Calculate the subtraction (8.5−1.8i)−(−1.3+2.7i)

Question

. Provide the answer in the form of a+bi
.(1 point)

Answer 1

To perform the subtraction \((8.5 - 1.8i) - (-1.3 + 2.7i)\), we can break it down step by step.

1. First, rewrite the expression by eliminating the double negative: \[ (8.5 - 1.8i) + (1.3 - 2.7i) \]

2. Now, combine the real and imaginary parts separately:

   • Real parts: \(8.5 + 1.3\)
   • Imaginary parts: \(-1.8i - 2.7i\)

3. Calculate the real part: \[ 8.5 + 1.3 = 9.8 \]

4. Calculate the imaginary part: \[ -1.8i - 2.7i = -4.5i \]

5. Combining these results, we have: \[ 9.8 - 4.5i \]

Thus, the answer in the form \(a + bi\) is: \[ \boxed{9.8 - 4.5i} \]