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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 220}

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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   4 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{62}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{64}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   51,1  ~ \(\times\)  ~ 1 000
\item   34,2  ~ \(\times\)  ~ 100
\item   92,7  ~ \(\times\)  ~ 100
\item   0,381  ~ \(\times\)  ~ 1 000
\item   207  ~ \(\times\)  ~ 1 000
\item   893  ~ \(\times\)  ~ 10
\item   0,007  ~ \(\times\)  ~ 100
\item   318  ~ \(\times\)  ~ 100
\item   82  ~ \(\times\)  ~ 10
\item   2,8  ~ \(\times\)  ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 416  ~ : ~ 1 000
\item   966,3  ~ : ~ 10
\item   569  ~ : ~ 10
\item   1,188  ~ : ~ 100
\item   8,129  ~ : ~ 100
\item   715,1  ~ : ~ 100
\item   9 867  ~ : ~ 100
\item   7,553  ~ : ~ 100
\item   1,139  ~ : ~ 100
\item   9 833  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,8  ~ \(\times\)  ~ ... ~ = ~ 680
\item   1,24  ~ \(\times\)  ~ ... ~ = ~ 12,4
\item   0,075  ~ \(\times\)  ~ ... ~ = ~ 75
\item   24,4  ~ \(\times\)  ~ ... ~ = ~ 24 400
\item   0,192  ~ \(\times\)  ~ ... ~ = ~ 1,92
\item   1,62  ~ \(\times\)  ~ ... ~ = ~ 16,2
\item   2,77  ~ \(\times\)  ~ ... ~ = ~ 277
\item   0,028  ~ \(\times\)  ~ ... ~ = ~ 28
\item   0,057  ~ \(\times\)  ~ ... ~ = ~ 5,7
\item   88,5  ~ \(\times\)  ~ ... ~ = ~ 885
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,117  ~ \(\times\)  ~ 0,01
\item   7 320  ~ \(\times\)  ~ 0,1
\item   5 275  ~ \(\times\)  ~ 0,1
\item   2,396  ~ \(\times\)  ~ 0,1
\item   4 589  ~ \(\times\)  ~ 0,1
\item   3 726  ~ \(\times\)  ~ 0,1
\item   28,75  ~ \(\times\)  ~ 0,001
\item   17,12  ~ \(\times\)  ~ 0,1
\item   8,449  ~ \(\times\)  ~ 0,01
\item   81,76  ~ \(\times\)  ~ 0,01
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 645  ~ \(\times\)  ~ ... ~ = ~  1,645
\item   9,708  ~ \(\times\)  ~ ... ~ = ~  0,970 8
\item   2,619  ~ \(\times\)  ~ ... ~ = ~  0,261 9
\item   4 412  ~ \(\times\)  ~ ... ~ = ~  44,12
\item   8 429  ~ \(\times\)  ~ ... ~ = ~  842,9
\item   727,3  ~ \(\times\)  ~ ... ~ = ~  72,73
\item   6 639  ~ \(\times\)  ~ ... ~ = ~  66,39
\item   57,19  ~ \(\times\)  ~ ... ~ = ~  0,057 19
\item   842  ~ \(\times\)  ~ ... ~ = ~  84,2
\item   39,5  ~ \(\times\)  ~ ... ~ = ~  0,395
\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~ = ...~km
\item   1 ~hm~ = ...~dam
\item   1 ~dm~ = ...~m
\item   1 ~cm~ = ...~dm
\item   1 ~km~ = ...~m
\item   1 ~dam~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~dm~ = ...~hm
\item   1 ~dam~ = ...~km
\item   1 ~m~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 940,2 ~m~ = ...~mm
\item   409 ~hg~ = ...~cg
\item   465,45 ~daL~ = ...~dL
\item   8 687 ~mm~ = ...~cm
\item   2 344,4 ~daL~ = ...~kL
\item   119,59 ~mL~ = ...~daL
\item   672,02 ~hm~ = ...~cm
\item   4 814,8 ~kg~ = ...~cg
\item   7 152 ~g~ = ...~dag
\item   936,95 ~g~ = ...~cg
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   4 = \(\dfrac{40}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{6900}{100}\) = \(\dfrac{690}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{62}{10}\) = \(\dfrac{620}{100}\)
\item   \(\dfrac{64}{100}\) = \(\dfrac{640}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   51,1  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 51 100}
\item   34,2  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 3 420}
\item   92,7  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9 270}
\item   0,381  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 381}
\item   207  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 207 000}
\item   893  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8 930}
\item   0,007  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 0,7}
\item   318  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 31 800}
\item   82  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 820}
\item   2,8  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 280}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5 416 ~ : ~ 1 000 ~ = ~{\color{red} 5,416}
\item   966,3 ~ : ~ 10 ~ = ~{\color{red} 96,63}
\item   569 ~ : ~ 10 ~ = ~{\color{red} 56,9}
\item   1,188 ~ : ~ 100 ~ = ~{\color{red} 0,011 88}
\item   8,129 ~ : ~ 100 ~ = ~{\color{red} 0,081 29}
\item   715,1 ~ : ~ 100 ~ = ~{\color{red} 7,151}
\item   9 867 ~ : ~ 100 ~ = ~{\color{red} 98,67}
\item   7,553 ~ : ~ 100 ~ = ~{\color{red} 0,075 53}
\item   1,139 ~ : ~ 100 ~ = ~{\color{red} 0,011 39}
\item   9 833 ~ : ~ 1 000 ~ = ~{\color{red} 9,833}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6,8 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~680
\item   1,24 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~12,4
\item   0,075 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~75
\item   24,4 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~24 400
\item   0,192 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1,92
\item   1,62 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~16,2
\item   2,77 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~277
\item   0,028 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~28
\item   0,057 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~5,7
\item   88,5 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~885
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,117 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,051 17
}\item   7 320 ~ \(\times\)  0,1 ~ = ~{\color{red} 732
}\item   5 275 ~ \(\times\)  0,1 ~ = ~{\color{red} 527,5
}\item   2,396 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,239 6
}\item   4 589 ~ \(\times\)  0,1 ~ = ~{\color{red} 458,9
}\item   3 726 ~ \(\times\)  0,1 ~ = ~{\color{red} 372,6
}\item   28,75 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,028 75
}\item   17,12 ~ \(\times\)  0,1 ~ = ~{\color{red} 1,712
}\item   8,449 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,084 49
}\item   81,76 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,817 6
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 645 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 1,645
\item   9,708 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,970 8
\item   2,619 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,261 9
\item   4 412 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 44,12
\item   8 429 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 842,9
\item   727,3 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 72,73
\item   6 639 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 66,39
\item   57,19 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,057 19
\item   842 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 84,2
\item   39,5 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,395
\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~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~km~ = ~ {\color{red}  1 000 ~ }m
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~dam~ = ~  \(\dfrac{1}{100}\) ~ km
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 940,2 ~m~ = {\color{red}  9 940 200 }~mm
\item   409 ~hg~ = {\color{red}  4 090 000 }~cg
\item   465,45 ~daL~ = {\color{red}  46 545 }~dL
\item   8 687 ~mm~ = {\color{red}  868,7 }~cm
\item   2 344,4 ~daL~ = {\color{red}  23,444 }~kL
\item   119,59 ~mL~ = {\color{red}  0,011 959 }~daL
\item   672,02 ~hm~ = {\color{red}  6 720 200 }~cm
\item   4 814,8 ~kg~ = {\color{red}  481 480 000 }~cg
\item   7 152 ~g~ = {\color{red}  715,2 }~dag
\item   936,95 ~g~ = {\color{red}  93 695 }~cg
\end{itemize}
\end{multicols}
\end{document}
