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What is Absolute Value? Video Lecture | Crash Course for ACT

FAQs on What is Absolute Value? Video Lecture - Crash Course for ACT

1. What is the definition of absolute value?
Ans. The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by two vertical bars, for example, |x|. For any real number x, the absolute value is defined as |x| = x if x is greater than or equal to 0, and |x| = -x if x is less than 0.
2. How do you calculate the absolute value of negative numbers?
Ans. To calculate the absolute value of a negative number, you simply remove the negative sign. For example, the absolute value of -5 is |-5| = 5. This means that the distance of -5 from zero on the number line is 5 units.
3. What is the absolute value of zero?
Ans. The absolute value of zero is zero itself. Mathematically, |0| = 0. This indicates that zero is at the origin of the number line and has no distance from itself.
4. How is absolute value used in real-life situations?
Ans. Absolute value is used in various real-life situations, such as measuring distances, calculating deviations in statistics, and in fields like engineering and physics where direction does not matter but magnitude does. For example, when determining the altitude of an airplane, only the height above sea level is considered, regardless of whether it is above or below a reference point.
5. Can absolute value be negative?
Ans. No, absolute value cannot be negative. By definition, absolute value represents a non-negative distance from zero. Therefore, for any real number x, the absolute value |x| is always greater than or equal to zero.
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