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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 151}

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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   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\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   0,127  ~ \(\times\)  ~ 100
\item   595  ~ \(\times\)  ~ 100
\item   0,118  ~ \(\times\)  ~ 1 000
\item   30,3  ~ \(\times\)  ~ 1 000
\item   0,038  ~ \(\times\)  ~ 10
\item   14,5  ~ \(\times\)  ~ 100
\item   89,8  ~ \(\times\)  ~ 1 000
\item   89,8  ~ \(\times\)  ~ 10
\item   0,355  ~ \(\times\)  ~ 10
\item   0,036  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,82  ~ : ~ 1 000
\item   504,4  ~ : ~ 1 000
\item   8,384  ~ : ~ 10
\item   2 390  ~ : ~ 100
\item   8,337  ~ : ~ 1 000
\item   2,144  ~ : ~ 100
\item   3,253  ~ : ~ 1 000
\item   3 831  ~ : ~ 1 000
\item   7 342  ~ : ~ 100
\item   782,6  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,5  ~ \(\times\)  ~ ... ~ = ~ 21 500
\item   544  ~ \(\times\)  ~ ... ~ = ~ 54 400
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 0,42
\item   0,74  ~ \(\times\)  ~ ... ~ = ~ 740
\item   6,04  ~ \(\times\)  ~ ... ~ = ~ 604
\item   143  ~ \(\times\)  ~ ... ~ = ~ 143 000
\item   0,043  ~ \(\times\)  ~ ... ~ = ~ 4,3
\item   0,063  ~ \(\times\)  ~ ... ~ = ~ 0,63
\item   123  ~ \(\times\)  ~ ... ~ = ~ 123 000
\item   0,051  ~ \(\times\)  ~ ... ~ = ~ 5,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,497  ~ \(\times\)  ~ 0,01
\item   8,39  ~ \(\times\)  ~ 0,1
\item   8 329  ~ \(\times\)  ~ 0,1
\item   71,71  ~ \(\times\)  ~ 0,01
\item   9 383  ~ \(\times\)  ~ 0,1
\item   4,253  ~ \(\times\)  ~ 0,001
\item   3,592  ~ \(\times\)  ~ 0,001
\item   825,6  ~ \(\times\)  ~ 0,1
\item   6 829  ~ \(\times\)  ~ 0,1
\item   409  ~ \(\times\)  ~ 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   173  ~ \(\times\)  ~ ... ~ = ~  17,3
\item   72,84  ~ \(\times\)  ~ ... ~ = ~  0,072 84
\item   31,58  ~ \(\times\)  ~ ... ~ = ~  3,158
\item   859,3  ~ \(\times\)  ~ ... ~ = ~  0,859 3
\item   117,1  ~ \(\times\)  ~ ... ~ = ~  0,117 1
\item   83,4  ~ \(\times\)  ~ ... ~ = ~  8,34
\item   5 898  ~ \(\times\)  ~ ... ~ = ~  5,898
\item   692,6  ~ \(\times\)  ~ ... ~ = ~  6,926
\item   903,5  ~ \(\times\)  ~ ... ~ = ~  90,35
\item   241,4  ~ \(\times\)  ~ ... ~ = ~  2,414
\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 ~km~ = ...~hm
\item   1 ~dm~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~km~ = ...~cm
\item   1 ~dam~ = ...~km
\item   1 ~hm~ = ...~cm
\item   1 ~dm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~km~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 995,6 ~kL~ = ...~dL
\item   4 274,7 ~mm~ = ...~cm
\item   708,06 ~mL~ = ...~dL
\item   753,59 ~dag~ = ...~kg
\item   673,09 ~hL~ = ...~L
\item   2 454,9 ~g~ = ...~cg
\item   593,4 ~m~ = ...~km
\item   6 803 ~km~ = ...~mm
\item   181,75 ~dg~ = ...~mg
\item   8 900,3 ~m~ = ...~cm
\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   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{5600}{100}\) = \(\dfrac{560}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{58}{10}\) = \(\dfrac{580}{100}\)
\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   0,127  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 12,7}
\item   595  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 59 500}
\item   0,118  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 118}
\item   30,3  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 30 300}
\item   0,038  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,38}
\item   14,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1 450}
\item   89,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 89 800}
\item   89,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 898}
\item   0,355  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,55}
\item   0,036  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3,6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   17,82 ~ : ~ 1 000 ~ = ~{\color{red} 0,017 82}
\item   504,4 ~ : ~ 1 000 ~ = ~{\color{red} 0,504 4}
\item   8,384 ~ : ~ 10 ~ = ~{\color{red} 0,838 4}
\item   2 390 ~ : ~ 100 ~ = ~{\color{red} 23,9}
\item   8,337 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 337}
\item   2,144 ~ : ~ 100 ~ = ~{\color{red} 0,021 44}
\item   3,253 ~ : ~ 1 000 ~ = ~{\color{red} 0,003 253}
\item   3 831 ~ : ~ 1 000 ~ = ~{\color{red} 3,831}
\item   7 342 ~ : ~ 100 ~ = ~{\color{red} 73,42}
\item   782,6 ~ : ~ 1 000 ~ = ~{\color{red} 0,782 6}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   21,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~21 500
\item   544 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~54 400
\item   0,042 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,42
\item   0,74 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~740
\item   6,04 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~604
\item   143 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~143 000
\item   0,043 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,3
\item   0,063 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,63
\item   123 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~123 000
\item   0,051 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,1
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,497 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,044 97
}\item   8,39 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,839
}\item   8 329 ~ \(\times\)  0,1 ~ = ~{\color{red} 832,9
}\item   71,71 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,717 1
}\item   9 383 ~ \(\times\)  0,1 ~ = ~{\color{red} 938,3
}\item   4,253 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 253
}\item   3,592 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,003 592
}\item   825,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 82,56
}\item   6 829 ~ \(\times\)  0,1 ~ = ~{\color{red} 682,9
}\item   409 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,409
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   173 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 17,3
\item   72,84 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,072 84
\item   31,58 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,158
\item   859,3 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,859 3
\item   117,1 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,117 1
\item   83,4 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,34
\item   5 898 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,898
\item   692,6 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,926
\item   903,5 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 90,35
\item   241,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 2,414
\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 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~km~ = ~ {\color{red}  100 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 995,6 ~kL~ = {\color{red}  39 956 000 }~dL
\item   4 274,7 ~mm~ = {\color{red}  427,47 }~cm
\item   708,06 ~mL~ = {\color{red}  7,080 6 }~dL
\item   753,59 ~dag~ = {\color{red}  7,535 9 }~kg
\item   673,09 ~hL~ = {\color{red}  67 309 }~L
\item   2 454,9 ~g~ = {\color{red}  245 490 }~cg
\item   593,4 ~m~ = {\color{red}  0,593 4 }~km
\item   6 803 ~km~ = {\color{red}  6 803 000 000 }~mm
\item   181,75 ~dg~ = {\color{red}  18 175 }~mg
\item   8 900,3 ~m~ = {\color{red}  890 030 }~cm
\end{itemize}
\end{multicols}
\end{document}
