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(-4+7i)+(-3-8i)

2 min read Jun 16, 2024
(-4+7i)+(-3-8i)

Adding Complex Numbers: (-4 + 7i) + (-3 - 8i)

This article will guide you through the process of adding two complex numbers: (-4 + 7i) and (-3 - 8i).

Understanding Complex Numbers

Complex numbers are expressed in the form a + bi, where:

  • a represents the real part.
  • b represents the imaginary part.
  • i is the imaginary unit, where i² = -1.

Adding Complex Numbers

Adding complex numbers is straightforward. We simply add the real parts and the imaginary parts separately.

Step 1: Identify the real and imaginary parts of each complex number.

  • (-4 + 7i): Real part = -4, Imaginary part = 7
  • (-3 - 8i): Real part = -3, Imaginary part = -8

Step 2: Add the real parts together.

  • -4 + (-3) = -7

Step 3: Add the imaginary parts together.

  • 7 + (-8) = -1

Step 4: Combine the results to form the sum of the complex numbers.

  • (-4 + 7i) + (-3 - 8i) = -7 - i

Conclusion

Therefore, the sum of the complex numbers (-4 + 7i) and (-3 - 8i) is -7 - i.

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