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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 291}

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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   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   3 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6000}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,076  ~ \(\times\)  ~ 100
\item   77,3  ~ \(\times\)  ~ 100
\item   0,061  ~ \(\times\)  ~ 100
\item   0,352  ~ \(\times\)  ~ 10
\item   0,019  ~ \(\times\)  ~ 10
\item   323  ~ \(\times\)  ~ 1 000
\item   341  ~ \(\times\)  ~ 100
\item   7,4  ~ \(\times\)  ~ 10
\item   1,75  ~ \(\times\)  ~ 10
\item   0,063  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   846,8  ~ : ~ 10
\item   71,19  ~ : ~ 1 000
\item   0,327  ~ : ~ 1 000
\item   3 558  ~ : ~ 10
\item   2,662  ~ : ~ 10
\item   814,1  ~ : ~ 1 000
\item   0,882  ~ : ~ 10
\item   6 616  ~ : ~ 10
\item   682,8  ~ : ~ 1 000
\item   674,7  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,6  ~ \(\times\)  ~ ... ~ = ~ 960
\item   574  ~ \(\times\)  ~ ... ~ = ~ 574 000
\item   1,43  ~ \(\times\)  ~ ... ~ = ~ 1 430
\item   0,047  ~ \(\times\)  ~ ... ~ = ~ 47
\item   0,516  ~ \(\times\)  ~ ... ~ = ~ 516
\item   973  ~ \(\times\)  ~ ... ~ = ~ 97 300
\item   0,019  ~ \(\times\)  ~ ... ~ = ~ 1,9
\item   759  ~ \(\times\)  ~ ... ~ = ~ 759 000
\item   0,441  ~ \(\times\)  ~ ... ~ = ~ 44,1
\item   0,043  ~ \(\times\)  ~ ... ~ = ~ 4,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   128,7  ~ \(\times\)  ~ 0,1
\item   888,8  ~ \(\times\)  ~ 0,001
\item   2,009  ~ \(\times\)  ~ 0,01
\item   1 832  ~ \(\times\)  ~ 0,1
\item   483,8  ~ \(\times\)  ~ 0,001
\item   34,58  ~ \(\times\)  ~ 0,1
\item   73  ~ \(\times\)  ~ 0,01
\item   756,1  ~ \(\times\)  ~ 0,01
\item   8,36  ~ \(\times\)  ~ 0,1
\item   7 951  ~ \(\times\)  ~ 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   77,57  ~ \(\times\)  ~ ... ~ = ~  0,077 57
\item   59,25  ~ \(\times\)  ~ ... ~ = ~  5,925
\item   39,7  ~ \(\times\)  ~ ... ~ = ~  0,397
\item   423,8  ~ \(\times\)  ~ ... ~ = ~  0,423 8
\item   6 615  ~ \(\times\)  ~ ... ~ = ~  661,5
\item   3,655  ~ \(\times\)  ~ ... ~ = ~  0,036 55
\item   1 987  ~ \(\times\)  ~ ... ~ = ~  19,87
\item   2,247  ~ \(\times\)  ~ ... ~ = ~  0,002 247
\item   5 682  ~ \(\times\)  ~ ... ~ = ~  568,2
\item   222,1  ~ \(\times\)  ~ ... ~ = ~  22,21
\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 ~dm~ = ...~hm
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~cm
\item   1 ~m~ = ...~dam
\item   1 ~hm~ = ...~dam
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~km
\item   1 ~km~ = ...~m
\item   1 ~m~ = ...~km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 203,3 ~cm~ = ...~hm
\item   191,25 ~cg~ = ...~g
\item   5 029,3 ~kL~ = ...~L
\item   5 021,1 ~dg~ = ...~dag
\item   7 896,5 ~daL~ = ...~mL
\item   990,97 ~dL~ = ...~L
\item   2 203,5 ~dg~ = ...~kg
\item   263,01 ~km~ = ...~dam
\item   496,67 ~hg~ = ...~kg
\item   954,46 ~hL~ = ...~cL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   8 = \(\dfrac{80}{10}\)
\item   3 = \(\dfrac{300}{100}\)
\item   \(\dfrac{6000}{100}\) = \(\dfrac{600}{10}\)
\item   \(\dfrac{9}{10}\) = \(\dfrac{900}{1\,000}\)
\item   \(\dfrac{72}{10}\) = \(\dfrac{720}{100}\)
\item   \(\dfrac{26}{100}\) = \(\dfrac{260}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,076  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7,6}
\item   77,3  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7 730}
\item   0,061  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6,1}
\item   0,352  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3,52}
\item   0,019  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,19}
\item   323  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 323 000}
\item   341  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 34 100}
\item   7,4  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 74}
\item   1,75  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 17,5}
\item   0,063  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 63}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   846,8 ~ : ~ 10 ~ = ~{\color{red} 84,68}
\item   71,19 ~ : ~ 1 000 ~ = ~{\color{red} 0,071 19}
\item   0,327 ~ : ~ 1 000 ~ = ~{\color{red} 0,000 327}
\item   3 558 ~ : ~ 10 ~ = ~{\color{red} 355,8}
\item   2,662 ~ : ~ 10 ~ = ~{\color{red} 0,266 2}
\item   814,1 ~ : ~ 1 000 ~ = ~{\color{red} 0,814 1}
\item   0,882 ~ : ~ 10 ~ = ~{\color{red} 0,088 2}
\item   6 616 ~ : ~ 10 ~ = ~{\color{red} 661,6}
\item   682,8 ~ : ~ 1 000 ~ = ~{\color{red} 0,682 8}
\item   674,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,674 7}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9,6 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~960
\item   574 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~574 000
\item   1,43 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 430
\item   0,047 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~47
\item   0,516 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~516
\item   973 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~97 300
\item   0,019 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,9
\item   759 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~759 000
\item   0,441 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~44,1
\item   0,043 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~4,3
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   128,7 ~ \(\times\)  0,1 ~ = ~{\color{red} 12,87
}\item   888,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,888 8
}\item   2,009 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,020 09
}\item   1 832 ~ \(\times\)  0,1 ~ = ~{\color{red} 183,2
}\item   483,8 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,483 8
}\item   34,58 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,458
}\item   73 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,73
}\item   756,1 ~ \(\times\)  0,01 ~ = ~{\color{red} 7,561
}\item   8,36 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,836
}\item   7 951 ~ \(\times\)  0,1 ~ = ~{\color{red} 795,1
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   77,57 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,077 57
\item   59,25 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 5,925
\item   39,7 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,397
\item   423,8 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,423 8
\item   6 615 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 661,5
\item   3,655 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,036 55
\item   1 987 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 19,87
\item   2,247 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,002 247
\item   5 682 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 568,2
\item   222,1 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 22,21
\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 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~  \(\dfrac{1}{10}\) ~ km
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7 203,3 ~cm~ = {\color{red}  0,720 33 }~hm
\item   191,25 ~cg~ = {\color{red}  1,912 5 }~g
\item   5 029,3 ~kL~ = {\color{red}  5 029 300 }~L
\item   5 021,1 ~dg~ = {\color{red}  50,211 }~dag
\item   7 896,5 ~daL~ = {\color{red}  78 965 000 }~mL
\item   990,97 ~dL~ = {\color{red}  99,097 }~L
\item   2 203,5 ~dg~ = {\color{red}  0,220 35 }~kg
\item   263,01 ~km~ = {\color{red}  26 301 }~dam
\item   496,67 ~hg~ = {\color{red}  49,667 }~kg
\item   954,46 ~hL~ = {\color{red}  9 544 600 }~cL
\end{itemize}
\end{multicols}
\end{document}
