}{10}\) = \(\dfrac{950}{100}\)
\item   \(\dfrac{93}{100}\) = \(\dfrac{930}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   332  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 33 200}
\item   73,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 73 600}
\item   0,029  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,29}
\item   0,015  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,5}
\item   6,35  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 350}
\item   8,99  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 990}
\item   447  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 447 000}
\item   0,075  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,5}
\item   0,057  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 57}
\item   29,5  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 295}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,881 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 881}
\item   2 ~ : ~ 10 ~ = ~{\color{red} 0,2}
\item   47,05 ~ : ~ 1 000 ~ = ~{\color{red} 0,047 05}
\item   902,9 ~ : ~ 10 ~ = ~{\color{red} 90,29}
\item   754,3 ~ : ~ 1 000 ~ = ~{\color{red} 0,754 3}
\item   98,04 ~ : ~ 100 ~ = ~{\color{red} 0,980 4}
\item   7,837 ~ : ~ 1 000 ~ = ~{\color{red} 0,007 837}
\item   8 837 ~ : ~ 100 ~ = ~{\color{red} 88,37}
\item   5,996 ~ : ~ 1 000 ~ = ~{\color{red} 0,005 996}
\item   5 382 ~ : ~ 10 ~ = ~{\color{red} 538,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,519 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~5,19
\item   6,7 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~6 700
\item   0,844 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8,44
\item   74,9 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~749
\item   779 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~779 000
\item   0,082 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,2
\item   0,262 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~262
\item   43,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4 360
\item   0,041 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~41
\item   0,385 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,85
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   522 ~ \(\times\)  0,01 ~ = ~{\color{red} 5,22
}\item   394,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 39,47
}\item   88,22 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,882 2
}\item   917 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,917
}\item   95,87 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,958 7
}\item   59,69 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,596 9
}\item   3,018 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,030 18
}\item   2 997 ~ \(\times\)  0,001 ~ = ~{\color{red} 2,997
}\item   213,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 21,38
}\item   8 464 ~ \(\times\)  0,1 ~ = ~{\color{red} 846,4
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,446 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,005 446
\item   7,606 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,760 6
\item   613,8 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 61,38
\item   4,49 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,044 9
\item   2 222 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,222
\item   490 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 4,9
\item   6,14 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,006 14
\item   1 073 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 107,3
\item   3 073 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 307,3
\item   566,2 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 56,62
\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 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   808,57 ~km~ = {\color{red}  8 085 700 }~dm
\item   344,23 ~dam~ = {\color{red}  344 230 }~cm
\item   3 146,7 ~cg~ = {\color{red}  31,467 }~g
\item   995,42 ~km~ = {\color{red}  995 420 000 }~mm
\item   186,97 ~km~ = {\color{red}  18 697 000 }~cm
\item   3 196,8 ~dg~ = {\color{red}  319 680 }~mg
\item   4 119,8 ~mL~ = {\color{red}  4,119 8 }~L
\item   2 963,7 ~dam~ = {\color{red}  29 637 }~m
\item   2 871,9 ~kg~ = {\color{red}  2 871 900 000 }~mg
\item   5 116,1 ~kL~ = {\color{red}  51 161 }~hL
\end{itemize}
\end{multicols}
\end{document}
