Problem 107 - Introductory Algebra for College Students

Question

Describe what is meant by the absolute value of a number. Give an example with your explanation.

Step-by-Step Solution

Answer

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -7 is 7, because -7 is 7 units away from zero on the number line.

Step 1: Define Absolute Value

The absolute value of a number is its distance from zero on the number line, regardless of direction. In other words, it is the non-negative value of a number. It is denoted by the symbol '|' on either side of the number.

Step 2: Provide an Example

For instance, let's consider the number -7. Although -7 is a negative number, its absolute value is positive 7. This is represented as |-7| = 7. This means on the number line, -7 is 7 units away from zero.

Step 3: Discuss Special Cases

It's also important to note that the absolute value of zero is zero itself. As zero is at the origin of the number line, it is 0 units away from zero. So, |0| = 0.