Let 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.