(-2+3i)+(7-6i) In Standard Form

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (-2 + 3i) + (7 - 6i)

Complex numbers are expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit, where i² = -1. To add complex numbers, we simply add the real and imaginary components separately.

Let's break down the addition of (-2 + 3i) + (7 - 6i):

1. Identify the real and imaginary parts:

• (-2 + 3i): Real part = -2, Imaginary part = 3
• (7 - 6i): Real part = 7, Imaginary part = -6

2. Add the real parts:

• -2 + 7 = 5

3. Add the imaginary parts:

• 3 + (-6) = -3

4. Combine the results:

• The sum of the real parts is 5.
• The sum of the imaginary parts is -3.

Therefore, the standard form of (-2 + 3i) + (7 - 6i) is 5 - 3i.