Absolute value of an integer
Definition
The absolute value of an integer is the distance between that number and zero on a number line, always expressed as a non-negative integer. It essentially removes any negative sign from the integer.
5 Must Know Facts For Your Next Test
- The absolute value of -5 is 5.
- The absolute value of 0 is 0 because it is already at zero on the number line.
- Absolute values are always non-negative.
- |a| = a if a ≥ 0, and |a| = -a if a < 0.
- The absolute value function is denoted by vertical bars, e.g., |x|.
Review Questions
- What is the absolute value of -7?
- Explain why the absolute value of any positive integer remains unchanged.
- How do you denote the absolute value of an integer in mathematical notation?
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Related terms
Integer: A whole number that can be positive, negative, or zero, but not a fraction or decimal.
Number Line: A visual representation of numbers placed in order along a straight line.
Non-negative Integer: An integer that is either positive or zero.
