Define absolute value: Define the absolute value of a number. The absolute value of a number is the distance of that number from 0 on the number line, regardless of direction. For any real number x, the absolute value is defined as ∣x∣=x if x≥0, and ∣x∣=−x if x < 0.
Apply to 0: Apply the definition of absolute value to 0. Since 0 is neither positive nor negative, we can use the definition for non-negative numbers. Therefore, ∣0∣=0.
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