# What is the opposite of the opposite of -1/2 on the number line?

Apr 9, 2017

$- \frac{1}{2}$

#### Explanation:

The 'opposite' of $\text{ "-1/2" }$ is $\text{ } + \frac{1}{2}$

The 'opposite of $\text{ "+1/2" }$ is $\text{ } - \frac{1}{2}$

So you are back where you started.

Mathematically this is like:

$\textcolor{g r e e n}{\left(- 1\right) \times \left(- 1\right)} \times \left(- \frac{1}{2}\right)$

The $\textcolor{g r e e n}{\left(- 1\right) \times \left(- 1\right)} = \textcolor{m a \ge n t a}{+ 1}$

Then the $\left(\textcolor{m a \ge n t a}{+ 1}\right) \times \left(- \frac{1}{2}\right) = - \frac{1}{2}$