Absolute Value

Let's start with a test!

The Test

Here is a -question, multi-choice test for the "Absolute Value" lesson. The pass mark is 90%. Don't worry! All the information you need to pass is in the lesson section under the test.

The Lesson

An absolute value, or modulus, of a number is the non-negative value of the number without regard to its sign. The absolute value of a number is denoted by || either side of the number. For example, the absolute value of 2 is denoted below, and is equal to 2:

What Is the Absolute Value of a Positive Number?

The absolute value of a positive number is just that positive number. For example:

What Is the Absolute Value of a Negative Number?

The absolute value of a negative number is the non-negative value of that number. It is that number with the minus sign ( - ) removed. For example:

Visualizing Absolute Values on a Number Line

On a number line, the absolute value of a number is given by its distance from zero. For example, it can be seen that 3 is 3 away from zero, and so has an absolute value of 3. It can also be seen that -2 is 2 away from 0, and so has an absolute value of 2:

The Absolute Value of Zero

The absolute value of 0 is 0. 0 is neither a positive nor negative number. As the absolute value of any other number is always positive, the absolute value of any number must be greater or equal to 0.

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