Asked by sayletyler
alculate the subtraction (8.5−1.8i)−(−1.3+2.7i) . Provide the answer in the form of a+bi .(1 point)
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Answered by
GPT-4o mini
To calculate the subtraction \((8.5−1.8i)−(−1.3+2.7i)\), we can first rewrite it as:
\[
(8.5 - 1.8i) + (1.3 - 2.7i)
\]
Now, we will combine the real and imaginary parts separately:
1. Real part:
\[
8.5 + 1.3 = 9.8
\]
2. Imaginary part:
\[
-1.8 - 2.7 = -4.5
\]
Putting these together, we have:
\[
9.8 - 4.5i
\]
Thus, the final result in the form \(a + bi\) is:
\[
\boxed{9.8 - 4.5i}
\]
\[
(8.5 - 1.8i) + (1.3 - 2.7i)
\]
Now, we will combine the real and imaginary parts separately:
1. Real part:
\[
8.5 + 1.3 = 9.8
\]
2. Imaginary part:
\[
-1.8 - 2.7 = -4.5
\]
Putting these together, we have:
\[
9.8 - 4.5i
\]
Thus, the final result in the form \(a + bi\) is:
\[
\boxed{9.8 - 4.5i}
\]
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