Absolute value Absolute value represents the distance of a number from the origin on a number line. It is always non-negative, as distance cannot be negative. Examples: Absolute Value of Positive Numbers: ( |2| = 2 ) The distance of 2 from the origin is 2 units. Absolute Value of Negative Numbers: ( |-2| = 2 ) The distance of -2 from the origin is also 2 units. Absolute Value of Expressions: Example 1: ( |3 - 4| ) First, simplify inside the absolute value: (3 - 4 = -1). Then, find the absolute value: ( |-1| = 1 ). Example 2: ( -|4| ) First, find the absolute value of 4, which is 4. Then, apply the outside negative sign: Result is (-4). Key Concepts: When calculating the absolute value, the result is always positive, as it reflects distance. Simplify inside the absolute value brackets first, then apply the absolute value. If there is a sign outside the absolute value brackets, apply it after calculating the absolute value.