# How do you simplify (-0.4+0.9i)-(-0.6+i) and write the complex number in standard form?

Sep 17, 2016

$0.2 - 0.1 i$

#### Explanation:

distribute the brackets and collect like terms.

distributing the brackets.

$= - 0.4 + 0.9 i + 0.6 - i$

collecting like terms.

$= \left(- 0.4 + 0.6\right) + \left(0.9 i - i\right)$

$= 0.2 - 0.1 i \leftarrow \text{ in standard form}$