Calculate the subtraction (8.5−1.8i)−(−1.3+2.7i) . Provide the answer in the form of a+bi .(1 point)

1 answer

To calculate the subtraction \((8.5 - 1.8i) - (-1.3 + 2.7i)\), we first simplify the expression by distributing the negative sign to the terms in the second group:

\[ (8.5 - 1.8i) + (1.3 - 2.7i) \]

Now, we combine the real parts and the imaginary parts separately:

  1. Real parts: \(8.5 + 1.3 = 9.8\)
  2. Imaginary parts: \(-1.8i - 2.7i = -4.5i\)

Putting it all together, we have:

\[ 9.8 - 4.5i \]

Thus, the answer in the form \(a + bi\) is:

\[ \boxed{9.8 - 4.5i} \]