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\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 212}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{82}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,2  ~ \(\times\)  ~ 10
\item   31  ~ \(\times\)  ~ 1 000
\item   33,8  ~ \(\times\)  ~ 10
\item   4,41  ~ \(\times\)  ~ 100
\item   0,8  ~ \(\times\)  ~ 10
\item   173  ~ \(\times\)  ~ 100
\item   304  ~ \(\times\)  ~ 100
\item   2,08  ~ \(\times\)  ~ 100
\item   0,06  ~ \(\times\)  ~ 100
\item   310  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   869,2  ~ : ~ 100
\item   9 259  ~ : ~ 10
\item   3 600  ~ : ~ 10
\item   15,56  ~ : ~ 10
\item   804,7  ~ : ~ 1 000
\item   622,1  ~ : ~ 100
\item   40,08  ~ : ~ 10
\item   20,52  ~ : ~ 1 000
\item   456,6  ~ : ~ 10
\item   234  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,039  ~ \(\times\)  ~ ... ~ = ~ 3,9
\item   188  ~ \(\times\)  ~ ... ~ = ~ 1 880
\item   0,032  ~ \(\times\)  ~ ... ~ = ~ 3,2
\item   0,588  ~ \(\times\)  ~ ... ~ = ~ 588
\item   0,958  ~ \(\times\)  ~ ... ~ = ~ 9,58
\item   0,569  ~ \(\times\)  ~ ... ~ = ~ 569
\item   845  ~ \(\times\)  ~ ... ~ = ~ 8 450
\item   0,169  ~ \(\times\)  ~ ... ~ = ~ 169
\item   2,54  ~ \(\times\)  ~ ... ~ = ~ 25,4
\item   537  ~ \(\times\)  ~ ... ~ = ~ 53 700
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,243  ~ \(\times\)  ~ 0,1
\item   4 520  ~ \(\times\)  ~ 0,01
\item   8,251  ~ \(\times\)  ~ 0,001
\item   225  ~ \(\times\)  ~ 0,1
\item   9 763  ~ \(\times\)  ~ 0,1
\item   66,5  ~ \(\times\)  ~ 0,1
\item   56,1  ~ \(\times\)  ~ 0,1
\item   949,2  ~ \(\times\)  ~ 0,001
\item   334,8  ~ \(\times\)  ~ 0,1
\item   2 295  ~ \(\times\)  ~ 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   3 650  ~ \(\times\)  ~ ... ~ = ~  365
\item   7,791  ~ \(\times\)  ~ ... ~ = ~  0,007 791
\item   9,27  ~ \(\times\)  ~ ... ~ = ~  0,927
\item   97,22  ~ \(\times\)  ~ ... ~ = ~  0,972 2
\item   9,028  ~ \(\times\)  ~ ... ~ = ~  0,090 28
\item   4 583  ~ \(\times\)  ~ ... ~ = ~  4,583
\item   64,57  ~ \(\times\)  ~ ... ~ = ~  0,645 7
\item   78,19  ~ \(\times\)  ~ ... ~ = ~  0,078 19
\item   5 709  ~ \(\times\)  ~ ... ~ = ~  5,709
\item   77,9  ~ \(\times\)  ~ ... ~ = ~  7,79
\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~ = ...~cm
\item   1 ~dm~ = ...~cm
\item   1 ~hm~ = ...~cm
\item   1 ~cm~ = ...~dam
\item   1 ~hm~ = ...~dm
\item   1 ~m~ = ...~dam
\item   1 ~m~ = ...~hm
\item   1 ~dam~ = ...~m
\item   1 ~hm~ = ...~dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 398,6 ~g~ = ...~kg
\item   755,51 ~daL~ = ...~mL
\item   9 427,9 ~daL~ = ...~L
\item   365,95 ~hL~ = ...~mL
\item   225,38 ~mL~ = ...~kL
\item   963,16 ~kL~ = ...~daL
\item   4 913,3 ~L~ = ...~hL
\item   4 390,5 ~dg~ = ...~hg
\item   203,18 ~mm~ = ...~m
\item   3 438,2 ~kg~ = ...~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   7 = \(\dfrac{70}{10}\)
\item   2 = \(\dfrac{200}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{850}{10}\)
\item   \(\dfrac{1}{10}\) = \(\dfrac{100}{1\,000}\)
\item   \(\dfrac{49}{10}\) = \(\dfrac{490}{100}\)
\item   \(\dfrac{82}{100}\) = \(\dfrac{820}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   14,2  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 142}
\item   31  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 31 000}
\item   33,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 338}
\item   4,41  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 441}
\item   0,8  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 8}
\item   173  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 17 300}
\item   304  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 30 400}
\item   2,08  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 208}
\item   0,06  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 6}
\item   310  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 310 000}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   869,2 ~ : ~ 100 ~ = ~{\color{red} 8,692}
\item   9 259 ~ : ~ 10 ~ = ~{\color{red} 925,9}
\item   3 600 ~ : ~ 10 ~ = ~{\color{red} 360}
\item   15,56 ~ : ~ 10 ~ = ~{\color{red} 1,556}
\item   804,7 ~ : ~ 1 000 ~ = ~{\color{red} 0,804 7}
\item   622,1 ~ : ~ 100 ~ = ~{\color{red} 6,221}
\item   40,08 ~ : ~ 10 ~ = ~{\color{red} 4,008}
\item   20,52 ~ : ~ 1 000 ~ = ~{\color{red} 0,020 52}
\item   456,6 ~ : ~ 10 ~ = ~{\color{red} 45,66}
\item   234 ~ : ~ 10 ~ = ~{\color{red} 23,4}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,039 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,9
\item   188 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~1 880
\item   0,032 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~3,2
\item   0,588 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~588
\item   0,958 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~9,58
\item   0,569 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~569
\item   845 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~8 450
\item   0,169 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~169
\item   2,54 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~25,4
\item   537 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~53 700
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,243 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,524 3
}\item   4 520 ~ \(\times\)  0,01 ~ = ~{\color{red} 45,2
}\item   8,251 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,008 251
}\item   225 ~ \(\times\)  0,1 ~ = ~{\color{red} 22,5
}\item   9 763 ~ \(\times\)  0,1 ~ = ~{\color{red} 976,3
}\item   66,5 ~ \(\times\)  0,1 ~ = ~{\color{red} 6,65
}\item   56,1 ~ \(\times\)  0,1 ~ = ~{\color{red} 5,61
}\item   949,2 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,949 2
}\item   334,8 ~ \(\times\)  0,1 ~ = ~{\color{red} 33,48
}\item   2 295 ~ \(\times\)  0,01 ~ = ~{\color{red} 22,95
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3 650 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 365
\item   7,791 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,007 791
\item   9,27 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,927
\item   97,22 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,972 2
\item   9,028 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,090 28
\item   4 583 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 4,583
\item   64,57 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,645 7
\item   78,19 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,078 19
\item   5 709 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,709
\item   77,9 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 7,79
\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}  1 000 ~ }cm
\item   1 ~dm~ = ~ {\color{red}  10 ~ }cm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~cm~ = ~  \(\dfrac{1}{1\,000}\) ~ dam
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~m~ = ~  \(\dfrac{1}{10}\) ~ dam
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 398,6 ~g~ = {\color{red}  9,398 6 }~kg
\item   755,51 ~daL~ = {\color{red}  7 555 100 }~mL
\item   9 427,9 ~daL~ = {\color{red}  94 279 }~L
\item   365,95 ~hL~ = {\color{red}  36 595 000 }~mL
\item   225,38 ~mL~ = {\color{red}  0,000 225 38 }~kL
\item   963,16 ~kL~ = {\color{red}  96 316 }~daL
\item   4 913,3 ~L~ = {\color{red}  49,133 }~hL
\item   4 390,5 ~dg~ = {\color{red}  4,390 5 }~hg
\item   203,18 ~mm~ = {\color{red}  0,203 18 }~m
\item   3 438,2 ~kg~ = {\color{red}  343 820 000 }~cg
\end{itemize}
\end{multicols}
\end{document}
