Lösung 1.1:5b
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Lösning 1.1:5b moved to Solution 1.1:5b: Robot: moved page) |
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- | {{ | + | We write the numbers in decimal form and then compare them. By using |
- | < | + | <math>{1}/{10}\;=0.1,\quad {1}/{5}\;=0.2</math> |
- | {{ | + | and |
+ | <math>{1}/{3}\;=0.333...</math>, we have | ||
+ | |||
+ | |||
+ | <math>\begin{align} | ||
+ | & -\frac{1}{2}=-0.5 \\ | ||
+ | & \\ | ||
+ | & -\frac{1}{5}=-0.2 \\ | ||
+ | & \\ | ||
+ | & -\frac{3}{10}=-0.3 \\ | ||
+ | & \\ | ||
+ | & -\frac{1}{3}=-0.333... \\ | ||
+ | \end{align}</math> | ||
+ | |||
+ | If we just remember that these are negative numbers, we can see directly that | ||
+ | |||
+ | |||
+ | <math>\begin{align} | ||
+ | & -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5} \\ | ||
+ | & \\ | ||
+ | \end{align}</math> |
Version vom 09:16, 22. Sep. 2008
We write the numbers in decimal form and then compare them. By using \displaystyle {1}/{10}\;=0.1,\quad {1}/{5}\;=0.2 and \displaystyle {1}/{3}\;=0.333..., we have
\displaystyle \begin{align}
& -\frac{1}{2}=-0.5 \\
& \\
& -\frac{1}{5}=-0.2 \\
& \\
& -\frac{3}{10}=-0.3 \\
& \\
& -\frac{1}{3}=-0.333... \\
\end{align}
If we just remember that these are negative numbers, we can see directly that
\displaystyle \begin{align}
& -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5} \\
& \\
\end{align}