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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 152}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{5900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{90}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26  ~ \(\times\)  ~ 1 000
\item   127  ~ \(\times\)  ~ 100
\item   0,787  ~ \(\times\)  ~ 1 000
\item   0,192  ~ \(\times\)  ~ 10
\item   93,6  ~ \(\times\)  ~ 1 000
\item   0,82  ~ \(\times\)  ~ 1 000
\item   0,057  ~ \(\times\)  ~ 10
\item   6,31  ~ \(\times\)  ~ 1 000
\item   7,79  ~ \(\times\)  ~ 100
\item   3,42  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,487  ~ : ~ 10
\item   1 726  ~ : ~ 10
\item   2 115  ~ : ~ 10
\item   6,534  ~ : ~ 10
\item   5,857  ~ : ~ 10
\item   8 622  ~ : ~ 10
\item   31,73  ~ : ~ 1 000
\item   7 721  ~ : ~ 1 000
\item   20,73  ~ : ~ 100
\item   97,88  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   97,9  ~ \(\times\)  ~ ... ~ = ~ 9 790
\item   0,069  ~ \(\times\)  ~ ... ~ = ~ 0,69
\item   2,83  ~ \(\times\)  ~ ... ~ = ~ 28,3
\item   0,952  ~ \(\times\)  ~ ... ~ = ~ 952
\item   0,963  ~ \(\times\)  ~ ... ~ = ~ 96,3
\item   3,01  ~ \(\times\)  ~ ... ~ = ~ 30,1
\item   0,084  ~ \(\times\)  ~ ... ~ = ~ 8,4
\item   8,1  ~ \(\times\)  ~ ... ~ = ~ 810
\item   76,2  ~ \(\times\)  ~ ... ~ = ~ 7 620
\item   98,6  ~ \(\times\)  ~ ... ~ = ~ 98 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   687,6  ~ \(\times\)  ~ 0,1
\item   2,641  ~ \(\times\)  ~ 0,1
\item   3,827  ~ \(\times\)  ~ 0,1
\item   34,34  ~ \(\times\)  ~ 0,001
\item   6 677  ~ \(\times\)  ~ 0,001
\item   7,776  ~ \(\times\)  ~ 0,01
\item   0,347  ~ \(\times\)  ~ 0,001
\item   827,8  ~ \(\times\)  ~ 0,01
\item   6 646  ~ \(\times\)  ~ 0,001
\item   6,01  ~ \(\times\)  ~ 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   1,49  ~ \(\times\)  ~ ... ~ = ~  0,014 9
\item   882,4  ~ \(\times\)  ~ ... ~ = ~  8,824
\item   2 817  ~ \(\times\)  ~ ... ~ = ~  281,7
\item   60,46  ~ \(\times\)  ~ ... ~ = ~  0,060 46
\item   2 844  ~ \(\times\)  ~ ... ~ = ~  2,844
\item   4,462  ~ \(\times\)  ~ ... ~ = ~  0,004 462
\item   4,747  ~ \(\times\)  ~ ... ~ = ~  0,047 47
\item   781  ~ \(\times\)  ~ ... ~ = ~  78,1
\item   5 182  ~ \(\times\)  ~ ... ~ = ~  5,182
\item   7,276  ~ \(\times\)  ~ ... ~ = ~  0,007 276
\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 ~dam~ = ...~dm
\item   1 ~dam~ = ...~cm
\item   1 ~dm~ = ...~dam
\item   1 ~km~ = ...~dam
\item   1 ~cm~ = ...~dm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~km
\item   1 ~hm~ = ...~m
\item   1 ~dam~ = ...~m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 849,4 ~L~ = ...~kL
\item   3 445,8 ~kg~ = ...~g
\item   4 173,7 ~mg~ = ...~dg
\item   511,42 ~mm~ = ...~m
\item   965,46 ~kg~ = ...~dag
\item   553,19 ~hL~ = ...~mL
\item   7 427,8 ~kg~ = ...~cg
\item   2 873,8 ~mm~ = ...~dm
\item   583,19 ~kg~ = ...~mg
\item   7 702,8 ~cm~ = ...~dm
\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   4 = \(\dfrac{400}{100}\)
\item   \(\dfrac{5900}{100}\) = \(\dfrac{590}{10}\)
\item   \(\dfrac{4}{10}\) = \(\dfrac{400}{1\,000}\)
\item   \(\dfrac{22}{10}\) = \(\dfrac{220}{100}\)
\item   \(\dfrac{90}{100}\) = \(\dfrac{900}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   26  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 26 000}
\item   127  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 12 700}
\item   0,787  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 787}
\item   0,192  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,92}
\item   93,6  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 93 600}
\item   0,82  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 820}
\item   0,057  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,57}
\item   6,31  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 6 310}
\item   7,79  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 779}
\item   3,42  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 34,2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   8,487 ~ : ~ 10 ~ = ~{\color{red} 0,848 7}
\item   1 726 ~ : ~ 10 ~ = ~{\color{red} 172,6}
\item   2 115 ~ : ~ 10 ~ = ~{\color{red} 211,5}
\item   6,534 ~ : ~ 10 ~ = ~{\color{red} 0,653 4}
\item   5,857 ~ : ~ 10 ~ = ~{\color{red} 0,585 7}
\item   8 622 ~ : ~ 10 ~ = ~{\color{red} 862,2}
\item   31,73 ~ : ~ 1 000 ~ = ~{\color{red} 0,031 73}
\item   7 721 ~ : ~ 1 000 ~ = ~{\color{red} 7,721}
\item   20,73 ~ : ~ 100 ~ = ~{\color{red} 0,207 3}
\item   97,88 ~ : ~ 1 000 ~ = ~{\color{red} 0,097 88}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   97,9 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~9 790
\item   0,069 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,69
\item   2,83 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~28,3
\item   0,952 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~952
\item   0,963 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~96,3
\item   3,01 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~30,1
\item   0,084 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~8,4
\item   8,1 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~810
\item   76,2 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~7 620
\item   98,6 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~98 600
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   687,6 ~ \(\times\)  0,1 ~ = ~{\color{red} 68,76
}\item   2,641 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,264 1
}\item   3,827 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,382 7
}\item   34,34 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,034 34
}\item   6 677 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,677
}\item   7,776 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,077 76
}\item   0,347 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,000 347
}\item   827,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 8,278
}\item   6 646 ~ \(\times\)  0,001 ~ = ~{\color{red} 6,646
}\item   6,01 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,601
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1,49 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,014 9
\item   882,4 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 8,824
\item   2 817 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 281,7
\item   60,46 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,060 46
\item   2 844 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 2,844
\item   4,462 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,004 462
\item   4,747 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,047 47
\item   781 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 78,1
\item   5 182 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,182
\item   7,276 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 276
\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 ~dam~ = ~ {\color{red}  100 ~ }dm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  100 ~ }m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 849,4 ~L~ = {\color{red}  4,849 4 }~kL
\item   3 445,8 ~kg~ = {\color{red}  3 445 800 }~g
\item   4 173,7 ~mg~ = {\color{red}  41,737 }~dg
\item   511,42 ~mm~ = {\color{red}  0,511 42 }~m
\item   965,46 ~kg~ = {\color{red}  96 546 }~dag
\item   553,19 ~hL~ = {\color{red}  55 319 000 }~mL
\item   7 427,8 ~kg~ = {\color{red}  742 780 000 }~cg
\item   2 873,8 ~mm~ = {\color{red}  28,738 }~dm
\item   583,19 ~kg~ = {\color{red}  583 190 000 }~mg
\item   7 702,8 ~cm~ = {\color{red}  770,28 }~dm
\end{itemize}
\end{multicols}
\end{document}
