Let 
z
=
1
−
1
i

Calculate 
R
e
 
z
 (i.e., the real part of 
z
).

To find the real part of \( z = 1 - \frac{1}{i} \), let's first simplify \( \frac{1}{i} \).

1. Since \( \frac{1}{i} \) can be rewritten as:
   \[
   \frac{1}{i} = \frac{1}{i} \times \frac{-i}{-i} = \frac{-i}{-i^2} = \frac{-i}{1} = -i
   \]

2. Substitute this back into the expression for \( z \):
   \[
   z = 1 - (-i) = 1 + i
   \]

3. Now, \( z = 1 + i \). The real part of \( z \) is simply the coefficient of the real part:
   \[
   \text{Re}(z) = 1
   \]

Therefore, the real part of \( z \) is \( 1 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the imaginary part of a complex number?
2. What is the geometric interpretation of a complex number on the complex plane?
3. How do you multiply two complex numbers?
4. What is the conjugate of a complex number and how is it useful?
5. How can you express a complex number in polar form?

**Tip:** When dividing by \( i \) or any complex number, it can be helpful to multiply by the conjugate to simplify the expression.

Let z = 1 - 1/i. Calculate Re(z) (i.e., the real part of z).

Learn how to find the real part of the complex number z = 1 - 1/i. This problem involves simplifying complex expressions and identifying the real and imaginary components. Suitable for students in Grades 10-12.

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Let z

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