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If z = -3 + 4i, what is the real part of z?

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Question: If z = -3 + 4i, what is the real part of z?

Options:

  1. -3
  2. 4
  3. 0
  4. 3

Correct Answer: -3

Solution:

The real part of a complex number z = a + bi is a. Here, the real part is -3.

If z = -3 + 4i, what is the real part of z?

Practice Questions

Q1
If z = -3 + 4i, what is the real part of z?
  1. -3
  2. 4
  3. 0
  4. 3

Questions & Step-by-Step Solutions

If z = -3 + 4i, what is the real part of z?
  • Step 1: Identify the complex number given in the question, which is z = -3 + 4i.
  • Step 2: Understand that a complex number is made up of a real part and an imaginary part. The format is a + bi, where 'a' is the real part and 'bi' is the imaginary part.
  • Step 3: In the complex number z = -3 + 4i, the real part is the number before the '+' sign, which is -3.
  • Step 4: Therefore, the real part of z is -3.
  • Complex Numbers – Understanding the structure of complex numbers, where z = a + bi, with 'a' as the real part and 'b' as the imaginary part.
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