Question

question 3
simplify -0.5i - i.
enter your answer in the box.

Explanation:

Step1: Identify like terms

The terms \(-0.5i\) and \(-i\) are like terms (both have the imaginary unit \(i\)).

Step2: Combine coefficients

To combine them, we add their coefficients. The coefficient of \(-0.5i\) is \(-0.5\) and the coefficient of \(-i\) is \(-1\) (since \(-i = -1 \times i\)). So we calculate \(-0.5 + (-1)\).
\(-0.5 + (-1) = -0.5 - 1 = -1.5\)

Step3: Write the simplified term

Multiply the combined coefficient by \(i\), so we get \(-1.5i\) (or \(-\frac{3}{2}i\)).

Answer:

\(-1.5i\) (or \(-\frac{3}{2}i\))