To calculate the total score in the game with complex numbers, we need to add Melissa's score to Tomas's score. Melissa's score is given as 5-4, and Tomas's score is given as 3+2i.
To add complex numbers, we add the real parts and the imaginary parts separately. The real part of a complex number is the coefficient of the imaginary unit 'i', and the imaginary part is the coefficient of 'i' multiplied by 'i'. Let's break down the addition step by step:
Melissa's score: 5-4
Real part: 5
Imaginary part: -4
Tomas's score: 3+2i
Real part: 3
Imaginary part: 2
Now, let's add the real parts and imaginary parts separately:
Real part: 5 + 3 = 8
Imaginary part: -4 + 2 = -2
Therefore, their total score is 8 - 2i.
In bold:
Their total score is 8 - 2i.