# Absolute Value Worksheets

What is Absolute Value? - In mathematics, an absolute term or commonly referred to as the modulus is denoted by |x| without any indication of the sign associated with it. The absolute value is a distance of a number from zero. For example, in the case below, the absolute value of 4 is 4. Yes, it may seem a bit obvious; why would not be the distance between 0 to 4 is 4. But absolute values show their true colors when the distance is not measured from 0. For example, the absolute value of -4 is also 4. The symbol for the absolute value is a | which is placed on each side of the number. For example, the absolute value of -6 is denoted by |-6|. It is important to remember that the absolute value for 5 and -5 is 5. So, it can be written as both |-5| or |5|. There is a wide range of applications where the generalization of absolute value takes place such as for quaternions, complex numbers, fields, ordered rings, and vector spaces.

• ### Basic Lesson

Demonstrates the skill of determining the absolute value of a sum. Practice problems are provided.

• ### Intermediate Lesson

Explains how to determine the absolute value of a difference. Practice problems are provided.

• ### Independent Practice 1

Contains 20 Absolute Value problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 absolute value problems.

• ### Homework Worksheet

12 absolute value problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Absolute Value problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### What About Zero and Negative Values?

The absolute value of a number is its distance from 0 on a number line. For negative numbers, the number is still just x units away from 0. The absolute value of -x is x. The absolute value leaves a positive unchanged, and makes a negative positive.