Question

calculate the subtraction (8.5 - 1.8i) - (-1.3 + 2.7i). provide the answer in the form of a + bi. (1 point)

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers, we first distribute the negative sign to the second complex number:
$(8.5 - 1.8i) - (-1.3 + 2.7i) = 8.5 - 1.8i + 1.3 - 2.7i$

Step2: Combine the real parts

Next, we combine the real parts (the terms without \(i\)):
$8.5 + 1.3 = 9.8$

Step3: Combine the imaginary parts

Then, we combine the imaginary parts (the terms with \(i\)):
$-1.8i - 2.7i = (-1.8 - 2.7)i = -4.5i$

Step4: Form the final complex number

Now, we combine the results from Step 2 and Step 3 to get the complex number in the form \(a + bi\):
$9.8 - 4.5i$

Answer:

\(9.8 - 4.5i\)