Chapter A.7, Problem 26AYU

To determine

To write:The given expression in the standard form $a+ib$ .

Answer to Problem 26AYU

The given expression in the standard form $a+ib$ is $\frac{1}{2}+i$ .

Explanation of Solution

Given information:

The expression is $\frac{2-i}{-2i}$ .

Calculation:

Consider the expression.

  $\begin{array}{c}\frac{2-i}{-2i}=\frac{2-i}{-2i}\frac{\left(2i\right)}{\left(2i\right)}\\ =\frac{4i-2\left(-1\right)}{-4\left(-1\right)}\\ =\frac{4i-2}{4}\\ =\frac{2}{4}+\frac{4}{4}i\\ =\frac{1}{2}+i\end{array}$