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

Question

(
8.5
−
1.8
𝑖
)
−
(
−
1.3
+
2.7
𝑖
)
. Provide the answer in the form of a+bi
𝑎
+
𝑏
𝑖

Answer 1

To perform the subtraction \((8.5 - 1.8i) - (-1.3 + 2.7i)\), we first distribute the negative sign:

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

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

1. Real parts: \[ 8.5 + 1.3 = 9.8 \]

2. Imaginary parts: \[ -1.8 - 2.7 = -4.5 \]

Combining these results, we have:

\[ 9.8 - 4.5i \]

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

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