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(10-7i)+(6+9i)

2 min read Jun 16, 2024
(10-7i)+(6+9i)

Adding Complex Numbers: (10 - 7i) + (6 + 9i)

This article will guide you through the process of adding the complex numbers (10 - 7i) and (6 + 9i).

Understanding Complex Numbers

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

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

Adding Complex Numbers

To add complex numbers, we simply add their real and imaginary parts separately.

  1. Identify the real and imaginary parts:

    • In (10 - 7i), the real part is 10 and the imaginary part is -7.
    • In (6 + 9i), the real part is 6 and the imaginary part is 9.

  2. Add the real parts:

    • 10 + 6 = 16

  3. Add the imaginary parts:

    • -7 + 9 = 2

  4. Combine the results:

    • The sum of the complex numbers is 16 + 2i.

Conclusion

Therefore, (10 - 7i) + (6 + 9i) = 16 + 2i.

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