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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   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   \(\dfrac{5}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{76}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,23  ~ \(\times\)  ~ 100
\item   0,038  ~ \(\times\)  ~ 10
\item   52,5  ~ \(\times\)  ~ 100
\item   152  ~ \(\times\)  ~ 1 000
\item   8,27  ~ \(\times\)  ~ 1 000
\item   0,073  ~ \(\times\)  ~ 10
\item   326  ~ \(\times\)  ~ 1 000
\item   0,84  ~ \(\times\)  ~ 100
\item   582  ~ \(\times\)  ~ 100
\item   4,53  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,451  ~ : ~ 100
\item   86,42  ~ : ~ 10
\item   9 090  ~ : ~ 10
\item   6 635  ~ : ~ 1 000
\item   81,87  ~ : ~ 10
\item   5 429  ~ : ~ 10
\item   939,9  ~ : ~ 10
\item   2,435  ~ : ~ 10
\item   14,19  ~ : ~ 1 000
\item   8 117  ~ : ~ 100
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,73  ~ \(\times\)  ~ ... ~ = ~ 5 730
\item   0,014  ~ \(\times\)  ~ ... ~ = ~ 1,4
\item   0,084  ~ \(\times\)  ~ ... ~ = ~ 0,84
\item   0,083  ~ \(\times\)  ~ ... ~ = ~ 83
\item   6,1  ~ \(\times\)  ~ ... ~ = ~ 610
\item   0,01  ~ \(\times\)  ~ ... ~ = ~ 1
\item   0,033  ~ \(\times\)  ~ ... ~ = ~ 0,33
\item   30,6  ~ \(\times\)  ~ ... ~ = ~ 306
\item   85  ~ \(\times\)  ~ ... ~ = ~ 850
\item   6,36  ~ \(\times\)  ~ ... ~ = ~ 636
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 232  ~ \(\times\)  ~ 0,001
\item   223,4  ~ \(\times\)  ~ 0,1
\item   1,415  ~ \(\times\)  ~ 0,001
\item   86,95  ~ \(\times\)  ~ 0,001
\item   395,9  ~ \(\times\)  ~ 0,001
\item   9,764  ~ \(\times\)  ~ 0,001
\item   4,61  ~ \(\times\)  ~ 0,01
\item   5 956  ~ \(\times\)  ~ 0,01
\item   1,99  ~ \(\times\)  ~ 0,001
\item   559,4  ~ \(\times\)  ~ 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   3,66  ~ \(\times\)  ~ ... ~ = ~  0,366
\item   37,13  ~ \(\times\)  ~ ... ~ = ~  3,713
\item   5,549  ~ \(\times\)  ~ ... ~ = ~  0,554 9
\item   174,9  ~ \(\times\)  ~ ... ~ = ~  0,174 9
\item   3 685  ~ \(\times\)  ~ ... ~ = ~  3,685
\item   8 853  ~ \(\times\)  ~ ... ~ = ~  885,3
\item   213,9  ~ \(\times\)  ~ ... ~ = ~  0,213 9
\item   9 537  ~ \(\times\)  ~ ... ~ = ~  95,37
\item   16  ~ \(\times\)  ~ ... ~ = ~  1,6
\item   697  ~ \(\times\)  ~ ... ~ = ~  69,7
\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 ~hm~ = ...~cm
\item   1 ~dam~ = ...~cm
\item   1 ~dam~ = ...~hm
\item   1 ~m~ = ...~dm
\item   1 ~m~ = ...~cm
\item   1 ~dam~ = ...~m
\item   1 ~dm~ = ...~km
\item   1 ~cm~ = ...~hm
\item   1 ~cm~ = ...~m
\item   1 ~m~ = ...~hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 072,8 ~mL~ = ...~L
\item   1 379,5 ~mL~ = ...~dL
\item   743,15 ~mL~ = ...~daL
\item   4 472,9 ~km~ = ...~cm
\item   9 983,6 ~hL~ = ...~L
\item   7 113,5 ~hg~ = ...~mg
\item   2 220,5 ~dL~ = ...~L
\item   584,15 ~m~ = ...~mm
\item   8 847,9 ~dag~ = ...~mg
\item   1 575,9 ~L~ = ...~mL
\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   8 = \(\dfrac{800}{100}\)
\item   \(\dfrac{1600}{100}\) = \(\dfrac{160}{10}\)
\item   \(\dfrac{5}{10}\) = \(\dfrac{500}{1\,000}\)
\item   \(\dfrac{76}{10}\) = \(\dfrac{760}{100}\)
\item   \(\dfrac{73}{100}\) = \(\dfrac{730}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   4,23  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 423}
\item   0,038  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,38}
\item   52,5  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 5 250}
\item   152  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 152 000}
\item   8,27  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 8 270}
\item   0,073  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,73}
\item   326  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 326 000}
\item   0,84  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 84}
\item   582  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 58 200}
\item   4,53  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 4 530}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,451 ~ : ~ 100 ~ = ~{\color{red} 0,034 51}
\item   86,42 ~ : ~ 10 ~ = ~{\color{red} 8,642}
\item   9 090 ~ : ~ 10 ~ = ~{\color{red} 909}
\item   6 635 ~ : ~ 1 000 ~ = ~{\color{red} 6,635}
\item   81,87 ~ : ~ 10 ~ = ~{\color{red} 8,187}
\item   5 429 ~ : ~ 10 ~ = ~{\color{red} 542,9}
\item   939,9 ~ : ~ 10 ~ = ~{\color{red} 93,99}
\item   2,435 ~ : ~ 10 ~ = ~{\color{red} 0,243 5}
\item   14,19 ~ : ~ 1 000 ~ = ~{\color{red} 0,014 19}
\item   8 117 ~ : ~ 100 ~ = ~{\color{red} 81,17}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   5,73 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~5 730
\item   0,014 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1,4
\item   0,084 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,84
\item   0,083 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~83
\item   6,1 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~610
\item   0,01 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~1
\item   0,033 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~0,33
\item   30,6 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~306
\item   85 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~850
\item   6,36 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~636
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 232 ~ \(\times\)  0,001 ~ = ~{\color{red} 1,232
}\item   223,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 22,34
}\item   1,415 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 415
}\item   86,95 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,086 95
}\item   395,9 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,395 9
}\item   9,764 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,009 764
}\item   4,61 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,046 1
}\item   5 956 ~ \(\times\)  0,01 ~ = ~{\color{red} 59,56
}\item   1,99 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,001 99
}\item   559,4 ~ \(\times\)  0,1 ~ = ~{\color{red} 55,94
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   3,66 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,366
\item   37,13 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 3,713
\item   5,549 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,554 9
\item   174,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,174 9
\item   3 685 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,685
\item   8 853 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 885,3
\item   213,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,213 9
\item   9 537 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 95,37
\item   16 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 1,6
\item   697 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 69,7
\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 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  1 000 ~ }cm
\item   1 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~m~ = ~ {\color{red}  10 ~ }dm
\item   1 ~m~ = ~ {\color{red}  100 ~ }cm
\item   1 ~dam~ = ~ {\color{red}  10 ~ }m
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~cm~ = ~  \(\dfrac{1}{10\,000}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~m~ = ~  \(\dfrac{1}{100}\) ~ hm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   9 072,8 ~mL~ = {\color{red}  9,072 8 }~L
\item   1 379,5 ~mL~ = {\color{red}  13,795 }~dL
\item   743,15 ~mL~ = {\color{red}  0,074 315 }~daL
\item   4 472,9 ~km~ = {\color{red}  447 290 000 }~cm
\item   9 983,6 ~hL~ = {\color{red}  998 360 }~L
\item   7 113,5 ~hg~ = {\color{red}  711 350 000 }~mg
\item   2 220,5 ~dL~ = {\color{red}  222,05 }~L
\item   584,15 ~m~ = {\color{red}  584 150 }~mm
\item   8 847,9 ~dag~ = {\color{red}  88 479 000 }~mg
\item   1 575,9 ~L~ = {\color{red}  1 575 900 }~mL
\end{itemize}
\end{multicols}
\end{document}
