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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   1 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   6 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{45}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{24}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   867  ~ \(\times\)  ~ 100
\item   0,056  ~ \(\times\)  ~ 100
\item   357  ~ \(\times\)  ~ 10
\item   1,47  ~ \(\times\)  ~ 1 000
\item   35  ~ \(\times\)  ~ 10
\item   0,01  ~ \(\times\)  ~ 10
\item   0,091  ~ \(\times\)  ~ 100
\item   80  ~ \(\times\)  ~ 100
\item   0,758  ~ \(\times\)  ~ 10
\item   936  ~ \(\times\)  ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   243  ~ : ~ 10
\item   4,881  ~ : ~ 1 000
\item   79,14  ~ : ~ 100
\item   7,03  ~ : ~ 100
\item   8,648  ~ : ~ 10
\item   87,36  ~ : ~ 10
\item   6,625  ~ : ~ 1 000
\item   8,924  ~ : ~ 1 000
\item   69,74  ~ : ~ 1 000
\item   62,2  ~ : ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   848  ~ \(\times\)  ~ ... ~ = ~ 84 800
\item   6,82  ~ \(\times\)  ~ ... ~ = ~ 68,2
\item   3,51  ~ \(\times\)  ~ ... ~ = ~ 3 510
\item   409  ~ \(\times\)  ~ ... ~ = ~ 409 000
\item   0,476  ~ \(\times\)  ~ ... ~ = ~ 476
\item   8,06  ~ \(\times\)  ~ ... ~ = ~ 80,6
\item   0,02  ~ \(\times\)  ~ ... ~ = ~ 0,2
\item   8,6  ~ \(\times\)  ~ ... ~ = ~ 86
\item   9,26  ~ \(\times\)  ~ ... ~ = ~ 92,6
\item   0,042  ~ \(\times\)  ~ ... ~ = ~ 42
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   10,79  ~ \(\times\)  ~ 0,01
\item   3,924  ~ \(\times\)  ~ 0,1
\item   2,62  ~ \(\times\)  ~ 0,01
\item   7 658  ~ \(\times\)  ~ 0,1
\item   2,308  ~ \(\times\)  ~ 0,1
\item   4,45  ~ \(\times\)  ~ 0,01
\item   4,556  ~ \(\times\)  ~ 0,001
\item   6 988  ~ \(\times\)  ~ 0,1
\item   11,26  ~ \(\times\)  ~ 0,001
\item   1 555  ~ \(\times\)  ~ 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   0,241  ~ \(\times\)  ~ ... ~ = ~  0,024 1
\item   9,056  ~ \(\times\)  ~ ... ~ = ~  0,905 6
\item   53,84  ~ \(\times\)  ~ ... ~ = ~  0,538 4
\item   6,42  ~ \(\times\)  ~ ... ~ = ~  0,064 2
\item   5 808  ~ \(\times\)  ~ ... ~ = ~  5,808
\item   2,785  ~ \(\times\)  ~ ... ~ = ~  0,278 5
\item   24,6  ~ \(\times\)  ~ ... ~ = ~  0,024 6
\item   3 950  ~ \(\times\)  ~ ... ~ = ~  3,95
\item   1,037  ~ \(\times\)  ~ ... ~ = ~  0,001 037
\item   511,7  ~ \(\times\)  ~ ... ~ = ~  0,511 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 ~dm~ = ...~m
\item   1 ~cm~ = ...~m
\item   1 ~hm~ = ...~dam
\item   1 ~m~ = ...~km
\item   1 ~dam~ = ...~cm
\item   1 ~m~ = ...~cm
\item   1 ~dm~ = ...~km
\item   1 ~hm~ = ...~dm
\item   1 ~dm~ = ...~dam
\item   1 ~m~ = ...~dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 401,8 ~cm~ = ...~km
\item   443,19 ~hm~ = ...~m
\item   224,23 ~daL~ = ...~cL
\item   5 586,6 ~dL~ = ...~L
\item   125,47 ~cm~ = ...~hm
\item   3 839,6 ~dm~ = ...~mm
\item   7 345,4 ~kL~ = ...~dL
\item   6 332,4 ~dag~ = ...~g
\item   5 941,3 ~dg~ = ...~mg
\item   6 224 ~kL~ = ...~hL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 = \(\dfrac{10}{10}\)
\item   6 = \(\dfrac{600}{100}\)
\item   \(\dfrac{2200}{100}\) = \(\dfrac{220}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{45}{10}\) = \(\dfrac{450}{100}\)
\item   \(\dfrac{24}{100}\) = \(\dfrac{240}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   867  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 86 700}
\item   0,056  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5,6}
\item   357  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 3 570}
\item   1,47  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 1 470}
\item   35  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 350}
\item   0,01  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,1}
\item   0,091  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 9,1}
\item   80  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 8 000}
\item   0,758  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 7,58}
\item   936  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 9 360}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   243 ~ : ~ 10 ~ = ~{\color{red} 24,3}
\item   4,881 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 881}
\item   79,14 ~ : ~ 100 ~ = ~{\color{red} 0,791 4}
\item   7,03 ~ : ~ 100 ~ = ~{\color{red} 0,070 3}
\item   8,648 ~ : ~ 10 ~ = ~{\color{red} 0,864 8}
\item   87,36 ~ : ~ 10 ~ = ~{\color{red} 8,736}
\item   6,625 ~ : ~ 1 000 ~ = ~{\color{red} 0,006 625}
\item   8,924 ~ : ~ 1 000 ~ = ~{\color{red} 0,008 924}
\item   69,74 ~ : ~ 1 000 ~ = ~{\color{red} 0,069 74}
\item   62,2 ~ : ~ 1 000 ~ = ~{\color{red} 0,062 2}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   848 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~84 800
\item   6,82 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~68,2
\item   3,51 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 510
\item   409 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~409 000
\item   0,476 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~476
\item   8,06 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~80,6
\item   0,02 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,2
\item   8,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~86
\item   9,26 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~92,6
\item   0,042 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~42
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   10,79 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,107 9
}\item   3,924 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,392 4
}\item   2,62 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,026 2
}\item   7 658 ~ \(\times\)  0,1 ~ = ~{\color{red} 765,8
}\item   2,308 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,230 8
}\item   4,45 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,044 5
}\item   4,556 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 556
}\item   6 988 ~ \(\times\)  0,1 ~ = ~{\color{red} 698,8
}\item   11,26 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,011 26
}\item   1 555 ~ \(\times\)  0,01 ~ = ~{\color{red} 15,55
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,241 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,024 1
\item   9,056 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,905 6
\item   53,84 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,538 4
\item   6,42 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,064 2
\item   5 808 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 5,808
\item   2,785 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,278 5
\item   24,6 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,024 6
\item   3 950 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,95
\item   1,037 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,001 037
\item   511,7 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,511 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 ~dm~ = ~  \(\dfrac{1}{10}\) ~ m
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~hm~ = ~ {\color{red}  10 ~ }dam
\item   1 ~m~ = ~  \(\dfrac{1}{1\,000}\) ~ km
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~hm~ = ~ {\color{red}  1 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   6 401,8 ~cm~ = {\color{red}  0,064 018 }~km
\item   443,19 ~hm~ = {\color{red}  44 319 }~m
\item   224,23 ~daL~ = {\color{red}  224 230 }~cL
\item   5 586,6 ~dL~ = {\color{red}  558,66 }~L
\item   125,47 ~cm~ = {\color{red}  0,012 547 }~hm
\item   3 839,6 ~dm~ = {\color{red}  383 960 }~mm
\item   7 345,4 ~kL~ = {\color{red}  73 454 000 }~dL
\item   6 332,4 ~dag~ = {\color{red}  63 324 }~g
\item   5 941,3 ~dg~ = {\color{red}  594 130 }~mg
\item   6 224 ~kL~ = {\color{red}  62 240 }~hL
\end{itemize}
\end{multicols}
\end{document}
