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.

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.