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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 46}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   8 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{1600}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{92}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{77}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,016  ~ \(\times\)  ~ 1 000
\item   978  ~ \(\times\)  ~ 10
\item   0,79  ~ \(\times\)  ~ 1 000
\item   853  ~ \(\times\)  ~ 10
\item   0,015  ~ \(\times\)  ~ 100
\item   5,49  ~ \(\times\)  ~ 1 000
\item   965  ~ \(\times\)  ~ 100
\item   0,731  ~ \(\times\)  ~ 100
\item   0,168  ~ \(\times\)  ~ 100
\item   859  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 020  ~ : ~ 100
\item   38,09  ~ : ~ 1 000
\item   73,74  ~ : ~ 10
\item   18,48  ~ : ~ 10
\item   5,599  ~ : ~ 100
\item   3,111  ~ : ~ 100
\item   594,4  ~ : ~ 10
\item   965,7  ~ : ~ 1 000
\item   5 248  ~ : ~ 100
\item   19,98  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,96  ~ \(\times\)  ~ ... ~ = ~ 1 960
\item   0,078  ~ \(\times\)  ~ ... ~ = ~ 78
\item   60,5  ~ \(\times\)  ~ ... ~ = ~ 60 500
\item   56,4  ~ \(\times\)  ~ ... ~ = ~ 564
\item   412  ~ \(\times\)  ~ ... ~ = ~ 412 000
\item   8,87  ~ \(\times\)  ~ ... ~ = ~ 88,7
\item   594  ~ \(\times\)  ~ ... ~ = ~ 594 000
\item   74,2  ~ \(\times\)  ~ ... ~ = ~ 7 420
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 42
\item   971  ~ \(\times\)  ~ ... ~ = ~ 971 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,5  ~ \(\times\)  ~ 0,1
\item   6 090  ~ \(\times\)  ~ 0,1
\item   6,522  ~ \(\times\)  ~ 0,001
\item   301,5  ~ \(\times\)  ~ 0,01
\item   89,84  ~ \(\times\)  ~ 0,001
\item   7,817  ~ \(\times\)  ~ 0,001
\item   2,541  ~ \(\times\)  ~ 0,001
\item   5,206  ~ \(\times\)  ~ 0,1
\item   6 336  ~ \(\times\)  ~ 0,1
\item   96,6  ~ \(\times\)  ~ 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   62,88  ~ \(\times\)  ~ ... ~ = ~  0,628 8
\item   84,68  ~ \(\times\)  ~ ... ~ = ~  8,468
\item   674,2  ~ \(\times\)  ~ ... ~ = ~  6,742
\item   6,477  ~ \(\times\)  ~ ... ~ = ~  0,064 77
\item   4 914  ~ \(\times\)  ~ ... ~ = ~  491,4
\item   1,51  ~ \(\times\)  ~ ... ~ = ~  0,001 51
\item   65,02  ~ \(\times\)  ~ ... ~ = ~  0,065 02
\item   1,03  ~ \(\times\)  ~ ... ~ = ~  0,103
\item   55,37  ~ \(\times\)  ~ ... ~ = ~  0,055 37
\item   7 257  ~ \(\times\)  ~ ... ~ = ~  725,7
\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 ~dm~ = ...~m
\item   1 ~hm~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~dam~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~dam~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~cm~ = ...~dam
\item   1 ~dam~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   594,62 ~m~ = ...~dm
\item   357,43 ~dag~ = ...~mg
\item   350,56 ~hL~ = ...~dL
\item   1 943,7 ~hm~ = ...~dam
\item   5 329,2 ~daL~ = ...~mL
\item   382,48 ~mg~ = ...~kg
\item   4 352 ~mm~ = ...~dam
\item   373,24 ~hL~ = ...~mL
\item   772,55 ~mg~ = ...~cg
\item   7 198,2 ~mL~ = ...~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   2 = \(\dfrac{20}{10}\)
\item   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{1600}{100}\) = \(\dfrac{160}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{92}{10}\) = \(\dfrac{920}{100}\)
\item   \(\dfrac{77}{100}\) = \(\dfrac{770}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,016  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 16}
\item   978  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 780}
\item   0,79  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 790}
\item   853  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 530}
\item   0,015  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 1,5}
\item   5,49  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 5 490}
\item   965  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 96 500}
\item   0,731  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 73,1}
\item   0,168  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 16,8}
\item   859  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 85 900}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 020 ~ : ~ 100 ~ = ~{\color{red} 90,2}
\item   38,09 ~ : ~ 1 000 ~ = ~{\color{red} 0,038 09}
\item   73,74 ~ : ~ 10 ~ = ~{\color{red} 7,374}
\item   18,48 ~ : ~ 10 ~ = ~{\color{red} 1,848}
\item   5,599 ~ : ~ 100 ~ = ~{\color{red} 0,055 99}
\item   3,111 ~ : ~ 100 ~ = ~{\color{red} 0,031 11}
\item   594,4 ~ : ~ 10 ~ = ~{\color{red} 59,44}
\item   965,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,965 7}
\item   5 248 ~ : ~ 100 ~ = ~{\color{red} 52,48}
\item   19,98 ~ : ~ 1 000 ~ = ~{\color{red} 0,019 98}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,96 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~1 960
\item   0,078 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~78
\item   60,5 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~60 500
\item   56,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~564
\item   412 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~412 000
\item   8,87 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~88,7
\item   594 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~594 000
\item   74,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 420
\item   0,042 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42
\item   971 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~971 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   67,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,75
}\item   6 090 ~ \(\times\)  0,1 ~ = ~{\color{red} 609
}\item   6,522 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,006 522
}\item   301,5 ~ \(\times\)  0,01 ~ = ~{\color{red} 3,015
}\item   89,84 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,089 84
}\item   7,817 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 817
}\item   2,541 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,002 541
}\item   5,206 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,520 6
}\item   6 336 ~ \(\times\)  0,1 ~ = ~{\color{red} 633,6
}\item   96,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 9,66
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   62,88 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,628 8
\item   84,68 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,468
\item   674,2 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 6,742
\item   6,477 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,064 77
\item   4 914 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 491,4
\item   1,51 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 51
\item   65,02 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,065 02
\item   1,03 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,103
\item   55,37 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,055 37
\item   7 257 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 725,7
\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 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   594,62 ~m~ = {\color{red}  5 946,2 }~dm
\item   357,43 ~dag~ = {\color{red}  3 574 300 }~mg
\item   350,56 ~hL~ = {\color{red}  350 560 }~dL
\item   1 943,7 ~hm~ = {\color{red}  19 437 }~dam
\item   5 329,2 ~daL~ = {\color{red}  53 292 000 }~mL
\item   382,48 ~mg~ = {\color{red}  0,000 382 48 }~kg
\item   4 352 ~mm~ = {\color{red}  0,435 2 }~dam
\item   373,24 ~hL~ = {\color{red}  37 324 000 }~mL
\item   772,55 ~mg~ = {\color{red}  77,255 }~cg
\item   7 198,2 ~mL~ = {\color{red}  719,82 }~cL
\end{itemize}
\end{multicols}
\end{document}
