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\newcommand{\titre}{Conversions}
\newcommand{\soustitre}{Cycle 3 --- Fiche n\textdegree 121}

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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   2 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   5 = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{100}\)
\item   \(\dfrac{33}{100}\) = \(\dfrac{\fbox{\rule[-0.45ex]{0pt}{1.8ex}\hspace{1.4em}}}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,064  ~ \(\times\)  ~ 10
\item   9,69  ~ \(\times\)  ~ 100
\item   0,198  ~ \(\times\)  ~ 10
\item   0,07  ~ \(\times\)  ~ 100
\item   83,3  ~ \(\times\)  ~ 10
\item   0,49  ~ \(\times\)  ~ 100
\item   0,047  ~ \(\times\)  ~ 10
\item   1,61  ~ \(\times\)  ~ 10
\item   449  ~ \(\times\)  ~ 100
\item   96,8  ~ \(\times\)  ~ 1 000
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,101  ~ : ~ 10
\item   5 384  ~ : ~ 100
\item   46,4  ~ : ~ 100
\item   76,5  ~ : ~ 100
\item   24,6  ~ : ~ 10
\item   4,33  ~ : ~ 1 000
\item   87,6  ~ : ~ 10
\item   3 156  ~ : ~ 10
\item   627,3  ~ : ~ 100
\item   9 553  ~ : ~ 10
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,4  ~ \(\times\)  ~ ... ~ = ~ 194
\item   60,8  ~ \(\times\)  ~ ... ~ = ~ 60 800
\item   195  ~ \(\times\)  ~ ... ~ = ~ 19 500
\item   0,393  ~ \(\times\)  ~ ... ~ = ~ 3,93
\item   8,91  ~ \(\times\)  ~ ... ~ = ~ 8 910
\item   0,604  ~ \(\times\)  ~ ... ~ = ~ 60,4
\item   3,41  ~ \(\times\)  ~ ... ~ = ~ 3 410
\item   9,22  ~ \(\times\)  ~ ... ~ = ~ 9 220
\item   0,423  ~ \(\times\)  ~ ... ~ = ~ 42,3
\item   518  ~ \(\times\)  ~ ... ~ = ~ 51 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,265  ~ \(\times\)  ~ 0,001
\item   3,206  ~ \(\times\)  ~ 0,1
\item   6,535  ~ \(\times\)  ~ 0,1
\item   1 468  ~ \(\times\)  ~ 0,1
\item   8,642  ~ \(\times\)  ~ 0,01
\item   78,36  ~ \(\times\)  ~ 0,1
\item   464,8  ~ \(\times\)  ~ 0,01
\item   36,43  ~ \(\times\)  ~ 0,1
\item   3 046  ~ \(\times\)  ~ 0,1
\item   4,334  ~ \(\times\)  ~ 0,001
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,36  ~ \(\times\)  ~ ... ~ = ~  0,063 36
\item   2,47  ~ \(\times\)  ~ ... ~ = ~  0,247
\item   86,09  ~ \(\times\)  ~ ... ~ = ~  8,609
\item   1 118  ~ \(\times\)  ~ ... ~ = ~  111,8
\item   616,9  ~ \(\times\)  ~ ... ~ = ~  0,616 9
\item   928,9  ~ \(\times\)  ~ ... ~ = ~  0,928 9
\item   4 770  ~ \(\times\)  ~ ... ~ = ~  477
\item   9,189  ~ \(\times\)  ~ ... ~ = ~  0,091 89
\item   4 329  ~ \(\times\)  ~ ... ~ = ~  432,9
\item   3 498  ~ \(\times\)  ~ ... ~ = ~  3,498
\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 ~dam~ = ...~hm
\item   1 ~cm~ = ...~dm
\item   1 ~dm~ = ...~dam
\item   1 ~cm~ = ...~m
\item   1 ~km~ = ...~hm
\item   1 ~km~ = ...~dam
\item   1 ~km~ = ...~dm
\item   1 ~dm~ = ...~km
\item   1 ~dm~ = ...~hm
\item   1 ~hm~ = ...~cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 131,2 ~mm~ = ...~cm
\item   7 898,8 ~dam~ = ...~hm
\item   938,14 ~hL~ = ...~cL
\item   1 589,8 ~mm~ = ...~m
\item   610,56 ~daL~ = ...~dL
\item   9 556,4 ~cg~ = ...~kg
\item   8 898,5 ~kg~ = ...~dg
\item   4 484,2 ~kg~ = ...~cg
\item   793,15 ~dL~ = ...~mL
\item   889,6 ~mL~ = ...~cL
\end{itemize}
\end{multicols}
\newpage
\section*{\textcolor{red}{Correction}}

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

\begin{multicols}{2}
\begin{itemize}
\item   2 = \(\dfrac{20}{10}\)
\item   5 = \(\dfrac{500}{100}\)
\item   \(\dfrac{8500}{100}\) = \(\dfrac{850}{10}\)
\item   \(\dfrac{7}{10}\) = \(\dfrac{700}{1\,000}\)
\item   \(\dfrac{91}{10}\) = \(\dfrac{910}{100}\)
\item   \(\dfrac{33}{100}\) = \(\dfrac{330}{1\,000}\)
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   0,064  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,64}
\item   9,69  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 969}
\item   0,198  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 1,98}
\item   0,07  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 7}
\item   83,3  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 833}
\item   0,49  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 49}
\item   0,047  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 0,47}
\item   1,61  ~ \(\times\)  ~ 10 ~ = ~{\color{red} 16,1}
\item   449  ~ \(\times\)  ~ 100 ~ = ~{\color{red} 44 900}
\item   96,8  ~ \(\times\)  ~ 1 000 ~ = ~{\color{red} 96 800}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,101 ~ : ~ 10 ~ = ~{\color{red} 0,710 1}
\item   5 384 ~ : ~ 100 ~ = ~{\color{red} 53,84}
\item   46,4 ~ : ~ 100 ~ = ~{\color{red} 0,464}
\item   76,5 ~ : ~ 100 ~ = ~{\color{red} 0,765}
\item   24,6 ~ : ~ 10 ~ = ~{\color{red} 2,46}
\item   4,33 ~ : ~ 1 000 ~ = ~{\color{red} 0,004 33}
\item   87,6 ~ : ~ 10 ~ = ~{\color{red} 8,76}
\item   3 156 ~ : ~ 10 ~ = ~{\color{red} 315,6}
\item   627,3 ~ : ~ 100 ~ = ~{\color{red} 6,273}
\item   9 553 ~ : ~ 10 ~ = ~{\color{red} 955,3}
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   19,4 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~194
\item   60,8 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~60 800
\item   195 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~19 500
\item   0,393 ~ \(\times\)  ~ {\color{red} 10 ~ }= ~3,93
\item   8,91 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~8 910
\item   0,604 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~60,4
\item   3,41 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~3 410
\item   9,22 ~ \(\times\)  ~ {\color{red} 1 000 ~ }= ~9 220
\item   0,423 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~42,3
\item   518 ~ \(\times\)  ~ {\color{red} 100 ~ }= ~51 800
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   7,265 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,007 265
}\item   3,206 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,320 6
}\item   6,535 ~ \(\times\)  0,1 ~ = ~{\color{red} 0,653 5
}\item   1 468 ~ \(\times\)  0,1 ~ = ~{\color{red} 146,8
}\item   8,642 ~ \(\times\)  0,01 ~ = ~{\color{red} 0,086 42
}\item   78,36 ~ \(\times\)  0,1 ~ = ~{\color{red} 7,836
}\item   464,8 ~ \(\times\)  0,01 ~ = ~{\color{red} 4,648
}\item   36,43 ~ \(\times\)  0,1 ~ = ~{\color{red} 3,643
}\item   3 046 ~ \(\times\)  0,1 ~ = ~{\color{red} 304,6
}\item   4,334 ~ \(\times\)  0,001 ~ = ~{\color{red} 0,004 334
}\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   63,36 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,063 36
\item   2,47 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 0,247
\item   86,09 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 8,609
\item   1 118 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 111,8
\item   616,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,616 9
\item   928,9 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 0,928 9
\item   4 770 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 477
\item   9,189 ~ \(\times\) ~ {\color{red}  0,01 } ~ = ~ 0,091 89
\item   4 329 ~ \(\times\) ~ {\color{red}  0,1 } ~ = ~ 432,9
\item   3 498 ~ \(\times\) ~ {\color{red}  0,001 } ~ = ~ 3,498
\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 ~dam~ = ~  \(\dfrac{1}{10}\) ~ hm
\item   1 ~cm~ = ~  \(\dfrac{1}{10}\) ~ dm
\item   1 ~dm~ = ~  \(\dfrac{1}{100}\) ~ dam
\item   1 ~cm~ = ~  \(\dfrac{1}{100}\) ~ m
\item   1 ~km~ = ~ {\color{red}  10 ~ }hm
\item   1 ~km~ = ~ {\color{red}  100 ~ }dam
\item   1 ~km~ = ~ {\color{red}  10 000 ~ }dm
\item   1 ~dm~ = ~  \(\dfrac{1}{10\,000}\) ~ km
\item   1 ~dm~ = ~  \(\dfrac{1}{1\,000}\) ~ hm
\item   1 ~hm~ = ~ {\color{red}  10 000 ~ }cm
\end{itemize}
\end{multicols}

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

\begin{multicols}{2}
\begin{itemize}
\item   1 131,2 ~mm~ = {\color{red}  113,12 }~cm
\item   7 898,8 ~dam~ = {\color{red}  789,88 }~hm
\item   938,14 ~hL~ = {\color{red}  9 381 400 }~cL
\item   1 589,8 ~mm~ = {\color{red}  1,589 8 }~m
\item   610,56 ~daL~ = {\color{red}  61 056 }~dL
\item   9 556,4 ~cg~ = {\color{red}  0,095 564 }~kg
\item   8 898,5 ~kg~ = {\color{red}  88 985 000 }~dg
\item   4 484,2 ~kg~ = {\color{red}  448 420 000 }~cg
\item   793,15 ~dL~ = {\color{red}  79 315 }~mL
\item   889,6 ~mL~ = {\color{red}  88,96 }~cL
\end{itemize}
\end{multicols}
\end{document}
