1. The problem is to evaluate the absolute value of $i$, where $i$ is the imaginary unit defined by $i^2 = -1$.
2. The absolute value (or modulus) of a complex number $z = a + bi$ is given by the formula $$|z| = \sqrt{a^2 + b^2}$$ where $a$ is the real part and $b$ is the imaginary part.
3. For the number $i$, the real part $a = 0$ and the imaginary part $b = 1$.
4. Substitute these values into the formula:
$$|i| = \sqrt{0^2 + 1^2} = \sqrt{1} = 1$$
5. Therefore, the absolute value of $i$ is 1.
Absolute Value I 0F6C0A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.