Subjects complex numbers

Absolute Value I 0F6C0A

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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.