Absolute value
Absolute Value is a Grade 8 math skill in Saxon Math Course 3, Chapter 1, where students learn that the absolute value of a number is its distance from zero on the number line, always a non-negative result. Students use absolute value notation, evaluate expressions with absolute value, and apply absolute value in contexts such as comparing distances and working with negative numbers.
Key Concepts
Property The absolute value of a number is its distance from the origin on a number line. It is always positive because distance cannot be negative. For example, $| 5| = 5$.
Examples $| 8| = 8$ $|12| = 12$ If $|n| = 4$, then $n$ can be either $4$ or $ 4$.
Explanation Absolute value is like asking, “how many steps from zero are you?” The direction doesn’t matter, only the count. That's why the answer is always a positive number or zero. You can't take negative three steps!
Common Questions
What is absolute value in math?
Absolute value is the distance a number is from zero on the number line, always expressed as a non-negative number. The absolute value of both 5 and negative 5 is 5.
How do you write absolute value?
Absolute value is written by placing the number or expression between two vertical bars. For example, the absolute value of negative 7 is written as |−7| = 7.
Can the absolute value of a number ever be negative?
No. Absolute value represents distance, which is always zero or positive. The absolute value of any number is always greater than or equal to zero.
How is absolute value used in real life?
Absolute value is used when you care about the magnitude of a quantity but not its direction, such as measuring temperature change, error in measurements, or distance traveled.
Where is absolute value taught in Grade 8?
Absolute value is covered in Saxon Math Course 3, Chapter 1: Number and Operations and Measurement.