Question

simplify.
5i ÷ 3
write your answer in the form a + bi.

Explanation:

Step1: Rewrite the division as a fraction

To simplify \(5i\div3\), we can write it as a fraction: \(\frac{5i}{3}\).

Step2: Express in the form \(a + bi\)

In the form \(a + bi\), the real part \(a\) is \(0\) (since there is no real number component) and the imaginary part \(b\) is \(\frac{5}{3}\). So we can write \(\frac{5i}{3}\) as \(0+\frac{5}{3}i\).

Answer:

\(0 + \frac{5}{3}i\)