Absolute Value of 0

Professor Greenline Explaining Math Concepts

The absolute value of a number provides the distance of that number from the origin on the number line, which is zero. Since these values represent distance, they can never be negative. Let us see how to compute the absolute value of zero.

Absolute Value of 0 for US Students

What is the Absolute Value of Zero?

The absolute value of a number is written as |x|, where x is any number. The absolute value of x is defined as:
|x| = x, if x 0, meaning that the absolute value of x is positive if c is greater than or equal to 0, and,
|x| = -x, if x < 0, so if x is less than zero then the absolute value of x is negative.

As established above, zero is the origin point of a number line, so its distance from itself is 0 units. Therefore, the absolute value of zero is |0| = 0.

Important Glossaries of Absolute Value of Zero

Absolute Value: It is the non-negative distance of a number from zero on the number line.

Number line: A number line is a straight line on which real numbers are arranged at equal intervals.

Point of origin: 0 is the point of origin of a number line because all positive and negative numbers meet at 0.

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.