Mathematics 10 — Exercise 1.2 · Q2 (iv)

Full question

Find the additive inverse of the following complex number.

Step-by-step solution

1. An additive inverse is a number that sums with the original to give zero. Change the signs of both parts.

   $$\frac{2}{3}-\frac{5\times i}{4}=\frac{2}{3}-\frac{5\times i}{4}$$

2. Check by adding the original and its inverse.

   $$0=0$$

Answer

The final answer is shown below.